- FindStat

Identifier

Mp00108: Permutations —cycle type⟶ Integer partitions
Mp00230: Integer partitions —parallelogram polyomino⟶ Dyck paths
Mp00034: Dyck paths —to binary tree: up step, left tree, down step, right tree⟶ Binary trees
St000203: Binary trees ⟶ ℤ

Values

[1] => [1] => [1,0] => [.,.] => 1

[1,2] => [1,1] => [1,1,0,0] => [[.,.],.] => 2

[2,1] => [2] => [1,0,1,0] => [.,[.,.]] => 2

[1,2,3] => [1,1,1] => [1,1,0,1,0,0] => [[.,[.,.]],.] => 2

[1,3,2] => [2,1] => [1,0,1,1,0,0] => [.,[[.,.],.]] => 2

[2,1,3] => [2,1] => [1,0,1,1,0,0] => [.,[[.,.],.]] => 2

[2,3,1] => [3] => [1,0,1,0,1,0] => [.,[.,[.,.]]] => 3

[3,1,2] => [3] => [1,0,1,0,1,0] => [.,[.,[.,.]]] => 3

[3,2,1] => [2,1] => [1,0,1,1,0,0] => [.,[[.,.],.]] => 2

[1,2,3,4] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[.,[.,[.,.]]],.] => 2

[1,2,4,3] => [2,1,1] => [1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => 2

[1,3,2,4] => [2,1,1] => [1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => 2

[1,3,4,2] => [3,1] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => 3

[1,4,2,3] => [3,1] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => 3

[1,4,3,2] => [2,1,1] => [1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => 2

[2,1,3,4] => [2,1,1] => [1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => 2

[2,1,4,3] => [2,2] => [1,1,1,0,0,0] => [[[.,.],.],.] => 3

[2,3,1,4] => [3,1] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => 3

[2,3,4,1] => [4] => [1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => 4

[2,4,1,3] => [4] => [1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => 4

[2,4,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => 3

[3,1,2,4] => [3,1] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => 3

[3,1,4,2] => [4] => [1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => 4

[3,2,1,4] => [2,1,1] => [1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => 2

[3,2,4,1] => [3,1] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => 3

[3,4,1,2] => [2,2] => [1,1,1,0,0,0] => [[[.,.],.],.] => 3

[3,4,2,1] => [4] => [1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => 4

[4,1,2,3] => [4] => [1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => 4

[4,1,3,2] => [3,1] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => 3

[4,2,1,3] => [3,1] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => 3

[4,2,3,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [.,[[.,[.,.]],.]] => 2

[4,3,1,2] => [4] => [1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => 4

[4,3,2,1] => [2,2] => [1,1,1,0,0,0] => [[[.,.],.],.] => 3

[1,2,3,4,5] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,.]]]],.] => 2

[1,2,3,5,4] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[1,2,4,3,5] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[1,2,4,5,3] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[1,2,5,3,4] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[1,2,5,4,3] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[1,3,2,4,5] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[1,3,2,5,4] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[1,3,4,2,5] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[1,3,4,5,2] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[1,3,5,2,4] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[1,3,5,4,2] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[1,4,2,3,5] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[1,4,2,5,3] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[1,4,3,2,5] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[1,4,3,5,2] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[1,4,5,2,3] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[1,4,5,3,2] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[1,5,2,3,4] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[1,5,2,4,3] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[1,5,3,2,4] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[1,5,3,4,2] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[1,5,4,2,3] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[1,5,4,3,2] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[2,1,3,4,5] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[2,1,3,5,4] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[2,1,4,3,5] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[2,1,4,5,3] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[2,1,5,3,4] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[2,1,5,4,3] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[2,3,1,4,5] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[2,3,1,5,4] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[2,3,4,1,5] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[2,3,4,5,1] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[2,3,5,1,4] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[2,3,5,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[2,4,1,3,5] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[2,4,1,5,3] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[2,4,3,1,5] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[2,4,3,5,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[2,4,5,1,3] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[2,4,5,3,1] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[2,5,1,3,4] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[2,5,1,4,3] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[2,5,3,1,4] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[2,5,3,4,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[2,5,4,1,3] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[2,5,4,3,1] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[3,1,2,4,5] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[3,1,2,5,4] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[3,1,4,2,5] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[3,1,4,5,2] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[3,1,5,2,4] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[3,1,5,4,2] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[3,2,1,4,5] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[3,2,1,5,4] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[3,2,4,1,5] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[3,2,4,5,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[3,2,5,1,4] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[3,2,5,4,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[3,4,1,2,5] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[3,4,1,5,2] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[3,4,2,1,5] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[3,4,2,5,1] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[3,4,5,1,2] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[3,4,5,2,1] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[3,5,1,2,4] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[3,5,1,4,2] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

>>> Load all 21858 entries. <<<

[3,5,2,1,4] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[3,5,2,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[3,5,4,1,2] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[3,5,4,2,1] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[4,1,2,3,5] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[4,1,2,5,3] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[4,1,3,2,5] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[4,1,3,5,2] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[4,1,5,2,3] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[4,1,5,3,2] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[4,2,1,3,5] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[4,2,1,5,3] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[4,2,3,1,5] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[4,2,3,5,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[4,2,5,1,3] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[4,2,5,3,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[4,3,1,2,5] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[4,3,1,5,2] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[4,3,2,1,5] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[4,3,2,5,1] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[4,3,5,1,2] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[4,3,5,2,1] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[4,5,1,2,3] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[4,5,1,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[4,5,2,1,3] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[4,5,2,3,1] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[4,5,3,1,2] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[4,5,3,2,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[5,1,2,3,4] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[5,1,2,4,3] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[5,1,3,2,4] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[5,1,3,4,2] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[5,1,4,2,3] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[5,1,4,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[5,2,1,3,4] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[5,2,1,4,3] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[5,2,3,1,4] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[.,[.,.]],.]]] => 3

[5,2,3,4,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [.,[[.,[.,[.,.]]],.]] => 2

[5,2,4,1,3] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[5,2,4,3,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[5,3,1,2,4] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[5,3,1,4,2] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[5,3,2,1,4] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[5,3,2,4,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[5,3,4,1,2] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[5,3,4,2,1] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[5,4,1,2,3] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[5,4,1,3,2] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[5,4,2,1,3] => [5] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => 5

[5,4,2,3,1] => [3,2] => [1,0,1,1,1,0,0,0] => [.,[[[.,.],.],.]] => 2

[5,4,3,1,2] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => 4

[5,4,3,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[[.,.],[.,.]],.] => 3

[1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,.]]]]],.] => 2

[1,2,3,4,6,5] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,2,3,5,4,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,2,3,5,6,4] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,2,3,6,4,5] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,2,3,6,5,4] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,2,4,3,5,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,2,4,3,6,5] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,2,4,5,3,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,2,4,5,6,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,2,4,6,3,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,2,4,6,5,3] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,2,5,3,4,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,2,5,3,6,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,2,5,4,3,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,2,5,4,6,3] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,2,5,6,3,4] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,2,5,6,4,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,2,6,3,4,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,2,6,4,3,5] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,2,6,4,5,3] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,2,6,5,3,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,2,6,5,4,3] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,3,2,4,5,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,3,2,4,6,5] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,3,2,5,4,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,3,2,5,6,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,3,2,6,4,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,3,2,6,5,4] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,3,4,2,5,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,3,4,2,6,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,3,4,5,2,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,3,4,5,6,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,3,4,6,2,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,3,4,6,5,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,3,5,2,4,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,3,5,2,6,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,3,5,4,2,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,3,5,4,6,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,3,5,6,2,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,3,5,6,4,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,3,6,2,4,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,3,6,2,5,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,3,6,4,2,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,3,6,4,5,2] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,3,6,5,2,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,3,6,5,4,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,4,2,3,5,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,4,2,3,6,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,4,2,5,3,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,4,2,5,6,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,4,2,6,3,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,4,2,6,5,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,4,3,2,5,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,4,3,2,6,5] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,4,3,5,2,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,4,3,5,6,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,4,3,6,2,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,4,3,6,5,2] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,4,5,2,3,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,4,5,2,6,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,4,5,3,2,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,4,5,3,6,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,4,5,6,2,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,4,5,6,3,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,4,6,2,3,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,4,6,2,5,3] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,4,6,3,2,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,4,6,3,5,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,4,6,5,2,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,4,6,5,3,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,5,2,3,4,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,5,2,3,6,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,5,2,4,6,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,5,2,6,3,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,5,2,6,4,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,5,3,2,4,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,5,3,2,6,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,5,3,4,2,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,5,3,4,6,2] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,5,3,6,2,4] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,5,3,6,4,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,5,4,2,3,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,5,4,2,6,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,5,4,3,2,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,5,4,3,6,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,5,4,6,2,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,5,4,6,3,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,5,6,2,3,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,5,6,2,4,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,5,6,3,2,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,5,6,3,4,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,5,6,4,2,3] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,5,6,4,3,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,6,2,3,4,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,6,2,3,5,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,6,2,4,3,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,6,2,4,5,3] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,6,2,5,3,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,6,2,5,4,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,6,3,2,4,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,6,3,2,5,4] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,6,3,4,2,5] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[1,6,3,4,5,2] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[1,6,3,5,2,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,6,3,5,4,2] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,6,4,2,3,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,6,4,2,5,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,6,4,3,2,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,6,4,3,5,2] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[1,6,4,5,2,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,6,4,5,3,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,6,5,2,3,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,6,5,2,4,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,6,5,3,2,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[1,6,5,3,4,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[1,6,5,4,2,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[1,6,5,4,3,2] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[2,1,3,4,5,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[2,1,3,4,6,5] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[2,1,3,5,4,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[2,1,3,5,6,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,1,3,6,4,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,1,3,6,5,4] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[2,1,4,3,5,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[2,1,4,3,6,5] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[2,1,4,5,3,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,1,4,5,6,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,1,4,6,3,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,1,4,6,5,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,1,5,3,4,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,1,5,3,6,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,1,5,4,3,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[2,1,5,4,6,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,1,5,6,3,4] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[2,1,5,6,4,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,1,6,3,4,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,1,6,3,5,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,1,6,4,3,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,1,6,4,5,3] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[2,1,6,5,3,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,1,6,5,4,3] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[2,3,1,4,5,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[2,3,1,4,6,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,3,1,5,4,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,3,1,5,6,4] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[2,3,1,6,4,5] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[2,3,1,6,5,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,3,4,1,5,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,3,4,1,6,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,3,4,5,1,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,3,4,5,6,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,3,4,6,1,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,3,4,6,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,3,5,1,4,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,3,5,1,6,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,3,5,4,1,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,3,5,4,6,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,3,5,6,1,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,3,5,6,4,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,3,6,1,4,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,3,6,1,5,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,3,6,4,1,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,3,6,4,5,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,3,6,5,1,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,3,6,5,4,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,4,1,3,5,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,4,1,3,6,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,4,1,5,3,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,4,1,5,6,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,4,1,6,3,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,4,1,6,5,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,4,3,1,5,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[2,4,3,1,6,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,4,3,5,1,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,4,3,5,6,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,4,3,6,1,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,4,3,6,5,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,4,5,1,3,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,4,5,1,6,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[2,4,5,3,1,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,4,5,3,6,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,4,5,6,1,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,4,5,6,3,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,4,6,1,3,5] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[2,4,6,1,5,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,4,6,3,1,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,4,6,3,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,4,6,5,1,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,4,6,5,3,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,5,1,3,4,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,5,1,3,6,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,5,1,4,3,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,5,1,4,6,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,5,1,6,3,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,5,1,6,4,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,5,3,1,4,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,5,3,1,6,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,5,3,4,1,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[2,5,3,4,6,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,5,3,6,1,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,5,3,6,4,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,5,4,1,3,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,5,4,1,6,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,5,4,3,1,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,5,4,3,6,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,5,4,6,1,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[2,5,4,6,3,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,5,6,1,3,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,5,6,1,4,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,5,6,3,1,4] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[2,5,6,3,4,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,5,6,4,1,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,5,6,4,3,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,6,1,3,4,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,6,1,3,5,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,6,1,4,3,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,6,1,4,5,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,6,1,5,3,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,6,1,5,4,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,6,3,1,4,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,6,3,1,5,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,6,3,4,1,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[2,6,3,4,5,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[2,6,3,5,1,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,6,3,5,4,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,6,4,1,3,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,6,4,1,5,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,6,4,3,1,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,6,4,3,5,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[2,6,4,5,1,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,6,4,5,3,1] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[2,6,5,1,3,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[2,6,5,1,4,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,6,5,3,1,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[2,6,5,3,4,1] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[2,6,5,4,1,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[2,6,5,4,3,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,1,2,4,5,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[3,1,2,4,6,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,1,2,5,4,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,1,2,5,6,4] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[3,1,2,6,4,5] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[3,1,2,6,5,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,1,4,2,5,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,1,4,2,6,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,1,4,5,2,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,1,4,5,6,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,1,4,6,2,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,1,4,6,5,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,1,5,2,4,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,1,5,2,6,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,1,5,4,2,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,1,5,4,6,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,1,5,6,2,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,1,5,6,4,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,1,6,2,4,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,1,6,2,5,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,1,6,4,2,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,1,6,4,5,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,1,6,5,2,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,1,6,5,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,2,1,4,5,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[3,2,1,4,6,5] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[3,2,1,5,4,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[3,2,1,5,6,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,2,1,6,4,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,2,1,6,5,4] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[3,2,4,1,5,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[3,2,4,1,6,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,2,4,5,1,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,2,4,5,6,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,2,4,6,1,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,2,4,6,5,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,2,5,1,4,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,2,5,1,6,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,2,5,4,1,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[3,2,5,4,6,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,2,5,6,1,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,2,5,6,4,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,2,6,1,4,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,2,6,1,5,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,2,6,4,1,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,2,6,4,5,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[3,2,6,5,1,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,2,6,5,4,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,4,1,2,5,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[3,4,1,2,6,5] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[3,4,1,5,2,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,4,1,5,6,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,4,1,6,2,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,4,1,6,5,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,4,2,1,5,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,4,2,1,6,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,4,2,5,1,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,4,2,5,6,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,4,2,6,1,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,4,2,6,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,4,5,1,2,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,4,5,1,6,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,4,5,2,1,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,4,5,2,6,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,4,5,6,1,2] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[3,4,5,6,2,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,4,6,1,2,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,4,6,1,5,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,4,6,2,1,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,4,6,2,5,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,4,6,5,1,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,4,6,5,2,1] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[3,5,1,2,4,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,5,1,2,6,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,5,1,4,2,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[3,5,1,4,6,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,5,1,6,2,4] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[3,5,1,6,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,5,2,1,4,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,5,2,1,6,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,5,2,4,1,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,5,2,4,6,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,5,2,6,1,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,5,2,6,4,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,5,4,1,2,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,5,4,1,6,2] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[3,5,4,2,1,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,5,4,2,6,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,5,4,6,1,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,5,4,6,2,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,5,6,1,2,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,5,6,1,4,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,5,6,2,1,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,5,6,2,4,1] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[3,5,6,4,1,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,5,6,4,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,6,1,2,4,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,6,1,2,5,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,6,1,4,2,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,6,1,4,5,2] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[3,6,1,5,2,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,6,1,5,4,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[3,6,2,1,4,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,6,2,1,5,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,6,2,4,1,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,6,2,4,5,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[3,6,2,5,1,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,6,2,5,4,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,6,4,1,2,5] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[3,6,4,1,5,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,6,4,2,1,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,6,4,2,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[3,6,4,5,1,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,6,4,5,2,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,6,5,1,2,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,6,5,1,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[3,6,5,2,1,4] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[3,6,5,2,4,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[3,6,5,4,1,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[3,6,5,4,2,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,1,2,3,5,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,1,2,3,6,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,1,2,5,3,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,1,2,5,6,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,1,2,6,3,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,1,2,6,5,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,1,3,2,5,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[4,1,3,2,6,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,1,3,5,2,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,1,3,5,6,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,1,3,6,2,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,1,3,6,5,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,1,5,2,3,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,1,5,2,6,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[4,1,5,3,2,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,1,5,3,6,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,1,5,6,2,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,1,5,6,3,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,1,6,2,3,5] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[4,1,6,2,5,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,1,6,3,2,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,1,6,3,5,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,1,6,5,2,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,1,6,5,3,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,2,1,3,5,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[4,2,1,3,6,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,2,1,5,3,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,2,1,5,6,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,2,1,6,3,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,2,1,6,5,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,2,3,1,5,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[4,2,3,1,6,5] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[4,2,3,5,1,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[4,2,3,5,6,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,2,3,6,1,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,2,3,6,5,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[4,2,5,1,3,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[4,2,5,1,6,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,2,5,3,1,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,2,5,3,6,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,2,5,6,1,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,2,5,6,3,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,2,6,1,3,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,2,6,1,5,3] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[4,2,6,3,1,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,2,6,3,5,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,2,6,5,1,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,2,6,5,3,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,3,1,2,5,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,3,1,2,6,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,3,1,5,2,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,3,1,5,6,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,3,1,6,2,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,3,1,6,5,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,3,2,1,5,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[4,3,2,1,6,5] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[4,3,2,5,1,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,3,2,5,6,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,3,2,6,1,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,3,2,6,5,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,3,5,1,2,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,3,5,1,6,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,3,5,2,1,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,3,5,2,6,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,3,5,6,1,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,3,5,6,2,1] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[4,3,6,1,2,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,3,6,1,5,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,3,6,2,1,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,3,6,2,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,3,6,5,1,2] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[4,3,6,5,2,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,5,1,2,3,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,5,1,2,6,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,5,1,3,2,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,5,1,3,6,2] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[4,5,1,6,2,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,5,1,6,3,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,5,2,1,3,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,5,2,1,6,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,5,2,3,1,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,5,2,3,6,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,5,2,6,1,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,5,2,6,3,1] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[4,5,3,1,2,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[4,5,3,1,6,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,5,3,2,1,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,5,3,2,6,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,5,3,6,1,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,5,3,6,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,5,6,1,2,3] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[4,5,6,1,3,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,5,6,2,1,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,5,6,2,3,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,5,6,3,1,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,5,6,3,2,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,6,1,2,3,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,6,1,2,5,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,6,1,3,2,5] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[4,6,1,3,5,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,6,1,5,2,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,6,1,5,3,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,6,2,1,3,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,6,2,1,5,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,6,2,3,1,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,6,2,3,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,6,2,5,1,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[4,6,2,5,3,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,6,3,1,2,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,6,3,1,5,2] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[4,6,3,2,1,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,6,3,2,5,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[4,6,3,5,1,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[4,6,3,5,2,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[4,6,5,1,2,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,6,5,1,3,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[4,6,5,2,1,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[4,6,5,2,3,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,6,5,3,1,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[4,6,5,3,2,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,1,2,3,4,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,1,2,3,6,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,1,2,4,3,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,1,2,4,6,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,1,2,6,3,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,1,2,6,4,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,1,3,2,4,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,1,3,2,6,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,1,3,4,2,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[5,1,3,4,6,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,1,3,6,2,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,1,3,6,4,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,1,4,2,3,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,1,4,2,6,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,1,4,3,2,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,1,4,3,6,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,1,4,6,2,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[5,1,4,6,3,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,1,6,2,3,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,1,6,2,4,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,1,6,3,2,4] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[5,1,6,3,4,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,1,6,4,2,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,1,6,4,3,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,2,1,3,4,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,2,1,3,6,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,2,1,4,3,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[5,2,1,4,6,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,2,1,6,3,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,2,1,6,4,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,2,3,1,4,6] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[5,2,3,1,6,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,2,3,4,1,6] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[5,2,3,4,6,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[5,2,3,6,1,4] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[5,2,3,6,4,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,2,4,1,3,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,2,4,1,6,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,2,4,3,1,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[5,2,4,3,6,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,2,4,6,1,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,2,4,6,3,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,2,6,1,3,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,2,6,1,4,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,2,6,3,1,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,2,6,3,4,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,2,6,4,1,3] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[5,2,6,4,3,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,3,1,2,4,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,3,1,2,6,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,3,1,4,2,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,3,1,4,6,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,3,1,6,2,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,3,1,6,4,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,3,2,1,4,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,3,2,1,6,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,3,2,4,1,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[5,3,2,4,6,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,3,2,6,1,4] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[5,3,2,6,4,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,3,4,1,2,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,3,4,1,6,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,3,4,2,1,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,3,4,2,6,1] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[5,3,4,6,1,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,3,4,6,2,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,3,6,1,2,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,3,6,1,4,2] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[5,3,6,2,1,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,3,6,2,4,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,3,6,4,1,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,3,6,4,2,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,4,1,2,3,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,4,1,2,6,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,4,1,3,2,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,4,1,3,6,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,4,1,6,2,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,4,1,6,3,2] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[5,4,2,1,3,6] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,4,2,1,6,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,4,2,3,1,6] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,4,2,3,6,1] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[5,4,2,6,1,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,4,2,6,3,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,4,3,1,2,6] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,4,3,1,6,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,4,3,2,1,6] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[5,4,3,2,6,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,4,3,6,1,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,4,3,6,2,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,4,6,1,2,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,4,6,1,3,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,4,6,2,1,3] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[5,4,6,2,3,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,4,6,3,1,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,4,6,3,2,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,6,1,2,3,4] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[5,6,1,2,4,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,6,1,3,2,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,6,1,3,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,6,1,4,2,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,6,1,4,3,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,6,2,1,3,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,6,2,1,4,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[5,6,2,3,1,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,6,2,3,4,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,6,2,4,1,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,6,2,4,3,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,6,3,1,2,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,6,3,1,4,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,6,3,2,1,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[5,6,3,2,4,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[5,6,3,4,1,2] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[5,6,3,4,2,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[5,6,4,1,2,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,6,4,1,3,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,6,4,2,1,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[5,6,4,2,3,1] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[5,6,4,3,1,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[5,6,4,3,2,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,1,2,3,4,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,1,2,3,5,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,1,2,4,3,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,1,2,4,5,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,1,2,5,3,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,1,2,5,4,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,1,3,2,4,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,1,3,2,5,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,1,3,4,2,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,1,3,4,5,2] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[6,1,3,5,2,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,1,3,5,4,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,1,4,2,3,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,1,4,2,5,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,1,4,3,2,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,1,4,3,5,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,1,4,5,2,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,1,4,5,3,2] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[6,1,5,2,3,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,1,5,2,4,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,1,5,3,2,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,1,5,3,4,2] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[6,1,5,4,2,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,1,5,4,3,2] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,2,1,3,4,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,2,1,3,5,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,2,1,4,3,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,2,1,4,5,3] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[6,2,1,5,3,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,2,1,5,4,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,2,3,1,4,5] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,2,3,1,5,4] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[6,2,3,4,1,5] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,.]]],.]]] => 3

[6,2,3,4,5,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,.]]]],.]] => 2

[6,2,3,5,1,4] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,2,3,5,4,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[6,2,4,1,3,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,2,4,1,5,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,2,4,3,1,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,2,4,3,5,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[6,2,4,5,1,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,2,4,5,3,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,2,5,1,3,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,2,5,1,4,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,2,5,3,1,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,2,5,3,4,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,2,5,4,1,3] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,2,5,4,3,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[6,3,1,2,4,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,3,1,2,5,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,3,1,4,2,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,3,1,4,5,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,3,1,5,2,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,3,1,5,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,3,2,1,4,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,3,2,1,5,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,3,2,4,1,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,3,2,4,5,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[6,3,2,5,1,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,3,2,5,4,1] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[6,3,4,1,2,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,3,4,1,5,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,3,4,2,1,5] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[6,3,4,2,5,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,3,4,5,1,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,3,4,5,2,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,3,5,1,2,4] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[6,3,5,1,4,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,3,5,2,1,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,3,5,2,4,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,3,5,4,1,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,3,5,4,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,4,1,2,3,5] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,4,1,2,5,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,4,1,3,2,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,4,1,3,5,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,4,1,5,2,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[6,4,1,5,3,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,4,2,1,3,5] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,4,2,1,5,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,4,2,3,1,5] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[6,4,2,3,5,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,4,2,5,1,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,4,2,5,3,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,4,3,1,2,5] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,4,3,1,5,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,4,3,2,1,5] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,4,3,2,5,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[6,4,3,5,1,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,4,3,5,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,4,5,1,2,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,4,5,1,3,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,4,5,2,1,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,4,5,2,3,1] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[6,4,5,3,1,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,4,5,3,2,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,5,1,2,3,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,5,1,2,4,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[6,5,1,3,2,4] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,5,1,3,4,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,5,1,4,2,3] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,5,1,4,3,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,5,2,1,3,4] => [3,3] => [1,1,1,0,1,0,0,0] => [[[.,[.,.]],.],.] => 3

[6,5,2,1,4,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,5,2,3,1,4] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,5,2,3,4,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,5,2,4,1,3] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,5,2,4,3,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,5,3,1,2,4] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,5,3,1,4,2] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,5,3,2,1,4] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => 5

[6,5,3,2,4,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [.,[[[.,.],[.,.]],.]] => 2

[6,5,3,4,1,2] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[[.,[.,.]],.]]]] => 4

[6,5,3,4,2,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[[.,.],[.,[.,.]]],.] => 3

[6,5,4,1,2,3] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,5,4,1,3,2] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,5,4,2,1,3] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => 6

[6,5,4,2,3,1] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,5,4,3,1,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[[.,.],.],.]]] => 3

[6,5,4,3,2,1] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[[[.,.],.],.],.] => 4

[1,2,3,4,5,6,7] => [1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => 2

[1,2,3,4,5,7,6] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,3,4,6,5,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,3,4,6,7,5] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,3,4,7,5,6] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,3,4,7,6,5] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,3,5,4,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,3,5,4,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,3,5,6,4,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,3,5,6,7,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,3,5,7,4,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,3,5,7,6,4] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,3,6,4,5,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,3,6,4,7,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,3,6,5,4,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,3,6,5,7,4] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,3,6,7,4,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,3,6,7,5,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,3,7,4,5,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,3,7,5,4,6] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,3,7,5,6,4] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,3,7,6,4,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,3,7,6,5,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,4,3,5,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,4,3,5,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,4,3,6,5,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,4,3,6,7,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,4,3,7,5,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,4,3,7,6,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,4,5,3,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,4,5,3,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,4,5,6,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,4,5,6,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,4,5,7,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,4,5,7,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,4,6,3,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,4,6,3,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,4,6,5,3,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,4,6,5,7,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,4,6,7,3,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,4,6,7,5,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,4,7,3,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,4,7,3,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,4,7,5,3,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,4,7,5,6,3] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,4,7,6,3,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,4,7,6,5,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,5,3,4,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,5,3,4,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,5,3,6,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,5,3,6,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,5,3,7,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,5,3,7,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,5,4,3,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,5,4,3,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,5,4,6,3,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,5,4,6,7,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,5,4,7,3,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,5,4,7,6,3] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,5,6,3,4,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,5,6,3,7,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,5,6,4,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,5,6,4,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,5,6,7,3,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,5,6,7,4,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,5,7,3,4,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,5,7,3,6,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,5,7,4,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,5,7,4,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,5,7,6,3,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,5,7,6,4,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,6,3,4,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,6,3,4,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,6,3,5,7,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,6,3,7,4,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,6,3,7,5,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,6,4,3,5,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,6,4,3,7,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,6,4,5,3,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,6,4,5,7,3] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,6,4,7,3,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,6,4,7,5,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,6,5,3,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,6,5,3,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,6,5,4,3,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,6,5,4,7,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,6,5,7,3,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,6,5,7,4,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,6,7,3,4,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,6,7,3,5,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,6,7,4,3,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,6,7,4,5,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,6,7,5,3,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,6,7,5,4,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,7,3,4,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,7,3,4,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,7,3,5,4,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,7,3,6,4,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,7,3,6,5,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,7,4,3,5,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,7,4,3,6,5] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,7,4,5,3,6] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,2,7,4,5,6,3] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,2,7,4,6,3,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,7,4,6,5,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,7,5,3,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,7,5,3,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,7,5,4,3,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,7,5,4,6,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,2,7,5,6,3,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,7,5,6,4,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,7,6,3,4,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,7,6,3,5,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,7,6,4,3,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,2,7,6,4,5,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,2,7,6,5,3,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,2,7,6,5,4,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,3,2,4,5,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,3,2,4,5,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,3,2,4,6,5,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,3,2,4,6,7,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,2,4,7,5,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,2,4,7,6,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,3,2,5,4,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,3,2,5,4,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,3,2,5,6,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,2,5,6,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,2,5,7,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,2,5,7,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,2,6,4,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,2,6,4,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,2,6,5,4,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,3,2,6,5,7,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,2,6,7,4,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,3,2,6,7,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,2,7,4,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,2,7,4,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,2,7,5,4,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,2,7,5,6,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,3,2,7,6,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,2,7,6,5,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,3,4,2,5,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,3,4,2,5,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,4,2,6,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,4,2,6,7,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,3,4,2,7,5,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,3,4,2,7,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,4,5,2,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,4,5,2,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,4,5,6,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,4,5,6,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,4,5,7,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,4,5,7,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,4,6,2,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,4,6,2,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,4,6,5,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,4,6,5,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,4,6,7,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,4,6,7,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,4,7,2,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,4,7,2,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,4,7,5,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,4,7,5,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,4,7,6,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,4,7,6,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,5,2,4,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,5,2,4,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,5,2,6,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,5,2,6,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,5,2,7,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,5,2,7,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,5,4,2,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,3,5,4,2,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,5,4,6,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,5,4,6,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,5,4,7,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,5,4,7,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,5,6,2,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,5,6,2,7,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,3,5,6,4,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,5,6,4,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,5,6,7,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,5,6,7,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,5,7,2,4,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,3,5,7,2,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,5,7,4,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,5,7,4,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,5,7,6,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,5,7,6,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,6,2,4,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,6,2,4,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,6,2,5,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,6,2,5,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,6,2,7,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,6,2,7,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,6,4,2,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,6,4,2,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,6,4,5,2,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,3,6,4,5,7,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,6,4,7,2,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,6,4,7,5,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,6,5,2,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,6,5,2,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,6,5,4,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,6,5,4,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,6,5,7,2,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,3,6,5,7,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,6,7,2,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,6,7,2,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,6,7,4,2,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,3,6,7,4,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,6,7,5,2,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,6,7,5,4,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,7,2,4,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,7,2,4,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,7,2,5,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,7,2,5,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,7,2,6,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,7,2,6,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,7,4,2,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,7,4,2,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,7,4,5,2,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,3,7,4,5,6,2] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,3,7,4,6,2,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,7,4,6,5,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,7,5,2,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,7,5,2,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,7,5,4,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,7,5,4,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,3,7,5,6,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,7,5,6,4,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,3,7,6,2,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,3,7,6,2,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,7,6,4,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,3,7,6,4,5,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,3,7,6,5,2,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,3,7,6,5,4,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,2,3,5,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,4,2,3,5,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,2,3,6,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,2,3,6,7,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,4,2,3,7,5,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,4,2,3,7,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,2,5,3,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,2,5,3,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,2,5,6,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,2,5,6,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,2,5,7,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,2,5,7,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,2,6,3,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,2,6,3,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,2,6,5,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,2,6,5,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,2,6,7,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,2,6,7,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,2,7,3,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,2,7,3,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,2,7,5,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,2,7,5,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,2,7,6,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,2,7,6,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,3,2,5,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,4,3,2,5,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,4,3,2,6,5,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,4,3,2,6,7,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,3,2,7,5,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,3,2,7,6,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,4,3,5,2,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,4,3,5,2,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,3,5,6,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,3,5,6,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,3,5,7,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,3,5,7,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,3,6,2,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,3,6,2,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,3,6,5,2,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,4,3,6,5,7,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,3,6,7,2,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,3,6,7,5,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,3,7,2,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,3,7,2,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,3,7,5,2,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,3,7,5,6,2] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,4,3,7,6,2,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,3,7,6,5,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,5,2,3,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,4,5,2,3,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,4,5,2,6,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,5,2,6,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,5,2,7,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,5,2,7,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,5,3,2,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,5,3,2,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,5,3,6,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,5,3,6,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,5,3,7,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,5,3,7,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,5,6,2,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,5,6,2,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,5,6,3,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,5,6,3,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,5,6,7,2,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,4,5,6,7,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,5,7,2,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,5,7,2,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,5,7,3,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,5,7,3,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,5,7,6,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,5,7,6,3,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,4,6,2,3,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,6,2,3,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,6,2,5,3,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,4,6,2,5,7,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,6,2,7,3,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,4,6,2,7,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,6,3,2,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,6,3,2,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,6,3,5,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,6,3,5,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,6,3,7,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,6,3,7,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,6,5,2,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,6,5,2,7,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,4,6,5,3,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,6,5,3,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,6,5,7,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,6,5,7,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,6,7,2,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,6,7,2,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,6,7,3,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,6,7,3,5,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,4,6,7,5,2,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,6,7,5,3,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,7,2,3,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,7,2,3,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,7,2,5,3,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,7,2,5,6,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,4,7,2,6,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,7,2,6,5,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,4,7,3,2,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,7,3,2,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,7,3,5,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,7,3,5,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,4,7,3,6,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,7,3,6,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,7,5,2,3,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,4,7,5,2,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,7,5,3,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,7,5,3,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,4,7,5,6,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,7,5,6,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,7,6,2,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,7,6,2,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,4,7,6,3,2,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,4,7,6,3,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,4,7,6,5,2,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,4,7,6,5,3,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,2,3,4,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,2,3,4,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,2,3,6,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,2,3,6,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,2,3,7,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,2,3,7,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,5,2,4,3,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,2,4,6,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,2,4,6,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,2,4,7,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,2,4,7,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,2,6,3,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,2,6,3,7,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,5,2,6,4,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,2,6,4,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,2,6,7,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,2,6,7,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,2,7,3,4,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,5,2,7,3,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,2,7,4,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,2,7,4,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,2,7,6,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,2,7,6,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,3,2,4,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,5,3,2,4,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,3,2,6,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,3,2,6,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,3,2,7,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,3,2,7,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,3,4,2,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,5,3,4,2,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,5,3,4,6,2,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,5,3,4,6,7,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,3,4,7,2,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,3,4,7,6,2] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,5,3,6,2,4,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,5,3,6,2,7,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,3,6,4,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,3,6,4,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,3,6,7,2,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,3,6,7,4,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,3,7,2,4,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,3,7,2,6,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,5,3,7,4,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,3,7,4,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,3,7,6,2,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,3,7,6,4,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,4,2,3,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,4,2,3,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,4,2,6,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,4,2,6,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,4,2,7,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,4,2,7,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,4,3,2,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,5,4,3,2,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,5,4,3,6,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,4,3,6,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,4,3,7,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,4,3,7,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,4,6,2,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,4,6,2,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,4,6,3,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,4,6,3,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,4,6,7,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,4,6,7,3,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,5,4,7,2,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,4,7,2,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,4,7,3,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,4,7,3,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,4,7,6,2,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,5,4,7,6,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,6,2,3,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,6,2,3,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,6,2,4,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,6,2,4,7,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,5,6,2,7,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,6,2,7,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,6,3,2,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,6,3,2,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,6,3,4,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,6,3,4,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,6,3,7,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,6,3,7,4,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,5,6,4,2,3,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,5,6,4,2,7,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,6,4,3,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,6,4,3,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,6,4,7,2,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,6,4,7,3,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,6,7,2,3,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,5,6,7,2,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,6,7,3,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,6,7,3,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,6,7,4,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,6,7,4,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,7,2,3,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,7,2,3,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,7,2,4,3,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,5,7,2,4,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,7,2,6,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,7,2,6,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,7,3,2,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,7,3,2,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,7,3,4,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,7,3,4,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,7,3,6,2,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,5,7,3,6,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,7,4,2,3,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,7,4,2,6,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,5,7,4,3,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,7,4,3,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,5,7,4,6,2,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,5,7,4,6,3,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,5,7,6,2,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,7,6,2,4,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,5,7,6,3,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,5,7,6,3,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,7,6,4,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,5,7,6,4,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,2,3,4,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,2,3,4,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,2,3,5,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,2,3,5,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,2,3,7,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,2,3,7,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,2,4,3,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,2,4,3,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,6,2,4,5,7,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,2,4,7,3,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,2,4,7,5,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,2,5,3,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,2,5,3,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,2,5,4,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,2,5,4,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,2,5,7,3,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,6,2,5,7,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,2,7,3,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,2,7,3,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,2,7,4,3,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,6,2,7,4,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,2,7,5,3,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,2,7,5,4,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,3,2,4,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,3,2,4,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,3,2,5,4,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,6,3,2,5,7,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,3,2,7,4,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,3,2,7,5,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,3,4,2,5,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,6,3,4,2,7,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,3,4,5,2,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,6,3,4,5,7,2] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,6,3,4,7,2,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,6,3,4,7,5,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,3,5,2,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,3,5,2,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,3,5,4,2,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,6,3,5,4,7,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,3,5,7,2,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,3,5,7,4,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,3,7,2,4,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,3,7,2,5,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,3,7,4,2,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,3,7,4,5,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,3,7,5,2,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,6,3,7,5,4,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,4,2,3,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,4,2,3,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,4,2,5,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,4,2,5,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,4,2,7,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,4,2,7,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,4,3,2,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,4,3,2,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,4,3,5,2,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,6,4,3,5,7,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,4,3,7,2,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,6,4,3,7,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,4,5,2,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,4,5,2,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,4,5,3,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,4,5,3,7,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,6,4,5,7,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,4,5,7,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,4,7,2,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,4,7,2,5,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,6,4,7,3,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,4,7,3,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,4,7,5,2,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,4,7,5,3,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,5,2,3,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,5,2,3,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,5,2,4,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,5,2,4,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,5,2,7,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,5,2,7,4,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,6,5,3,2,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,5,3,2,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,5,3,4,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,5,3,4,7,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,6,5,3,7,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,5,3,7,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,5,4,2,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,5,4,2,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,5,4,3,2,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,6,5,4,3,7,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,5,4,7,2,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,5,4,7,3,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,5,7,2,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,5,7,2,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,5,7,3,2,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,6,5,7,3,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,5,7,4,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,5,7,4,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,7,2,3,4,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,6,7,2,3,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,7,2,4,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,7,2,4,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,7,2,5,3,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,7,2,5,4,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,7,3,2,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,7,3,2,5,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,6,7,3,4,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,7,3,4,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,7,3,5,2,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,7,3,5,4,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,7,4,2,3,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,7,4,2,5,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,7,4,3,2,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,6,7,4,3,5,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,6,7,4,5,2,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,6,7,4,5,3,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,6,7,5,2,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,7,5,2,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,7,5,3,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,6,7,5,3,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,6,7,5,4,2,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,6,7,5,4,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,2,3,4,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,2,3,4,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,2,3,5,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,2,3,5,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,2,3,6,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,2,3,6,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,2,4,3,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,2,4,3,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,2,4,5,3,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,2,4,5,6,3] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,7,2,4,6,3,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,2,4,6,5,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,2,5,3,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,2,5,3,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,2,5,4,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,2,5,4,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,2,5,6,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,2,5,6,4,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,7,2,6,3,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,2,6,3,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,2,6,4,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,2,6,4,5,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,7,2,6,5,3,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,2,6,5,4,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,3,2,4,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,3,2,4,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,3,2,5,4,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,3,2,5,6,4] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,7,3,2,6,4,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,3,2,6,5,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,3,4,2,5,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,3,4,2,6,5] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,7,3,4,5,2,6] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[1,7,3,4,5,6,2] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[1,7,3,4,6,2,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,3,4,6,5,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,7,3,5,2,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,3,5,2,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,3,5,4,2,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,3,5,4,6,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,7,3,5,6,2,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,3,5,6,4,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,3,6,2,4,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,3,6,2,5,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,3,6,4,2,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,3,6,4,5,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,3,6,5,2,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,3,6,5,4,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,7,4,2,3,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,4,2,3,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,4,2,5,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,4,2,5,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,4,2,6,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,4,2,6,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,4,3,2,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,4,3,2,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,4,3,5,2,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,4,3,5,6,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,7,4,3,6,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,4,3,6,5,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,7,4,5,2,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,4,5,2,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,4,5,3,2,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,7,4,5,3,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,4,5,6,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,4,5,6,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,4,6,2,3,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,7,4,6,2,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,4,6,3,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,4,6,3,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,4,6,5,2,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,4,6,5,3,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,5,2,3,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,5,2,3,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,5,2,4,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,5,2,4,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,5,2,6,3,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,7,5,2,6,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,5,3,2,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,5,3,2,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,5,3,4,2,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,7,5,3,4,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,5,3,6,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,5,3,6,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,5,4,2,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,5,4,2,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,5,4,3,2,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,5,4,3,6,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,7,5,4,6,2,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,5,4,6,3,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,5,6,2,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,5,6,2,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,5,6,3,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,5,6,3,4,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[1,7,5,6,4,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,5,6,4,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,6,2,3,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,6,2,3,5,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,7,6,2,4,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,6,2,4,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,6,2,5,3,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,6,2,5,4,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,6,3,2,4,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[1,7,6,3,2,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,6,3,4,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,6,3,4,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,6,3,5,2,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,6,3,5,4,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,6,4,2,3,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,6,4,2,5,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,6,4,3,2,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[1,7,6,4,3,5,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[1,7,6,4,5,2,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[1,7,6,4,5,3,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[1,7,6,5,2,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,6,5,2,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,6,5,3,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[1,7,6,5,3,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,6,5,4,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[1,7,6,5,4,3,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,3,4,5,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[2,1,3,4,5,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,3,4,6,5,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,3,4,6,7,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,3,4,7,5,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,3,4,7,6,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,3,5,4,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,3,5,4,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,3,5,6,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,3,5,6,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,3,5,7,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,3,5,7,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,3,6,4,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,3,6,4,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,3,6,5,4,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,3,6,5,7,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,3,6,7,4,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,3,6,7,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,3,7,4,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,3,7,4,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,3,7,5,4,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,3,7,5,6,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,3,7,6,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,3,7,6,5,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,4,3,5,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,4,3,5,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,4,3,6,5,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,4,3,6,7,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,4,3,7,5,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,4,3,7,6,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,4,5,3,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,4,5,3,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,4,5,6,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,4,5,6,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,4,5,7,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,4,5,7,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,4,6,3,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,4,6,3,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,4,6,5,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,4,6,5,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,4,6,7,3,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,4,6,7,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,4,7,3,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,4,7,3,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,4,7,5,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,4,7,5,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,4,7,6,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,4,7,6,5,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,5,3,4,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,5,3,4,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,5,3,6,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,5,3,6,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,5,3,7,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,5,3,7,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,5,4,3,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,5,4,3,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,5,4,6,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,5,4,6,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,5,4,7,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,5,4,7,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,5,6,3,4,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,5,6,3,7,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,5,6,4,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,5,6,4,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,5,6,7,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,5,6,7,4,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,5,7,3,4,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,5,7,3,6,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,5,7,4,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,5,7,4,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,5,7,6,3,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,5,7,6,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,6,3,4,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,6,3,4,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,6,3,5,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,6,3,5,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,6,3,7,4,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,6,3,7,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,6,4,3,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,6,4,3,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,6,4,5,3,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,6,4,5,7,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,6,4,7,3,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,6,4,7,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,6,5,3,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,6,5,3,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,6,5,4,3,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,6,5,4,7,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,6,5,7,3,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,6,5,7,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,6,7,3,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,6,7,3,5,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,6,7,4,3,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,6,7,4,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,6,7,5,3,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,6,7,5,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,7,3,4,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,7,3,4,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,7,3,5,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,7,3,5,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,7,3,6,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,7,3,6,5,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,7,4,3,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,7,4,3,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,7,4,5,3,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,1,7,4,5,6,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[2,1,7,4,6,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,7,4,6,5,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,7,5,3,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,7,5,3,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,7,5,4,3,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,7,5,4,6,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,1,7,5,6,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,7,5,6,4,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,7,6,3,4,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,7,6,3,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,7,6,4,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,1,7,6,4,5,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,1,7,6,5,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,1,7,6,5,4,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[2,3,1,4,5,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[2,3,1,4,5,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,3,1,4,6,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,3,1,4,6,7,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,3,1,4,7,5,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,3,1,4,7,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,3,1,5,4,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,3,1,5,4,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,3,1,5,6,4,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,3,1,5,6,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,1,5,7,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,1,5,7,6,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,3,1,6,4,5,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,3,1,6,4,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,1,6,5,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,3,1,6,5,7,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,3,1,6,7,4,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,3,1,6,7,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,1,7,4,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,1,7,4,6,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,3,1,7,5,4,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,3,1,7,5,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,3,1,7,6,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,1,7,6,5,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,3,4,1,5,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,3,4,1,5,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,4,1,6,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,4,1,6,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,4,1,7,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,4,1,7,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,4,5,1,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,4,5,1,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,4,5,6,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,4,5,6,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,4,5,7,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,4,5,7,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,4,6,1,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,4,6,1,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,4,6,5,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,4,6,5,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,4,6,7,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,4,6,7,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,4,7,1,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,4,7,1,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,4,7,5,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,4,7,5,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,4,7,6,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,4,7,6,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,5,1,4,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,5,1,4,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,5,1,6,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,5,1,6,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,5,1,7,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,5,1,7,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,5,4,1,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,3,5,4,1,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,5,4,6,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,5,4,6,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,5,4,7,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,5,4,7,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,5,6,1,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,5,6,1,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,5,6,4,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,5,6,4,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,5,6,7,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,5,6,7,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,5,7,1,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,5,7,1,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,5,7,4,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,5,7,4,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,5,7,6,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,5,7,6,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,6,1,4,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,6,1,4,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,6,1,5,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,6,1,5,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,6,1,7,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,6,1,7,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,6,4,1,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,6,4,1,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,6,4,5,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,3,6,4,5,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,6,4,7,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,6,4,7,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,6,5,1,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,6,5,1,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,6,5,4,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,6,5,4,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,6,5,7,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,6,5,7,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,6,7,1,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,6,7,1,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,6,7,4,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,6,7,4,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,6,7,5,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,6,7,5,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,7,1,4,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,7,1,4,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,7,1,5,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,7,1,5,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,7,1,6,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,7,1,6,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,7,4,1,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,7,4,1,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,7,4,5,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,3,7,4,5,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,3,7,4,6,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,7,4,6,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,7,5,1,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,7,5,1,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,7,5,4,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,7,5,4,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,3,7,5,6,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,7,5,6,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,7,6,1,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,3,7,6,1,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,7,6,4,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,3,7,6,4,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,3,7,6,5,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,3,7,6,5,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,1,3,5,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,4,1,3,5,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,1,3,6,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,1,3,6,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,1,3,7,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,1,3,7,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,1,5,3,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,1,5,3,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,1,5,6,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,1,5,6,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,1,5,7,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,1,5,7,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,1,6,3,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,1,6,3,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,1,6,5,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,1,6,5,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,1,6,7,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,1,6,7,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,1,7,3,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,1,7,3,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,1,7,5,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,1,7,5,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,1,7,6,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,1,7,6,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,3,1,5,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[2,4,3,1,5,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,4,3,1,6,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,4,3,1,6,7,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,4,3,1,7,5,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,4,3,1,7,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,4,3,5,1,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,4,3,5,1,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,3,5,6,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,3,5,6,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,3,5,7,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,3,5,7,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,3,6,1,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,3,6,1,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,3,6,5,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,4,3,6,5,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,3,6,7,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,3,6,7,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,3,7,1,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,3,7,1,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,3,7,5,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,3,7,5,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,4,3,7,6,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,3,7,6,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,5,1,3,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,4,5,1,3,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,4,5,1,6,3,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,4,5,1,6,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,5,1,7,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,5,1,7,6,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,4,5,3,1,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,5,3,1,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,5,3,6,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,5,3,6,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,5,3,7,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,5,3,7,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,5,6,1,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,5,6,1,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,5,6,3,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,5,6,3,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,5,6,7,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,5,6,7,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,5,7,1,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,5,7,1,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,5,7,3,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,5,7,3,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,5,7,6,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,5,7,6,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,6,1,3,5,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,4,6,1,3,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,6,1,5,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,4,6,1,5,7,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,4,6,1,7,3,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,4,6,1,7,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,6,3,1,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,6,3,1,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,6,3,5,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,6,3,5,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,6,3,7,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,6,3,7,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,6,5,1,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,6,5,1,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,6,5,3,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,6,5,3,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,6,5,7,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,6,5,7,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,6,7,1,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,6,7,1,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,6,7,3,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,6,7,3,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,6,7,5,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,6,7,5,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,7,1,3,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,7,1,3,6,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,4,7,1,5,3,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,4,7,1,5,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,4,7,1,6,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,7,1,6,5,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,4,7,3,1,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,7,3,1,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,7,3,5,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,7,3,5,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,4,7,3,6,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,7,3,6,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,7,5,1,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,7,5,1,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,7,5,3,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,7,5,3,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,4,7,5,6,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,7,5,6,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,7,6,1,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,7,6,1,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,4,7,6,3,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,4,7,6,3,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,4,7,6,5,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,4,7,6,5,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,1,3,4,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,1,3,4,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,1,3,6,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,1,3,6,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,1,3,7,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,1,3,7,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,1,4,3,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,5,1,4,3,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,1,4,6,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,1,4,6,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,1,4,7,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,1,4,7,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,1,6,3,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,1,6,3,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,1,6,4,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,1,6,4,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,1,6,7,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,1,6,7,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,1,7,3,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,1,7,3,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,1,7,4,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,1,7,4,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,1,7,6,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,1,7,6,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,3,1,4,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,5,3,1,4,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,3,1,6,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,3,1,6,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,3,1,7,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,3,1,7,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,3,4,1,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[2,5,3,4,1,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,5,3,4,6,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,5,3,4,6,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,3,4,7,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,3,4,7,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,5,3,6,1,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,5,3,6,1,7,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,5,3,6,4,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,3,6,4,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,3,6,7,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,3,6,7,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,3,7,1,4,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,5,3,7,1,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,5,3,7,4,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,3,7,4,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,3,7,6,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,3,7,6,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,4,1,3,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,4,1,3,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,4,1,6,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,4,1,6,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,4,1,7,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,4,1,7,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,4,3,1,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,5,4,3,1,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,5,4,3,6,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,4,3,6,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,4,3,7,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,4,3,7,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,4,6,1,3,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,5,4,6,1,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,4,6,3,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,4,6,3,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,4,6,7,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,4,6,7,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,4,7,1,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,4,7,1,6,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,5,4,7,3,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,4,7,3,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,4,7,6,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,4,7,6,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,6,1,3,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,6,1,3,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,6,1,4,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,6,1,4,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,6,1,7,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,6,1,7,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,6,3,1,4,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,5,6,3,1,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,6,3,4,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,6,3,4,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,6,3,7,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,6,3,7,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,6,4,1,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,5,6,4,1,7,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,5,6,4,3,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,6,4,3,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,6,4,7,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,6,4,7,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,6,7,1,3,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,5,6,7,1,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,6,7,3,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,6,7,3,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,6,7,4,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,6,7,4,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,7,1,3,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,7,1,3,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,7,1,4,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,7,1,4,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,7,1,6,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,7,1,6,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,7,3,1,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,7,3,1,6,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,5,7,3,4,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,7,3,4,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,7,3,6,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,7,3,6,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,7,4,1,3,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,5,7,4,1,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,5,7,4,3,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,7,4,3,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,5,7,4,6,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,5,7,4,6,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,5,7,6,1,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,5,7,6,1,4,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,5,7,6,3,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,5,7,6,3,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,7,6,4,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,5,7,6,4,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,1,3,4,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,1,3,4,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,1,3,5,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,1,3,5,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,1,3,7,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,1,3,7,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,1,4,3,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,1,4,3,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,1,4,5,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,6,1,4,5,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,1,4,7,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,1,4,7,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,1,5,3,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,1,5,3,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,1,5,4,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,1,5,4,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,1,5,7,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,1,5,7,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,1,7,3,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,1,7,3,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,1,7,4,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,1,7,4,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,1,7,5,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,1,7,5,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,3,1,4,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,3,1,4,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,3,1,5,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,6,3,1,5,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,3,1,7,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,3,1,7,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,3,4,1,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,6,3,4,1,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,3,4,5,1,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[2,6,3,4,5,7,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,6,3,4,7,1,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,6,3,4,7,5,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,3,5,1,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,3,5,1,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,3,5,4,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,6,3,5,4,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,3,5,7,1,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,6,3,5,7,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,3,7,1,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,3,7,1,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,3,7,4,1,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,6,3,7,4,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,3,7,5,1,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,6,3,7,5,4,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,4,1,3,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,4,1,3,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,4,1,5,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,4,1,5,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,4,1,7,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,4,1,7,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,4,3,1,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,4,3,1,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,4,3,5,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,6,4,3,5,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,4,3,7,1,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,6,4,3,7,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,4,5,1,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,4,5,1,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,4,5,3,1,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,6,4,5,3,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,4,5,7,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,4,5,7,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,4,7,1,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,4,7,1,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,4,7,3,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,4,7,3,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,4,7,5,1,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,6,4,7,5,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,5,1,3,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,5,1,3,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,5,1,4,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,5,1,4,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,5,1,7,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,5,1,7,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,5,3,1,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,5,3,1,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,5,3,4,1,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,6,5,3,4,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,5,3,7,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,5,3,7,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,5,4,1,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,5,4,1,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,5,4,3,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,6,5,4,3,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,5,4,7,1,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,6,5,4,7,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,5,7,1,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,5,7,1,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,5,7,3,1,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,6,5,7,3,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,5,7,4,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,5,7,4,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,7,1,3,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,7,1,3,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,7,1,4,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,7,1,4,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,7,1,5,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,7,1,5,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,7,3,1,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,7,3,1,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,7,3,4,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,7,3,4,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,7,3,5,1,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,6,7,3,5,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,7,4,1,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,7,4,1,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,6,7,4,3,1,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,6,7,4,3,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,6,7,4,5,1,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,6,7,4,5,3,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,6,7,5,1,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,7,5,1,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,6,7,5,3,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,6,7,5,3,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,6,7,5,4,1,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,6,7,5,4,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,1,3,4,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,1,3,4,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,1,3,5,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,1,3,5,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,1,3,6,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,1,3,6,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,1,4,3,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,1,4,3,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,1,4,5,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,1,4,5,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,7,1,4,6,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,1,4,6,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,1,5,3,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,1,5,3,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,1,5,4,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,1,5,4,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,1,5,6,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,1,5,6,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,1,6,3,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,1,6,3,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,1,6,4,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,1,6,4,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,1,6,5,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,1,6,5,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,3,1,4,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,3,1,4,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,3,1,5,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,3,1,5,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,7,3,1,6,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,3,1,6,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,3,4,1,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,3,4,1,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,7,3,4,5,1,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[2,7,3,4,5,6,1] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[2,7,3,4,6,1,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,3,4,6,5,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,7,3,5,1,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,3,5,1,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,3,5,4,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,3,5,4,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,7,3,5,6,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,3,5,6,4,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,7,3,6,1,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,3,6,1,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,3,6,4,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,3,6,4,5,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,7,3,6,5,1,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,3,6,5,4,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,7,4,1,3,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,4,1,3,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,4,1,5,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,4,1,5,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,4,1,6,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,4,1,6,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,4,3,1,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,4,3,1,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,4,3,5,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,4,3,5,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,7,4,3,6,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,4,3,6,5,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,7,4,5,1,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,4,5,1,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,4,5,3,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,4,5,3,6,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,7,4,5,6,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,4,5,6,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,4,6,1,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,4,6,1,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,4,6,3,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,4,6,3,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,4,6,5,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,4,6,5,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,7,5,1,3,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,5,1,3,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,5,1,4,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,5,1,4,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,5,1,6,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,5,1,6,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,5,3,1,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,5,3,1,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,5,3,4,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,5,3,4,6,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,7,5,3,6,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,5,3,6,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,5,4,1,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,5,4,1,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,5,4,3,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,5,4,3,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,7,5,4,6,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,5,4,6,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,7,5,6,1,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,5,6,1,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,5,6,3,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,5,6,3,4,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[2,7,5,6,4,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,5,6,4,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,6,1,3,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,6,1,3,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,6,1,4,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,6,1,4,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,6,1,5,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,6,1,5,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,6,3,1,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,6,3,1,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,6,3,4,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,6,3,4,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,6,3,5,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,6,3,5,4,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,7,6,4,1,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[2,7,6,4,1,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,6,4,3,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[2,7,6,4,3,5,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[2,7,6,4,5,1,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[2,7,6,4,5,3,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[2,7,6,5,1,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,6,5,1,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,6,5,3,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[2,7,6,5,3,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[2,7,6,5,4,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[2,7,6,5,4,3,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,1,2,4,5,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[3,1,2,4,5,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,1,2,4,6,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,1,2,4,6,7,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,1,2,4,7,5,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,1,2,4,7,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,1,2,5,4,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,1,2,5,4,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,1,2,5,6,4,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,1,2,5,6,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,2,5,7,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,2,5,7,6,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,1,2,6,4,5,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,1,2,6,4,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,2,6,5,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,1,2,6,5,7,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,1,2,6,7,4,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,1,2,6,7,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,2,7,4,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,2,7,4,6,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,1,2,7,5,4,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,1,2,7,5,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,1,2,7,6,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,2,7,6,5,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,1,4,2,5,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,1,4,2,5,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,4,2,6,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,4,2,6,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,4,2,7,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,4,2,7,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,4,5,2,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,4,5,2,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,4,5,6,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,4,5,6,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,4,5,7,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,4,5,7,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,4,6,2,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,4,6,2,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,4,6,5,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,4,6,5,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,4,6,7,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,4,6,7,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,4,7,2,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,4,7,2,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,4,7,5,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,4,7,5,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,4,7,6,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,4,7,6,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,5,2,4,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,5,2,4,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,5,2,6,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,5,2,6,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,5,2,7,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,5,2,7,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,5,4,2,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,1,5,4,2,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,5,4,6,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,5,4,6,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,5,4,7,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,5,4,7,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,5,6,2,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,5,6,2,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,5,6,4,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,5,6,4,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,5,6,7,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,5,6,7,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,5,7,2,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,5,7,2,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,5,7,4,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,5,7,4,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,5,7,6,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,5,7,6,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,6,2,4,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,6,2,4,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,6,2,5,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,6,2,5,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,6,2,7,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,6,2,7,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,6,4,2,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,6,4,2,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,6,4,5,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,1,6,4,5,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,6,4,7,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,6,4,7,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,6,5,2,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,6,5,2,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,6,5,4,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,6,5,4,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,6,5,7,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,6,5,7,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,6,7,2,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,6,7,2,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,6,7,4,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,6,7,4,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,6,7,5,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,6,7,5,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,7,2,4,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,7,2,4,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,7,2,5,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,7,2,5,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,7,2,6,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,7,2,6,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,7,4,2,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,7,4,2,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,7,4,5,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,1,7,4,5,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,1,7,4,6,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,7,4,6,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,7,5,2,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,7,5,2,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,7,5,4,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,7,5,4,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,1,7,5,6,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,7,5,6,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,7,6,2,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,1,7,6,2,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,7,6,4,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,1,7,6,4,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,1,7,6,5,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,1,7,6,5,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,1,4,5,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[3,2,1,4,5,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,2,1,4,6,5,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,2,1,4,6,7,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,1,4,7,5,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,1,4,7,6,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,2,1,5,4,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,2,1,5,4,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,2,1,5,6,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,1,5,6,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,1,5,7,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,1,5,7,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,1,6,4,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,1,6,4,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,1,6,5,4,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,2,1,6,5,7,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,1,6,7,4,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,2,1,6,7,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,1,7,4,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,1,7,4,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,1,7,5,4,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,1,7,5,6,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,2,1,7,6,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,1,7,6,5,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,2,4,1,5,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[3,2,4,1,5,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,4,1,6,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,4,1,6,7,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,2,4,1,7,5,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,2,4,1,7,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,4,5,1,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,4,5,1,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,4,5,6,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,4,5,6,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,4,5,7,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,4,5,7,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,4,6,1,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,4,6,1,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,4,6,5,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,4,6,5,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,4,6,7,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,4,6,7,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,4,7,1,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,4,7,1,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,4,7,5,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,4,7,5,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,4,7,6,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,4,7,6,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,5,1,4,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,5,1,4,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,5,1,6,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,5,1,6,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,5,1,7,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,5,1,7,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,5,4,1,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[3,2,5,4,1,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,5,4,6,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,5,4,6,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,5,4,7,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,5,4,7,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,5,6,1,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,5,6,1,7,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,2,5,6,4,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,5,6,4,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,5,6,7,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,5,6,7,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,5,7,1,4,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,2,5,7,1,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,5,7,4,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,5,7,4,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,5,7,6,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,5,7,6,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,6,1,4,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,6,1,4,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,6,1,5,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,6,1,5,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,6,1,7,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,6,1,7,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,6,4,1,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,6,4,1,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,6,4,5,1,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[3,2,6,4,5,7,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,6,4,7,1,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,6,4,7,5,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,6,5,1,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,6,5,1,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,6,5,4,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,6,5,4,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,6,5,7,1,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,2,6,5,7,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,6,7,1,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,6,7,1,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,6,7,4,1,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,2,6,7,4,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,6,7,5,1,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,6,7,5,4,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,7,1,4,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,7,1,4,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,7,1,5,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,7,1,5,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,7,1,6,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,7,1,6,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,7,4,1,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,7,4,1,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,7,4,5,1,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,2,7,4,5,6,1] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[3,2,7,4,6,1,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,7,4,6,5,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,7,5,1,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,7,5,1,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,7,5,4,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,7,5,4,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,2,7,5,6,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,7,5,6,4,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,2,7,6,1,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,2,7,6,1,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,7,6,4,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,2,7,6,4,5,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,2,7,6,5,1,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,2,7,6,5,4,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,4,1,2,5,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,4,1,2,5,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,4,1,2,6,5,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,4,1,2,6,7,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,4,1,2,7,5,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,4,1,2,7,6,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,4,1,5,2,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,4,1,5,2,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,4,1,5,6,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,1,5,6,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,1,5,7,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,1,5,7,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,1,6,2,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,1,6,2,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,1,6,5,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,4,1,6,5,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,1,6,7,2,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,4,1,6,7,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,1,7,2,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,1,7,2,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,1,7,5,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,1,7,5,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,4,1,7,6,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,1,7,6,5,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,4,2,1,5,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,4,2,1,5,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,2,1,6,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,2,1,6,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,2,1,7,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,2,1,7,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,2,5,1,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,4,2,5,1,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,2,5,6,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,2,5,6,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,2,5,7,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,2,5,7,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,2,6,1,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,2,6,1,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,2,6,5,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,4,2,6,5,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,2,6,7,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,2,6,7,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,2,7,1,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,2,7,1,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,2,7,5,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,2,7,5,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,4,2,7,6,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,2,7,6,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,5,1,2,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,4,5,1,2,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,5,1,6,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,5,1,6,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,5,1,7,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,5,1,7,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,5,2,1,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,4,5,2,1,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,4,5,2,6,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,5,2,6,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,5,2,7,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,5,2,7,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,5,6,1,2,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,4,5,6,1,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,5,6,2,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,5,6,2,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,5,6,7,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,5,6,7,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,5,7,1,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,5,7,1,6,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,4,5,7,2,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,5,7,2,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,5,7,6,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,5,7,6,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,6,1,2,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,6,1,2,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,6,1,5,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,4,6,1,5,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,6,1,7,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,6,1,7,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,6,2,1,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,6,2,1,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,6,2,5,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,4,6,2,5,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,6,2,7,1,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,4,6,2,7,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,6,5,1,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,6,5,1,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,6,5,2,1,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,4,6,5,2,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,6,5,7,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,6,5,7,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,6,7,1,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,6,7,1,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,6,7,2,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,6,7,2,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,6,7,5,1,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,4,6,7,5,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,7,1,2,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,7,1,2,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,7,1,5,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,7,1,5,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,4,7,1,6,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,7,1,6,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,7,2,1,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,7,2,1,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,7,2,5,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,4,7,2,5,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,4,7,2,6,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,4,7,2,6,5,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,4,7,5,1,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,7,5,1,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,7,5,2,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,7,5,2,6,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,4,7,5,6,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,7,5,6,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,7,6,1,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,7,6,1,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,7,6,2,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,4,7,6,2,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,4,7,6,5,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,4,7,6,5,2,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,5,1,2,4,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,5,1,2,4,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,5,1,2,6,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,1,2,6,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,1,2,7,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,1,2,7,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,1,4,2,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,5,1,4,2,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,5,1,4,6,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,5,1,4,6,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,1,4,7,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,1,4,7,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,5,1,6,2,4,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,5,1,6,2,7,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,5,1,6,4,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,1,6,4,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,1,6,7,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,1,6,7,4,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,5,1,7,2,4,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,5,1,7,2,6,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,5,1,7,4,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,1,7,4,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,1,7,6,2,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,5,1,7,6,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,2,1,4,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,5,2,1,4,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,2,1,6,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,2,1,6,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,2,1,7,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,2,1,7,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,2,4,1,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,5,2,4,1,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,2,4,6,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,5,2,4,6,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,2,4,7,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,2,4,7,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,5,2,6,1,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,2,6,1,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,2,6,4,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,2,6,4,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,2,6,7,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,2,6,7,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,2,7,1,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,2,7,1,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,2,7,4,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,2,7,4,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,2,7,6,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,2,7,6,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,4,1,2,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,5,4,1,2,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,5,4,1,6,2,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,5,4,1,6,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,4,1,7,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,4,1,7,6,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,5,4,2,1,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,5,4,2,1,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,4,2,6,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,4,2,6,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,4,2,7,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,4,2,7,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,4,6,1,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,4,6,1,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,4,6,2,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,4,6,2,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,4,6,7,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,4,6,7,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,4,7,1,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,4,7,1,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,4,7,2,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,4,7,2,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,4,7,6,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,4,7,6,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,6,1,2,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,6,1,2,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,6,1,4,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,6,1,4,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,6,1,7,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,6,1,7,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,6,2,1,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,6,2,1,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,6,2,4,1,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,5,6,2,4,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,6,2,7,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,6,2,7,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,6,4,1,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,5,6,4,1,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,6,4,2,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,5,6,4,2,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,6,4,7,1,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,5,6,4,7,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,6,7,1,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,6,7,1,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,6,7,2,1,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,5,6,7,2,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,6,7,4,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,6,7,4,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,7,1,2,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,7,1,2,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,7,1,4,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,7,1,4,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,7,1,6,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,7,1,6,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,7,2,1,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,7,2,1,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,7,2,4,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,7,2,4,6,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,5,7,2,6,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,7,2,6,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,5,7,4,1,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,7,4,1,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,5,7,4,2,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,5,7,4,2,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,5,7,4,6,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,5,7,4,6,2,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,5,7,6,1,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,7,6,1,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,7,6,2,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,5,7,6,2,4,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,5,7,6,4,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,5,7,6,4,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,1,2,4,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,1,2,4,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,1,2,5,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,6,1,2,5,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,1,2,7,4,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,6,1,2,7,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,1,4,2,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,6,1,4,2,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,1,4,5,2,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,6,1,4,5,7,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,6,1,4,7,2,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,6,1,4,7,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,1,5,2,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,1,5,2,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,1,5,4,2,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,6,1,5,4,7,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,6,1,5,7,2,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,6,1,5,7,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,1,7,2,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,1,7,2,5,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,6,1,7,4,2,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,6,1,7,4,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,1,7,5,2,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,6,1,7,5,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,2,1,4,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,2,1,4,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,2,1,5,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,6,2,1,5,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,2,1,7,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,2,1,7,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,2,4,1,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,6,2,4,1,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,2,4,5,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,6,2,4,5,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,6,2,4,7,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,2,4,7,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,2,5,1,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,2,5,1,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,2,5,4,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,2,5,4,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,2,5,7,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,2,5,7,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,2,7,1,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,2,7,1,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,2,7,4,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,2,7,4,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,2,7,5,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,2,7,5,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,4,1,2,5,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,6,4,1,2,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,4,1,5,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,6,4,1,5,7,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,6,4,1,7,2,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,6,4,1,7,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,4,2,1,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,4,2,1,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,4,2,5,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,6,4,2,5,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,4,2,7,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,4,2,7,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,4,5,1,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,4,5,1,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,4,5,2,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,4,5,2,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,4,5,7,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,4,5,7,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,4,7,1,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,4,7,1,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,4,7,2,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,4,7,2,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,4,7,5,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,4,7,5,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,5,1,2,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,5,1,2,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,5,1,4,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,5,1,4,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,5,1,7,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,5,1,7,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,5,2,1,4,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,6,5,2,1,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,5,2,4,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,5,2,4,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,5,2,7,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,5,2,7,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,5,4,1,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,6,5,4,1,7,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,6,5,4,2,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,6,5,4,2,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,5,4,7,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,5,4,7,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,5,7,1,2,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,6,5,7,1,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,5,7,2,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,5,7,2,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,5,7,4,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,5,7,4,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,7,1,2,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,7,1,2,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,7,1,4,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,7,1,4,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,7,1,5,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,7,1,5,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,7,2,1,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,7,2,1,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,7,2,4,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,7,2,4,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,7,2,5,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,7,2,5,4,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,6,7,4,1,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,6,7,4,1,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,7,4,2,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,6,7,4,2,5,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,6,7,4,5,1,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,6,7,4,5,2,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,6,7,5,1,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,7,5,1,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,7,5,2,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,6,7,5,2,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,6,7,5,4,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,6,7,5,4,2,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,1,2,4,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,1,2,4,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,1,2,5,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,1,2,5,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,7,1,2,6,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,1,2,6,5,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,1,4,2,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,1,4,2,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,7,1,4,5,2,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,7,1,4,5,6,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[3,7,1,4,6,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,1,4,6,5,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,7,1,5,2,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,1,5,2,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,1,5,4,2,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,1,5,4,6,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,7,1,5,6,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,1,5,6,4,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,1,6,2,4,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,1,6,2,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,1,6,4,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,1,6,4,5,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,1,6,5,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,1,6,5,4,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[3,7,2,1,4,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,2,1,4,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,2,1,5,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,2,1,5,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,7,2,1,6,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,2,1,6,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,2,4,1,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,2,4,1,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,7,2,4,5,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,7,2,4,5,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[3,7,2,4,6,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,2,4,6,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,2,5,1,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,2,5,1,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,2,5,4,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,2,5,4,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,2,5,6,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,2,5,6,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,2,6,1,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,2,6,1,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,2,6,4,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,2,6,4,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,2,6,5,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,2,6,5,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,4,1,2,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,4,1,2,6,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,7,4,1,5,2,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,7,4,1,5,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,7,4,1,6,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,4,1,6,5,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,4,2,1,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,4,2,1,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,4,2,5,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,4,2,5,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,7,4,2,6,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,4,2,6,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,4,5,1,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,4,5,1,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,4,5,2,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,4,5,2,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,4,5,6,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,4,5,6,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,4,6,1,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,4,6,1,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,4,6,2,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,4,6,2,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,4,6,5,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,4,6,5,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,5,1,2,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,5,1,2,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,5,1,4,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,5,1,4,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,5,1,6,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,5,1,6,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,5,2,1,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,5,2,1,6,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,7,5,2,4,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,5,2,4,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,5,2,6,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,5,2,6,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,5,4,1,2,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,7,5,4,1,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,7,5,4,2,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,5,4,2,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,7,5,4,6,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,5,4,6,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,5,6,1,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,5,6,1,4,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,5,6,2,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,5,6,2,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,5,6,4,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,5,6,4,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,6,1,2,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,6,1,2,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,6,1,4,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,6,1,4,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,6,1,5,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,6,1,5,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,6,2,1,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,6,2,1,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,6,2,4,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,6,2,4,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,6,2,5,1,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,7,6,2,5,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,6,4,1,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,6,4,1,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[3,7,6,4,2,1,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[3,7,6,4,2,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[3,7,6,4,5,1,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[3,7,6,4,5,2,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[3,7,6,5,1,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,6,5,1,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[3,7,6,5,2,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[3,7,6,5,2,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[3,7,6,5,4,1,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[3,7,6,5,4,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,2,3,5,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,1,2,3,5,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,2,3,6,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,2,3,6,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,2,3,7,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,2,3,7,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,2,5,3,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,2,5,3,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,2,5,6,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,2,5,6,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,2,5,7,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,2,5,7,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,2,6,3,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,2,6,3,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,2,6,5,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,2,6,5,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,2,6,7,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,2,6,7,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,2,7,3,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,2,7,3,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,2,7,5,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,2,7,5,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,2,7,6,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,2,7,6,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,3,2,5,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[4,1,3,2,5,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,1,3,2,6,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,1,3,2,6,7,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,1,3,2,7,5,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,1,3,2,7,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,1,3,5,2,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,1,3,5,2,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,3,5,6,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,3,5,6,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,3,5,7,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,3,5,7,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,3,6,2,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,3,6,2,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,3,6,5,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,1,3,6,5,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,3,6,7,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,3,6,7,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,3,7,2,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,3,7,2,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,3,7,5,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,3,7,5,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,1,3,7,6,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,3,7,6,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,5,2,3,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,1,5,2,3,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,1,5,2,6,3,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,1,5,2,6,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,5,2,7,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,5,2,7,6,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,1,5,3,2,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,5,3,2,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,5,3,6,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,5,3,6,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,5,3,7,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,5,3,7,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,5,6,2,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,5,6,2,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,5,6,3,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,5,6,3,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,5,6,7,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,5,6,7,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,5,7,2,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,5,7,2,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,5,7,3,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,5,7,3,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,5,7,6,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,5,7,6,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,6,2,3,5,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,1,6,2,3,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,6,2,5,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,1,6,2,5,7,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,1,6,2,7,3,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,1,6,2,7,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,6,3,2,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,6,3,2,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,6,3,5,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,6,3,5,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,6,3,7,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,6,3,7,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,6,5,2,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,6,5,2,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,6,5,3,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,6,5,3,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,6,5,7,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,6,5,7,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,6,7,2,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,6,7,2,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,6,7,3,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,6,7,3,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,6,7,5,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,6,7,5,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,7,2,3,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,7,2,3,6,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,1,7,2,5,3,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,1,7,2,5,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,1,7,2,6,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,7,2,6,5,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,1,7,3,2,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,7,3,2,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,7,3,5,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,7,3,5,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,1,7,3,6,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,7,3,6,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,7,5,2,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,7,5,2,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,7,5,3,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,7,5,3,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,1,7,5,6,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,7,5,6,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,7,6,2,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,7,6,2,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,1,7,6,3,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,1,7,6,3,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,1,7,6,5,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,1,7,6,5,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,1,3,5,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[4,2,1,3,5,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,1,3,6,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,1,3,6,7,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,2,1,3,7,5,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,2,1,3,7,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,1,5,3,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,1,5,3,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,1,5,6,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,1,5,6,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,1,5,7,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,1,5,7,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,1,6,3,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,1,6,3,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,1,6,5,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,1,6,5,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,1,6,7,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,1,6,7,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,1,7,3,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,1,7,3,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,1,7,5,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,1,7,5,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,1,7,6,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,1,7,6,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,3,1,5,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[4,2,3,1,5,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,2,3,1,6,5,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,2,3,1,6,7,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,3,1,7,5,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,3,1,7,6,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,2,3,5,1,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[4,2,3,5,1,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,3,5,6,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,3,5,6,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,3,5,7,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,3,5,7,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,3,6,1,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,3,6,1,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,3,6,5,1,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[4,2,3,6,5,7,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,3,6,7,1,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,3,6,7,5,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,3,7,1,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,3,7,1,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,3,7,5,1,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,3,7,5,6,1] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[4,2,3,7,6,1,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,3,7,6,5,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,5,1,3,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,2,5,1,3,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,2,5,1,6,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,5,1,6,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,5,1,7,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,5,1,7,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,5,3,1,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,5,3,1,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,5,3,6,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,5,3,6,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,5,3,7,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,5,3,7,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,5,6,1,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,5,6,1,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,5,6,3,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,5,6,3,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,5,6,7,1,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,2,5,6,7,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,5,7,1,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,5,7,1,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,5,7,3,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,5,7,3,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,5,7,6,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,5,7,6,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,2,6,1,3,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,6,1,3,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,6,1,5,3,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,2,6,1,5,7,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,6,1,7,3,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,2,6,1,7,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,6,3,1,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,6,3,1,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,6,3,5,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,6,3,5,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,6,3,7,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,6,3,7,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,6,5,1,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,6,5,1,7,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,2,6,5,3,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,6,5,3,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,6,5,7,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,6,5,7,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,6,7,1,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,6,7,1,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,6,7,3,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,6,7,3,5,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,2,6,7,5,1,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,6,7,5,3,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,7,1,3,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,7,1,3,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,7,1,5,3,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,7,1,5,6,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,2,7,1,6,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,7,1,6,5,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,2,7,3,1,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,7,3,1,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,7,3,5,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,7,3,5,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,2,7,3,6,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,7,3,6,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,7,5,1,3,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,2,7,5,1,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,7,5,3,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,7,5,3,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,2,7,5,6,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,7,5,6,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,7,6,1,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,7,6,1,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,2,7,6,3,1,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,2,7,6,3,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,2,7,6,5,1,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,2,7,6,5,3,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,3,1,2,5,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,3,1,2,5,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,1,2,6,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,1,2,6,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,1,2,7,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,1,2,7,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,1,5,2,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,3,1,5,2,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,1,5,6,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,1,5,6,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,1,5,7,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,1,5,7,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,1,6,2,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,1,6,2,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,1,6,5,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,3,1,6,5,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,1,6,7,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,1,6,7,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,1,7,2,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,1,7,2,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,1,7,5,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,1,7,5,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,3,1,7,6,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,1,7,6,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,2,1,5,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,3,2,1,5,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,3,2,1,6,5,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,3,2,1,6,7,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,3,2,1,7,5,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,3,2,1,7,6,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,3,2,5,1,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,3,2,5,1,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,3,2,5,6,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,2,5,6,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,2,5,7,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,2,5,7,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,2,6,1,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,2,6,1,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,2,6,5,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,3,2,6,5,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,2,6,7,1,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,3,2,6,7,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,2,7,1,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,2,7,1,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,2,7,5,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,2,7,5,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,3,2,7,6,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,2,7,6,5,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,3,5,1,2,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,3,5,1,2,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,3,5,1,6,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,5,1,6,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,5,1,7,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,5,1,7,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,5,2,1,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,3,5,2,1,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,5,2,6,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,5,2,6,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,5,2,7,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,5,2,7,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,5,6,1,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,5,6,1,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,5,6,2,1,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,3,5,6,2,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,5,6,7,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,5,6,7,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,5,7,1,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,5,7,1,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,5,7,2,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,5,7,2,6,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,3,5,7,6,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,5,7,6,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,6,1,2,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,6,1,2,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,6,1,5,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,3,6,1,5,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,6,1,7,2,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,3,6,1,7,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,6,2,1,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,6,2,1,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,6,2,5,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,3,6,2,5,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,6,2,7,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,6,2,7,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,6,5,1,2,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,3,6,5,1,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,6,5,2,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,6,5,2,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,6,5,7,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,6,5,7,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,6,7,1,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,6,7,1,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,6,7,2,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,6,7,2,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,6,7,5,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,6,7,5,2,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,3,7,1,2,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,7,1,2,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,7,1,5,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,3,7,1,5,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,3,7,1,6,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,7,1,6,5,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,3,7,2,1,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,7,2,1,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,7,2,5,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,7,2,5,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,3,7,2,6,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,7,2,6,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,3,7,5,1,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,7,5,1,6,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,3,7,5,2,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,7,5,2,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,3,7,5,6,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,7,5,6,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,7,6,1,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,7,6,1,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,7,6,2,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,3,7,6,2,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,3,7,6,5,1,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,3,7,6,5,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,1,2,3,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,5,1,2,3,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,1,2,6,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,1,2,6,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,1,2,7,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,1,2,7,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,1,3,2,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,5,1,3,2,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,5,1,3,6,2,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,5,1,3,6,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,1,3,7,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,1,3,7,6,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,5,1,6,2,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,1,6,2,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,1,6,3,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,1,6,3,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,1,6,7,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,1,6,7,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,1,7,2,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,1,7,2,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,1,7,3,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,1,7,3,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,1,7,6,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,1,7,6,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,2,1,3,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,5,2,1,3,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,5,2,1,6,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,2,1,6,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,2,1,7,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,2,1,7,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,2,3,1,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,5,2,3,1,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,2,3,6,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,2,3,6,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,2,3,7,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,2,3,7,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,2,6,1,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,2,6,1,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,2,6,3,1,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,5,2,6,3,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,2,6,7,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,2,6,7,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,2,7,1,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,2,7,1,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,2,7,3,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,2,7,3,6,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,5,2,7,6,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,2,7,6,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,3,1,2,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,5,3,1,2,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,5,3,1,6,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,5,3,1,6,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,3,1,7,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,3,1,7,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,5,3,2,1,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,5,3,2,1,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,3,2,6,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,5,3,2,6,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,3,2,7,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,3,2,7,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,5,3,6,1,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,5,3,6,1,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,3,6,2,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,5,3,6,2,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,3,6,7,1,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,5,3,6,7,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,3,7,1,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,3,7,1,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,5,3,7,2,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,3,7,2,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,5,3,7,6,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,3,7,6,2,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,5,6,1,2,3,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,5,6,1,2,7,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,5,6,1,3,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,6,1,3,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,6,1,7,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,6,1,7,3,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,5,6,2,1,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,6,2,1,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,6,2,3,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,6,2,3,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,6,2,7,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,6,2,7,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,6,3,1,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,6,3,1,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,6,3,2,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,6,3,2,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,6,3,7,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,6,3,7,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,6,7,1,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,6,7,1,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,6,7,2,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,6,7,2,3,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,5,6,7,3,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,6,7,3,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,7,1,2,3,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,5,7,1,2,6,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,5,7,1,3,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,7,1,3,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,7,1,6,2,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,5,7,1,6,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,7,2,1,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,7,2,1,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,7,2,3,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,7,2,3,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,7,2,6,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,7,2,6,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,7,3,1,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,7,3,1,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,5,7,3,2,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,7,3,2,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,5,7,3,6,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,7,3,6,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,7,6,1,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,7,6,1,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,5,7,6,2,1,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,5,7,6,2,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,5,7,6,3,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,5,7,6,3,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,1,2,3,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,1,2,3,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,1,2,5,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,6,1,2,5,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,1,2,7,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,1,2,7,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,1,3,2,5,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,6,1,3,2,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,1,3,5,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,6,1,3,5,7,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,6,1,3,7,2,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,6,1,3,7,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,1,5,2,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,1,5,2,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,1,5,3,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,1,5,3,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,1,5,7,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,1,5,7,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,1,7,2,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,1,7,2,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,1,7,3,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,1,7,3,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,1,7,5,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,1,7,5,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,2,1,3,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,2,1,3,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,2,1,5,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,6,2,1,5,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,2,1,7,3,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,6,2,1,7,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,2,3,1,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,2,3,1,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,2,3,5,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,6,2,3,5,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,2,3,7,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,2,3,7,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,2,5,1,3,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,6,2,5,1,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,2,5,3,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,2,5,3,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,2,5,7,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,2,5,7,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,2,7,1,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,2,7,1,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,2,7,3,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,2,7,3,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,2,7,5,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,2,7,5,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,6,3,1,2,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,6,3,1,2,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,3,1,5,2,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,6,3,1,5,7,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,6,3,1,7,2,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,6,3,1,7,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,3,2,1,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,6,3,2,1,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,3,2,5,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,6,3,2,5,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,6,3,2,7,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,3,2,7,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,3,5,1,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,6,3,5,1,7,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,6,3,5,2,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,6,3,5,2,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,3,5,7,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,3,5,7,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,3,7,1,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,3,7,1,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,3,7,2,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,3,7,2,5,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,6,3,7,5,1,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,6,3,7,5,2,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,6,5,1,2,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,5,1,2,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,5,1,3,2,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,6,5,1,3,7,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,6,5,1,7,2,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,6,5,1,7,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,5,2,1,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,5,2,1,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,5,2,3,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,5,2,3,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,5,2,7,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,5,2,7,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,5,3,1,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,5,3,1,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,5,3,2,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,5,3,2,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,5,3,7,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,5,3,7,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,5,7,1,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,5,7,1,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,5,7,2,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,5,7,2,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,5,7,3,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,5,7,3,2,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,6,7,1,2,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,7,1,2,5,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,6,7,1,3,2,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,6,7,1,3,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,7,1,5,2,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,6,7,1,5,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,7,2,1,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,7,2,1,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,7,2,3,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,7,2,3,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,7,2,5,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,7,2,5,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,7,3,1,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,7,3,1,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,7,3,2,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,7,3,2,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,7,3,5,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,6,7,3,5,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,6,7,5,1,2,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,6,7,5,1,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,6,7,5,2,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,6,7,5,2,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,7,5,3,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,6,7,5,3,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,1,2,3,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,1,2,3,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,1,2,5,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,1,2,5,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,7,1,2,6,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,1,2,6,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,1,3,2,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,1,3,2,6,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,7,1,3,5,2,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,7,1,3,5,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,7,1,3,6,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,1,3,6,5,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,7,1,5,2,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,1,5,2,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,1,5,3,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,1,5,3,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,1,5,6,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,1,5,6,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,1,6,2,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,1,6,2,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,1,6,3,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,1,6,3,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,1,6,5,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,1,6,5,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,2,1,3,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,2,1,3,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,2,1,5,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,2,1,5,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,7,2,1,6,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,2,1,6,5,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,7,2,3,1,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,2,3,1,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,2,3,5,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,2,3,5,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,7,2,3,6,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,2,3,6,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,2,5,1,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,2,5,1,6,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,7,2,5,3,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,2,5,3,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,2,5,6,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,2,5,6,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,2,6,1,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,2,6,1,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,2,6,3,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,2,6,3,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,2,6,5,1,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,7,2,6,5,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,3,1,2,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,3,1,2,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,7,3,1,5,2,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,7,3,1,5,6,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[4,7,3,1,6,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,3,1,6,5,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,7,3,2,1,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,3,2,1,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,7,3,2,5,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,7,3,2,5,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[4,7,3,2,6,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,3,2,6,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,3,5,1,2,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,7,3,5,1,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,7,3,5,2,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,3,5,2,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,7,3,5,6,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,3,5,6,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,3,6,1,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,3,6,1,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,3,6,2,1,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[4,7,3,6,2,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,3,6,5,1,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[4,7,3,6,5,2,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[4,7,5,1,2,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,5,1,2,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,5,1,3,2,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,7,5,1,3,6,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,7,5,1,6,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,5,1,6,3,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,7,5,2,1,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,5,2,1,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,5,2,3,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,5,2,3,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,5,2,6,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,5,2,6,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,5,3,1,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,5,3,1,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,5,3,2,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,5,3,2,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,5,3,6,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,5,3,6,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,5,6,1,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,5,6,1,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,5,6,2,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,5,6,2,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,5,6,3,1,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,7,5,6,3,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,6,1,2,3,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,7,6,1,2,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,6,1,3,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,6,1,3,5,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,7,6,1,5,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,6,1,5,3,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[4,7,6,2,1,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,6,2,1,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,6,2,3,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,6,2,3,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,6,2,5,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,6,2,5,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,6,3,1,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,6,3,1,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,6,3,2,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,6,3,2,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,6,3,5,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[4,7,6,3,5,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[4,7,6,5,1,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[4,7,6,5,1,3,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[4,7,6,5,2,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[4,7,6,5,2,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,6,5,3,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[4,7,6,5,3,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,2,3,4,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,2,3,4,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,2,3,6,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,2,3,6,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,2,3,7,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,2,3,7,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,2,4,3,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,1,2,4,3,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,2,4,6,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,2,4,6,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,2,4,7,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,2,4,7,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,2,6,3,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,2,6,3,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,2,6,4,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,2,6,4,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,2,6,7,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,2,6,7,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,2,7,3,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,2,7,3,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,2,7,4,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,2,7,4,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,2,7,6,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,2,7,6,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,3,2,4,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,1,3,2,4,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,3,2,6,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,3,2,6,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,3,2,7,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,3,2,7,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,3,4,2,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[5,1,3,4,2,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,1,3,4,6,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,1,3,4,6,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,3,4,7,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,3,4,7,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,1,3,6,2,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,1,3,6,2,7,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,1,3,6,4,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,3,6,4,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,3,6,7,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,3,6,7,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,3,7,2,4,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,1,3,7,2,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,1,3,7,4,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,3,7,4,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,3,7,6,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,3,7,6,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,4,2,3,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,4,2,3,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,4,2,6,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,4,2,6,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,4,2,7,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,4,2,7,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,4,3,2,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,1,4,3,2,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,1,4,3,6,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,4,3,6,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,4,3,7,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,4,3,7,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,4,6,2,3,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,1,4,6,2,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,4,6,3,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,4,6,3,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,4,6,7,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,4,6,7,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,4,7,2,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,4,7,2,6,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,1,4,7,3,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,4,7,3,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,4,7,6,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,4,7,6,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,6,2,3,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,6,2,3,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,6,2,4,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,6,2,4,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,6,2,7,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,6,2,7,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,6,3,2,4,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,1,6,3,2,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,6,3,4,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,6,3,4,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,6,3,7,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,6,3,7,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,6,4,2,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,1,6,4,2,7,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,1,6,4,3,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,6,4,3,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,6,4,7,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,6,4,7,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,6,7,2,3,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,1,6,7,2,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,6,7,3,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,6,7,3,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,6,7,4,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,6,7,4,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,7,2,3,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,7,2,3,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,7,2,4,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,7,2,4,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,7,2,6,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,7,2,6,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,7,3,2,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,7,3,2,6,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,1,7,3,4,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,7,3,4,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,7,3,6,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,7,3,6,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,7,4,2,3,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,1,7,4,2,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,1,7,4,3,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,7,4,3,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,1,7,4,6,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,1,7,4,6,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,1,7,6,2,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,1,7,6,2,4,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,1,7,6,3,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,1,7,6,3,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,7,6,4,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,1,7,6,4,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,2,1,3,4,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,1,3,4,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,1,3,6,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,1,3,6,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,1,3,7,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,1,3,7,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,1,4,3,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[5,2,1,4,3,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,1,4,6,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,1,4,6,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,1,4,7,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,1,4,7,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,1,6,3,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,1,6,3,7,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,2,1,6,4,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,1,6,4,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,1,6,7,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,1,6,7,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,1,7,3,4,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,2,1,7,3,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,1,7,4,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,1,7,4,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,1,7,6,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,1,7,6,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,3,1,4,6,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[5,2,3,1,4,7,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,3,1,6,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,3,1,6,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,3,1,7,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,3,1,7,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,3,4,1,6,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[5,2,3,4,1,7,6] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,2,3,4,6,1,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[5,2,3,4,6,7,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,3,4,7,1,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,3,4,7,6,1] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[5,2,3,6,1,4,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,2,3,6,1,7,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,3,6,4,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,3,6,4,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,3,6,7,1,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,3,6,7,4,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,3,7,1,4,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,3,7,1,6,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,2,3,7,4,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,3,7,4,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,3,7,6,1,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,3,7,6,4,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,4,1,3,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,4,1,3,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,4,1,6,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,4,1,6,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,4,1,7,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,4,1,7,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,4,3,1,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,2,4,3,1,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,2,4,3,6,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,4,3,6,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,4,3,7,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,4,3,7,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,4,6,1,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,4,6,1,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,4,6,3,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,4,6,3,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,4,6,7,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,4,6,7,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,2,4,7,1,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,4,7,1,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,4,7,3,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,4,7,3,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,4,7,6,1,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,2,4,7,6,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,6,1,3,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,6,1,3,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,6,1,4,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,6,1,4,7,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,2,6,1,7,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,6,1,7,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,6,3,1,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,6,3,1,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,6,3,4,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,6,3,4,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,6,3,7,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,6,3,7,4,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,2,6,4,1,3,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,2,6,4,1,7,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,6,4,3,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,6,4,3,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,6,4,7,1,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,6,4,7,3,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,6,7,1,3,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,2,6,7,1,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,6,7,3,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,6,7,3,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,6,7,4,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,6,7,4,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,7,1,3,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,7,1,3,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,7,1,4,3,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,2,7,1,4,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,7,1,6,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,7,1,6,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,7,3,1,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,7,3,1,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,7,3,4,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,7,3,4,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,7,3,6,1,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,2,7,3,6,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,7,4,1,3,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,7,4,1,6,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,2,7,4,3,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,7,4,3,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,2,7,4,6,1,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,2,7,4,6,3,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,2,7,6,1,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,7,6,1,4,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,2,7,6,3,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,2,7,6,3,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,7,6,4,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,2,7,6,4,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,1,2,4,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,3,1,2,4,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,1,2,6,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,1,2,6,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,1,2,7,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,1,2,7,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,1,4,2,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,3,1,4,2,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,1,4,6,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,3,1,4,6,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,1,4,7,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,1,4,7,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,3,1,6,2,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,1,6,2,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,1,6,4,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,1,6,4,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,1,6,7,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,1,6,7,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,1,7,2,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,1,7,2,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,1,7,4,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,1,7,4,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,1,7,6,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,1,7,6,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,2,1,4,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,3,2,1,4,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,3,2,1,6,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,2,1,6,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,2,1,7,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,2,1,7,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,2,4,1,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,3,2,4,1,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,3,2,4,6,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,3,2,4,6,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,2,4,7,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,2,4,7,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,3,2,6,1,4,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,3,2,6,1,7,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,3,2,6,4,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,2,6,4,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,2,6,7,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,2,6,7,4,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,3,2,7,1,4,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,3,2,7,1,6,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,3,2,7,4,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,2,7,4,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,2,7,6,1,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,3,2,7,6,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,4,1,2,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,3,4,1,2,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,4,1,6,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,4,1,6,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,4,1,7,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,4,1,7,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,4,2,1,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,3,4,2,1,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,3,4,2,6,1,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,3,4,2,6,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,4,2,7,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,4,2,7,6,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,3,4,6,1,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,4,6,1,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,4,6,2,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,4,6,2,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,4,6,7,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,4,6,7,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,4,7,1,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,4,7,1,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,4,7,2,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,4,7,2,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,4,7,6,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,4,7,6,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,6,1,2,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,6,1,2,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,6,1,4,2,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,3,6,1,4,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,6,1,7,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,6,1,7,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,6,2,1,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,6,2,1,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,6,2,4,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,6,2,4,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,6,2,7,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,6,2,7,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,6,4,1,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,3,6,4,1,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,6,4,2,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,3,6,4,2,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,6,4,7,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,6,4,7,2,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,3,6,7,1,2,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,3,6,7,1,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,6,7,2,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,6,7,2,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,6,7,4,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,6,7,4,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,7,1,2,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,7,1,2,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,7,1,4,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,7,1,4,6,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,3,7,1,6,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,7,1,6,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,7,2,1,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,7,2,1,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,7,2,4,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,7,2,4,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,7,2,6,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,7,2,6,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,7,4,1,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,3,7,4,1,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,3,7,4,2,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,7,4,2,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,3,7,4,6,1,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,3,7,4,6,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,3,7,6,1,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,7,6,1,4,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,3,7,6,2,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,3,7,6,2,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,3,7,6,4,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,3,7,6,4,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,1,2,3,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,4,1,2,3,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,4,1,2,6,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,1,2,6,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,1,2,7,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,1,2,7,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,1,3,2,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,4,1,3,2,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,1,3,6,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,1,3,6,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,1,3,7,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,1,3,7,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,1,6,2,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,1,6,2,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,1,6,3,2,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,4,1,6,3,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,1,6,7,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,1,6,7,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,1,7,2,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,1,7,2,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,1,7,3,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,1,7,3,6,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,4,1,7,6,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,1,7,6,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,2,1,3,6,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,4,2,1,3,7,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,2,1,6,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,2,1,6,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,2,1,7,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,2,1,7,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,2,3,1,6,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,4,2,3,1,7,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,4,2,3,6,1,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,4,2,3,6,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,2,3,7,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,2,3,7,6,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,4,2,6,1,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,2,6,1,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,2,6,3,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,2,6,3,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,2,6,7,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,2,6,7,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,2,7,1,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,2,7,1,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,2,7,3,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,2,7,3,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,2,7,6,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,2,7,6,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,3,1,2,6,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,4,3,1,2,7,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,3,1,6,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,4,3,1,6,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,3,1,7,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,3,1,7,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,4,3,2,1,6,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,4,3,2,1,7,6] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,4,3,2,6,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,4,3,2,6,7,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,3,2,7,1,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,3,2,7,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,4,3,6,1,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,4,3,6,1,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,3,6,2,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,4,3,6,2,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,3,6,7,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,3,6,7,2,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,4,3,7,1,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,3,7,1,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,4,3,7,2,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,3,7,2,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,4,3,7,6,1,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,4,3,7,6,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,6,1,2,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,6,1,2,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,6,1,3,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,6,1,3,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,6,1,7,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,6,1,7,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,6,2,1,3,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,4,6,2,1,7,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,4,6,2,3,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,6,2,3,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,6,2,7,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,6,2,7,3,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,4,6,3,1,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,6,3,1,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,6,3,2,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,6,3,2,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,6,3,7,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,6,3,7,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,6,7,1,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,6,7,1,3,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,4,6,7,2,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,6,7,2,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,6,7,3,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,6,7,3,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,7,1,2,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,7,1,2,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,7,1,3,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,7,1,3,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,7,1,6,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,7,1,6,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,7,2,1,3,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,4,7,2,1,6,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,4,7,2,3,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,7,2,3,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,7,2,6,1,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,4,7,2,6,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,7,3,1,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,7,3,1,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,4,7,3,2,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,7,3,2,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,4,7,3,6,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,4,7,3,6,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,7,6,1,2,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,4,7,6,1,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,7,6,2,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,4,7,6,2,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,7,6,3,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,4,7,6,3,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,1,2,3,4,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,6,1,2,3,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,1,2,4,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,1,2,4,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,1,2,7,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,1,2,7,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,1,3,2,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,1,3,2,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,1,3,4,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,1,3,4,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,1,3,7,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,1,3,7,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,1,4,2,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,6,1,4,2,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,1,4,3,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,6,1,4,3,7,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,6,1,4,7,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,1,4,7,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,1,7,2,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,1,7,2,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,1,7,3,2,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,6,1,7,3,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,1,7,4,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,1,7,4,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,2,1,3,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,2,1,3,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,2,1,4,3,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,6,2,1,4,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,2,1,7,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,2,1,7,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,2,3,1,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,2,3,1,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,2,3,4,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,2,3,4,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,2,3,7,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,2,3,7,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,2,4,1,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,6,2,4,1,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,2,4,3,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,6,2,4,3,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,2,4,7,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,2,4,7,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,6,2,7,1,3,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,6,2,7,1,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,2,7,3,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,2,7,3,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,2,7,4,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,2,7,4,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,3,1,2,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,6,3,1,2,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,3,1,4,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,6,3,1,4,7,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,6,3,1,7,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,3,1,7,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,3,2,1,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,6,3,2,1,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,3,2,4,1,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,6,3,2,4,7,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,3,2,7,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,3,2,7,4,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,6,3,4,1,2,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,6,3,4,1,7,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,6,3,4,2,1,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,6,3,4,2,7,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,6,3,4,7,1,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,6,3,4,7,2,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,6,3,7,1,2,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,6,3,7,1,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,3,7,2,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,3,7,2,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,3,7,4,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,3,7,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,4,1,2,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,4,1,2,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,4,1,3,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,4,1,3,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,4,1,7,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,4,1,7,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,4,2,1,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,4,2,1,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,4,2,3,1,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,4,2,3,7,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,4,2,7,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,4,2,7,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,4,3,1,2,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,6,4,3,1,7,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,6,4,3,2,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,4,3,2,7,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,4,3,7,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,4,3,7,2,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,6,4,7,1,2,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,6,4,7,1,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,4,7,2,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,4,7,2,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,4,7,3,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,4,7,3,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,7,1,2,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,7,1,2,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,7,1,3,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,7,1,3,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,7,1,4,2,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,6,7,1,4,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,7,2,1,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,7,2,1,4,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,6,7,2,3,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,7,2,3,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,7,2,4,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,7,2,4,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,7,3,1,2,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,6,7,3,1,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,7,3,2,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,6,7,3,2,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,7,3,4,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,6,7,3,4,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,6,7,4,1,2,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,6,7,4,1,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,7,4,2,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,6,7,4,2,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,7,4,3,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,6,7,4,3,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,1,2,3,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,1,2,3,6,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,7,1,2,4,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,1,2,4,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,1,2,6,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,1,2,6,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,1,3,2,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,1,3,2,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,1,3,4,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,1,3,4,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,1,3,6,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,1,3,6,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,1,4,2,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,1,4,2,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,7,1,4,3,2,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,7,1,4,3,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,7,1,4,6,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,1,4,6,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,1,6,2,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,1,6,2,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,1,6,3,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,1,6,3,4,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,7,1,6,4,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,1,6,4,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,2,1,3,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,2,1,3,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,2,1,4,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,2,1,4,6,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,7,2,1,6,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,2,1,6,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,2,3,1,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,2,3,1,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,2,3,4,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,2,3,4,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,2,3,6,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,2,3,6,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,2,4,1,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,2,4,1,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,7,2,4,3,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,2,4,3,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,7,2,4,6,1,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,7,2,4,6,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,2,6,1,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,2,6,1,4,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,7,2,6,3,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,2,6,3,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,2,6,4,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,2,6,4,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,3,1,2,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,3,1,2,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,7,3,1,4,2,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,7,3,1,4,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,7,3,1,6,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,3,1,6,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,3,2,1,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,3,2,1,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,7,3,2,4,1,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,3,2,4,6,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,7,3,2,6,1,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[5,7,3,2,6,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,3,4,1,2,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,7,3,4,1,6,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[5,7,3,4,2,1,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,7,3,4,2,6,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[5,7,3,4,6,1,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[5,7,3,4,6,2,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[5,7,3,6,1,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,3,6,1,4,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,7,3,6,2,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,3,6,2,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,3,6,4,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,3,6,4,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,4,1,2,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,4,1,2,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,4,1,3,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,4,1,3,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,4,1,6,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,4,1,6,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,4,2,1,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,4,2,1,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,4,2,3,1,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,4,2,3,6,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,4,2,6,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,4,2,6,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,4,3,1,2,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,7,4,3,1,6,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,7,4,3,2,1,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,4,3,2,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,4,3,6,1,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,7,4,3,6,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,4,6,1,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,4,6,1,3,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,7,4,6,2,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,4,6,2,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,4,6,3,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,4,6,3,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,6,1,2,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,6,1,2,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,6,1,3,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,6,1,3,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,6,1,4,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,6,1,4,3,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,7,6,2,1,3,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,7,6,2,1,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,6,2,3,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,6,2,3,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,6,2,4,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,6,2,4,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,6,3,1,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,6,3,1,4,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[5,7,6,3,2,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,6,3,2,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[5,7,6,3,4,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[5,7,6,3,4,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[5,7,6,4,1,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,6,4,1,3,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[5,7,6,4,2,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[5,7,6,4,2,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,6,4,3,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[5,7,6,4,3,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,2,3,4,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,2,3,4,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,2,3,5,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,2,3,5,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,2,3,7,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,2,3,7,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,2,4,3,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,2,4,3,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,2,4,5,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,1,2,4,5,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,2,4,7,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,2,4,7,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,2,5,3,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,2,5,3,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,2,5,4,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,2,5,4,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,2,5,7,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,2,5,7,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,2,7,3,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,2,7,3,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,2,7,4,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,2,7,4,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,2,7,5,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,2,7,5,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,3,2,4,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,3,2,4,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,3,2,5,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,1,3,2,5,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,3,2,7,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,3,2,7,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,3,4,2,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,1,3,4,2,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,3,4,5,2,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[6,1,3,4,5,7,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,1,3,4,7,2,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,1,3,4,7,5,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,3,5,2,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,3,5,2,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,3,5,4,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,1,3,5,4,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,3,5,7,2,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,1,3,5,7,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,3,7,2,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,3,7,2,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,3,7,4,2,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,1,3,7,4,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,3,7,5,2,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,1,3,7,5,4,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,4,2,3,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,4,2,3,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,4,2,5,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,4,2,5,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,4,2,7,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,4,2,7,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,4,3,2,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,4,3,2,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,4,3,5,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,1,4,3,5,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,4,3,7,2,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,1,4,3,7,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,4,5,2,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,4,5,2,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,4,5,3,2,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,1,4,5,3,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,4,5,7,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,4,5,7,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,4,7,2,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,4,7,2,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,4,7,3,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,4,7,3,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,4,7,5,2,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,1,4,7,5,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,5,2,3,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,5,2,3,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,5,2,4,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,5,2,4,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,5,2,7,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,5,2,7,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,5,3,2,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,5,3,2,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,5,3,4,2,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,1,5,3,4,7,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,5,3,7,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,5,3,7,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,5,4,2,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,5,4,2,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,5,4,3,2,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,1,5,4,3,7,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,5,4,7,2,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,1,5,4,7,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,5,7,2,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,5,7,2,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,5,7,3,2,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,1,5,7,3,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,5,7,4,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,5,7,4,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,7,2,3,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,7,2,3,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,7,2,4,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,7,2,4,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,7,2,5,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,7,2,5,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,7,3,2,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,7,3,2,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,7,3,4,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,7,3,4,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,7,3,5,2,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,1,7,3,5,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,7,4,2,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,7,4,2,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,1,7,4,3,2,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,1,7,4,3,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,1,7,4,5,2,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,1,7,4,5,3,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,1,7,5,2,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,7,5,2,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,1,7,5,3,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,1,7,5,3,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,1,7,5,4,2,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,1,7,5,4,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,2,1,3,4,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,1,3,4,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,1,3,5,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,1,3,5,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,1,3,7,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,1,3,7,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,1,4,3,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,1,4,3,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,1,4,5,3,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[6,2,1,4,5,7,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,1,4,7,3,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,1,4,7,5,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,1,5,3,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,1,5,3,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,1,5,4,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,1,5,4,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,1,5,7,3,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,2,1,5,7,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,1,7,3,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,1,7,3,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,1,7,4,3,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,2,1,7,4,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,1,7,5,3,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,1,7,5,4,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,3,1,4,5,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,3,1,4,7,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,3,1,5,4,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[6,2,3,1,5,7,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,3,1,7,4,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,3,1,7,5,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,3,4,1,5,7] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[6,2,3,4,1,7,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,3,4,5,1,7] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[6,2,3,4,5,7,1] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[6,2,3,4,7,1,5] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,2,3,4,7,5,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,3,5,1,4,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,3,5,1,7,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,3,5,4,1,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,2,3,5,4,7,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,3,5,7,1,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,3,5,7,4,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,3,7,1,4,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,3,7,1,5,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,3,7,4,1,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,3,7,4,5,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,3,7,5,1,4] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,2,3,7,5,4,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,4,1,3,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,4,1,3,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,4,1,5,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,4,1,5,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,4,1,7,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,4,1,7,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,4,3,1,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,4,3,1,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,4,3,5,1,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,2,4,3,5,7,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,4,3,7,1,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,2,4,3,7,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,4,5,1,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,4,5,1,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,4,5,3,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,4,5,3,7,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,2,4,5,7,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,4,5,7,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,4,7,1,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,4,7,1,5,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,2,4,7,3,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,4,7,3,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,4,7,5,1,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,4,7,5,3,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,5,1,3,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,5,1,3,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,5,1,4,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,5,1,4,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,5,1,7,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,5,1,7,4,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,2,5,3,1,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,5,3,1,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,5,3,4,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,5,3,4,7,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,2,5,3,7,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,5,3,7,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,5,4,1,3,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,5,4,1,7,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,5,4,3,1,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,2,5,4,3,7,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,5,4,7,1,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,5,4,7,3,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,5,7,1,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,5,7,1,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,5,7,3,1,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,2,5,7,3,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,5,7,4,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,5,7,4,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,7,1,3,4,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,2,7,1,3,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,7,1,4,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,7,1,4,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,7,1,5,3,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,7,1,5,4,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,7,3,1,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,7,3,1,5,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,2,7,3,4,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,7,3,4,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,7,3,5,1,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,7,3,5,4,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,7,4,1,3,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,7,4,1,5,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,7,4,3,1,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,2,7,4,3,5,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,2,7,4,5,1,3] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,2,7,4,5,3,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,2,7,5,1,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,7,5,1,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,7,5,3,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,2,7,5,3,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,2,7,5,4,1,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,2,7,5,4,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,1,2,4,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,1,2,4,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,1,2,5,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,3,1,2,5,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,1,2,7,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,1,2,7,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,1,4,2,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,3,1,4,2,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,1,4,5,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,3,1,4,5,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,3,1,4,7,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,1,4,7,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,1,5,2,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,1,5,2,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,1,5,4,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,1,5,4,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,1,5,7,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,1,5,7,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,1,7,2,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,1,7,2,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,1,7,4,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,1,7,4,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,1,7,5,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,1,7,5,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,2,1,4,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,2,1,4,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,2,1,5,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,3,2,1,5,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,2,1,7,4,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,3,2,1,7,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,2,4,1,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,3,2,4,1,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,2,4,5,1,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,3,2,4,5,7,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,3,2,4,7,1,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,3,2,4,7,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,2,5,1,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,2,5,1,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,2,5,4,1,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,3,2,5,4,7,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,3,2,5,7,1,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,3,2,5,7,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,2,7,1,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,2,7,1,5,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,3,2,7,4,1,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,3,2,7,4,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,2,7,5,1,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,3,2,7,5,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,4,1,2,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,4,1,2,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,4,1,5,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,3,4,1,5,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,4,1,7,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,4,1,7,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,4,2,1,5,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,3,4,2,1,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,4,2,5,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,3,4,2,5,7,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,3,4,2,7,1,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,3,4,2,7,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,4,5,1,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,4,5,1,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,4,5,2,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,4,5,2,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,4,5,7,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,4,5,7,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,4,7,1,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,4,7,1,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,4,7,2,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,4,7,2,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,4,7,5,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,4,7,5,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,5,1,2,4,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,3,5,1,2,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,5,1,4,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,5,1,4,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,5,1,7,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,5,1,7,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,5,2,1,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,5,2,1,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,5,2,4,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,5,2,4,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,5,2,7,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,5,2,7,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,5,4,1,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,3,5,4,1,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,5,4,2,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,3,5,4,2,7,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,3,5,4,7,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,5,4,7,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,5,7,1,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,5,7,1,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,5,7,2,1,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,3,5,7,2,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,5,7,4,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,5,7,4,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,7,1,2,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,7,1,2,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,7,1,4,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,7,1,4,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,7,1,5,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,7,1,5,4,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,3,7,2,1,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,7,2,1,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,7,2,4,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,7,2,4,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,7,2,5,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,7,2,5,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,7,4,1,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,7,4,1,5,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,3,7,4,2,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,3,7,4,2,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,3,7,4,5,1,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,3,7,4,5,2,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,3,7,5,1,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,7,5,1,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,3,7,5,2,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,3,7,5,2,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,3,7,5,4,1,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,3,7,5,4,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,1,2,3,5,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,1,2,3,7,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,1,2,5,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,4,1,2,5,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,1,2,7,3,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,4,1,2,7,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,1,3,2,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,1,3,2,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,1,3,5,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,4,1,3,5,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,1,3,7,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,1,3,7,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,1,5,2,3,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,4,1,5,2,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,1,5,3,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,1,5,3,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,1,5,7,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,1,5,7,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,1,7,2,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,1,7,2,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,1,7,3,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,1,7,3,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,1,7,5,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,1,7,5,3,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,4,2,1,3,5,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,2,1,3,7,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,2,1,5,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,4,2,1,5,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,2,1,7,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,2,1,7,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,2,3,1,5,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,4,2,3,1,7,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,2,3,5,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,4,2,3,5,7,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,4,2,3,7,1,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,4,2,3,7,5,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,2,5,1,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,2,5,1,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,2,5,3,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,2,5,3,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,2,5,7,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,2,5,7,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,2,7,1,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,2,7,1,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,2,7,3,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,2,7,3,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,2,7,5,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,2,7,5,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,3,1,2,5,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,4,3,1,2,7,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,3,1,5,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,4,3,1,5,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,4,3,1,7,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,3,1,7,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,3,2,1,5,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,4,3,2,1,7,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,3,2,5,1,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,4,3,2,5,7,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,4,3,2,7,1,5] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,4,3,2,7,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,3,5,1,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,4,3,5,1,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,3,5,2,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,4,3,5,2,7,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,4,3,5,7,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,3,5,7,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,3,7,1,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,3,7,1,5,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,4,3,7,2,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,3,7,2,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,3,7,5,1,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,4,3,7,5,2,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,4,5,1,2,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,5,1,2,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,5,1,3,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,5,1,3,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,5,1,7,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,5,1,7,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,5,2,1,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,5,2,1,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,5,2,3,1,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,4,5,2,3,7,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,4,5,2,7,1,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,4,5,2,7,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,5,3,1,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,5,3,1,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,5,3,2,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,5,3,2,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,5,3,7,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,5,3,7,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,5,7,1,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,5,7,1,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,5,7,2,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,5,7,2,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,5,7,3,1,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,4,5,7,3,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,7,1,2,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,7,1,2,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,7,1,3,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,7,1,3,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,7,1,5,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,7,1,5,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,7,2,1,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,7,2,1,5,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,4,7,2,3,1,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,4,7,2,3,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,7,2,5,1,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,4,7,2,5,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,7,3,1,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,7,3,1,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,7,3,2,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,7,3,2,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,7,3,5,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,4,7,3,5,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,4,7,5,1,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,7,5,1,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,4,7,5,2,1,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,4,7,5,2,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,4,7,5,3,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,4,7,5,3,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,1,2,3,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,1,2,3,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,1,2,4,3,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,5,1,2,4,7,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,1,2,7,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,1,2,7,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,1,3,2,4,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,1,3,2,7,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,1,3,4,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,1,3,4,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,1,3,7,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,1,3,7,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,1,4,2,3,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,5,1,4,2,7,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,1,4,3,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,5,1,4,3,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,1,4,7,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,1,4,7,3,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,5,1,7,2,3,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,5,1,7,2,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,1,7,3,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,1,7,3,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,1,7,4,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,1,7,4,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,2,1,3,4,7] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,5,2,1,3,7,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,2,1,4,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,2,1,4,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,2,1,7,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,2,1,7,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,2,3,1,4,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,2,3,1,7,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,2,3,4,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,2,3,4,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,2,3,7,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,2,3,7,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,2,4,1,3,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,5,2,4,1,7,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,2,4,3,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,5,2,4,3,7,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,5,2,4,7,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,2,4,7,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,2,7,1,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,2,7,1,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,2,7,3,1,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,5,2,7,3,4,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,2,7,4,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,2,7,4,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,3,1,2,4,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,5,3,1,2,7,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,3,1,4,2,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,5,3,1,4,7,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,3,1,7,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,3,1,7,4,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,5,3,2,1,4,7] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,5,3,2,1,7,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,3,2,4,1,7] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,5,3,2,4,7,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,5,3,2,7,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,3,2,7,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,3,4,1,2,7] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,5,3,4,1,7,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,5,3,4,2,1,7] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,5,3,4,2,7,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,5,3,4,7,1,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,5,3,4,7,2,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,5,3,7,1,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,3,7,1,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,3,7,2,1,4] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,5,3,7,2,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,3,7,4,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,3,7,4,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,4,1,2,3,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,4,1,2,7,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,4,1,3,2,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,4,1,3,7,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,4,1,7,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,4,1,7,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,4,2,1,3,7] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,4,2,1,7,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,4,2,3,1,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,4,2,3,7,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,4,2,7,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,4,2,7,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,4,3,1,2,7] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,4,3,1,7,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,4,3,2,1,7] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,5,4,3,2,7,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,5,4,3,7,1,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,5,4,3,7,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,4,7,1,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,4,7,1,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,4,7,2,1,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,5,4,7,2,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,4,7,3,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,4,7,3,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,7,1,2,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,7,1,2,4,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,5,7,1,3,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,7,1,3,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,7,1,4,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,7,1,4,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,7,2,1,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,7,2,1,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,7,2,3,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,7,2,3,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,7,2,4,1,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,5,7,2,4,3,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,7,3,1,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,5,7,3,1,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,7,3,2,1,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,5,7,3,2,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,7,3,4,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,5,7,3,4,2,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,5,7,4,1,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,7,4,1,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,5,7,4,2,1,3] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,5,7,4,2,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,7,4,3,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,5,7,4,3,2,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,1,2,3,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,1,2,3,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,1,2,4,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,1,2,4,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,1,2,5,3,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,7,1,2,5,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,1,3,2,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,1,3,2,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,1,3,4,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,1,3,4,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,1,3,5,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,1,3,5,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,1,4,2,3,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,7,1,4,2,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,1,4,3,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,1,4,3,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,1,4,5,2,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,7,1,4,5,3,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,7,1,5,2,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,1,5,2,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,1,5,3,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,1,5,3,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,1,5,4,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,1,5,4,3,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,7,2,1,3,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,2,1,3,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,2,1,4,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,2,1,4,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,2,1,5,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,2,1,5,4,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,7,2,3,1,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,2,3,1,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,2,3,4,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,2,3,4,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,2,3,5,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,2,3,5,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,2,4,1,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,2,4,1,5,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,7,2,4,3,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,2,4,3,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,2,4,5,1,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,7,2,4,5,3,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,7,2,5,1,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,2,5,1,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,2,5,3,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,2,5,3,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,2,5,4,1,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,7,2,5,4,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,3,1,2,4,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,7,3,1,2,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,3,1,4,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,3,1,4,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,3,1,5,2,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,7,3,1,5,4,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,7,3,2,1,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,3,2,1,5,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[6,7,3,2,4,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,3,2,4,5,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,3,2,5,1,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,7,3,2,5,4,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,7,3,4,1,2,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,7,3,4,1,5,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,7,3,4,2,1,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[6,7,3,4,2,5,1] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[6,7,3,4,5,1,2] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[6,7,3,4,5,2,1] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[6,7,3,5,1,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,3,5,1,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,3,5,2,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,3,5,2,4,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,3,5,4,1,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,7,3,5,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,4,1,2,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,4,1,2,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,4,1,3,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,4,1,3,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,4,1,5,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,4,1,5,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,4,2,1,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,4,2,1,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,4,2,3,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,4,2,3,5,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,4,2,5,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,4,2,5,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,4,3,1,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,4,3,1,5,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,7,4,3,2,1,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,7,4,3,2,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,4,3,5,1,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,7,4,3,5,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,4,5,1,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,4,5,1,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,4,5,2,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,4,5,2,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,4,5,3,1,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,7,4,5,3,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,5,1,2,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,5,1,2,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,5,1,3,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,5,1,3,4,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,7,5,1,4,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,5,1,4,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,5,2,1,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,5,2,1,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,5,2,3,1,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,7,5,2,3,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,5,2,4,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,5,2,4,3,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,5,3,1,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,5,3,1,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,5,3,2,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[6,7,5,3,2,4,1] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[6,7,5,3,4,1,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[6,7,5,3,4,2,1] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[6,7,5,4,1,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,5,4,1,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,5,4,2,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[6,7,5,4,2,3,1] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[6,7,5,4,3,1,2] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[6,7,5,4,3,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,2,3,4,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,2,3,4,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,2,3,5,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,2,3,5,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,2,3,6,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,2,3,6,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,2,4,3,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,2,4,3,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,2,4,5,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,2,4,5,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,1,2,4,6,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,2,4,6,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,2,5,3,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,2,5,3,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,2,5,4,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,2,5,4,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,2,5,6,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,2,5,6,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,2,6,3,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,2,6,3,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,2,6,4,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,2,6,4,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,2,6,5,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,2,6,5,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,3,2,4,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,3,2,4,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,3,2,5,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,3,2,5,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,1,3,2,6,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,3,2,6,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,3,4,2,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,3,4,2,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,1,3,4,5,2,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,1,3,4,5,6,2] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[7,1,3,4,6,2,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,3,4,6,5,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,1,3,5,2,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,3,5,2,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,3,5,4,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,3,5,4,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,1,3,5,6,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,3,5,6,4,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,1,3,6,2,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,3,6,2,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,3,6,4,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,3,6,4,5,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,1,3,6,5,2,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,3,6,5,4,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,1,4,2,3,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,4,2,3,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,4,2,5,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,4,2,5,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,4,2,6,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,4,2,6,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,4,3,2,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,4,3,2,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,4,3,5,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,4,3,5,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,1,4,3,6,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,4,3,6,5,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,1,4,5,2,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,4,5,2,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,4,5,3,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,4,5,3,6,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,1,4,5,6,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,4,5,6,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,4,6,2,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,4,6,2,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,4,6,3,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,4,6,3,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,4,6,5,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,4,6,5,3,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,1,5,2,3,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,5,2,3,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,5,2,4,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,5,2,4,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,5,2,6,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,5,2,6,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,5,3,2,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,5,3,2,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,5,3,4,2,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,5,3,4,6,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,1,5,3,6,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,5,3,6,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,5,4,2,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,5,4,2,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,5,4,3,2,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,5,4,3,6,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,1,5,4,6,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,5,4,6,3,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,1,5,6,2,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,5,6,2,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,5,6,3,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,5,6,3,4,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,1,5,6,4,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,5,6,4,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,6,2,3,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,6,2,3,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,6,2,4,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,6,2,4,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,6,2,5,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,6,2,5,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,6,3,2,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,6,3,2,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,6,3,4,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,6,3,4,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,6,3,5,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,6,3,5,4,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,1,6,4,2,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,1,6,4,2,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,6,4,3,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,1,6,4,3,5,2] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,1,6,4,5,2,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,1,6,4,5,3,2] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,1,6,5,2,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,6,5,2,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,6,5,3,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,1,6,5,3,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,1,6,5,4,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,1,6,5,4,3,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,2,1,3,4,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,1,3,4,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,1,3,5,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,1,3,5,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,1,3,6,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,1,3,6,5,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,1,4,3,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,1,4,3,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,1,4,5,3,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,1,4,5,6,3] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[7,2,1,4,6,3,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,1,4,6,5,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,1,5,3,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,1,5,3,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,1,5,4,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,1,5,4,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,1,5,6,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,1,5,6,4,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,2,1,6,3,4,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,1,6,3,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,1,6,4,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,1,6,4,5,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,2,1,6,5,3,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,1,6,5,4,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,3,1,4,5,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,3,1,4,6,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,3,1,5,4,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,3,1,5,6,4] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[7,2,3,1,6,4,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,3,1,6,5,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,3,4,1,5,6] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,3,4,1,6,5] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[7,2,3,4,5,1,6] => [3,1,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => 3

[7,2,3,4,5,6,1] => [2,1,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => 2

[7,2,3,4,6,1,5] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,3,4,6,5,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,2,3,5,1,4,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,3,5,1,6,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,3,5,4,1,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,3,5,4,6,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,2,3,5,6,1,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,3,5,6,4,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,3,6,1,4,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,3,6,1,5,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,3,6,4,1,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,3,6,4,5,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,3,6,5,1,4] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,3,6,5,4,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,2,4,1,3,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,4,1,3,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,4,1,5,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,4,1,5,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,4,1,6,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,4,1,6,5,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,4,3,1,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,4,3,1,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,4,3,5,1,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,4,3,5,6,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,2,4,3,6,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,4,3,6,5,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,2,4,5,1,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,4,5,1,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,4,5,3,1,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,2,4,5,3,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,4,5,6,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,4,5,6,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,4,6,1,3,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,2,4,6,1,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,4,6,3,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,4,6,3,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,4,6,5,1,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,4,6,5,3,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,5,1,3,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,5,1,3,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,5,1,4,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,5,1,4,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,5,1,6,3,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,2,5,1,6,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,5,3,1,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,5,3,1,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,5,3,4,1,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,2,5,3,4,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,5,3,6,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,5,3,6,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,5,4,1,3,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,5,4,1,6,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,5,4,3,1,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,5,4,3,6,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,2,5,4,6,1,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,5,4,6,3,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,5,6,1,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,5,6,1,4,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,5,6,3,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,5,6,3,4,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,2,5,6,4,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,5,6,4,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,6,1,3,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,6,1,3,5,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,2,6,1,4,3,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,6,1,4,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,6,1,5,3,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,6,1,5,4,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,6,3,1,4,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,2,6,3,1,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,6,3,4,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,6,3,4,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,6,3,5,1,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,6,3,5,4,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,6,4,1,3,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,6,4,1,5,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,6,4,3,1,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,2,6,4,3,5,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,2,6,4,5,1,3] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,2,6,4,5,3,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,2,6,5,1,3,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,6,5,1,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,6,5,3,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,2,6,5,3,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,6,5,4,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,2,6,5,4,3,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,3,1,2,4,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,1,2,4,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,1,2,5,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,1,2,5,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,3,1,2,6,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,1,2,6,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,1,4,2,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,1,4,2,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,3,1,4,5,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,3,1,4,5,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,3,1,4,6,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,1,4,6,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,1,5,2,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,1,5,2,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,1,5,4,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,1,5,4,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,1,5,6,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,1,5,6,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,1,6,2,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,1,6,2,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,1,6,4,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,1,6,4,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,1,6,5,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,1,6,5,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,2,1,4,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,2,1,4,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,2,1,5,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,2,1,5,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,3,2,1,6,4,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,2,1,6,5,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,3,2,4,1,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,2,4,1,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,3,2,4,5,1,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,3,2,4,5,6,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,3,2,4,6,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,2,4,6,5,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,3,2,5,1,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,2,5,1,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,2,5,4,1,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,3,2,5,4,6,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,3,2,5,6,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,2,5,6,4,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,3,2,6,1,4,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,3,2,6,1,5,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,2,6,4,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,2,6,4,5,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,3,2,6,5,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,2,6,5,4,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,3,4,1,2,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,4,1,2,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,4,1,5,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,4,1,5,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,3,4,1,6,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,4,1,6,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,4,2,1,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,4,2,1,6,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,3,4,2,5,1,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,3,4,2,5,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,3,4,2,6,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,4,2,6,5,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,3,4,5,1,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,4,5,1,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,4,5,2,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,4,5,2,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,4,5,6,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,4,5,6,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,4,6,1,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,4,6,1,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,4,6,2,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,4,6,2,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,4,6,5,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,4,6,5,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,5,1,2,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,5,1,2,6,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,3,5,1,4,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,5,1,4,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,5,1,6,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,5,1,6,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,5,2,1,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,5,2,1,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,5,2,4,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,5,2,4,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,5,2,6,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,5,2,6,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,5,4,1,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,5,4,1,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,3,5,4,2,1,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,3,5,4,2,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,3,5,4,6,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,5,4,6,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,5,6,1,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,5,6,1,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,5,6,2,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,5,6,2,4,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,3,5,6,4,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,5,6,4,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,6,1,2,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,6,1,2,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,6,1,4,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,6,1,4,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,6,1,5,2,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,3,6,1,5,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,6,2,1,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,6,2,1,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,6,2,4,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,6,2,4,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,6,2,5,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,6,2,5,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,6,4,1,2,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,3,6,4,1,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,6,4,2,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,3,6,4,2,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,3,6,4,5,1,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,3,6,4,5,2,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,3,6,5,1,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,3,6,5,1,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,6,5,2,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,3,6,5,2,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,6,5,4,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,3,6,5,4,2,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,1,2,3,5,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,1,2,3,6,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,1,2,5,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,1,2,5,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,4,1,2,6,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,1,2,6,5,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,1,3,2,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,1,3,2,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,1,3,5,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,1,3,5,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,4,1,3,6,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,1,3,6,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,1,5,2,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,1,5,2,6,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,4,1,5,3,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,1,5,3,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,1,5,6,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,1,5,6,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,1,6,2,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,1,6,2,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,1,6,3,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,1,6,3,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,1,6,5,2,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,4,1,6,5,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,2,1,3,5,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,2,1,3,6,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,2,1,5,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,2,1,5,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,4,2,1,6,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,2,1,6,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,2,3,1,5,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,2,3,1,6,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,4,2,3,5,1,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,4,2,3,5,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,4,2,3,6,1,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,2,3,6,5,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,2,5,1,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,2,5,1,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,2,5,3,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,2,5,3,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,2,5,6,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,2,5,6,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,2,6,1,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,2,6,1,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,2,6,3,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,2,6,3,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,2,6,5,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,2,6,5,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,3,1,2,5,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,3,1,2,6,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,4,3,1,5,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,4,3,1,5,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,4,3,1,6,2,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,3,1,6,5,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,3,2,1,5,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,3,2,1,6,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,4,3,2,5,1,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,4,3,2,5,6,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,4,3,2,6,1,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,3,2,6,5,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,4,3,5,1,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,3,5,1,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,4,3,5,2,1,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,4,3,5,2,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,4,3,5,6,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,3,5,6,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,3,6,1,2,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,4,3,6,1,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,3,6,2,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,3,6,2,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,3,6,5,1,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,4,3,6,5,2,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,4,5,1,2,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,5,1,2,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,5,1,3,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,5,1,3,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,5,1,6,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,5,1,6,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,5,2,1,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,5,2,1,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,5,2,3,1,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,5,2,3,6,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,4,5,2,6,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,5,2,6,3,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,5,3,1,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,5,3,1,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,5,3,2,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,5,3,2,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,5,3,6,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,5,3,6,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,5,6,1,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,5,6,1,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,5,6,2,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,5,6,2,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,5,6,3,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,5,6,3,2,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,6,1,2,3,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,6,1,2,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,6,1,3,2,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,6,1,3,5,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,6,1,5,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,6,1,5,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,6,2,1,3,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,6,2,1,5,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,6,2,3,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,6,2,3,5,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,6,2,5,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,6,2,5,3,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,4,6,3,1,2,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,6,3,1,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,6,3,2,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,6,3,2,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,6,3,5,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,4,6,3,5,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,4,6,5,1,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,6,5,1,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,4,6,5,2,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,4,6,5,2,3,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,4,6,5,3,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,4,6,5,3,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,1,2,3,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,1,2,3,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,1,2,4,3,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,1,2,4,6,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,5,1,2,6,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,1,2,6,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,1,3,2,4,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,1,3,2,6,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,1,3,4,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,1,3,4,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,1,3,6,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,1,3,6,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,1,4,2,3,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,1,4,2,6,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,5,1,4,3,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,1,4,3,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,5,1,4,6,2,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,5,1,4,6,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,1,6,2,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,1,6,2,4,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,5,1,6,3,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,1,6,3,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,1,6,4,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,1,6,4,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,2,1,3,4,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,2,1,3,6,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,5,2,1,4,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,2,1,4,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,2,1,6,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,2,1,6,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,2,3,1,4,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,2,3,1,6,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,2,3,4,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,2,3,4,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,2,3,6,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,2,3,6,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,2,4,1,3,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,2,4,1,6,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,5,2,4,3,1,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,5,2,4,3,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,5,2,4,6,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,2,4,6,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,2,6,1,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,2,6,1,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,2,6,3,1,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,2,6,3,4,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,5,2,6,4,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,2,6,4,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,3,1,2,4,6] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,3,1,2,6,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,5,3,1,4,2,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,3,1,4,6,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,5,3,1,6,2,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,5,3,1,6,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,3,2,1,4,6] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,3,2,1,6,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,5,3,2,4,1,6] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,5,3,2,4,6,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,5,3,2,6,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,3,2,6,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,3,4,1,2,6] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,5,3,4,1,6,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,5,3,4,2,1,6] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,5,3,4,2,6,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,5,3,4,6,1,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,5,3,4,6,2,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,5,3,6,1,2,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,3,6,1,4,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,3,6,2,1,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,3,6,2,4,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,5,3,6,4,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,3,6,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,4,1,2,3,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,4,1,2,6,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,4,1,3,2,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,4,1,3,6,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,4,1,6,2,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,4,1,6,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,4,2,1,3,6] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,4,2,1,6,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,4,2,3,1,6] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,4,2,3,6,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,4,2,6,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,4,2,6,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,4,3,1,2,6] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,4,3,1,6,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,4,3,2,1,6] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,5,4,3,2,6,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,5,4,3,6,1,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,4,3,6,2,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,5,4,6,1,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,4,6,1,3,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,4,6,2,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,4,6,2,3,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,5,4,6,3,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,4,6,3,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,6,1,2,3,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,5,6,1,2,4,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,6,1,3,2,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,6,1,3,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,6,1,4,2,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,6,1,4,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,6,2,1,3,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,6,2,1,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,6,2,3,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,6,2,3,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,6,2,4,1,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,6,2,4,3,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,5,6,3,1,2,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,6,3,1,4,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,5,6,3,2,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,6,3,2,4,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,5,6,3,4,1,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,5,6,3,4,2,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,5,6,4,1,2,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,6,4,1,3,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,6,4,2,1,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,5,6,4,2,3,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,5,6,4,3,1,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,5,6,4,3,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,1,2,3,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,1,2,3,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,1,2,4,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,1,2,4,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,1,2,5,3,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,1,2,5,4,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,6,1,3,2,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,1,3,2,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,1,3,4,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,1,3,4,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,1,3,5,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,1,3,5,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,1,4,2,3,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,1,4,2,5,3] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,6,1,4,3,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,1,4,3,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,1,4,5,2,3] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,6,1,4,5,3,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,6,1,5,2,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,1,5,2,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,1,5,3,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,1,5,3,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,1,5,4,2,3] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,6,1,5,4,3,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,2,1,3,4,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,2,1,3,5,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,2,1,4,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,2,1,4,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,2,1,5,3,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,6,2,1,5,4,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,2,3,1,4,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,2,3,1,5,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,2,3,4,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,2,3,4,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,2,3,5,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,2,3,5,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,2,4,1,3,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,6,2,4,1,5,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,2,4,3,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,2,4,3,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,2,4,5,1,3] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,6,2,4,5,3,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,6,2,5,1,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,2,5,1,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,2,5,3,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,2,5,3,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,2,5,4,1,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,2,5,4,3,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,6,3,1,2,4,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,3,1,2,5,4] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,6,3,1,4,2,5] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,3,1,4,5,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,3,1,5,2,4] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,6,3,1,5,4,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,6,3,2,1,4,5] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[.,.]],.] => 3

[7,6,3,2,1,5,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,3,2,4,1,5] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,3,2,4,5,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,3,2,5,1,4] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,6,3,2,5,4,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,6,3,4,1,2,5] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,6,3,4,1,5,2] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,6,3,4,2,1,5] => [5,1,1] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => 5

[7,6,3,4,2,5,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,.]]],.]] => 2

[7,6,3,4,5,1,2] => [4,1,1,1] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => 4

[7,6,3,4,5,2,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,.]]]],.] => 3

[7,6,3,5,1,2,4] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,3,5,1,4,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,3,5,2,1,4] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,3,5,2,4,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,3,5,4,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,3,5,4,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,6,4,1,2,3,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,4,1,2,5,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,4,1,3,2,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,4,1,3,5,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,4,1,5,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,4,1,5,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,4,2,1,3,5] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,4,2,1,5,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,4,2,3,1,5] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,4,2,3,5,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,4,2,5,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,4,2,5,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,4,3,1,2,5] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,6,4,3,1,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,4,3,2,1,5] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,4,3,2,5,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,6,4,3,5,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,4,3,5,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[7,6,4,5,1,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,4,5,1,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,4,5,2,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,4,5,2,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,4,5,3,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,4,5,3,2,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,6,5,1,2,3,4] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,5,1,2,4,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,5,1,3,2,4] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,6,5,1,3,4,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,5,1,4,2,3] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,5,1,4,3,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,5,2,1,3,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,5,2,1,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,5,2,3,1,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,5,2,3,4,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,6,5,2,4,1,3] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,5,2,4,3,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,5,3,1,2,4] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,5,3,1,4,2] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,5,3,2,1,4] => [7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 7

[7,6,5,3,2,4,1] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[[[.,.],.],.]]]] => 4

[7,6,5,3,4,1,2] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [.,[[[.,[.,.]],.],.]] => 2

[7,6,5,3,4,2,1] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[[.,.],.],.],.]] => 2

[7,6,5,4,1,2,3] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,5,4,1,3,2] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,5,4,2,1,3] => [6,1] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

[7,6,5,4,2,3,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,5,4,3,1,2] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[[.,.],[.,.]],.]]] => 3

[7,6,5,4,3,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[.,.]],.] => 4

[8,7,6,5,4,3,2,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,8,6,5,4,3,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,7,5,4,3,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,8,5,4,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,5,4,3,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,5,6,4,3,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,5,6,4,3,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,5,7,4,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,6,7,4,3,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,5,8,4,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,6,8,4,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,8,4,3,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,4,5,3,2,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,6,4,5,3,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,7,4,5,3,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,5,4,6,3,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,4,5,6,3,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,5,4,7,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,6,4,7,3,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,4,5,7,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,5,6,7,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,5,4,8,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,4,8,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,7,4,8,3,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,4,5,8,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,4,6,8,3,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,4,7,8,3,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,5,7,8,3,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,6,7,8,3,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,6,7,8,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,5,3,4,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,6,5,3,4,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,7,5,3,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,6,3,4,2,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,8,5,6,3,4,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,6,7,3,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,8,3,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,8,3,4,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,4,3,5,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,6,4,3,5,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,7,4,3,5,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,8,4,3,5,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,3,4,5,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,6,3,4,5,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,7,3,4,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,3,4,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,4,3,6,2,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,5,4,3,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,4,5,3,6,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,5,3,4,6,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,4,3,5,6,2,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,7,3,4,5,6,2,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,6,5,4,3,7,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,4,3,5,7,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,4,3,6,7,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,3,4,6,7,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,3,5,6,7,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,4,5,6,7,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,4,3,8,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,5,4,3,8,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,7,4,3,8,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,4,5,3,8,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,5,6,3,8,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,7,3,8,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,5,7,3,8,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,6,7,3,8,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,5,3,4,8,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,4,3,5,8,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,4,3,6,8,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,7,8,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,4,5,7,8,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,5,6,7,8,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,5,4,2,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,6,5,4,2,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,5,4,2,3,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,6,8,5,4,2,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,5,6,4,2,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,7,4,2,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,5,8,4,2,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,8,4,2,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,4,5,2,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,7,4,5,2,3,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,6,8,4,5,2,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,5,4,6,2,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,4,5,6,2,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,4,7,2,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,6,4,7,2,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,4,5,7,2,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,5,6,7,2,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,5,4,8,2,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,7,4,8,2,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,5,3,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,5,3,2,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,8,5,3,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,6,3,2,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,5,7,3,2,4,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,5,6,7,3,2,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,5,8,3,2,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,5,8,3,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,8,3,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,5,2,3,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,7,5,2,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,5,2,3,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,5,6,2,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,7,2,3,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,6,7,2,3,4,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,6,5,8,2,3,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,7,8,2,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,4,3,2,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,7,4,3,2,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,8,4,3,2,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,3,4,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,3,4,2,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,8,3,4,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,4,2,3,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,6,3,2,4,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,6,3,2,4,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,7,3,2,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,3,2,4,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,6,2,3,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,2,3,4,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,8,2,3,4,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,4,3,2,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,5,3,4,2,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,5,3,4,2,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,4,3,5,2,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,4,3,5,2,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,4,2,3,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,3,2,4,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,4,3,2,5,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,4,3,2,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,2,3,4,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,4,3,2,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,5,6,4,3,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,4,5,3,2,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,4,6,3,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,5,3,4,2,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,6,3,4,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,4,3,5,2,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,6,3,4,5,2,7,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,5,4,3,6,2,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,5,3,6,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,3,5,6,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,4,5,6,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,5,3,2,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,4,3,2,5,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,4,2,3,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,2,3,4,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,3,2,6,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,5,3,4,2,6,7,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,3,4,5,2,6,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,4,2,3,6,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,5,2,3,6,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,4,3,2,5,6,7,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,3,4,2,5,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,2,3,5,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,3,2,4,5,6,7,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,6,5,4,3,2,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,5,4,3,2,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,4,3,2,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,7,4,3,2,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,5,3,2,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,4,5,3,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,5,6,3,2,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,5,7,3,2,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,7,3,2,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,5,3,4,2,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,6,3,4,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,4,3,5,2,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,3,4,5,2,8,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,5,4,3,6,2,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,5,3,6,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,4,5,6,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,4,3,7,2,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,3,7,2,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,3,4,7,2,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,3,6,7,2,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,5,6,7,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,5,4,2,3,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,6,4,2,3,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,7,4,2,3,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,5,2,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,4,6,2,3,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,5,6,2,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,4,7,2,3,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,7,2,3,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,7,2,3,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,5,3,2,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,7,3,2,4,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,2,3,4,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,6,2,3,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,7,2,3,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,4,3,2,5,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,2,3,5,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,3,2,4,5,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,2,3,4,5,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,4,3,2,6,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,4,3,5,2,6,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,4,2,3,6,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,5,2,3,6,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,3,2,4,6,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,2,3,4,6,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,3,2,5,6,8,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,2,4,5,6,8,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,4,3,2,7,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,6,3,2,7,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,4,5,2,7,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,5,6,2,7,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,4,2,3,7,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,5,2,3,7,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,3,2,4,7,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,2,3,4,7,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,3,2,6,7,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,4,2,6,7,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,5,2,6,7,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,2,3,6,7,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,2,4,6,7,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,5,6,7,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,5,4,3,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,6,5,4,3,1,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,6,7,5,4,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,5,4,3,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,8,5,4,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,6,4,3,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,5,6,4,3,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,5,8,4,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,8,4,3,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,4,5,3,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,6,4,5,3,1,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,7,5,4,6,3,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,4,7,3,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,6,7,3,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,5,4,8,3,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,4,8,3,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,7,4,8,3,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,4,5,8,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,7,8,3,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,6,7,8,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,7,8,3,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,6,5,3,4,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,6,5,3,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,8,5,3,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,6,3,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,5,6,3,4,1,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,6,5,7,3,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,8,3,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,5,8,3,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,6,8,3,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,8,3,4,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,3,4,5,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,6,3,4,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,5,4,3,6,1,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,7,4,5,3,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,4,5,3,6,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,4,3,5,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,4,3,5,6,1,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,3,4,5,6,1,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,6,5,4,3,7,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,3,6,7,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,4,3,8,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,6,7,4,3,8,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,4,5,3,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,4,6,3,8,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,4,7,3,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,6,7,3,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,5,3,4,8,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,4,3,6,8,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,5,3,6,8,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,4,6,8,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,4,5,6,8,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,7,8,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,3,7,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,3,4,7,8,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,3,6,7,8,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,4,6,7,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,5,6,7,8,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,5,4,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,5,4,2,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,7,5,4,2,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,8,5,4,2,1,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,7,8,5,4,2,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,5,6,4,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,8,4,2,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,5,8,4,2,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,7,8,4,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,4,5,2,1,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,4,5,6,7,2,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,5,4,8,2,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,5,6,8,2,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,6,7,8,2,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,6,5,4,1,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,6,5,4,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,5,4,1,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,8,5,4,1,2,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,5,6,7,4,1,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,5,8,4,1,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,5,8,4,1,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,7,8,4,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,4,5,1,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,8,4,5,1,2,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,7,5,4,6,1,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,4,5,6,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,6,4,7,1,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,4,6,7,1,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,5,4,8,1,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,7,4,8,1,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,5,8,1,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,4,7,8,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,7,8,1,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,6,5,3,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,5,3,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,5,3,2,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,8,5,3,2,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,5,6,3,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,5,6,3,2,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,5,7,3,2,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,6,7,3,2,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,5,8,3,2,1,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,7,5,8,3,2,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,6,8,3,2,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,7,8,3,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,8,3,2,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,5,2,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,5,2,3,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,8,5,2,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,5,6,2,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,6,7,2,3,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,5,8,2,3,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,5,8,2,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,6,8,2,3,1,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,6,7,8,2,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,5,3,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,5,3,1,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,5,6,3,1,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,5,7,3,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,8,3,1,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,5,8,3,1,2,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,5,7,8,3,1,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,7,8,3,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,5,2,1,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,8,5,2,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,6,2,1,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,6,7,2,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,8,2,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,5,8,2,1,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,6,8,2,1,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,7,8,2,1,3,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,6,7,8,2,1,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,5,1,2,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,7,5,1,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,8,5,1,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,5,6,1,2,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,5,7,1,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,8,1,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,5,8,1,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,6,8,1,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,8,1,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,7,8,1,2,3,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,8,6,4,3,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,7,4,3,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,8,4,3,2,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,6,3,4,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,4,2,3,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,8,4,2,3,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,3,2,4,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,7,2,3,4,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,8,2,3,4,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,6,4,3,1,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,8,4,3,1,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,6,3,4,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,3,4,1,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,6,4,2,1,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,7,4,2,1,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,8,4,2,1,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,4,1,2,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,8,4,1,2,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,6,3,2,1,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,7,3,2,1,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,8,3,2,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,2,3,1,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,8,2,3,1,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,6,3,1,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,8,3,1,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,2,1,3,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,7,2,1,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,8,2,1,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,6,1,2,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,1,2,3,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,8,1,2,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,4,3,2,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,5,4,3,2,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,4,5,3,2,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,3,4,2,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,3,4,5,2,1,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,8,4,5,2,3,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,4,3,2,5,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,4,3,2,5,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,3,4,2,5,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,3,4,5,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,4,3,1,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,5,4,3,1,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,3,4,1,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,3,4,5,1,2,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,8,5,4,1,2,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,4,5,1,2,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,3,2,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,3,1,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,2,1,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,1,2,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,4,3,2,1,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,4,3,2,1,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,4,2,1,5,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,3,2,4,1,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,2,3,4,1,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,4,3,1,2,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,3,4,1,2,5,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,4,2,1,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,4,1,2,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,3,2,1,4,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,2,3,1,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,2,1,3,4,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,1,2,3,4,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,5,4,3,2,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,6,4,3,2,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,5,6,3,2,1,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,5,3,4,2,1,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,6,3,4,2,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,5,3,6,2,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,3,5,6,2,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,4,5,6,2,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,5,4,2,3,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,4,2,3,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,5,6,2,3,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,5,3,2,4,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,5,2,3,4,1,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,6,2,3,4,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,4,2,3,5,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,3,2,4,5,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,4,3,2,6,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,3,5,2,6,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,4,2,3,6,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,5,2,3,6,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,3,2,4,6,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,2,3,4,6,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,4,2,5,6,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,5,4,3,1,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,5,3,4,1,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,6,4,2,1,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,5,4,1,2,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,4,5,1,2,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,5,6,1,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,6,3,2,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,2,3,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,6,2,1,3,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,1,2,3,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,6,1,2,3,4,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,4,3,2,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,4,3,1,2,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,3,4,1,2,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,4,2,1,3,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,3,2,1,4,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,2,3,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,4,3,2,1,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,5,3,2,1,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,3,5,2,1,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,4,5,2,1,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,5,2,3,1,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,2,3,4,1,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,2,3,5,1,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,4,1,2,3,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,3,1,2,4,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,2,1,3,4,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,3,2,1,5,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,4,2,1,5,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,2,3,1,5,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,2,3,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,1,4,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,4,3,2,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,7,5,4,3,2,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,6,4,3,2,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,7,4,3,2,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,4,5,3,2,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,4,6,3,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,4,7,3,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,7,3,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,5,3,4,2,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,5,3,4,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,6,3,4,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,7,3,4,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,3,5,2,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,7,4,3,5,2,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,3,4,5,2,1,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,5,4,3,6,2,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,4,5,6,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,3,7,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,4,3,7,2,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,6,3,7,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,3,6,7,2,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,5,6,7,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,5,4,2,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,6,4,2,3,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,6,4,5,2,3,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,4,6,2,3,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,4,7,2,3,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,6,7,2,3,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,7,2,3,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,5,3,2,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,7,3,2,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,5,2,3,4,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,5,2,3,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,2,3,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,7,2,3,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,4,3,2,5,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,4,3,2,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,2,3,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,2,4,5,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,2,3,4,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,4,3,2,6,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,4,5,3,2,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,3,4,2,6,1,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,4,3,5,2,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,4,5,2,3,6,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,5,3,2,4,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,4,2,3,5,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,4,3,2,7,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,6,4,3,2,7,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,4,5,2,7,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,3,6,2,7,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,5,6,2,7,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,6,2,3,7,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,2,4,7,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,2,3,5,7,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,3,2,4,5,7,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,4,3,2,6,7,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,5,2,6,7,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,3,6,7,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,2,5,6,7,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,5,4,3,1,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,6,7,3,1,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,5,3,4,1,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,7,3,4,1,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,4,5,1,2,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,5,4,3,7,1,2,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,5,3,7,1,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,6,7,1,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,7,4,2,1,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,5,6,7,2,1,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,5,4,1,2,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,7,4,1,2,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,6,4,7,1,2,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,6,7,1,2,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,5,2,3,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,5,2,3,1,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,7,2,3,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,7,3,1,2,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,5,2,1,3,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,6,2,1,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,7,2,1,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,5,1,2,3,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,7,1,2,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,3,2,1,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,3,4,2,1,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,7,3,2,4,1,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,2,3,4,1,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,3,1,2,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,4,2,1,3,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,3,2,1,4,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,6,2,3,1,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,3,1,2,4,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,6,1,2,3,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,4,3,2,1,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,4,2,3,1,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,3,2,4,1,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,2,3,4,1,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,2,3,5,1,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,4,3,1,2,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,5,2,1,3,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,3,1,2,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,3,2,1,5,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,1,2,3,5,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,1,4,5,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,3,2,1,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,6,4,3,2,1,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,6,3,2,1,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,3,4,2,1,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,4,6,2,3,1,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,2,3,4,1,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,2,5,1,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,4,3,2,6,1,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,5,2,6,1,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,2,4,6,1,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,2,5,6,1,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,4,3,1,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,4,3,1,2,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,4,6,3,1,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,4,1,2,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,4,3,6,1,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,5,6,1,2,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,4,2,1,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,5,2,1,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,6,2,1,3,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,5,4,1,2,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,6,1,2,3,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,6,3,2,1,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,3,2,1,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,1,2,3,5,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,3,2,1,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,3,4,2,1,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,5,2,1,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,4,2,3,1,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,2,4,1,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,3,2,5,1,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,5,1,2,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,5,2,1,3,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,4,1,2,3,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,2,1,4,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,2,1,5,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,4,1,2,5,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => 2

[6,8,7,5,4,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,6,4,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,8,7,4,3,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,6,8,4,3,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,8,6,5,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,5,8,7,3,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,6,8,7,3,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,6,4,8,3,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,6,5,8,3,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,5,8,3,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,7,6,8,3,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,7,6,5,4,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,8,6,5,4,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,8,7,5,4,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,6,8,5,4,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,8,7,6,4,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,6,8,7,4,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,6,5,8,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,7,6,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,7,8,6,5,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,8,7,6,5,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,6,7,8,5,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,3,7,8,6,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,5,4,3,8,7,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,4,3,8,7,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,5,4,8,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,6,5,8,7,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,3,6,8,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,5,6,8,7,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,6,4,3,8,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,5,3,8,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,6,5,4,8,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,7,6,5,8,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,7,5,8,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,5,7,8,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,7,6,5,4,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,8,6,5,4,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,7,8,5,4,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,7,5,8,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,6,7,8,4,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,8,7,6,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,7,8,6,5,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,6,8,7,5,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,4,7,8,6,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,6,4,8,7,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,6,5,8,7,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,5,4,8,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,7,6,5,8,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,4,7,6,8,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,5,6,7,8,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,8,7,6,5,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,7,8,6,5,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,5,7,6,8,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,8,7,6,5,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,3,6,7,8,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,5,7,8,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,5,6,8,7,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,2,8,7,6,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,2,7,8,6,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,3,6,7,8,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,4,8,7,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,8,7,6,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,6,7,8,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,3,2,8,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,3,2,7,8,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,2,7,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,4,3,8,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,4,3,7,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,5,3,8,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,5,4,8,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,5,8,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,2,5,7,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,2,5,8,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,4,5,8,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,2,8,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,6,3,2,8,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,6,4,2,8,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,3,6,2,8,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,5,4,3,8,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,5,6,3,8,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,6,5,4,8,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,6,5,8,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,3,2,6,8,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,5,6,8,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,7,5,3,2,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,7,3,2,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,7,6,4,2,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,6,7,5,2,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,6,5,2,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,4,7,6,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,5,3,7,2,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,5,4,7,2,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,6,5,7,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,5,4,3,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,6,7,5,3,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,5,7,3,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,4,6,7,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,7,6,5,4,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,7,6,5,4,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,5,6,7,4,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,4,7,6,5,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,3,2,7,6,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,5,7,6,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,6,5,2,7,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,5,4,3,7,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,5,6,3,7,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,6,5,4,7,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,6,5,7,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,6,5,4,3,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,8,6,5,4,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,7,8,5,4,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,5,8,7,4,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,7,5,8,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,6,8,4,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,6,7,8,4,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,8,7,6,5,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,8,6,5,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,6,8,7,5,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,4,7,8,6,3,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,6,5,4,8,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,6,5,8,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,5,4,7,8,3,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,5,6,7,8,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,8,7,6,5,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,7,8,6,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,6,7,8,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,5,7,8,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,5,6,8,7,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,6,7,5,8,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,5,7,8,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,3,8,7,6,5,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,4,8,7,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,4,6,7,8,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,4,3,8,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,5,3,8,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,3,5,8,7,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,4,5,8,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,4,3,8,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,6,5,4,8,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,6,5,4,3,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,7,5,4,3,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,6,7,4,3,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,6,7,5,3,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,6,4,7,3,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,5,7,3,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,4,6,7,3,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,5,6,7,4,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,4,7,6,5,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,4,3,6,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,7,6,5,4,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,7,8,6,5,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,8,7,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,6,8,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,7,8,5,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,5,8,7,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,7,8,6,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,6,5,8,7,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,6,8,7,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,7,6,5,8,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,7,5,8,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,5,7,6,8,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,5,7,8,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,6,7,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,8,7,6,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,7,8,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,6,8,7,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,4,8,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,5,4,7,8,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,5,8,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,4,5,7,8,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,6,4,8,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,6,5,8,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,5,6,8,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,6,5,4,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,6,7,5,4,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,7,6,4,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,5,7,4,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,6,7,4,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,4,7,6,5,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,4,6,7,5,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,4,7,6,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,5,6,4,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,4,6,7,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,5,6,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,8,7,6,5,4,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,7,8,6,5,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,6,7,8,5,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,6,8,7,4,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,5,7,6,8,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,6,5,7,8,4,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,4,8,7,6,5,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,6,7,8,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,4,8,7,6,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,5,8,7,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,6,5,4,8,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,7,6,5,4,8,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,5,6,7,4,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,4,7,6,5,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,6,5,4,7,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,8,7,6,5,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,1,7,8,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,6,8,7,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,6,7,8,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,1,5,7,8,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,6,5,8,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,7,6,5,8,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,1,5,6,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,8,7,6,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,1,7,8,6,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,6,8,7,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,1,7,6,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,1,6,7,8,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,1,5,7,8,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,1,6,5,8,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,1,7,6,5,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,1,6,7,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,1,5,7,6,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,5,6,7,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,2,8,7,6,5,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,6,8,7,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,7,6,8,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,5,8,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,2,5,7,8,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,7,6,5,8,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,2,6,7,5,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,6,5,7,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,5,6,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,3,8,7,6,5,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,3,7,8,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,6,8,7,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,3,6,7,8,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,3,5,6,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,3,8,7,6,5,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,6,7,8,5,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,3,5,8,7,6,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,3,7,6,5,8,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,2,1,8,7,6,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,3,2,1,7,8,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,2,1,7,6,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,2,1,6,7,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,2,1,8,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,2,1,7,8,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,2,1,6,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,2,1,7,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,2,1,6,7,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,3,1,8,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,3,1,7,8,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,3,1,6,8,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,3,1,7,6,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,3,1,6,7,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,4,1,8,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,4,1,7,8,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,4,1,6,8,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,4,1,7,6,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,4,1,6,7,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,1,8,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,3,4,1,7,8,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,4,1,6,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,1,7,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,1,6,7,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,4,3,2,8,7,6,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,3,2,6,8,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,3,2,7,6,8,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,3,2,6,7,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,4,2,8,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,4,2,7,8,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,4,2,6,8,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,4,2,7,6,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,4,2,6,7,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,3,8,7,6,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,4,3,7,8,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,4,3,6,8,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,3,7,6,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,3,6,7,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,2,4,3,8,7,6,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,4,3,7,8,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,4,3,6,8,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,3,7,6,8,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,3,6,7,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,4,8,7,6,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,1,4,7,8,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,4,6,8,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,4,7,6,8,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,4,6,7,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,1,4,8,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,1,4,7,8,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,4,7,6,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,1,4,6,7,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,4,8,7,6,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,4,6,8,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,4,7,6,8,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,4,6,7,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,4,8,7,6,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,3,4,7,8,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,4,7,6,8,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,3,4,6,7,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,3,4,8,7,6,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,4,3,2,1,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,4,3,2,1,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,3,2,1,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,4,2,1,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,4,2,1,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,5,2,1,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,2,1,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,4,3,1,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,4,3,1,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,5,3,1,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,5,3,1,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,5,4,1,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,5,4,1,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,5,4,1,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,5,1,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,2,5,1,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,2,5,1,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,2,5,1,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,3,5,1,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,3,5,1,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,4,5,1,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,5,1,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,5,1,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,4,3,2,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,4,3,2,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,5,3,2,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,5,3,2,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,5,4,2,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,4,5,2,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,4,5,2,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,5,3,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,5,4,3,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,5,4,3,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,5,3,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,5,3,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,2,5,4,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,5,4,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,3,5,4,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,3,5,4,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,3,5,4,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,5,4,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,2,1,5,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,4,1,5,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,4,1,5,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,4,1,5,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,1,5,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,3,2,5,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,4,3,2,5,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,4,2,5,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,4,3,5,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,4,3,5,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,4,3,5,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,4,5,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,2,1,4,5,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,4,5,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,2,4,5,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,3,2,4,5,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,3,4,5,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,3,4,5,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,4,3,2,1,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,6,4,3,2,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,5,3,2,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,3,2,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,3,2,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,5,4,2,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,6,4,2,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,6,5,2,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,6,5,2,1,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,3,6,2,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,3,6,2,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,5,6,2,1,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,5,6,2,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,5,4,3,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,6,4,3,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,5,3,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,5,6,4,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,6,5,4,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,3,5,6,4,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,6,5,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,2,6,5,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,3,6,5,1,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,3,2,6,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,4,2,6,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,5,2,6,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,2,6,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,4,3,6,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,5,3,6,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,5,4,6,1,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,5,6,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,2,5,6,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,3,5,6,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,5,6,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,5,4,3,2,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,6,4,3,2,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,6,3,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,6,5,4,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,4,5,6,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,5,4,3,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,5,6,4,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,4,6,5,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,5,4,6,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,5,6,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,2,4,5,6,3,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,6,5,4,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,3,1,6,5,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,2,6,5,4,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,5,6,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,3,5,6,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,3,6,5,4,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,5,6,4,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,2,1,6,5,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,4,2,1,6,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,3,1,6,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,4,1,6,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,4,1,6,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,3,4,2,6,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,3,6,5,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[1,2,4,3,6,5,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,3,1,4,6,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,2,4,6,5,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,3,4,6,5,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,4,3,2,1,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,5,3,2,1,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,4,2,1,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,2,1,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,2,1,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,4,3,1,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,5,3,1,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,5,4,1,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,5,4,1,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,3,5,1,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,5,1,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,5,3,2,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,5,4,2,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,5,4,3,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,4,5,3,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,5,4,3,6,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,3,5,4,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,3,2,1,5,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,4,1,5,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,4,1,5,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,3,2,5,6,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,3,4,2,5,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,4,3,5,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,2,1,4,5,6,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,3,1,4,5,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,6,7,5,3,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,7,6,3,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,5,7,3,2,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,7,6,4,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,6,5,2,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,4,7,6,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,6,5,7,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,6,5,4,3,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,7,5,4,3,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,6,7,4,3,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,7,5,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,6,4,7,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,4,6,7,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,7,6,5,4,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,5,6,7,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,7,6,5,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,5,6,7,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,6,7,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,2,7,6,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,7,6,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,3,2,7,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,5,2,7,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,5,7,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,6,4,2,7,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,4,6,2,7,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,6,5,4,7,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,6,5,7,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,4,3,6,7,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,6,5,4,3,2,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,6,7,5,4,3,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,6,7,4,3,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,7,5,3,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,6,4,7,3,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,6,5,7,3,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,6,7,3,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,5,6,7,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,5,4,7,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,3,6,7,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,7,6,5,4,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,5,6,7,4,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,5,4,6,7,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,5,6,7,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,7,6,5,4,3,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,5,6,7,4,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,7,6,5,4,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,1,5,7,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,6,5,7,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,6,7,5,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,6,5,7,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,1,5,6,7,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,7,6,5,4,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,6,7,5,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,5,7,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,6,5,7,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,5,6,7,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,6,7,5,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,3,7,6,5,4,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,3,2,1,7,6,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,4,1,7,6,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,4,1,6,7,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,4,1,7,6,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,1,6,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,3,2,7,6,5,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,4,3,2,6,7,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,4,2,6,7,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,4,3,6,7,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,4,3,6,7,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,4,7,6,5,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,3,1,4,6,7,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,2,4,7,6,5,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,4,3,2,1,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,5,3,2,1,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,4,2,1,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,2,1,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,4,3,1,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,5,3,1,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,5,4,1,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,5,4,1,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,2,5,1,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,3,5,1,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,5,1,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,4,3,2,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,5,3,2,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,5,4,2,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,3,5,2,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,4,5,2,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,4,5,3,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,5,4,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,3,1,5,4,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,2,5,4,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,2,4,1,5,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,4,1,5,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,3,2,5,7,6,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,3,4,2,5,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,2,1,4,5,7,6,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,3,1,4,5,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,3,4,5,7,6,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,4,5,6,3,1,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,6,5,1,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,6,5,4,3,2,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,4,5,6,3,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,4,3,6,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,5,6,4,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,6,5,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,6,5,4,3,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,2,1,6,5,4,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,3,1,6,5,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,5,6,4,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,2,6,5,4,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,3,2,5,6,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,2,1,6,5,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,4,1,6,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,4,1,6,5,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,3,6,5,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,3,4,6,5,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,5,4,3,1,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,4,3,2,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,5,4,3,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,4,5,3,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,5,4,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,3,1,5,4,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,3,5,4,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,4,3,5,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,8,5,7,6,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,8,6,5,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,8,6,7,5,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,3,8,6,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,4,8,6,5,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,8,4,6,7,5,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,8,4,7,6,5,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,8,5,4,6,7,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,8,5,4,7,6,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,8,5,6,4,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,8,5,6,7,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,8,6,5,4,7,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,8,6,5,7,4,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,8,7,5,6,4,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,3,2,4,8,6,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,3,2,7,5,6,8,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,8,5,7,6,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,8,6,5,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,8,6,7,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,4,2,8,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,6,4,5,2,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,8,4,6,5,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,8,4,6,7,5,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,8,5,4,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,8,5,4,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,8,5,6,7,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,8,5,7,6,4,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,8,6,5,7,4,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,8,7,5,6,4,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,3,2,8,6,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,4,3,8,5,7,6,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,3,4,2,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,3,4,2,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,5,3,4,6,2,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,3,4,6,7,5,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,3,4,7,6,5,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,3,5,4,2,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,3,5,4,8,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,3,5,4,6,2,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,3,5,4,6,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,3,5,4,7,6,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,8,3,5,6,4,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,3,5,6,7,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,3,5,7,6,4,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,3,6,5,4,8,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,3,6,5,4,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,3,7,5,6,4,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,3,7,6,5,4,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,6,4,3,5,2,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,4,3,5,8,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,4,3,5,6,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,4,3,5,7,6,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,4,3,6,5,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,4,3,6,5,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,6,4,5,3,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,6,4,5,3,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,4,5,3,6,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,4,5,3,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,4,5,6,3,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,5,6,7,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,4,6,5,3,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,4,6,5,7,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,4,7,6,5,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,5,4,3,6,2,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,5,4,3,6,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,5,4,3,7,6,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,8,5,4,6,3,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,5,4,6,7,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,5,4,7,6,3,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,6,4,5,3,2,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,6,4,5,3,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,6,4,5,7,3,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,7,4,5,6,3,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,8,7,4,6,5,3,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,8,6,5,4,3,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,8,6,5,4,7,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,7,5,4,6,3,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,8,7,5,6,4,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,3,4,8,6,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,3,5,8,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,3,8,5,6,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,3,8,5,7,6,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,3,8,6,7,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,3,8,6,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,4,5,8,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,8,5,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,4,8,5,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,8,6,5,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,8,6,7,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,4,8,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,6,4,5,3,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,6,4,5,7,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,6,4,5,8,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,8,4,5,6,7,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,1,8,4,5,7,6,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,7,4,6,5,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,4,6,5,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,8,4,6,7,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,4,7,6,5,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,8,5,4,7,6,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,7,5,6,4,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,8,5,6,4,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,5,6,7,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,5,7,6,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,6,5,4,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,8,6,5,7,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,7,5,6,4,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,3,1,7,5,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,8,5,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,8,6,7,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,4,1,8,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,8,5,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,8,6,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,8,6,7,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,6,4,5,1,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,7,4,6,5,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,8,4,6,7,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,7,5,4,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,7,5,4,6,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,7,5,6,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,7,5,6,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,8,5,6,7,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,8,5,7,6,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,3,8,6,5,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,3,4,1,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,5,3,4,8,7,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,3,4,5,7,6,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,3,5,4,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,3,5,4,7,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,3,5,4,6,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,3,5,4,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,3,5,6,4,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,3,5,6,7,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,3,5,7,6,4,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,7,3,6,5,4,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,8,3,7,5,6,4,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,8,3,7,6,5,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,4,3,8,6,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,4,3,5,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,4,3,5,7,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,4,3,5,8,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,4,3,5,6,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,4,3,5,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,8,4,3,5,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,4,3,6,5,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,8,4,3,6,5,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,4,3,6,7,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,4,3,7,6,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,4,5,3,7,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,4,5,6,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,4,5,6,3,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,4,5,6,3,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,4,5,6,7,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,4,6,5,3,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,4,6,5,3,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,8,4,7,6,5,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,5,4,3,6,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,5,4,3,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,8,5,4,3,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,5,4,6,3,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,4,6,7,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,4,7,6,3,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,7,6,4,5,3,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,7,4,5,6,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,8,7,4,6,5,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,7,5,4,6,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,7,5,6,4,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,2,1,4,8,6,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,2,1,5,8,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,7,5,6,4,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,2,1,8,5,6,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,2,1,8,5,7,6,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,1,8,6,5,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,1,8,6,7,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,4,1,8,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,4,8,6,7,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,6,4,5,1,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,7,4,6,5,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,7,4,6,5,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,8,4,6,5,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,7,5,4,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,8,5,4,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,8,5,4,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,7,5,6,4,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,7,5,6,4,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,8,5,6,4,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,8,5,7,6,4,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,8,7,5,6,4,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,3,1,5,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,3,1,5,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,2,3,1,6,5,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,2,3,1,6,5,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,2,3,1,6,7,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,3,1,6,8,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,3,1,7,6,5,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,2,3,1,7,6,8,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,3,1,8,6,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,2,3,1,8,7,6,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,2,3,5,1,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,3,5,1,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,3,5,1,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,3,5,6,1,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,3,8,5,7,6,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,3,4,1,6,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,2,3,4,1,7,8,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,3,4,1,8,7,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,2,3,4,6,1,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,3,4,8,7,6,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,3,4,5,1,8,7] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,3,4,5,7,6,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,2,3,4,6,5,1,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,3,4,7,6,5,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,2,3,5,4,1,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,2,3,5,4,1,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,2,3,5,4,7,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,3,5,4,6,1,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,3,5,4,6,7,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,3,5,4,7,6,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,3,5,6,4,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,2,3,5,6,7,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,3,5,7,6,4,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,3,6,5,4,1,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,3,7,5,6,4,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,3,7,6,5,4,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,4,3,1,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,2,4,3,1,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,4,3,1,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,4,3,1,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,4,3,6,1,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,4,3,6,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,4,3,7,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,4,3,7,6,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,4,3,5,1,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,4,3,6,5,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,4,3,6,5,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,4,3,6,5,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,2,4,3,6,7,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,4,3,7,6,5,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,4,5,3,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,4,5,3,6,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,4,5,3,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,4,5,6,7,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,4,5,7,6,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,4,6,5,3,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,4,7,5,6,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,2,4,7,6,5,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,5,4,3,1,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,2,5,4,3,1,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,2,5,4,3,7,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,5,4,3,6,1,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,5,4,3,6,7,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,5,4,3,7,6,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,6,4,5,3,1,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,2,6,4,5,3,8,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,2,6,4,5,3,7,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,6,4,5,7,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,2,7,4,5,6,3,1] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,7,4,6,5,3,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,6,5,4,3,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,2,6,5,4,3,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,2,6,5,4,7,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,7,5,4,6,3,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,2,7,5,6,4,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,7,6,5,4,3,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,3,2,1,8,6,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,3,2,7,5,6,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,8,5,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,2,8,5,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,2,8,6,7,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,2,4,1,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,2,4,1,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,2,4,1,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,2,4,6,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,4,7,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,3,2,4,6,5,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,3,2,4,7,6,5,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,3,2,5,4,1,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,3,2,5,4,7,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,2,5,4,7,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,2,5,4,6,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,3,2,5,4,7,6,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,3,2,5,6,4,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,2,5,6,7,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,5,7,6,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,2,6,5,7,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,2,7,5,6,4,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,3,2,7,6,5,4,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,3,4,2,1,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,4,2,1,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,4,2,1,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,4,2,6,1,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,4,2,7,6,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,4,2,7,6,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,4,2,8,6,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,3,4,2,5,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,4,2,6,5,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,4,5,2,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,4,5,2,8,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,4,5,2,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,4,5,7,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,4,7,6,5,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,5,4,2,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,5,4,2,7,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,3,5,4,2,7,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,5,4,2,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,3,5,4,2,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,5,4,6,2,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,4,6,7,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,5,4,7,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,6,4,5,2,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,6,4,5,2,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,3,6,4,5,2,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,3,7,4,5,6,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,3,7,4,6,5,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,6,5,4,2,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,6,5,4,2,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,6,5,4,2,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,6,5,4,7,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,7,5,6,4,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,7,6,5,4,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,3,2,8,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,3,2,5,1,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,4,3,2,5,8,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,3,2,5,7,6,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,4,3,2,6,5,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,4,3,2,6,5,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,3,2,6,5,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,4,3,2,6,7,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,3,2,7,6,5,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,4,3,5,2,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,3,5,7,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,3,6,5,2,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,4,3,6,5,2,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,4,3,7,5,6,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,3,4,2,1,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,5,3,4,2,7,6,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,5,3,4,7,6,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,7,3,4,6,5,2,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,6,3,5,4,2,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,6,3,5,4,2,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,3,5,4,2,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,7,3,5,4,6,2,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,7,3,5,6,4,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,3,6,5,4,2,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,5,4,3,2,7,6,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,5,4,3,7,6,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,4,3,6,5,2,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,7,4,6,5,3,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,1,3,6,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,4,6,3,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,1,6,3,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,6,1,3,5,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,4,3,6,8,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,1,3,6,8,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,4,6,3,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,6,1,3,8,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,4,6,8,3,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,1,6,8,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,1,8,3,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,6,8,1,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,1,3,6,5,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,6,1,3,5,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,4,6,3,7,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,1,3,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,6,7,1,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,1,3,6,7,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,4,6,3,7,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,6,7,3,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,1,6,7,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,1,7,3,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,6,7,1,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,6,7,8,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,6,7,8,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,3,7,5,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,1,3,7,5,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,4,7,3,5,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,3,7,8,5,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,4,1,3,7,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,1,7,3,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,7,8,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,7,1,8,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,1,5,3,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,5,1,3,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,5,1,7,3,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,1,5,3,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,5,1,3,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,4,5,7,3,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,5,1,7,3,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,4,5,7,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,5,1,7,8,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,5,7,1,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,3,8,5,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,1,3,8,5,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,4,8,3,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,8,1,3,5,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,4,3,5,8,6,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,1,5,3,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,4,5,8,3,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,5,1,8,3,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,1,5,3,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,1,5,6,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,5,1,6,3,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,5,6,1,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,5,6,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,5,1,6,8,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,5,6,8,1,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,5,1,3,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,4,5,1,6,3,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,5,6,7,1,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,5,1,6,7,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,5,6,7,1,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,5,3,6,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,1,3,6,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,6,3,4,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,5,1,6,3,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,6,1,3,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,3,6,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,6,8,3,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,6,8,1,3,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,6,3,4,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,5,1,6,3,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,5,3,6,7,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,6,3,7,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,1,6,3,7,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,5,6,7,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,6,1,7,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,3,6,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,6,3,7,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,1,6,3,7,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,5,6,7,3,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,6,7,1,3,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,6,7,8,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,5,1,6,7,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,6,7,1,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,5,3,7,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,7,3,4,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,1,7,3,4,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,5,3,7,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,1,3,7,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,7,3,8,4,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,5,7,8,3,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,1,7,8,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,7,8,1,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,5,7,3,4,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,5,1,4,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,5,7,1,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,5,7,1,4,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,1,5,7,8,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,5,7,1,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,3,5,7,8,1,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,3,8,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,8,3,4,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,1,8,3,4,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,5,1,4,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,3,5,8,4,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,5,8,1,4,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,5,3,4,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,5,1,6,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,5,6,1,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,3,5,6,8,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,5,6,8,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,5,6,1,8,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,5,3,4,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,5,6,1,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,5,6,1,7,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,5,6,7,8,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,3,7,4,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,1,3,7,4,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,7,3,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,7,1,3,4,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,6,3,7,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,7,8,3,4,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,6,1,7,8,3,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,7,1,8,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,3,7,4,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,7,1,3,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,6,4,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,6,3,4,7,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,3,6,7,4,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,3,6,7,8,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,6,7,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,6,7,1,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,6,7,8,1,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,3,8,4,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,1,3,8,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,8,3,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,8,1,3,4,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,6,3,4,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,1,6,4,8,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,1,6,8,4,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,6,1,8,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,3,4,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,1,3,4,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,3,6,4,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,6,1,4,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,4,1,6,8,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,4,6,8,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,3,6,4,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,6,4,5,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,4,6,7,1,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,3,8,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,8,3,4,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,1,8,3,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,7,3,4,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,3,7,4,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,1,7,4,8,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,7,1,4,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,3,7,8,4,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,7,8,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,7,8,1,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,7,3,4,5,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,1,7,4,5,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,3,4,7,5,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,1,7,5,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,3,4,7,8,5,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,3,1,4,7,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,4,1,7,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,3,4,7,1,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,3,4,5,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,3,4,7,5,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,4,7,5,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,4,1,7,5,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,5,7,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,3,4,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,3,8,4,5,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,8,4,5,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,3,4,8,5,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,1,4,8,5,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,1,8,5,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,3,4,5,8,6,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,4,5,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,4,1,5,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,5,1,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,4,2,6,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,2,6,5,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,1,4,6,2,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,1,6,2,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,6,1,2,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,4,2,6,8,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,1,2,6,8,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,6,2,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,4,6,8,2,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,6,8,2,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,1,4,2,6,5,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,1,2,6,5,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,1,4,2,6,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,2,6,7,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,6,2,7,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,4,2,6,7,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,1,2,6,7,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,6,2,7,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,4,6,7,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,6,7,2,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,6,1,7,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,6,7,8,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,6,7,1,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,6,7,8,1,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,1,4,2,7,5,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,1,2,7,5,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,4,2,7,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,2,7,8,5,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,4,7,8,1,2,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,1,4,2,7,5,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,2,7,5,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,2,5,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,1,4,5,2,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,5,2,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,5,7,2,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,7,1,2,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,4,2,5,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,2,5,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,4,5,2,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,5,1,2,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,5,7,2,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,4,5,7,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,1,5,7,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,5,1,7,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,7,1,8,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,5,7,8,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,4,2,8,5,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,1,2,8,5,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,8,2,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,4,2,5,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,2,5,8,6,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,5,2,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,1,5,8,2,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,8,1,2,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,2,5,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,4,5,1,2,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,4,5,6,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,1,5,6,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,5,1,6,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,6,1,2,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,1,5,6,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,6,1,8,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,5,2,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,1,5,6,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,1,5,6,7,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,6,1,7,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,5,6,7,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,6,1,7,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,5,2,6,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,2,6,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,5,6,2,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,6,2,4,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,5,6,1,2,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,2,6,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,5,6,2,8,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,1,6,8,2,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,8,1,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,5,6,2,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,6,2,4,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,5,6,1,2,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,2,6,7,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,6,2,7,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,6,1,2,7,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,6,7,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,6,7,1,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,2,6,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,5,6,2,7,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,1,6,2,7,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,6,1,2,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,6,7,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,7,1,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,5,6,7,8,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,1,6,7,8,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,6,1,7,8,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,6,7,8,1,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,1,2,7,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,5,7,2,4,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,7,1,2,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,5,2,7,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,2,7,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,5,7,2,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,7,2,8,4,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,1,5,7,8,2,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,7,8,2,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,2,7,4,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,7,2,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,1,7,2,4,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,7,1,2,4,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,2,4,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,2,4,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,2,5,4,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,5,2,4,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,5,7,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,5,7,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,5,7,2,4,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,1,2,4,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,1,2,5,7,4,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,5,7,2,4,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,5,7,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,5,2,7,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,5,7,2,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,5,7,8,2,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,2,8,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,5,8,2,4,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,1,8,2,4,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,5,2,4,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,2,5,4,8,6,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,5,2,4,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,5,8,4,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,2,5,8,4,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,5,8,2,4,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,1,2,4,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,2,5,4,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,5,2,4,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,5,2,6,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,5,6,2,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,2,5,6,8,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,5,6,2,8,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,1,2,4,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,5,6,2,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,5,6,2,7,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,2,5,6,7,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,5,6,2,7,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,5,6,7,8,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,6,2,7,4,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,1,2,7,4,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,1,7,2,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,2,7,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,6,7,2,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,7,2,8,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,7,1,2,8,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,1,7,8,2,4,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,6,7,8,1,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,6,2,7,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,1,2,4,7,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,6,4,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,6,4,7,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,6,7,4,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,6,2,7,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,1,2,4,7,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,2,6,4,7,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,2,6,7,4,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,3,2,6,7,4,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,6,2,7,4,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,6,7,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,2,6,7,8,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,6,7,8,2,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,6,2,8,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,1,2,8,4,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,1,8,2,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,2,4,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,2,6,4,8,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,6,8,4,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,3,2,6,8,4,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,6,2,4,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,2,4,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,2,6,4,5,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,3,6,2,4,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,4,6,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,4,6,2,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,4,6,8,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,4,6,8,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,4,6,8,2,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,1,2,4,5,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,6,4,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,2,4,6,7,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,4,6,7,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,4,6,7,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,4,6,7,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,1,2,8,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,7,8,2,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,8,2,4,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,7,8,1,2,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,2,4,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,2,7,4,8,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,3,2,7,4,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,7,2,4,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,7,8,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,7,8,2,4,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,1,2,4,5,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,2,4,7,5,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,4,7,5,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,4,2,7,5,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,4,7,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,2,4,7,8,5,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,4,2,7,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,7,1,2,4,5,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,7,4,5,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,7,4,5,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,4,7,5,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,2,4,5,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,2,4,5,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,4,5,7,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,2,4,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,2,8,4,5,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,2,8,4,5,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,4,8,5,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,4,8,5,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,4,2,8,5,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,4,5,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,2,4,5,8,6,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,4,2,5,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,4,5,2,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,4,5,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,5,2,6,3,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,1,2,6,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,6,2,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,1,6,2,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,6,1,2,3,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,1,5,2,6,8,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,6,2,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,1,2,8,3,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,5,6,8,2,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,6,1,8,2,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,2,6,3,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,1,6,2,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,1,6,2,7,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,1,2,7,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,5,6,7,2,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,6,1,7,2,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,2,6,7,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,6,2,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,1,2,7,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,5,6,7,2,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,6,1,7,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,1,6,7,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,6,1,7,8,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,6,7,1,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,5,2,7,3,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,7,2,3,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,2,7,8,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,1,2,7,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,7,2,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,1,7,2,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,7,1,2,8,3,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,5,1,7,8,2,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,7,8,1,2,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,2,7,3,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,2,3,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,1,2,3,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,5,3,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,2,5,3,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,5,2,3,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,5,2,7,3,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,5,2,3,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,2,5,3,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,5,2,3,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,5,2,7,3,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,5,7,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,2,5,7,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,5,2,7,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,5,2,8,3,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,8,2,3,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,1,2,3,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,5,2,3,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,1,2,3,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,2,5,3,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,2,5,3,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,5,2,3,8,6,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,5,2,8,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,2,5,3,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,2,5,6,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,5,2,6,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,5,2,6,8,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,5,6,8,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,2,3,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,5,2,3,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,4,5,2,6,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,5,2,6,7,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,5,6,7,2,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,5,2,6,7,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,5,6,7,2,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,6,2,7,3,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,6,7,2,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,1,7,2,8,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,7,1,2,8,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,6,7,8,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,1,7,8,2,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,1,8,2,3,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,6,7,8,1,2,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,6,2,7,3,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,1,2,7,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,7,2,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,7,1,2,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,2,3,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,2,6,7,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,2,6,7,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,2,7,3,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,6,7,2,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,6,2,3,7,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,6,2,3,7,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,6,7,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,6,2,7,3,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,6,2,7,8,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,6,7,8,2,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,2,8,3,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,1,2,8,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,6,8,2,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,8,1,2,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,6,2,3,8,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,6,2,3,8,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,2,6,8,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,6,2,8,3,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,6,8,2,3,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,2,3,5,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,1,2,3,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,2,6,3,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,2,6,3,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,6,2,3,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,2,3,6,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,4,2,3,6,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,4,6,3,5,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,2,3,6,8,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,2,4,3,6,8,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,4,6,8,3,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,6,2,3,5,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,6,2,3,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,2,3,6,5,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,2,3,6,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,2,3,6,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,2,3,6,7,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,2,3,6,7,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,4,2,3,6,7,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,7,2,8,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,1,8,2,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,7,2,3,8,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,7,1,2,3,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,2,7,3,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,2,3,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,7,2,8,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,2,3,5,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,7,2,3,5,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,3,7,5,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,4,2,3,7,5,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,2,3,7,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,4,2,3,7,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,4,3,7,8,5,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,4,7,3,8,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,7,2,3,5,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,7,2,3,5,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,2,3,7,5,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,2,3,7,5,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,4,3,7,5,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,2,3,5,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,2,3,5,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,2,3,5,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,2,3,5,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,4,5,7,8,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,8,2,3,5,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,8,2,3,5,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,3,8,5,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,4,2,3,8,5,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,4,3,8,5,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,2,3,5,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,2,3,5,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,4,3,5,8,6,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,4,5,3,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,2,3,5,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,2,3,5,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,6,2,7,3,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,7,2,3,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,1,7,2,3,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,1,2,7,8,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,6,7,2,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,7,1,2,8,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,7,8,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,1,8,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,6,2,7,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,1,7,2,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,2,6,3,7,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,2,6,3,7,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,6,7,2,3,4,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,6,1,2,3,7,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,2,6,3,7,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,2,6,3,7,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,7,2,3,8,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,2,6,7,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,2,6,7,8,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,7,2,8,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,6,2,8,3,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,8,2,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,1,2,3,8,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,2,6,3,8,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,2,6,3,8,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,2,8,3,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,6,8,2,3,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,6,2,3,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,2,3,4,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,5,2,6,3,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,6,2,3,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,2,3,6,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,5,3,6,4,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,6,3,8,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,2,6,3,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,2,6,3,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,5,6,3,4,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,5,6,3,7,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,5,6,3,7,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,6,7,8,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,1,2,8,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,8,2,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,8,1,2,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,2,7,3,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,5,2,7,3,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,7,2,3,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,2,7,8,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,2,7,8,3,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,8,2,3,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,1,2,3,4,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,2,7,3,4,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,2,7,3,4,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,5,7,3,4,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,2,3,7,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,2,3,7,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,5,3,7,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,7,3,8,4,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,5,7,8,3,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,1,2,3,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,2,7,3,4,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,5,7,3,4,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,2,3,4,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,3,4,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,2,3,4,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,2,3,4,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,5,3,4,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,3,5,7,8,4,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,1,2,3,4,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,2,8,3,4,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,2,8,3,4,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,5,8,3,4,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,2,3,4,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,2,3,4,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,5,3,4,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,3,5,4,8,6,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,2,3,4,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,2,3,4,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,3,4,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,1,7,2,8,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,1,8,2,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,1,2,3,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,2,7,3,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,2,7,3,8,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,7,8,3,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,7,2,8,3,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,7,2,3,4,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,2,3,7,4,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,2,3,7,4,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,6,3,7,4,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,6,7,3,8,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,6,7,8,3,4,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,1,7,2,3,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,7,2,3,4,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,2,3,7,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,3,7,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,6,3,7,4,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,3,6,7,4,5,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,6,7,4,8,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,1,8,2,3,4,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,6,8,2,3,4,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,2,3,8,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,2,3,8,4,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,6,3,8,4,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,3,6,8,4,5,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,1,2,3,4,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,2,3,4,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,6,3,4,5,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,3,6,4,5,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,1,2,8,3,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,2,8,3,4,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,7,8,3,4,5,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,2,3,4,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,2,3,4,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,7,3,4,8,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,3,7,4,8,5,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,3,4,7,8,5,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,3,2,6,1,4,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,3,2,5,4,8,1,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,4,5,2,3,7,6,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,4,5,2,3,8,1,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,4,5,2,3,1,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,4,6,2,1,3,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,6,1,5,4,2,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,6,5,1,3,2,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,6,4,3,1,2,8,7] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,5,4,3,2,8,1,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,6,4,3,7,2,5,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,6,4,3,8,2,1,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,7,4,3,8,1,2,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,7,4,3,1,8,2,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,7,5,1,3,8,2,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,7,1,5,4,8,2,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,7,5,4,8,3,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,8,1,5,4,7,6,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,8,5,1,3,7,6,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,8,4,3,1,7,6,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,8,4,3,7,1,5,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,8,4,3,6,5,1,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,8,5,7,3,1,4,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,8,6,7,1,3,4,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,8,6,1,7,3,5,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,8,1,6,7,4,5,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,8,6,7,4,5,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,7,6,8,4,3,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,7,1,6,8,4,2,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,7,6,1,8,3,2,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,7,6,8,1,3,2,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,4,7,2,1,8,3,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,4,7,2,8,1,3,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,4,6,2,8,3,1,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,4,6,2,7,3,5,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,3,2,6,7,4,5,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,3,2,6,8,4,1,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,3,2,7,8,1,4,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,3,2,7,1,8,4,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,3,2,1,7,8,5,6] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,4,1,2,8,7,6,5] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,3,2,8,1,7,6,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,3,2,8,7,1,5,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,3,2,8,6,5,1,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,4,7,2,6,5,3,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,4,8,2,6,5,1,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,4,8,2,7,1,5,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,4,8,2,1,7,6,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,5,8,1,2,7,6,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,5,1,8,2,7,6,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,5,8,3,7,6,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,6,8,7,3,5,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,6,1,8,7,2,5,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,6,8,1,7,2,5,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,6,8,7,1,2,4,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,5,8,7,2,1,4,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[7,5,8,6,2,4,1,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[8,5,7,6,2,4,3,1] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,7,8,6,1,4,2,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,7,8,1,6,5,2,3] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,7,1,8,6,5,2,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,7,8,6,5,3,4] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[3,8,1,7,6,5,4,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[4,8,7,1,6,5,3,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[5,8,7,6,1,4,3,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[6,8,7,5,4,1,3,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,[.,.]],.],.],.] => 4

[2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[3,4,1,2,6,5,8,7,10,9] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[4,3,2,1,6,5,8,7,10,9] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[6,5,4,3,2,1,8,7,10,9] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[8,9,5,6,3,4,10,1,2,7] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[4,3,2,1,8,7,6,5,10,9] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[8,7,6,5,4,3,2,1,10,9] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[9,7,6,5,4,3,2,10,1,8] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[10,8,9,6,7,4,5,2,3,1] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[6,7,8,9,10,1,2,3,4,5] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[7,3,2,8,9,10,1,4,5,6] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[8,5,4,3,2,9,10,1,6,7] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[6,5,4,3,2,1,10,9,8,7] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[9,7,5,10,3,8,2,6,1,4] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[4,3,2,1,10,9,8,7,6,5] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[2,1,10,9,8,7,6,5,4,3] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[9,10,8,7,6,5,4,3,1,2] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[10,9,8,7,6,5,4,3,2,1] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,.]]],.],.],.] => 4

[4,2,5,1,3,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,3,5,1,2,4,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,7,1,2,3,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,1,3,4,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,3,7,1,2,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,5,1,2,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,6,1,2,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,8,1,3,5,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,8,1,2,3,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,2,8,1,3,4,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,1,2,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,1,2,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,8,1,2,3,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,5,1,2,4,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,7,1,2,4,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,7,1,2,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,5,7,1,4,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,6,7,1,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,6,7,1,3,4,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,6,7,1,2,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,5,7,1,3,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,5,7,1,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,4,8,1,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,8,1,3,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,8,1,3,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,5,8,1,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,7,8,1,4,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,7,8,1,2,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,7,8,1,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,4,8,1,3,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,4,8,1,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,5,8,1,2,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,4,6,1,2,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,5,7,1,2,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,6,7,1,3,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,2,5,1,3,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,6,3,5,1,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,6,2,4,1,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,7,3,5,1,2,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,2,4,1,3,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,2,6,1,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,5,1,3,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,2,4,1,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,3,4,1,2,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,2,6,1,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,6,1,2,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,4,6,1,2,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,2,7,1,3,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,3,7,1,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,2,7,1,3,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,3,7,1,2,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,4,7,1,2,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,2,7,1,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,2,4,1,3,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,2,5,1,3,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,3,5,1,2,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,2,6,1,5,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,2,6,1,4,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,4,2,6,1,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,5,1,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,7,1,5,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,2,7,1,4,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,2,7,1,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,2,7,1,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,7,1,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,2,5,1,4,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,6,1,4,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,4,3,6,1,2,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,6,3,5,1,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,8,1,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,2,8,1,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,3,8,1,2,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,8,1,4,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,2,8,1,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,3,8,1,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,2,8,1,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,2,5,1,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,6,1,4,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,2,6,1,3,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,2,4,1,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,5,1,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,2,7,1,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,2,7,1,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,3,7,1,2,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,3,7,1,2,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,2,6,1,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,3,6,1,2,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,4,6,1,2,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,2,5,8,1,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,2,5,8,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,3,5,8,1,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,2,4,8,1,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,3,4,8,1,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,3,6,8,1,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,2,6,8,1,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,4,6,8,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,3,4,8,1,2,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,7,3,5,8,1,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,2,5,7,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,5,7,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,5,7,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,6,8,1,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,2,6,8,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,5,8,1,4,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,3,5,8,1,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,2,4,8,1,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,7,8,1,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,2,7,8,1,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,3,7,8,1,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,2,7,8,1,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,3,7,8,1,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,2,7,8,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,2,4,8,1,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,5,8,1,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,5,7,1,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,2,5,7,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,2,4,7,1,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,6,7,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,2,6,7,1,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,3,6,7,1,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,2,4,6,1,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,3,4,6,1,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,5,6,1,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,7,2,6,1,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,7,2,6,1,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,7,2,5,1,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,7,2,5,1,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,8,2,6,1,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,8,2,6,1,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,8,3,6,1,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,8,2,5,1,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,2,5,1,3,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,8,3,5,1,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,8,2,4,1,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,8,3,4,1,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,2,7,1,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,2,7,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,8,2,7,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,8,2,7,1,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,8,2,4,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,8,4,6,1,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,8,3,5,1,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,6,2,5,1,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,6,2,4,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,7,2,5,1,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,3,5,1,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,2,4,1,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,7,2,6,1,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,7,2,6,1,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,7,3,6,1,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,7,2,6,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,2,4,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,2,5,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,3,2,7,1,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,2,7,1,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,5,3,2,7,1,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,4,2,7,1,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,3,2,8,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,2,8,1,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,2,8,1,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,8,1,2,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,3,2,8,1,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,3,8,1,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,3,2,7,1,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,4,3,7,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,2,6,1,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,4,2,6,1,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,4,3,6,1,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,5,3,6,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,3,5,1,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,3,7,2,6,1,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,4,7,3,6,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,7,3,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,7,2,4,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,5,7,3,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,3,6,2,5,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,4,6,2,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,4,6,3,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,5,6,2,4,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,3,8,2,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,3,8,2,7,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,4,8,3,7,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,3,8,2,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,3,8,2,6,1,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,5,4,8,2,6,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,3,8,2,5,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,4,8,2,5,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,5,8,2,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,3,7,2,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,4,7,2,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,3,7,2,5,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,4,7,2,5,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,4,6,3,5,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,5,6,2,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,2,8,1,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,5,4,2,8,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,3,2,7,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,4,3,2,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,3,7,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,2,6,3,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,2,6,3,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,2,6,3,7,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,2,8,7,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,2,5,7,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,7,6,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,8,2,7,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,2,3,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,5,2,3,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,7,2,3,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,5,2,3,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,2,3,7,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,8,2,3,7,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,5,2,3,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,2,7,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,2,6,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,2,6,3,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,5,2,6,3,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,5,2,6,7,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,1,8,6,2,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,7,6,2,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,8,6,2,7,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,6,2,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,4,8,2,3,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,4,6,2,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,5,2,3,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,5,2,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,6,5,2,3,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,6,2,7,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,6,5,2,7,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,4,8,7,2,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,8,5,7,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,8,7,6,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,5,7,2,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,4,7,6,2,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,7,5,6,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,1,3,7,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,1,6,3,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,1,6,3,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,1,8,7,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,1,5,7,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,1,7,6,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,2,7,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,1,2,3,5,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,1,2,3,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,2,3,7,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,1,2,3,7,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,1,2,3,4,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,1,2,3,7,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,2,3,7,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,1,2,8,3,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,1,2,7,3,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,2,6,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,2,7,3,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,1,2,6,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,1,2,6,3,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,1,2,6,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,1,2,6,3,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,1,2,6,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,1,2,8,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,2,6,7,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,1,2,6,7,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,1,2,6,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,6,2,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,1,8,2,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,1,6,2,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,6,2,7,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,5,2,3,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,5,2,3,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,1,5,2,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,1,5,2,3,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,1,5,2,3,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,1,5,2,8,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,5,2,7,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,1,5,2,7,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,1,5,2,7,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,1,8,7,2,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,5,7,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,1,7,6,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,5,6,2,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,1,5,6,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,5,6,2,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,1,5,6,7,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,8,1,7,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,5,1,3,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,5,1,3,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,7,1,3,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,5,1,3,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,5,1,3,7,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,8,1,3,7,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,5,1,3,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,4,1,7,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,5,1,6,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,8,1,6,3,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,5,1,6,3,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,5,1,6,7,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,5,1,2,4,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,7,1,2,4,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,1,2,8,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,5,1,2,7,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,8,1,2,7,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,5,1,2,7,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,4,1,2,3,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,1,2,3,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,4,1,2,3,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,4,1,2,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,1,2,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,1,2,7,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,4,1,2,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,4,1,7,2,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,1,6,2,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,8,1,6,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,5,1,6,2,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,4,1,6,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,4,1,6,2,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,4,1,6,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,5,1,6,7,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,4,1,6,7,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,8,6,1,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,7,6,1,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,8,6,1,7,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,4,6,1,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,4,8,1,3,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,4,6,1,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,6,5,1,3,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,8,5,1,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,5,1,3,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,4,6,1,7,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,6,5,1,7,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,4,6,1,2,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,6,5,1,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,8,5,1,2,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,6,5,1,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,4,5,1,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,4,6,1,7,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,6,5,1,7,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,4,5,1,7,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,4,8,7,1,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,8,5,7,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,8,7,6,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,4,5,7,1,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,4,7,6,1,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,5,6,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,4,5,7,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,4,7,6,1,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,7,5,6,1,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,3,9,4,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,1,2,3,6,8,4,5,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,1,2,8,3,4,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[7,1,2,8,3,4,5,9,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,1,2,8,9,3,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,1,2,5,9,3,4,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,1,2,9,6,3,4,5,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,1,7,2,3,4,5,9,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,1,9,8,2,4,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[7,1,4,9,2,3,5,6,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,1,4,8,2,3,5,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[3,1,4,8,9,2,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,1,9,5,6,2,3,4,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,1,4,8,6,7,2,3,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,8,1,3,9,4,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,9,1,8,3,4,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,4,1,8,9,3,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,9,1,2,3,4,6,7,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,8,1,2,3,4,6,9,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,7,1,2,3,4,8,9,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,6,1,2,3,4,5,7,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,6,1,2,3,4,5,9,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,6,1,2,3,4,8,5,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[7,6,1,2,3,4,8,9,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,9,1,2,3,8,4,6,7] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[8,6,1,2,3,7,4,9,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,6,1,2,3,7,8,4,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,6,1,2,3,7,8,9,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,4,1,2,9,3,5,6,7] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,7,1,2,6,3,8,4,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,8,1,2,6,7,3,4,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,3,1,8,2,4,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,9,1,5,2,3,4,7,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,4,1,6,2,8,3,5,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,9,1,5,6,7,2,3,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,4,1,5,6,7,8,2,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,6,9,1,3,4,5,7,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,9,7,1,3,4,5,6,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,8,4,1,9,3,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,9,5,1,6,7,8,3,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,3,7,1,2,4,5,6,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,9,4,1,2,3,5,7,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,8,4,1,2,3,5,9,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,7,4,1,2,3,5,6,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,8,5,1,7,2,3,4,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,5,4,1,6,7,2,9,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,3,5,1,6,7,8,2,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,5,4,1,6,7,8,2,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,7,9,1,4,5,6,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,9,8,1,4,5,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,9,6,1,7,8,4,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,9,6,5,1,7,8,3,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,3,4,8,1,2,5,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,8,4,5,1,2,3,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[7,8,9,6,1,2,3,4,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,3,6,5,1,7,2,9,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,6,4,5,1,7,2,9,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,3,4,6,1,7,8,2,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,4,9,7,1,8,5,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,9,7,5,6,1,8,3,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,3,4,7,6,1,2,9,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,3,7,5,6,1,2,9,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,9,4,5,6,1,2,3,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,3,7,5,6,1,8,2,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,9,5,6,8,1,4,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,9,4,5,6,8,1,3,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,9,4,5,8,7,1,3,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,9,4,8,6,7,1,3,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,3,4,5,6,8,1,2,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,5,2,6,1,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,2,6,4,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,2,7,4,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,7,2,3,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,2,3,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,2,1,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,6,4,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,6,1,3,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,6,3,1,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,7,3,2,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,7,3,2,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,3,8,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,3,8,2,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,3,8,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,7,3,1,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,7,1,3,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,7,4,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,5,7,4,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,5,7,4,8,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,7,4,8,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,7,1,3,8,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,3,8,5,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,7,8,1,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,1,8,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,7,8,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,7,8,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,7,8,4,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,1,7,8,4,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,1,8,3,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,7,8,1,3,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,7,2,1,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,2,8,1,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,2,8,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,2,7,8,4,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,2,7,8,1,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,2,7,1,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,2,1,7,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,2,7,8,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,2,7,1,8,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,2,7,8,1,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,2,7,8,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,2,8,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,2,8,1,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,7,2,1,8,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,7,1,2,8,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,7,2,8,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,5,7,3,8,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,7,8,3,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,1,7,8,2,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,1,8,2,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,7,8,1,2,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,7,8,2,1,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,7,8,2,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,8,1,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,1,8,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,7,8,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,7,8,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,7,8,5,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,1,8,5,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,7,8,1,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,7,8,4,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,2,1,6,5,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,5,6,4,3,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[4,5,6,3,2,1,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[4,6,8,3,9,5,10,7,2,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,1,4,3,7,8,6,5,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[3,4,2,1,7,8,6,5,10,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[2,1,6,7,8,5,4,3,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[5,6,7,8,4,3,2,1,10,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[5,6,7,9,4,3,2,10,8,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,4,2,1,7,9,6,10,8,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[6,7,8,9,10,1,4,5,2,3] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[2,1,4,3,6,5,9,10,8,7] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[3,4,2,1,6,5,9,10,8,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[3,5,2,6,4,1,9,10,8,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,1,5,6,4,3,9,10,8,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[4,5,6,3,2,1,9,10,8,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[2,1,4,3,8,9,10,7,6,5] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[3,4,2,1,8,9,10,7,6,5] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[3,7,2,8,9,10,6,5,4,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,1,7,8,9,10,6,5,4,3] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[6,7,8,9,10,1,5,4,3,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[6,7,8,9,10,5,4,3,2,1] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[6,5,8,7,3,4,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,7,4,5,8,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,7,4,5,1,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,7,4,5,2,3,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,5,4,7,6,2,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,5,4,7,6,1,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,4,7,6,8,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,3,7,8,6,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,3,8,7,6,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,8,3,7,5,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,8,4,5,7,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,4,8,6,7,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,5,6,8,7,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,2,5,6,1,8,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,5,6,8,1,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,4,8,6,1,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,8,4,5,1,7,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,8,2,4,5,1,6,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,1,4,5,2,3,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,8,4,5,2,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,4,8,6,2,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,1,3,2,8,6,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,3,8,2,6,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,8,3,2,5,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,1,3,2,5,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,2,3,1,5,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,2,8,3,1,5,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,3,8,1,6,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,3,8,2,1,7,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,3,2,1,6,5,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,4,2,6,1,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,2,8,7,1,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,2,7,8,1,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,3,7,1,6,8,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,3,7,2,6,4,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,7,3,2,5,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,7,3,1,5,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,7,2,1,8,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,5,6,2,1,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,8,7,1,2,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,1,8,7,2,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,8,1,7,2,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,3,1,2,6,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,1,8,2,7,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,1,2,8,7,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,1,3,8,5,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,1,8,3,4,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,8,1,3,4,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,2,1,3,4,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,1,2,6,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,1,6,2,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,1,5,2,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,1,5,2,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,5,1,2,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,1,2,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,1,2,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,5,3,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,1,5,2,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,5,1,2,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,4,1,2,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,1,2,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,4,1,2,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,4,1,7,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,1,8,2,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,4,1,8,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,4,1,2,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,1,2,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,1,5,2,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,7,5,3,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,5,3,7,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,5,2,7,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,5,1,2,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,6,7,1,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,6,1,7,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,6,7,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,6,7,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,6,8,3,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,1,6,8,2,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,6,1,8,2,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,6,8,1,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,7,1,2,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,7,1,8,2,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,6,1,8,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,1,6,8,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,1,7,8,2,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,1,7,2,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,1,2,7,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,4,3,8,7,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,2,8,7,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,1,8,7,2,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,7,1,6,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,1,2,7,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,8,1,2,7,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,8,2,7,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,5,8,3,7,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,8,7,3,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,1,8,7,2,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,8,1,7,2,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,8,7,1,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,7,6,1,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,6,1,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,1,6,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,8,6,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,8,6,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,7,6,3,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,1,7,6,2,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,7,1,6,2,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,7,6,1,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,7,5,1,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,2,5,1,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,8,3,5,7,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,2,8,6,1,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,8,2,5,1,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,4,2,5,1,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,2,8,6,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,2,1,6,8,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,2,1,8,6,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,8,1,6,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,3,2,1,5,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,2,1,5,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,2,7,1,8,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,2,7,1,6,8,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,7,2,8,1,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,7,8,2,1,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,8,7,2,1,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,7,2,1,8,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,2,7,1,4,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,2,1,8,7,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,2,1,8,5,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,2,1,5,8,6,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,8,4,7,2,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,8,4,7,2,5,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,6,8,3,2,7,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,8,3,2,7,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,3,4,6,5,1,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,2,4,6,1,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,2,3,1,6,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,1,2,3,6,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,2,8,3,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,2,8,3,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,1,8,3,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,8,3,1,7,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,8,4,7,1,5,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,3,8,4,7,5,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,4,7,1,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,8,3,1,7,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,1,8,3,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,2,5,8,3,7,6,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,4,1,3,8,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,3,8,1,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,4,8,7,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,4,8,7,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,4,8,7,1,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,3,8,1,7,6,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,2,1,3,8,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,2,3,8,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,4,2,3,8,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,3,2,8,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,1,2,8,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,1,8,2,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,3,8,2,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,3,8,2,7,6,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,4,8,7,2,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,4,8,7,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,8,1,7,2,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,8,7,1,2,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,8,7,2,1,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,1,8,7,2,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,3,5,8,2,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,5,8,2,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,8,1,2,7,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,8,2,7,1,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,2,8,1,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,4,2,8,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,2,4,8,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,5,8,1,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,5,8,7,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,5,8,1,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,3,2,6,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,3,2,6,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,2,5,4,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,2,5,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,2,6,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,3,5,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,6,2,5,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,2,5,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,5,1,4,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,1,4,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,7,1,4,3,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,8,1,4,3,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,2,6,1,4,3,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,2,5,3,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,3,5,4,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,3,5,4,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,8,2,5,3,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,6,1,4,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,4,3,8,2,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,4,3,7,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,5,3,8,2,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,2,6,1,5,3,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,8,2,6,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,3,6,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,3,6,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,7,2,6,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,6,1,5,3,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,5,2,6,3,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,4,2,7,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,3,2,7,4,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,3,2,7,5,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,3,8,5,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,4,2,8,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,3,2,8,5,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,3,2,8,4,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,1,3,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,7,1,4,2,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,4,2,8,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,2,8,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,5,3,8,4,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,3,8,4,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,6,2,8,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,2,8,3,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,6,2,8,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,7,1,5,2,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,3,8,1,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,3,7,1,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,8,3,7,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,8,4,7,3,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,4,8,3,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,7,4,8,2,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,3,8,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,2,6,1,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,2,6,3,7,1,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,2,6,8,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,3,8,2,4,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,2,5,8,3,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,2,6,3,8,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,2,1,6,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,2,8,1,3,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,5,6,3,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,3,2,8,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,5,3,8,2,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,8,3,2,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,4,1,8,3,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,5,3,1,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,5,8,3,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,7,8,1,4,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,8,2,4,6,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,1,7,8,3,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,5,8,3,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,4,3,8,1,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,4,8,3,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,8,3,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,3,8,4,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,7,3,1,8,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,1,7,3,8,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,6,7,3,8,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,2,8,4,1,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,7,4,8,3,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,6,7,3,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,1,7,3,2,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,7,3,2,1,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,7,3,2,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,7,3,8,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,2,7,3,1,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,1,7,3,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,7,4,2,8,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,1,8,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,8,2,1,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,1,5,2,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,2,5,1,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,2,1,8,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,4,2,8,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,7,2,8,4,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,7,2,8,4,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,7,8,1,4,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,7,8,2,6,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,3,8,2,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,7,2,8,5,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,7,8,5,2,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,7,8,5,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,8,2,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,8,2,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,7,8,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,7,8,1,6,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,2,8,5,1,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,6,2,7,8,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,1,7,8,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,2,7,1,8,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,2,7,8,4,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,7,2,8,4,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,7,2,1,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,7,2,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,7,2,8,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,7,1,8,2,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,8,5,2,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,3,5,1,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,7,8,1,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,7,8,4,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,7,1,8,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,1,3,4,2,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,5,1,6,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,3,6,2,4,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,7,4,1,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,8,2,4,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,4,5,6,3,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,5,1,3,6,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,5,6,3,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,3,7,2,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,5,8,3,2,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,6,7,2,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,3,6,7,2,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,3,7,1,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,4,7,1,2,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,8,2,1,4,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,8,4,1,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,5,8,3,6,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,6,7,8,4,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,7,1,4,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,4,1,7,8,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,7,1,4,8,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,6,7,8,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,3,6,7,8,2,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,6,7,8,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,7,1,3,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,1,7,8,2,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,6,7,8,3,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,6,7,8,3,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,2,7,4,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,1,6,4,7,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,2,1,3,5,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,3,4,2,1,6,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,3,2,7,1,8,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,8,5,2,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,4,7,8,1,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,5,8,6,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,8,6,1,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,1,3,8,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,1,7,8,2,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,2,6,7,8,4,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,7,1,3,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,8,2,1,5,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,3,8,5,1,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,7,8,5,3,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,2,7,3,5,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,6,2,4,3,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,4,1,3,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,5,4,2,1,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,6,5,1,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,2,4,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,5,4,8,2,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,6,7,4,5,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,7,8,5,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,8,7,1,5,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,7,2,1,4,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,7,1,2,4,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,6,1,4,3,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,6,8,4,3,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,8,3,4,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,8,1,3,2,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,8,2,1,3,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,2,6,8,4,1,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,8,3,2,1,4,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,5,7,3,8,4,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,3,7,1,5,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,3,8,2,1,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,2,3,1,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,3,1,8,2,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,1,3,7,6,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,1,3,2,8,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,1,2,3,8,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,2,1,3,8,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,7,1,8,4,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,2,1,8,3,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,1,8,2,3,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,1,8,3,2,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,8,7,3,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,6,5,3,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,6,5,2,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,1,2,7,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,2,1,7,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,8,7,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,2,7,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,7,2,5,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,8,6,5,2,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,6,5,4,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,6,5,8,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,1,2,3,8,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,1,2,3,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,1,7,2,3,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,1,8,2,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,2,8,3,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,1,2,8,3,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,5,2,8,4,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,5,3,7,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,1,2,7,3,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,7,2,3,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,6,7,3,4,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,6,8,2,4,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,1,8,2,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,2,8,3,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,7,2,8,4,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,3,8,7,5,6,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,2,8,7,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,1,6,2,3,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,1,6,2,3,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,1,2,7,3,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,1,7,2,3,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,7,1,2,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,1,2,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,8,6,3,4,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,6,2,3,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,5,1,6,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,3,6,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,1,6,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,5,4,6,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,3,6,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,5,1,6,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,6,2,7,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,6,1,7,2,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,5,1,7,2,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,4,7,3,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,1,7,6,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,6,1,7,5,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,6,4,7,2,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,3,7,4,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,4,7,5,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,4,7,3,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,6,4,7,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,6,3,7,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,6,1,7,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,6,2,7,4,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,2,6,3,7,4,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,6,1,7,3,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,1,7,3,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,1,7,3,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,6,3,7,1,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,6,4,7,1,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,6,1,7,4,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,4,1,7,5,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,4,2,7,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,6,5,7,1,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,6,5,7,3,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,1,7,5,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,1,7,6,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,5,2,7,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,5,3,7,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,3,7,5,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,6,2,7,5,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,6,4,7,3,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,6,2,7,3,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,6,2,7,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,6,5,7,2,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,6,5,7,3,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,6,5,7,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,4,7,3,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,6,1,7,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,3,5,2,4,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,7,5,2,4,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,4,5,7,3,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,5,7,3,1,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,4,6,5,3,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,1,5,6,4,3,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,4,3,2,1,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,7,4,3,2,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,3,2,7,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,7,3,1,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,4,5,3,2,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,5,1,4,2,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,4,2,1,3,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,7,4,2,1,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,3,8,7,1,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,6,3,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,5,8,7,4,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,1,6,7,3,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,4,1,8,7,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,6,4,8,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,3,5,6,8,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,6,5,8,2,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,8,5,7,2,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,6,5,7,8,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,7,6,8,3,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,8,7,3,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,2,4,6,7,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,2,6,4,8,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,7,2,1,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,1,3,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,7,3,2,1,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,8,6,2,1,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,6,3,5,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,4,8,1,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,8,2,1,7,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,5,7,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,7,2,1,3,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,6,7,1,3,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,6,1,7,5,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,1,8,7,2,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,2,5,6,7,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,7,8,5,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,5,7,6,4,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,6,8,5,4,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,4,8,2,6,5,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,8,1,6,5,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,8,6,1,3,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,7,6,5,1,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,5,6,4,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,7,5,4,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,3,1,2,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,3,5,1,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,3,7,2,1,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,1,4,5,7,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,4,5,1,3,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,2,4,5,1,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,1,4,5,3,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,2,4,5,3,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,2,1,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,3,6,1,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,1,4,5,2,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,6,4,5,2,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,7,4,5,1,2,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,7,4,2,6,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,7,4,1,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,7,4,2,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,8,4,5,1,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,7,5,3,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,6,8,5,7,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,6,3,8,1,7,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,1,4,5,8,3,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,6,4,5,8,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,7,4,1,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,8,4,7,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,8,4,7,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,8,4,3,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,3,8,4,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,5,8,4,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,8,3,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,8,2,1,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,8,4,2,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,4,3,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,3,2,4,1,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,3,4,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,7,8,5,4,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,3,8,1,4,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,8,4,5,3,2,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,7,8,4,5,3,1,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,1,4,3,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,7,4,2,6,1,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,8,4,3,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,8,4,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,3,6,2,1,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,3,1,4,2,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,3,8,2,4,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,3,1,8,5,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,3,2,6,8,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,3,6,2,8,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,3,5,1,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,2,6,1,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,3,8,6,2,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,8,4,7,6,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,2,4,7,6,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,5,4,1,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,6,4,5,8,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,6,4,5,8,2,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,3,6,1,8,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,7,6,5,8,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,5,3,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,3,5,2,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,5,4,2,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,2,4,8,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,3,2,8,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,5,3,8,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,5,8,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,5,4,8,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,3,7,2,8,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,7,4,5,8,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,7,2,4,5,8,3,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,7,4,8,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,7,4,8,6,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,7,1,8,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,7,4,5,2,1,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,5,4,8,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,1,4,8,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,1,8,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,3,5,8,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,3,8,1,2,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,8,4,1,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,2,5,4,8,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,8,2,4,7,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,2,5,8,3,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,1,5,3,8,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,3,2,7,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,3,8,2,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,7,6,2,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,3,1,7,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,4,3,1,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,3,5,8,4,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,8,7,1,4,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,5,8,7,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,3,8,1,7,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,1,8,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,3,7,6,5,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,3,1,8,6,4,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,6,5,3,7,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,6,3,7,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,1,8,7,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,7,3,1,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,8,7,4,5,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,2,8,4,1,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,1,6,8,4,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,6,4,8,3,2,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,7,1,6,3,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,7,5,3,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,6,3,8,7,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,7,4,1,8,3,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,7,2,6,3,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,7,2,1,4,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,7,8,2,1,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,7,1,4,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,6,2,7,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,6,2,5,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,8,2,1,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,8,2,7,1,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,3,7,1,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,7,2,6,1,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,8,1,7,5,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,6,8,2,7,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,2,1,8,5,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,1,8,2,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,1,8,6,2,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,3,1,6,5,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,1,6,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,1,7,5,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,8,6,5,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,3,7,6,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,4,2,6,3,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,7,6,4,5,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,5,2,3,8,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,5,2,8,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,5,2,3,1,4,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,6,2,3,1,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,2,6,3,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,1,6,4,8,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,5,2,8,3,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,6,7,2,3,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,6,7,2,3,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,6,8,2,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,1,7,8,4,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,7,2,1,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,6,8,2,3,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,8,2,3,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,2,8,3,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,2,3,8,1,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,5,4,1,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,2,3,1,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,2,3,1,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,2,1,7,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,2,8,7,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,2,7,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,2,7,3,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,2,1,3,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,1,8,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,1,7,2,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,8,7,2,3,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,6,2,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,1,7,2,3,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,8,2,1,7,3,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,8,1,7,4,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,8,7,4,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,8,2,7,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,8,7,2,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,7,6,2,3,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,7,6,2,3,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,5,1,2,4,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,5,6,1,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,7,5,2,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,2,7,4,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,1,5,4,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,3,5,1,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,1,4,6,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,4,6,5,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,4,7,2,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,8,5,2,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,5,7,3,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,4,8,3,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,3,8,2,1,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,7,4,1,8,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,1,2,5,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,8,2,7,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,8,1,6,7,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,2,1,7,5,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,1,3,6,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,8,5,4,3,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,1,6,3,4,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,6,7,2,4,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,8,7,2,1,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,6,1,4,2,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,5,8,2,4,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,4,1,8,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,3,2,6,7,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,6,2,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,6,1,8,7,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,2,8,7,4,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,6,1,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,6,5,4,7,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,6,1,7,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,6,5,7,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,5,3,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,5,2,1,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,4,1,6,5,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,1,2,8,7,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,1,5,8,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,2,6,8,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,3,6,8,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,2,6,3,1,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,2,1,4,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,2,7,4,8,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,7,5,2,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,6,5,4,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,3,2,4,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,2,4,1,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,1,3,5,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,3,4,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,3,8,4,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,7,3,8,6,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,1,3,5,8,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,7,4,1,8,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,3,7,4,8,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,6,7,4,8,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,8,7,4,3,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,3,8,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,3,2,8,7,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,2,4,8,1,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,2,8,5,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,1,8,7,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,1,8,6,7,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,4,8,6,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,6,5,4,8,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,7,5,6,8,4,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,1,6,8,2,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,2,1,8,7,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,2,5,8,3,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,2,6,3,8,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,2,3,6,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,3,1,8,5,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,2,8,3,4,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,8,4,3,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,2,8,1,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,8,7,1,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,6,3,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,5,4,3,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,3,8,1,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,8,5,4,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,8,4,6,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,8,4,1,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,8,3,6,5,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,8,1,7,2,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,8,2,4,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,3,8,2,5,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,8,3,5,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,4,1,6,5,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,4,1,6,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,6,1,4,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,8,5,6,7,4,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,8,6,1,4,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,7,6,1,4,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,7,2,4,1,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,2,4,1,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,5,3,4,7,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,5,3,4,1,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,3,4,1,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,6,1,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,5,6,7,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,5,3,4,7,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,5,3,4,6,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,3,4,6,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,7,2,4,6,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,5,2,7,3,1,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,2,8,3,1,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,2,8,3,1,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,8,2,4,6,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,6,1,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,7,6,1,4,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,7,2,4,1,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,7,2,4,6,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,2,7,3,1,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,2,6,3,1,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,2,3,7,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,2,7,3,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,6,7,4,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,8,7,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,2,8,3,7,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,2,3,8,7,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,1,2,3,8,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,2,3,8,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,2,3,7,6,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,2,3,8,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,6,8,4,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,8,2,4,3,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,8,2,4,3,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,2,8,3,4,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,2,8,3,7,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,2,7,3,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,7,4,3,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,6,8,7,3,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,6,8,4,3,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,8,6,3,4,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,8,3,6,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,4,8,6,5,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,6,5,8,3,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,6,7,8,3,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,6,5,7,3,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,2,6,3,7,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,2,7,3,8,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,6,2,4,8,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,6,2,4,8,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,5,6,8,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,6,5,8,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,2,6,3,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,2,3,5,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,2,3,7,8,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,2,7,3,8,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,6,7,8,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,2,6,3,7,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,6,1,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,2,1,6,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,1,2,5,7,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,8,1,5,7,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,8,1,7,2,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,1,4,7,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,3,4,5,1,6,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,8,3,5,4,2,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,4,1,2,3,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,3,6,5,4,1,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,2,1,5,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,2,5,6,4,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,1,6,5,4,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,7,5,4,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,1,6,4,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,6,2,7,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,1,8,4,2,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,2,1,5,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,8,7,5,6,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,7,1,5,3,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,7,5,6,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,2,8,6,4,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,1,7,6,4,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,5,7,3,6,4,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,7,5,8,3,6,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,6,8,2,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,8,5,3,1,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,1,4,7,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,8,1,4,7,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,7,5,2,1,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,7,2,8,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,7,6,1,8,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,8,6,2,7,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,8,3,2,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,6,5,7,1,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,6,3,1,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,6,3,4,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,4,5,8,7,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,4,1,8,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,3,5,4,8,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,2,4,1,6,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,7,6,3,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,7,2,6,5,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,2,1,5,6,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,7,8,1,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,7,6,5,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,4,7,8,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,7,1,6,3,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,6,3,5,7,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,5,6,1,4,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,7,8,2,1,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,8,7,1,6,4,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,6,8,7,5,2,4,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,7,6,8,5,2,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,6,4,2,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,7,6,5,4,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,7,6,5,3,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,1,6,4,5,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,5,1,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,8,6,5,4,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,6,2,4,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,6,7,1,2,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,4,2,3,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,6,3,8,1,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,4,2,3,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,6,1,4,8,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,5,2,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,5,2,6,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,6,2,4,7,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,6,5,8,1,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,7,4,8,1,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,6,7,2,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,7,1,4,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,7,2,4,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,3,8,1,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,6,3,8,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,6,7,2,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,6,8,2,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,6,4,7,8,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,1,5,8,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,2,8,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,1,8,5,2,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,1,7,5,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,2,8,1,6,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,7,8,5,1,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,8,7,1,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,8,7,1,2,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,8,7,1,2,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,7,6,1,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,7,6,1,2,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,8,7,1,2,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,8,7,1,3,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,8,7,1,6,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,7,6,1,3,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,7,6,1,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,3,1,4,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,7,4,5,1,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,7,8,5,3,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,3,8,1,2,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,1,4,5,3,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,8,4,1,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,8,4,2,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,1,4,8,6,3,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,5,3,1,8,4,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,3,1,2,5,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,1,4,2,6,5,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,4,6,7,8,9,1,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,4,5,6,7,8,9,1,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,4,5,6,1,9,7,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,4,5,1,8,9,6,7] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,3,4,1,7,8,9,5,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,1,6,7,8,9,4,5] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => 5

[2,3,5,6,7,8,9,10,1,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[1,4,5,6,7,8,9,2,3] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[3,4,5,6,7,8,9,10,1,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[3,6,4,5,7,2,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,2,7,4,6,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,3,6,2,4,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,2,5,1,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,3,6,2,7,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,6,3,4,5,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,5,7,3,6,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,6,3,4,5,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,3,1,2,8,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,5,2,3,7,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,2,1,8,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,3,2,8,4,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,2,3,1,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,6,2,7,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,3,5,2,7,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,5,2,3,6,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,1,5,7,2,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,8,3,7,1,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,2,7,1,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,1,5,8,4,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,1,6,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,4,8,7,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,2,8,7,1,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,8,3,7,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,8,2,3,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,3,8,2,5,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,8,7,1,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,7,3,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,6,1,3,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,8,7,2,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,8,7,6,1,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,3,7,5,1,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,6,2,5,1,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,7,3,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,3,7,2,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,1,3,6,2,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,3,6,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,3,2,6,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,4,3,2,7,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,3,2,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,4,3,2,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,3,2,5,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,4,3,2,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,3,1,2,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,3,6,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,8,3,6,2,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,8,3,2,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,3,2,5,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,3,2,8,6,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,3,2,8,7,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,8,7,2,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,8,7,1,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,4,1,7,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,3,2,1,8,6,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,4,1,3,2,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,1,3,8,2,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,1,8,3,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,1,4,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,1,3,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,7,8,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,3,7,2,8,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,3,7,2,1,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,3,2,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,8,3,1,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,8,4,1,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,4,8,1,7,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,3,8,1,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,3,2,8,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,7,2,1,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,7,1,2,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,3,2,7,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,3,2,6,8,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,2,1,3,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,1,2,5,8,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,8,4,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,2,1,8,7,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,2,8,1,3,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,7,1,8,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,2,6,3,4,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,2,6,3,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,2,7,3,5,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,8,3,5,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,2,8,3,6,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,2,8,4,6,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,7,4,6,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,2,7,3,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,6,2,7,3,5,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,2,4,3,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,2,4,3,8,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,2,4,3,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,2,5,3,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,2,6,3,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,8,4,7,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,2,8,3,7,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,2,7,3,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,3,7,2,5,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,6,3,7,5,2,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,6,2,7,5,3,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,8,4,1,6,2,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,7,8,4,1,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,8,4,1,3,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,8,4,2,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,8,2,4,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,6,8,5,1,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,6,8,5,1,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,8,2,4,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,8,4,2,1,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,8,4,1,3,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,8,4,1,2,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,8,4,1,2,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,8,1,5,2,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,8,1,5,3,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,8,1,3,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,2,1,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,2,8,1,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,7,8,1,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,8,2,1,6,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,8,1,5,4,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,8,1,5,4,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,8,1,4,5,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,8,1,4,5,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,8,1,3,4,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,8,2,1,4,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,7,8,1,5,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,6,8,4,1,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,8,3,2,1,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,8,3,1,4,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,3,1,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,8,3,1,6,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,3,8,1,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,3,8,1,5,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,3,8,1,2,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,8,3,1,2,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,3,1,2,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,8,3,1,4,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,8,3,2,1,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,8,2,1,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,1,3,4,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,8,1,4,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,1,4,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,1,2,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,1,2,4,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,8,2,1,3,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,1,3,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,8,1,2,4,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,8,1,2,3,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,8,5,1,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,7,5,4,2,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,5,4,1,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,5,4,3,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,6,5,7,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,4,5,3,7,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,4,3,5,6,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,4,5,6,1,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,3,7,5,2,4,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,2,3,8,5,1,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,3,2,8,5,1,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,4,8,2,5,6,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,5,2,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,7,5,2,1,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,7,5,1,2,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,7,1,5,6,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,1,7,5,2,8,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,2,7,6,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,2,1,7,5,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,5,7,1,4,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,2,7,4,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,8,7,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,5,8,2,7,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,8,4,2,3,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,5,8,3,7,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,5,7,3,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,1,8,7,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,3,8,4,6,2,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,4,8,6,5,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,3,5,8,6,1,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,4,7,8,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,6,2,7,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,4,7,1,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,6,4,1,8,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,6,1,4,8,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,5,6,8,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,6,5,8,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,1,6,3,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,4,1,7,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,4,2,7,8,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,4,7,2,8,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,4,7,8,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,4,5,7,1,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,4,6,1,7,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,3,2,5,4,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,1,6,5,4,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,5,4,3,2,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,7,4,3,1,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,7,1,5,4,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,1,8,5,4,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,8,4,3,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,7,4,3,6,5,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,7,5,6,3,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,8,6,7,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,7,6,1,8,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,6,5,7,3,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,6,7,2,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,6,7,1,8,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,2,1,6,7,8,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,1,5,7,3,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,6,2,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,3,2,6,8,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,3,2,7,8,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,3,2,7,1,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,3,2,8,7,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,3,2,7,6,5,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,5,8,1,2,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,5,1,8,2,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,6,8,7,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,5,8,7,2,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,5,7,6,2,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,7,8,5,4,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,8,1,6,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,8,7,1,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[6,5,4,3,2,1,12,11,10,9,8,7] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[12,11,10,9,8,7,6,5,4,3,2,1] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[7,4,6,1,8,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,4,1,7,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,3,1,7,5,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,2,1,7,5,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,6,2,7,5,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,5,2,6,8,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,2,1,6,8,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,4,3,1,7,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,7,5,1,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,6,1,8,3,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,6,5,7,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,5,1,8,4,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,4,1,7,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,2,1,6,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,4,2,6,7,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,2,1,7,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,4,1,6,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,5,1,6,8,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,6,1,7,5,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,1,6,5,8,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,6,5,7,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,1,2,6,7,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,1,2,7,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,1,2,7,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,1,5,8,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,5,8,3,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,1,6,8,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,6,7,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,5,1,7,4,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,6,4,7,1,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,5,2,7,4,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,2,5,8,3,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,5,7,6,2,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,2,6,8,4,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,2,6,5,7,1,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,5,7,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,3,2,7,6,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,1,3,7,6,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,2,3,7,6,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,1,3,7,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,3,5,7,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,1,3,5,8,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,4,7,6,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,9,5,6,10,1,2,3,4] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[8,7,9,3,4,10,1,2,5,6] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[8,6,9,3,4,10,1,2,5,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,4,8,2,5,9,1,3,6,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[6,3,2,1,4,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,8,5,6,1,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,1,2,3,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,6,7,8,3,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,4,8,1,7,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,3,8,1,2,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,4,5,2,7,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,2,7,8,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,1,8,6,5,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,8,1,2,7,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,7,3,5,1,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,3,6,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,3,6,5,2,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,7,1,8,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,3,6,5,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,7,1,6,2,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,7,1,2,6,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,7,2,5,3,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,4,8,7,1,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,8,3,7,4,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,4,8,1,7,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,7,2,3,5,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,1,7,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,7,2,1,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,1,2,3,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,6,2,1,4,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,2,7,1,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,7,5,3,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,3,5,4,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,2,7,3,1,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,6,2,4,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,1,4,2,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,4,1,3,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,7,5,4,3,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,7,1,3,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,7,1,2,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,7,1,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,6,5,7,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,5,6,7,4,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,5,1,7,2,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,3,1,7,2,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,1,3,7,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,7,4,5,3,6,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,8,5,7,2,1,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,3,7,2,1,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,3,1,4,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,8,7,4,3,5,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,7,3,4,5,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,1,5,4,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,1,5,2,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,2,1,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,2,1,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,2,3,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,2,5,1,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,4,3,1,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,4,1,3,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,1,2,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,4,1,6,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,4,1,6,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,1,3,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,3,1,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,5,1,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,5,3,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,5,1,7,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,3,1,7,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,4,1,6,5,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,4,1,6,2,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,5,2,1,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,4,3,6,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,7,6,4,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,7,6,4,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,7,6,4,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,7,6,4,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,4,3,6,2,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,5,2,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,2,3,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,4,2,6,5,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,4,2,6,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,7,6,4,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,1,7,6,5,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,1,5,4,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,1,5,4,7,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,7,6,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,4,2,6,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,2,3,7,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,2,5,4,7,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,5,4,7,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,7,6,5,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,4,3,6,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,5,1,3,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,5,1,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,5,4,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,4,3,6,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,7,6,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,7,6,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,7,6,1,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,5,1,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,5,1,8,4,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,6,2,1,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,5,2,7,4,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,6,4,1,8,5,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,2,1,8,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,4,1,7,8,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,7,1,6,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,1,2,8,5,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,1,2,8,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,2,5,8,3,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,6,2,5,7,3,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,1,5,8,7,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,1,5,8,6,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,5,1,8,4,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,1,4,8,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,1,4,8,7,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,2,4,7,3,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,4,1,3,8,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,4,8,3,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,3,8,7,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,4,6,8,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,2,4,8,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,3,1,6,4,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,5,2,3,1,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,7,3,5,2,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,5,2,4,1,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,5,2,4,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,4,1,6,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,3,5,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,4,1,5,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,3,4,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,5,7,3,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,3,4,1,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,4,5,3,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,8,6,7,4,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,8,6,7,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,3,4,1,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,6,2,7,3,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,8,5,7,4,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,8,5,7,4,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,7,4,6,3,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,7,3,6,2,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,2,7,3,5,1,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,8,4,7,3,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,7,3,6,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,4,1,7,3,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,3,6,2,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,7,4,6,2,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,4,6,2,3,1,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,3,1,7,4,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,3,1,7,5,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,4,2,8,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,5,6,2,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,6,2,4,1,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,2,8,6,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,6,3,8,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,2,8,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,6,2,5,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,8,4,6,2,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,8,5,6,2,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,5,6,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,4,8,5,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,8,4,5,1,6,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,4,5,1,7,3,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,6,2,8,4,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,5,6,1,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,8,4,7,2,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,1,4,7,2,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,8,2,5,7,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,4,5,6,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,8,1,5,4,6,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,2,1,6,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,3,5,6,4,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,1,4,2,3,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,4,5,3,1,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,1,4,3,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,4,8,3,7,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,4,6,8,3,7,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,8,1,4,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,2,4,7,3,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,2,1,4,7,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,2,5,3,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,1,3,6,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,3,6,2,4,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,7,3,6,1,4,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,6,7,2,1,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,7,5,2,4,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,1,2,4,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,7,2,5,3,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,1,8,4,2,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,7,5,8,2,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,6,7,8,1,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,5,7,8,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,7,6,1,4,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,5,7,6,8,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,5,6,8,4,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,6,8,4,5,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,5,6,7,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,8,1,6,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,8,5,4,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,7,8,1,2,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,3,8,5,2,6,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,8,6,1,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,4,3,8,2,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,3,4,8,2,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,5,4,1,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,4,5,1,7,8,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,4,1,8,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,6,4,8,5,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,5,6,3,8,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,2,7,1,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,2,7,3,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,6,4,1,8,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,5,2,4,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,4,2,3,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,5,3,4,2,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,5,3,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,5,4,3,1,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,2,4,3,1,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,8,1,3,7,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,3,5,6,4,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,1,6,4,5,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,3,5,4,1,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,8,1,3,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,4,1,5,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,8,3,1,2,4,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,3,5,7,1,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,5,3,6,8,4,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,7,8,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,3,7,6,1,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,7,8,1,4,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,8,4,6,1,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,1,8,6,3,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,8,7,6,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,4,3,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,2,8,7,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,7,1,6,4,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,1,3,8,6,7,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,6,4,2,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,7,4,1,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,6,1,8,4,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,7,1,2,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,2,7,5,1,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,1,7,3,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,6,3,1,2,7,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,3,1,7,6,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,6,5,8,7,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,3,1,6,8,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,7,5,8,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,7,5,2,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,2,6,8,5,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,2,5,4,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,8,3,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,8,3,1,5,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,7,4,5,1,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,1,7,8,3,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,2,3,6,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,4,6,2,8,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,3,4,6,1,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,8,4,6,1,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,8,1,7,3,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,8,3,1,7,2,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,8,4,7,1,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,4,7,3,1,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,8,2,7,1,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,4,1,2,6,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,4,2,7,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,2,8,5,3,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,8,5,3,1,7,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,3,7,1,2,4,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,6,3,7,2,8,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,7,8,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,8,2,7,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,5,6,8,1,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,3,5,6,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,2,3,7,8,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,7,3,4,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,7,1,5,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,4,7,2,5,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,8,7,1,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,7,6,1,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,8,7,6,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,7,2,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,8,2,7,6,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,8,1,7,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,8,7,1,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,7,2,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,8,2,7,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,2,8,7,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,3,2,6,5,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,8,7,6,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,1,8,7,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,8,7,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,8,1,7,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,8,1,7,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,1,7,5,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,7,1,5,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,7,1,2,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,6,2,5,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,1,2,8,7,6,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,3,8,7,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,4,8,7,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,3,7,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,3,6,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,3,6,8,2,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,1,8,2,4,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,5,2,8,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,6,5,8,2,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,2,6,5,4,8,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,5,4,2,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,5,2,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,3,5,2,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,5,1,8,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,5,2,8,7,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,4,2,8,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,2,8,3,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,5,3,8,7,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,2,8,6,3,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,4,2,8,7,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,1,8,7,3,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,2,1,8,3,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,5,2,6,3,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,2,7,5,3,8,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,2,6,3,8,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,2,7,6,3,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,7,4,2,8,3,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,1,8,6,2,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,7,1,8,2,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,6,2,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,3,2,4,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,4,2,8,3,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,8,5,2,7,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,1,7,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,6,4,2,7,3,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,5,2,6,3,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,2,7,3,8,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,8,5,3,7,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,7,6,3,8,5,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,2,8,5,3,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,4,2,8,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,7,3,2,6,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,7,3,6,5,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,8,7,6,2,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,7,6,3,4,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,8,6,2,4,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,1,6,2,4,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,5,2,7,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,4,5,3,7,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,4,5,3,8,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,4,5,3,7,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,8,6,2,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,8,6,3,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,4,5,3,8,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,4,5,3,6,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,4,5,3,6,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,4,1,5,2,6,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,3,5,7,2,1,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,5,8,2,1,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,5,7,2,1,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,5,7,3,6,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,5,8,3,7,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,6,2,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,1,6,2,4,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,5,2,6,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,5,8,2,1,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,4,1,8,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,6,2,1,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,6,7,1,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,7,2,1,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,5,6,3,1,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,5,6,3,1,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,5,6,2,8,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,5,8,2,1,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,5,6,2,1,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,6,5,1,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,6,8,1,3,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,6,5,8,3,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,5,6,1,4,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,1,3,6,5,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,6,8,4,3,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,6,1,8,3,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,6,1,4,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,5,1,2,8,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,1,5,2,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,1,6,3,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,6,7,4,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,7,2,4,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,4,1,8,7,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,6,1,7,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,6,1,4,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,4,3,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,6,5,4,2,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,6,5,2,7,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,5,4,1,3,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,5,4,2,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,2,6,5,1,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,1,7,6,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,7,3,6,2,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,7,5,3,2,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,5,2,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,7,6,3,4,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,8,3,7,4,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,7,2,6,3,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,8,3,2,7,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,1,8,4,7,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,7,1,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,7,2,1,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,1,3,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,1,5,3,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,7,2,6,5,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,7,1,4,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,1,4,3,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,8,3,2,1,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,7,3,1,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,4,8,2,7,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,3,8,1,5,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,4,2,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,1,4,2,6,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,6,1,3,4,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,2,1,5,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,7,2,1,3,6,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,1,2,5,4,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,1,2,3,5,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,1,2,4,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,2,1,3,5,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,8,5,1,2,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,5,6,8,1,7,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,5,6,8,2,3,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,7,8,1,6,3,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,7,2,8,1,5,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,1,2,7,4,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,3,4,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,6,1,4,8,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,6,4,2,8,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,3,1,8,2,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,1,3,8,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,7,4,8,3,6,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,7,4,8,6,3,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,1,3,8,6,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,3,1,8,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,3,8,1,5,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,3,8,5,2,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,8,3,1,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,7,8,4,5,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,1,8,3,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,2,1,8,3,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,2,8,3,1,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,7,8,4,1,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,8,1,5,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,2,8,5,3,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,2,1,8,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,7,3,8,6,4,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,7,1,8,2,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,2,4,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,1,8,5,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,4,2,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,8,7,1,4,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,1,2,7,8,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,1,4,8,3,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,3,5,1,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,7,4,2,8,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,1,6,2,4,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,6,7,1,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,7,1,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,6,1,2,5,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,1,8,7,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,6,4,2,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,6,3,4,7,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,6,3,5,4,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,7,6,5,3,4,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,4,3,1,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,4,2,7,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,1,7,2,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,6,5,3,4,8,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,6,3,1,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,8,4,2,7,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,3,1,7,2,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,2,6,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,1,6,2,5,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,1,3,7,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,3,1,8,4,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,3,8,4,5,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,1,8,4,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,7,4,2,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,2,7,3,4,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,6,1,7,3,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,5,6,8,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,8,2,7,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,1,8,7,4,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,4,7,5,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,3,7,6,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,8,1,7,2,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,8,2,4,7,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,2,8,6,3,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,8,7,4,5,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,8,7,5,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,7,6,3,5,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,8,6,5,3,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,8,7,6,3,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,6,8,7,4,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,7,2,5,4,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,7,6,4,5,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,6,5,3,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,7,6,5,4,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,6,7,3,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,6,7,3,5,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,6,7,4,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,5,7,4,6,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,5,7,3,6,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,3,6,4,5,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,3,7,4,5,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,3,7,4,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,1,8,5,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,1,8,5,6,2,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,7,2,8,5,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,3,8,5,6,1,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,7,4,8,5,6,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,2,7,4,6,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,7,4,5,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,2,6,4,5,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,1,6,4,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,4,8,5,6,2,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,3,8,5,6,2,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,7,3,8,4,6,2,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,1,7,3,6,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,1,7,3,5,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,2,6,3,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,2,7,3,6,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,3,8,4,6,1,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,8,4,7,2,6,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,5,7,2,6,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,7,3,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,7,3,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,6,7,3,5,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,6,7,3,5,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,6,7,2,5,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,6,7,1,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,6,7,1,5,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,2,8,6,7,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,1,8,6,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,1,8,5,7,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,8,5,7,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,5,7,1,6,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,4,7,1,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,3,7,1,5,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,2,8,4,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,1,8,4,7,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,6,2,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,1,6,2,7,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,1,5,2,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,2,6,1,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => 2

[1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => 2

[5,7,4,6,2,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,4,5,3,7,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,8,4,6,3,7,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,3,8,2,7,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,4,8,2,7,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,4,5,2,7,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,4,5,2,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,4,6,2,3,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,3,8,2,5,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,3,6,2,4,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,3,5,2,4,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,3,5,2,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,3,6,2,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,3,7,2,8,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,4,8,2,6,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,3,6,2,8,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,3,6,2,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,4,8,2,5,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,3,4,2,8,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,4,8,2,3,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,4,7,2,3,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,4,6,2,3,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,3,6,2,4,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,3,7,2,4,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,3,7,2,5,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,3,5,2,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,3,7,2,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,5,3,7,2,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,3,8,2,7,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,3,4,2,7,1,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,3,4,2,6,1,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,5,3,8,2,6,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,3,6,2,8,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,5,2,1,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,5,2,1,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,2,1,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,4,2,3,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,3,1,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,1,3,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,8,1,7,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,1,6,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,8,1,6,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,1,3,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,5,3,1,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,1,3,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,8,1,7,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,7,2,1,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,7,6,4,2,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,6,3,7,2,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,2,8,7,4,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,8,7,4,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,8,6,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,2,8,6,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,5,2,4,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,8,6,2,3,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,7,6,3,2,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,7,5,3,2,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,4,2,3,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,4,2,6,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,7,2,6,3,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,6,2,7,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,8,7,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,8,6,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,6,7,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,6,8,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,6,2,8,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,2,8,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,2,7,5,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,8,6,7,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,6,7,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,4,3,7,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,6,7,3,1,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,5,8,1,3,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,5,8,1,4,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,5,7,4,1,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,4,3,8,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,2,6,8,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,6,8,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,6,8,1,4,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,7,8,1,2,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,3,7,4,6,5,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,8,7,4,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,2,5,4,7,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,7,5,4,8,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,3,5,4,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,5,4,3,8,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,5,3,4,8,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,4,3,5,6,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,7,5,1,8,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,7,2,5,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,8,2,4,7,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,2,8,4,1,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,2,1,4,8,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,1,8,5,2,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,2,8,6,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,1,2,6,8,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,1,6,3,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,8,5,2,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,6,7,2,1,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,6,4,2,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,5,8,3,1,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,5,6,3,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,2,3,6,5,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,1,3,8,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,7,3,2,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,7,3,1,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,2,4,1,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,6,3,4,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,6,7,4,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,8,7,2,4,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,1,3,7,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,1,3,8,7,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,8,3,1,7,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,3,7,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,2,3,4,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,8,3,2,4,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,8,7,6,5,4,3,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[8,9,7,6,5,4,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,7,6,5,4,3,9,2,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[8,7,6,5,4,3,2,9,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[8,7,6,5,4,3,2,1,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[9,10,8,7,6,5,4,3,2,1] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[7,8,9,6,5,4,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,7,6,5,3,4,9,2,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,7,6,5,4,2,3,9,1] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[8,7,6,5,4,3,1,2,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,8,7,6,5,4,3,2,10,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[9,8,7,6,5,4,3,2,1,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[1,4,2,7,8,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,3,2,8,6,4,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,5,7,8,6,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,8,3,5,1,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,4,8,5,7,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,2,1,4,3,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,2,3,1,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,4,2,6,8,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,5,3,4,6,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,6,3,1,8,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,7,4,3,2,5,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,8,3,2,6,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,8,2,4,6,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,8,4,2,7,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,2,8,3,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,4,5,3,8,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,4,1,2,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,2,6,8,1,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,4,3,2,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,2,8,7,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,4,6,5,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,5,4,6,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,6,5,1,3,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,6,4,5,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,5,6,4,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,6,5,4,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,5,4,2,8,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,4,8,2,7,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,6,8,2,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,7,6,2,8,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,7,2,8,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,4,5,2,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,5,1,2,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,2,8,1,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,8,7,1,3,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,6,2,8,7,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,2,6,4,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,6,3,4,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,2,7,4,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,7,2,6,8,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,4,2,7,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,2,7,6,8,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,2,6,8,7,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,8,4,6,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,2,7,6,4,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,4,3,2,5,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,3,4,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,2,7,8,3,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,6,3,4,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,2,6,8,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,7,2,8,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,8,3,4,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,3,8,7,5,6,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[11,10,1,2,3,4,5,6,7,8,9] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[4,7,8,5,6,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,4,2,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,3,8,2,1,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,8,3,2,1,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,3,7,2,1,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,3,8,2,1,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,3,2,1,6,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,2,1,7,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,3,2,1,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,4,3,2,1,8,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,2,8,7,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,5,7,8,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,4,7,3,8,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,4,2,7,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,3,4,1,2,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,5,3,7,2,6,4,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,5,7,4,2,6,3,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,5,8,4,2,6,1,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,7,8,5,6,3,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,8,3,7,5,1,4,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,7,3,8,1,6,2,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,5,2,4,1,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,5,8,3,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,4,2,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,8,3,2,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,7,5,1,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,7,1,3,2,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,1,3,7,2,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,1,4,2,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,5,1,4,3,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,1,4,3,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,1,4,2,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,6,1,5,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,6,3,1,5,2,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,3,6,4,1,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,6,1,7,2,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,4,1,2,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,3,1,7,2,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,6,2,1,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,2,7,1,3,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,2,7,3,1,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,7,2,3,1,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,2,1,7,3,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,7,2,4,5,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,2,4,8,5,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,1,4,6,8,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,2,1,5,7,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,1,5,3,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,4,1,5,6,2,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,5,1,3,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,5,1,2,7,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,5,1,7,2,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,6,4,1,3,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,6,5,1,7,2,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,1,8,5,4,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,5,1,2,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,2,8,1,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,6,2,7,1,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,6,2,7,1,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,8,6,3,7,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,6,2,8,7,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,2,7,8,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,6,7,2,8,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,8,6,7,3,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,6,8,7,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,7,2,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,1,8,6,7,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,3,2,6,7,5,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,6,1,7,4,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,6,1,7,4,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,6,8,7,1,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,6,7,8,1,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,6,7,1,3,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,8,6,7,4,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,8,6,7,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,4,3,7,1,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,7,3,2,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,5,8,3,2,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,2,4,7,1,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,6,7,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,5,6,8,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,1,5,8,2,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,4,6,1,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,4,6,1,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,5,1,7,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,3,2,4,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,6,1,8,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,6,1,7,3,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,5,8,7,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,4,1,8,7,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,5,1,7,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,4,1,8,5,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,4,1,7,5,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,4,1,6,8,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,4,1,8,5,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,3,2,4,7,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,2,3,7,5,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,6,1,8,3,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,6,1,8,3,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,6,1,7,3,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,2,3,8,5,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,1,6,4,2,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,1,6,4,2,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,4,8,6,1,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,2,6,1,8,5,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,6,1,7,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,1,6,7,4,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,2,4,1,8,6,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,4,1,5,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,8,5,1,7,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,1,6,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,5,1,8,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,7,3,1,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,3,7,1,8,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,6,1,7,5,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,7,4,1,6,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,5,7,4,1,6,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,7,3,6,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,7,8,3,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,7,5,1,8,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,3,8,5,1,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,4,3,6,1,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,8,3,6,1,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,4,6,1,7,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,5,8,1,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,8,4,1,6,7,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,6,2,1,8,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,8,2,1,6,3,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,8,4,1,6,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,5,6,1,8,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,2,8,1,6,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,1,6,8,5,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,6,7,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,6,7,1,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,7,2,6,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,5,7,1,6,8,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,5,7,1,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,3,2,7,1,5,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,2,7,1,5,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,2,7,8,1,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,2,6,1,7,8,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,7,5,3,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,1,8,5,3,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,3,2,7,1,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,1,4,7,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,1,4,7,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,2,1,7,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,2,1,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,2,1,8,3,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,3,2,7,1,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,2,8,1,7,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,2,8,1,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,4,7,5,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,2,1,8,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,9,8,7,6,5,4,3,2] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[8,7,6,4,5,3,2,1,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[1,9,8,7,5,6,4,3,2] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[1,10,9,8,7,6,5,4,3,2] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[10,9,8,7,6,5,4,3,2,1,11] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[9,8,7,5,6,4,3,2,1,10] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[8,7,5,4,6,3,2,1,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[8,7,4,6,5,3,2,1,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,9,8,6,5,7,4,3,2] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,9,8,5,7,6,4,3,2] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,10,9,8,6,7,5,4,3,2] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,11,10,9,8,7,6,5,4,3,2] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[6,2,3,1,5,4,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,5,2,3,1,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,7,2,5,3,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,5,3,4,1,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,5,3,4,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,5,2,4,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,1,3,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,5,3,4,2,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,5,1,4,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,2,4,1,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,7,5,6,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,3,4,2,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,5,1,3,2,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,4,5,3,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,6,7,4,5,1,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,7,3,5,1,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,3,6,1,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,7,4,6,2,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,3,6,4,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,7,5,6,3,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,7,5,6,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,4,7,5,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,7,1,6,2,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,7,2,6,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,3,6,4,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,7,1,6,3,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,7,2,4,3,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,8,3,7,4,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,1,4,3,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,7,5,6,3,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,5,6,2,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,7,2,3,1,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,3,1,8,5,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,3,2,8,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,6,7,2,3,1,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,3,1,7,5,6,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,7,2,6,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,7,1,5,2,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,7,1,3,2,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,8,6,7,3,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,3,7,5,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,3,2,7,5,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,7,4,6,3,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,7,2,6,3,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,7,2,6,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,7,1,6,2,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,8,5,7,3,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,7,4,6,1,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,4,6,3,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,1,6,3,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,8,7,3,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,2,8,4,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,7,8,4,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,7,8,2,4,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,7,8,2,4,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,7,8,4,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,1,8,4,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,7,3,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,7,8,1,4,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,3,8,5,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,5,8,3,4,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,5,4,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,3,5,4,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,4,5,3,1,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,8,5,2,3,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,5,8,2,4,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,1,2,8,5,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,2,1,8,5,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,6,8,4,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,1,8,3,4,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,5,8,1,4,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,5,8,3,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,8,5,4,3,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,5,1,3,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,8,1,4,3,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,8,6,3,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,8,3,6,5,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,4,1,3,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,1,5,3,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,8,5,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,5,4,3,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,8,4,2,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,3,2,8,5,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,3,2,8,5,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,2,8,5,4,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,2,5,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,4,3,5,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,3,1,8,5,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,4,8,5,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,3,2,4,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,5,2,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,4,8,2,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,5,4,3,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,4,3,8,6,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,7,4,8,5,3,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,2,7,4,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,1,5,4,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,1,4,3,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,2,8,7,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,4,8,1,7,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,4,2,8,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,6,2,8,4,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,7,2,8,4,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,7,1,4,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,2,8,4,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,2,7,8,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,2,8,4,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,1,2,8,3,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,1,3,2,4,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,2,7,3,5,8,4,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,1,3,7,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,2,5,8,3,7,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,1,7,3,5,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,8,1,7,3,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,2,8,4,3,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,1,7,5,3,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,2,8,6,4,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,1,2,8,6,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,7,4,8,1,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,7,1,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,1,7,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,3,4,1,8,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,3,4,1,8,2,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,8,3,4,1,7,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,4,1,6,2,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,8,3,4,1,5,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,7,3,4,1,5,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,3,4,1,6,2,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,6,2,8,3,5,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,3,5,1,6,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,8,3,5,1,6,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,3,5,1,7,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,3,5,1,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,6,2,3,1,7,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,2,4,1,8,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,2,4,1,7,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,2,5,1,7,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,2,5,1,8,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,7,3,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,2,7,3,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,7,4,8,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,2,8,3,7,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,2,1,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,3,5,2,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,1,4,5,2,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,7,3,5,1,4,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,8,5,7,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,3,5,1,7,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,8,1,5,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,8,1,3,5,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,7,4,1,6,3,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,8,3,6,1,4,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,8,1,2,5,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,1,7,4,5,2,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,7,4,5,1,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,4,1,6,3,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,3,6,2,4,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,3,2,1,4,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,3,5,2,1,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,4,5,7,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,8,4,5,7,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,5,8,3,6,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,8,3,6,1,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,8,2,5,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,4,8,1,5,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,8,2,1,5,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,8,2,5,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,1,8,5,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,4,7,9,10,1,3,5,6,8] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,4,8,9,10,1,3,5,6,7] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[2,6,7,8,10,1,3,4,5,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[2,6,7,9,10,1,3,4,5,8] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,4,6,9,10,1,2,5,7,8] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[3,5,6,8,10,1,2,4,7,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,5,8,9,10,1,2,4,6,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,6,7,8,10,1,2,4,5,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,6,7,9,10,1,2,4,5,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[4,5,6,8,10,1,2,3,7,9] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[4,5,7,9,10,1,2,3,6,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,5,8,9,10,1,2,3,6,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[5,7,8,9,10,1,2,3,4,6] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,4,7,8,10,12,1,3,5,6,9,11] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[2,5,6,9,10,12,1,3,4,7,8,11] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[2,5,8,10,11,12,1,3,4,6,7,9] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[2,7,8,9,10,12,1,3,4,5,6,11] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[3,4,6,9,11,12,1,2,5,7,8,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,4,7,8,11,12,1,2,5,6,9,10] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[3,4,9,10,11,12,1,2,5,6,7,8] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,5,6,8,11,12,1,2,4,7,9,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,5,7,9,11,12,1,2,4,6,8,10] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[3,5,7,10,11,12,1,2,4,6,8,9] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[3,7,8,9,11,12,1,2,4,5,6,10] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[4,5,6,10,11,12,1,2,3,7,8,9] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[4,5,7,9,11,12,1,2,3,6,8,10] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[4,6,7,9,10,12,1,2,3,5,8,11] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[4,6,8,10,11,12,1,2,3,5,7,9] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,6,7,8,11,12,1,2,3,4,9,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,6,9,10,11,12,1,2,3,4,7,8] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[7,8,9,10,11,12,1,2,3,4,5,6] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[4,5,7,6,2,3,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,7,2,6,4,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,7,3,6,1,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,8,3,7,6,1,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,4,7,6,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,3,2,7,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,2,1,7,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,1,2,8,5,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,2,1,7,6,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,7,6,8,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,8,7,2,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,8,7,6,1,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,2,8,1,5,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,7,8,1,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,8,7,1,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,8,1,7,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,8,2,7,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,3,7,6,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,7,8,2,6,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,2,7,6,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,2,3,7,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,1,8,4,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,5,8,2,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,1,5,8,3,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,5,1,8,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,5,1,8,7,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,4,1,8,7,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,5,1,8,7,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,6,1,8,7,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,6,1,8,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,1,3,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,6,1,2,8,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,6,1,8,2,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,1,5,8,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,1,5,8,3,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,6,1,3,8,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,5,3,1,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,2,4,3,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,3,4,2,7,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,3,1,2,8,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,4,1,2,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,1,4,2,8,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,1,3,2,8,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,7,2,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,2,4,8,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,2,1,8,3,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,5,2,7,3,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,4,2,3,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,1,2,3,8,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,2,3,1,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,2,4,1,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,1,4,8,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,3,2,4,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,3,4,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,3,6,1,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,5,3,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,5,1,8,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,6,5,8,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,1,5,8,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,6,5,8,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,5,8,3,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,4,3,8,7,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,6,8,5,3,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,4,6,1,8,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,6,8,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,6,8,5,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,6,1,8,5,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,8,3,5,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,6,8,3,5,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,3,8,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,3,6,8,1,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,3,1,6,8,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,1,3,6,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,3,6,8,1,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,6,3,8,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,6,8,3,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,1,6,8,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,8,1,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,4,8,7,1,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,4,8,1,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,4,8,7,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,1,4,8,7,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,2,8,7,5,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,3,7,4,5,8,2,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,6,3,4,8,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,6,3,8,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,4,5,8,3,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,1,4,7,3,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,1,7,5,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,1,7,3,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,1,3,8,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,6,1,5,8,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,4,8,3,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,5,3,4,1,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,3,5,2,1,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,4,8,7,1,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,4,8,7,2,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,8,7,1,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,8,3,7,1,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,1,6,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,8,1,4,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,2,1,5,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,7,5,8,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,7,6,8,1,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,2,1,8,7,5,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,2,1,7,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,7,8,1,3,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,6,1,8,4,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,3,8,5,1,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,7,1,8,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,2,7,8,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,7,5,4,8,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,8,5,4,6,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,7,5,4,6,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,6,3,8,7,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,3,5,4,7,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,2,5,4,8,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,1,5,4,8,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,6,2,8,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,6,1,8,2,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,8,5,4,1,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,5,1,6,3,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,1,5,7,3,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,7,8,4,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,6,4,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,2,1,4,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,2,5,7,3,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,6,1,5,7,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,8,5,7,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,1,5,2,3,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,7,5,2,3,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,2,3,5,4,1,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,3,5,4,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,3,8,1,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,3,4,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,5,8,4,3,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,8,7,4,3,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,1,8,4,3,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,8,1,4,3,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,7,1,4,3,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,4,6,1,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,8,1,2,3,4,5,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[7,8,9,1,2,3,4,5,6] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => 5

[9,8,7,1,2,3,4,5,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,6,7,8,1,2,3,4,5] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[9,8,6,7,1,2,3,4,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,8,7,6,1,2,3,4,5] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,8,5,6,7,1,2,3,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,7,8,5,6,1,2,3,4] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[9,8,7,5,6,1,2,3,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,8,7,6,5,1,2,3,4] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[7,8,9,4,5,6,1,2,3] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[9,8,7,6,4,5,1,2,3] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,8,7,6,5,4,1,2,3] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,8,7,5,6,3,4,1,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,8,7,6,5,3,4,1,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[9,8,7,6,5,4,3,1,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,10,1,2,3,4,5,6,7,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[10,8,9,1,2,3,4,5,6,7] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[10,9,8,1,2,3,4,5,6,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,8,9,10,1,2,3,4,5,6] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[9,10,7,8,1,2,3,4,5,6] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[10,9,8,7,1,2,3,4,5,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,6,7,8,1,2,3,4,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,8,7,6,1,2,3,4,5] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[9,10,5,6,7,8,1,2,3,4] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[10,9,8,5,6,7,1,2,3,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,10,7,8,5,6,1,2,3,4] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[10,9,8,7,5,6,1,2,3,4] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[10,9,8,7,6,5,1,2,3,4] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,7,8,9,4,5,6,1,2,3] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,8,7,4,5,6,1,2,3] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,9,8,6,7,4,5,1,2,3] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[10,9,8,7,6,4,5,1,2,3] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,9,8,7,6,5,4,1,2,3] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[9,10,7,8,5,6,3,4,1,2] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[10,9,8,7,5,6,3,4,1,2] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[10,9,8,7,6,5,3,4,1,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,9,8,7,6,5,4,3,1,2] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[3,4,6,2,7,1,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,7,5,4,1,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,6,2,8,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,2,5,4,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,6,8,1,7,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,6,1,7,5,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,4,6,2,8,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,1,7,8,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,4,1,6,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,3,2,1,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,4,3,2,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,7,2,5,1,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,7,2,8,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,7,2,8,1,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,6,1,7,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,2,1,4,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,5,2,1,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,4,1,3,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,2,1,4,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,3,2,1,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,2,8,6,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,5,4,3,2,1,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,8,9,7,6,5,4,3,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[7,8,3,5,4,6,1,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,6,3,7,5,2,4,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,4,1,6,3,2,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,1,6,2,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,1,6,2,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,5,1,8,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,6,5,1,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,6,4,1,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,6,1,5,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,6,1,4,8,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,5,1,8,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,6,1,5,8,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,6,4,1,8,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,6,3,8,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,7,6,3,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,5,8,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,3,5,8,7,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,5,4,8,1,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,8,7,5,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,5,4,8,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,5,6,8,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,5,6,8,1,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,1,5,8,7,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,1,5,8,3,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,1,6,3,8,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,1,5,8,3,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,5,8,2,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,7,8,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,3,6,1,8,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,5,8,6,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,8,1,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,3,5,8,2,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,5,8,3,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,6,2,5,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,2,7,1,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,4,7,1,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,1,7,2,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,7,2,6,3,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,8,1,7,5,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,7,4,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,3,7,2,6,4,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,8,1,7,2,6,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,2,7,1,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,7,5,6,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,3,7,5,6,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,8,4,7,5,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,3,7,1,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,1,7,3,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,8,6,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,1,8,6,2,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,8,6,1,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,3,5,6,2,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,8,6,2,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,7,8,2,6,3,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,6,3,7,8,5,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,4,7,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,4,8,6,1,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,1,3,6,7,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,7,4,2,6,8,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,1,2,8,7,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,3,1,4,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,6,1,2,8,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,6,2,8,1,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,2,5,6,1,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,6,8,4,7,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,2,5,4,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,2,5,7,3,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,5,8,3,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,2,6,8,4,3,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,6,5,4,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,6,5,8,3,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,8,4,3,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,7,6,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,1,8,4,3,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,1,5,4,3,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,1,5,4,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,1,5,7,3,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,6,7,1,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,6,1,7,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,6,1,4,7,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,6,1,4,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,5,1,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,8,2,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,2,8,4,3,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,8,2,4,3,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,6,2,8,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,6,2,4,7,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,6,2,4,8,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,3,8,4,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,3,5,8,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,1,4,3,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,3,1,4,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,6,3,2,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,5,1,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,5,1,3,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,2,6,5,1,3,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,6,5,7,1,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,6,8,4,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,6,5,8,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,6,5,1,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,1,2,3,4,5,6,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[1,8,9,2,3,4,5,6,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[5,6,4,3,8,7,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,2,4,7,8,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,7,2,8,1,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,8,4,5,6,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,6,4,8,7,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,5,2,7,3,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,7,5,1,8,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,1,3,4,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,8,7,4,2,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,3,6,5,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,3,5,4,2,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,8,7,1,2,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,8,2,1,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,6,4,5,3,8,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,5,4,3,1,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,5,8,2,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,8,5,7,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,8,6,2,7,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,8,6,1,7,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,5,7,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,6,5,7,1,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,5,8,1,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,7,6,8,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,8,6,1,7,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,3,6,7,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,5,6,3,7,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,6,5,4,1,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,5,4,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,3,4,7,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,6,2,4,1,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,2,6,3,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,1,2,6,7,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,6,5,7,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,8,6,2,7,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,1,6,3,7,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,5,6,3,7,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,6,5,4,2,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,6,1,4,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,4,2,6,5,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,4,1,2,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,1,5,2,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,6,5,7,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,4,3,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,4,2,1,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,6,5,7,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,6,2,5,1,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,4,3,5,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,7,2,5,1,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,7,2,5,8,3,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,3,6,7,5,8,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,7,6,5,8,3,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,8,2,6,1,5,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,6,2,5,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,2,5,6,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,6,2,5,7,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,8,6,4,7,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,3,6,7,4,5,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,1,6,4,7,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,5,1,3,4,2,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,7,4,1,6,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,7,8,5,4,3,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,3,1,2,8,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,1,3,6,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,4,1,5,3,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,1,8,2,7,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,7,5,6,4,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,6,5,4,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,5,7,3,4,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,3,6,2,7,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,7,4,6,8,2,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,5,6,3,2,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,6,5,4,8,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,6,5,7,2,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,2,7,6,8,3,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,7,5,6,8,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,1,7,6,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,6,3,7,4,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,1,6,2,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,1,4,7,2,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,4,1,7,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,4,1,8,5,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,1,4,8,3,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,1,8,4,5,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,2,8,4,3,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,6,2,5,8,3,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,3,7,2,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,2,1,8,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,6,8,4,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,6,8,5,3,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,6,8,5,4,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,8,6,7,5,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,6,7,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,5,4,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,5,6,7,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,8,5,7,4,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,7,4,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,6,7,4,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,1,6,3,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,1,4,3,5,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,4,1,3,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,4,3,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,1,4,3,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,4,1,3,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,2,1,3,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,2,1,3,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,2,1,8,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,4,3,8,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,4,3,6,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,2,1,3,6,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,2,1,4,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,1,4,8,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,4,1,8,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,2,8,1,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,6,1,8,3,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,4,1,8,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,1,6,8,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,1,3,6,8,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,3,8,6,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,1,3,8,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,1,3,8,6,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,6,1,4,3,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,1,3,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,8,3,6,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,8,6,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,8,1,6,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,6,2,1,3,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,8,4,3,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,6,4,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,6,4,1,3,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,6,2,1,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,6,1,5,4,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,4,3,8,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,4,1,5,3,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,6,1,5,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,7,2,6,5,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,1,7,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,1,5,2,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,5,4,8,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,7,6,8,3,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,7,6,8,1,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,7,1,8,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,5,4,8,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,6,3,8,4,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,6,5,8,1,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,8,4,6,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,6,3,7,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,1,7,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,5,2,6,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,7,1,5,3,6,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,4,3,6,1,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,6,5,8,1,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,5,7,2,4,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,8,2,4,1,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,8,2,4,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,1,5,2,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,7,3,8,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,5,6,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,2,6,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,8,1,5,4,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,7,2,6,3,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,2,6,1,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,8,1,7,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,5,8,3,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,7,4,8,1,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,7,1,8,3,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,7,1,8,3,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,4,3,7,8,6,5,11,12,10,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,4,3,9,10,11,12,8,7,6,5] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,5,6,4,3,8,7,11,12,10,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,5,6,4,3,9,10,8,7,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,5,6,4,3,10,11,12,9,8,7] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,6,7,8,5,4,3,11,12,10,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,7,8,9,10,6,5,4,3,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,8,9,10,11,12,7,6,5,4,3] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,4,2,1,6,5,8,7,11,12,10,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,4,2,1,6,5,9,10,8,7,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,4,2,1,6,5,10,11,12,9,8,7] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,4,2,1,7,8,6,5,10,9,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,4,2,1,7,8,6,5,11,12,10,9] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[3,4,2,1,8,9,10,7,6,5,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,4,2,1,9,10,11,12,8,7,6,5] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[3,5,2,6,4,1,9,11,8,12,10,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[4,5,6,3,2,1,8,7,11,12,10,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[4,5,6,3,2,1,9,10,8,7,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[4,5,6,3,2,1,10,11,12,9,8,7] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[4,6,9,3,10,5,11,12,8,7,2,1] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,6,7,8,4,3,2,1,10,9,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[5,6,7,8,4,3,2,1,11,12,10,9] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[5,6,8,10,4,3,11,7,12,9,2,1] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[6,7,8,9,10,5,4,3,2,1,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[7,8,9,10,11,12,6,5,4,3,2,1] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[2,4,8,3,5,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,3,1,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,5,4,3,2,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,4,3,8,5,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,1,5,7,3,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,3,7,4,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,4,7,6,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,1,7,4,3,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,8,1,7,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,8,7,1,5,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,5,6,3,2,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,7,8,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,3,5,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,2,6,3,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,8,7,4,5,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,7,1,5,6,2,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,1,6,2,7,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,5,7,6,4,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,8,5,2,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,6,1,5,3,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,1,5,3,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,6,4,5,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,7,5,6,4,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,8,6,7,5,4,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,5,2,1,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,5,7,2,8,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,3,6,1,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,4,6,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,4,6,3,8,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,4,7,5,1,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,4,7,3,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,5,7,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,7,1,8,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,6,8,3,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,1,3,5,8,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,2,5,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,7,5,4,1,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,2,6,4,1,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,8,4,2,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,6,2,1,4,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,8,6,4,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,7,5,4,8,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,3,5,1,8,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,7,5,8,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,7,3,6,8,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,3,6,1,2,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,2,5,6,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,7,1,6,5,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,2,1,8,7,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,6,2,7,8,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,1,4,8,2,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,1,8,7,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,6,4,7,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,5,7,6,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,2,7,6,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,2,7,6,5,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,7,2,6,5,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,7,2,6,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,7,3,1,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,3,2,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,7,3,2,6,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,7,3,6,2,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,7,3,6,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,7,3,6,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,7,3,6,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,6,3,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,6,3,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,6,2,4,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,7,6,4,2,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,6,4,1,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,7,6,4,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,5,2,6,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,1,5,6,4,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,6,7,3,8,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,5,7,1,3,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,5,1,7,4,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,7,3,8,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,6,7,8,3,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,6,7,8,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,1,6,7,8,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,6,1,7,8,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,5,7,2,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,5,2,7,1,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,4,2,1,7,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,6,7,2,8,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,6,7,8,2,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,6,1,7,8,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,4,3,6,5,8,7,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[2,4,1,3,6,5,8,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,4,1,5,3,7,6,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,3,1,5,4,7,6,9,8] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[1,3,2,5,4,7,6,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[2,4,1,3,6,5,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,4,6,1,3,5,8,7,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[2,4,1,6,8,3,5,7,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[2,4,1,5,3,8,6,9,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,1,6,4,7,5,9,8] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[1,4,2,5,3,7,6,9,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,3,1,5,4,7,6,9,8,10] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,3,2,5,4,7,6,9,8,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[1,4,3,7,6,8,2,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,3,7,5,8,2,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,3,7,4,8,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,6,5,8,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,8,2,6,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,2,4,5,7,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,8,4,5,2,6,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,1,4,5,3,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,7,4,1,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,3,6,1,5,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,1,6,4,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,1,4,7,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,1,8,6,2,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,8,2,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,3,8,5,2,4,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,1,3,8,5,2,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,2,8,4,1,6,5,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,8,3,6,5,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,2,8,3,6,1,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,3,8,7,1,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,3,8,5,1,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,4,8,3,7,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,8,1,3,7,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,5,4,1,3,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,2,3,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,8,2,3,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,1,6,4,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,2,5,8,7,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,7,1,2,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,3,4,8,2,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,1,2,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,8,2,7,1,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,8,2,7,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,2,7,3,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,7,5,4,1,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,1,5,4,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,1,5,4,2,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,3,5,4,1,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,2,5,4,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,2,5,4,6,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,1,5,4,7,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,6,1,4,7,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,2,1,7,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,7,1,8,3,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,6,7,4,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,5,3,8,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,3,8,4,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,6,2,4,8,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,6,5,2,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,6,5,1,8,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,6,5,1,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,6,5,3,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,3,5,4,8,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,6,2,4,7,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,2,4,8,3,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,2,8,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,8,2,6,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,2,1,5,3,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,1,6,2,3,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,2,6,7,4,8,5,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,6,7,4,2,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,2,8,5,4,6,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,6,5,1,4,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,6,5,2,1,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,6,5,8,1,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,6,8,4,2,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,6,8,3,5,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,5,8,1,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,5,8,4,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,2,1,7,4,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,1,5,2,7,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,2,5,1,3,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,4,3,2,1,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,2,1,8,4,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,4,3,2,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,3,6,4,8,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,3,2,7,1,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,5,7,4,3,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,7,2,4,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,1,7,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,8,5,6,1,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,7,5,8,2,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,2,6,8,4,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,5,8,1,4,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,5,8,4,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,1,8,4,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,1,6,8,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,7,4,8,5,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,2,5,8,6,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,8,1,7,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,8,1,5,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,8,7,6,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,8,7,2,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,3,8,6,5,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,6,2,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,6,5,1,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,6,5,4,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,1,2,3,7,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[5,6,7,8,1,2,3,4,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[5,2,6,7,1,3,4,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[5,3,2,6,1,4,7,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[6,2,7,8,9,1,3,4,5] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[6,7,3,4,8,1,2,5,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[6,3,2,7,8,1,4,5,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[6,4,7,2,5,1,3,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[6,4,3,2,7,1,5,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[6,5,4,3,2,1,7,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[7,4,8,2,5,9,1,3,6] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[7,4,3,2,8,9,1,5,6] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[7,8,5,6,3,4,1,2,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[7,5,3,8,2,6,1,4,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[7,5,4,3,2,8,1,6,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[7,6,5,4,3,2,1,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[8,6,9,4,7,2,5,1,3] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[8,6,4,3,9,2,7,1,5] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[8,6,5,4,3,2,9,1,7] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[5,6,7,8,1,2,3,4,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[6,2,7,8,9,1,3,4,5,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[6,3,2,7,8,1,4,5,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[7,8,3,4,9,10,1,2,5,6] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[7,4,3,2,8,9,1,5,6,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[7,8,5,6,3,4,1,2,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[7,5,4,3,2,8,1,6,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[8,5,9,10,2,6,7,1,3,4] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[8,5,3,9,2,6,10,1,4,7] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[8,6,9,4,7,2,5,1,3,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[8,6,4,3,9,2,7,1,5,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[8,6,5,4,3,2,9,1,7,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[8,7,6,5,4,3,2,1,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[9,7,5,4,3,10,2,8,1,6] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[3,6,5,1,2,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,5,8,2,4,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,2,6,4,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,2,5,4,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,2,4,6,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,6,5,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,7,8,3,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,1,8,3,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,8,5,2,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,7,4,8,2,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,3,8,1,4,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,5,8,7,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,3,4,8,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,3,2,4,1,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,1,4,3,8,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,3,5,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,3,6,7,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,3,7,5,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,3,6,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,8,5,4,3,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,2,6,3,4,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,2,7,3,4,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,8,1,4,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,8,1,4,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,7,8,2,4,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,7,1,4,2,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,2,7,3,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,7,5,4,3,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,7,1,4,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,3,4,6,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,2,4,1,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,2,3,8,7,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,2,3,8,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,3,2,4,8,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,3,4,8,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,2,6,3,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,8,2,7,3,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,8,5,4,7,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,8,5,4,2,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,6,8,4,7,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,8,1,7,3,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,1,2,4,3,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,4,2,8,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,1,7,3,5,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,3,6,5,4,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,1,6,5,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,2,3,6,5,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,1,2,7,3,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,8,2,7,6,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,8,1,7,3,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,2,1,7,4,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,4,1,2,8,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,3,8,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,1,8,7,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,7,6,5,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,3,8,7,1,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,8,4,1,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,8,4,1,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,8,7,6,5,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,8,7,6,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,7,6,5,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,1,8,7,2,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,3,7,6,1,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,3,8,7,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,3,8,7,6,2,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,8,4,7,2,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,8,4,7,2,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,7,4,6,1,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,5,1,2,4,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,3,1,2,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,2,4,3,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,1,2,4,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,1,7,2,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,1,7,2,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,3,2,5,8,7,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,8,7,4,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,8,7,2,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,6,1,2,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,2,8,7,1,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,2,5,8,7,1,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,7,6,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,8,7,6,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,8,3,1,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,3,5,8,7,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,4,8,2,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,8,1,2,6,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,7,8,2,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,7,8,1,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,6,7,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,1,6,7,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,8,3,7,1,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,6,4,7,1,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,3,4,1,7,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,3,7,4,1,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,8,3,7,5,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,7,2,3,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,4,2,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,7,1,4,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,8,3,7,2,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,1,4,7,2,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,3,1,7,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,2,8,1,7,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,3,6,1,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,8,3,7,5,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,2,7,5,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,4,2,7,1,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,4,7,3,1,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,5,7,3,1,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,1,3,4,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,7,2,3,6,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,2,3,6,1,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,3,2,8,5,4,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,8,4,3,1,6,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,4,8,2,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,5,4,3,2,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,2,8,7,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,4,3,6,5,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,5,7,1,3,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,5,7,2,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,4,7,2,8,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,4,6,2,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,7,1,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,6,1,7,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,5,6,7,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,4,6,8,7,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,6,8,7,1,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,1,6,8,7,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,6,8,7,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,5,8,6,2,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,2,8,5,6,3,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,8,6,7,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,8,7,6,1,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,8,7,6,4,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,1,8,6,5,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,6,1,8,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,7,8,5,4,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,8,6,1,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,5,7,6,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,7,6,8,1,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,7,6,8,3,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,1,7,4,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,7,5,3,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,7,6,5,4,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,7,6,5,1,4,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,5,3,1,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,4,3,1,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,4,1,5,2,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,5,1,3,2,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,3,1,7,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,1,7,2,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,6,4,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,5,2,4,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,2,7,4,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,4,2,3,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,5,8,2,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,8,1,2,4,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,1,7,3,4,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,5,7,2,4,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,2,7,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,2,3,8,7,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,2,8,7,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,8,4,6,7,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,2,6,8,5,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,2,7,4,8,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,6,4,7,8,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,1,8,4,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,3,1,5,8,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,7,3,1,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,2,8,4,7,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,2,8,6,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,2,3,8,6,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,2,3,8,5,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,1,7,2,4,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,1,3,4,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,8,6,4,7,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,2,6,7,4,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,2,8,7,3,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,2,8,3,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,8,7,6,4,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,2,7,4,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,5,6,3,1,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,6,3,1,4,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,3,1,4,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,5,3,1,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,5,3,6,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,5,3,6,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,8,3,4,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,3,6,4,8,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,3,8,4,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,3,1,8,4,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,3,8,6,4,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,3,6,1,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,8,6,3,1,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,8,6,3,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,3,4,1,8,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,6,3,1,8,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,6,3,8,1,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,6,3,8,4,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,3,1,2,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,3,1,2,8,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,3,4,8,1,6,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,2,5,4,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,2,8,4,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,3,2,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,3,2,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,2,6,4,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,8,3,2,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,6,3,8,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,5,3,2,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,3,2,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,2,8,4,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,5,8,4,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,2,7,4,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,4,3,2,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,3,6,5,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,8,3,7,5,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,4,3,8,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,2,6,8,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,6,7,5,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,6,7,5,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,4,3,7,5,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,7,6,4,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,5,3,2,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,7,3,6,5,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,6,3,7,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,2,6,7,5,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,2,5,4,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,2,8,6,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,3,8,5,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,8,3,6,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,5,3,2,8,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,4,3,2,8,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,2,5,4,8,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,7,5,4,8,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,2,8,6,5,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,4,3,6,5,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,4,3,7,5,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,8,7,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,7,8,5,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,4,3,8,5,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,8,2,4,7,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,5,2,4,1,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,5,7,3,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,5,2,8,3,1,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,5,8,3,7,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,8,4,7,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,2,5,8,3,6,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,1,2,6,8,5,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,1,7,8,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,2,7,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,7,6,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,1,4,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,5,1,2,7,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,8,3,1,7,2,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,4,3,5,2,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,6,3,1,5,2,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,6,8,7,4,2,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,4,3,8,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,2,1,8,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,6,3,7,4,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,7,3,8,5,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,6,2,3,7,8,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,2,8,4,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,1,7,8,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,7,3,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,4,3,1,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,2,1,8,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,3,2,5,6,1,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,1,8,2,4,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,1,2,4,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,8,7,5,1,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,3,5,2,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,6,2,5,3,1,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,2,4,1,6,5,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,8,1,7,5,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,5,6,2,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,3,7,5,4,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,6,7,5,2,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,5,4,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,6,5,4,3,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,7,5,4,3,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,2,8,3,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,8,6,5,2,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,8,6,5,4,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,4,3,2,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,3,2,1,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,5,4,1,7,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,5,1,7,3,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,5,8,3,2,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,4,1,8,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,4,3,1,8,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,6,3,5,2,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,5,6,8,4,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,4,8,7,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,4,6,8,7,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,3,8,7,2,5,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,1,6,4,8,5,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,6,8,5,1,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,7,2,6,8,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,6,3,8,1,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,6,7,3,5,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,6,4,1,5,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,2,7,1,5,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,8,1,6,5,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,2,8,1,5,7,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,7,6,1,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,1,7,3,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,1,7,5,4,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,2,8,7,3,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,5,4,7,1,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,5,8,6,4,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,5,6,4,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,7,4,8,6,3,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,7,8,3,6,5,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,1,6,4,2,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,2,4,7,3,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,2,4,5,7,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,2,3,8,5,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,5,4,3,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,8,7,2,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,8,2,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,7,2,5,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,8,1,2,7,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,1,5,7,6,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,6,1,5,3,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,5,1,3,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,5,2,1,3,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,5,3,7,2,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,2,8,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,5,7,2,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,5,2,7,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,5,3,1,4,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,4,7,2,5,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,4,8,2,5,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,2,4,7,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,6,2,4,7,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,8,2,4,7,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,7,2,4,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,6,7,2,4,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,2,4,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,7,2,4,6,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,8,3,2,4,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,6,2,4,8,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,6,2,8,3,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,6,2,4,8,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,8,7,3,2,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,2,3,5,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,2,3,4,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,5,2,3,8,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,6,5,2,8,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,6,2,8,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,7,6,2,4,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,8,3,2,4,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,5,2,3,7,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,5,2,3,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,3,5,2,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,8,6,2,4,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,7,3,2,4,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,3,4,2,8,5,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,4,2,8,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,6,4,2,8,5,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,5,2,8,6,4,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,5,6,1,4,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,5,6,1,4,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,2,4,1,6,7,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,4,2,7,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,1,4,2,8,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,1,4,3,5,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,4,1,6,7,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,1,6,3,5,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,4,7,6,5,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,6,4,3,5,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,6,4,3,5,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,4,1,3,7,2,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,3,8,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,3,1,2,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,8,1,2,6,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,1,3,7,2,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,1,3,6,2,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,5,7,3,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,4,3,7,2,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,7,4,6,8,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,3,7,8,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,6,8,3,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,3,4,2,8,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,3,8,2,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,4,3,7,2,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,2,3,7,8,6,1,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,7,5,6,3,8,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,2,6,3,8,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,2,6,8,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,5,6,8,4,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,3,8,7,6,1,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,1,8,3,7,2,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,8,4,2,6,5,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,7,1,8,2,5,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,8,6,3,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,3,8,7,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,5,8,6,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,4,6,5,8,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,4,7,5,8,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,1,5,2,4,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,2,8,5,6,3,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,6,8,1,4,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,6,7,1,3,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,3,2,7,6,8,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,1,6,2,4,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,1,4,2,6,3,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,1,4,2,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,5,6,7,8,1,9,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[3,1,2,5,6,7,8,9,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,4,5,6,7,8,1,2,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[1,6,2,3,8,7,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,4,3,2,8,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,6,2,5,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,3,2,5,8,6,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,3,2,4,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,3,2,4,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,6,5,4,3,1,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,5,4,3,2,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,5,4,3,1,9,2] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[7,9,6,5,4,3,2,1,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[7,1,5,4,3,8,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,5,4,3,7,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,1,4,3,8,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,5,4,7,2,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,5,1,3,8,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,2,4,3,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,4,3,2,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,5,7,3,2,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,7,6,8,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,7,5,2,6,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,6,5,2,1,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,7,5,6,1,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,8,6,7,4,3,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,5,2,4,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,3,6,4,1,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,5,3,2,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,7,1,4,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,6,8,1,7,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,6,8,5,7,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,7,2,4,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,6,5,2,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,5,8,7,4,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,6,7,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,3,2,8,5,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,7,1,8,5,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,2,8,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,7,2,8,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,4,8,5,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,5,2,7,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,4,5,8,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,3,6,7,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,2,1,6,4,7,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,2,6,4,1,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,3,5,8,7,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,2,1,5,8,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,8,7,5,2,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,6,5,2,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,4,7,3,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,5,8,4,2,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,7,1,5,2,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,5,6,1,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,4,8,7,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,1,3,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,7,2,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,8,7,1,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,4,6,7,3,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,7,5,1,8,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,5,2,7,4,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,5,4,3,8,1,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,7,5,4,3,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,8,7,4,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,3,7,6,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,4,3,1,6,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,4,3,8,6,2,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,1,5,3,4,8,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,6,1,7,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,6,5,7,2,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,6,8,2,1,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,8,7,4,3,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,4,3,1,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,8,6,3,4,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,8,6,3,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,8,4,3,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,5,2,8,1,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,1,3,6,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,5,2,3,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,8,3,5,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,8,2,3,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,2,7,8,6,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,1,8,2,4,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,8,1,2,4,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,1,2,3,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,7,1,8,6,3,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,8,4,1,2,6,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,8,2,3,6,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,6,7,4,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,1,6,8,4,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,3,7,1,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,3,2,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,1,4,3,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,5,1,7,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,6,5,8,2,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,3,5,8,2,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,8,7,3,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,2,8,6,1,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,5,6,1,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,5,4,1,2,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,1,8,3,7,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,6,2,8,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,5,3,8,7,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,6,3,7,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,1,5,8,2,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,8,5,1,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,2,4,8,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,4,8,2,6,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,2,5,1,6,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,8,5,2,6,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,4,8,2,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,1,5,8,6,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,8,3,7,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,5,8,6,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,4,8,5,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,4,8,1,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,8,4,1,2,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,8,7,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,8,1,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,1,6,2,3,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,7,1,2,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,4,7,8,1,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,3,1,8,4,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,4,7,3,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,1,4,8,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,5,4,3,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,5,4,3,7,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,1,5,3,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,4,3,2,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,1,2,7,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,7,2,5,4,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,1,2,5,4,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,3,1,2,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,4,2,6,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,1,5,2,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,5,4,3,6,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,5,4,3,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,7,4,5,1,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,6,1,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,6,3,8,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,4,7,1,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,8,4,7,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,8,6,7,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,4,5,1,8,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,6,4,8,1,5,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,3,6,2,7,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,3,6,4,8,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,5,8,4,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,1,5,3,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,5,8,1,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,6,7,2,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,2,3,1,8,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,2,8,1,4,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,1,8,4,7,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,6,7,1,4,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,2,5,4,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,2,7,3,6,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,1,8,2,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,1,8,6,7,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,2,5,1,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,5,8,4,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,7,1,4,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,1,7,3,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,1,8,3,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,2,4,5,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,2,8,3,5,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,2,3,8,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,2,3,1,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,2,3,7,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,7,3,4,1,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,2,5,1,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,2,1,4,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,2,1,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,3,1,4,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,3,1,4,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,2,1,3,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,3,1,2,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,1,3,7,2,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,1,3,2,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,5,4,2,7,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,6,4,7,2,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,8,4,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,3,6,4,1,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,8,6,4,1,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,5,1,2,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,5,1,2,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,6,5,1,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,6,3,5,1,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,2,1,5,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,7,1,5,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,1,7,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,3,1,4,2,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,1,4,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,1,7,4,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,7,1,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,7,2,1,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,4,1,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,5,4,1,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,5,6,7,4,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,5,7,6,3,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,3,2,1,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,1,5,3,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,1,3,7,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,8,5,7,3,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,2,7,3,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,7,5,3,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,5,8,7,6,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,4,7,6,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,3,2,7,8,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,1,6,7,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,4,6,8,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,2,5,6,1,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,3,8,7,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,7,3,5,1,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,8,4,2,5,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,1,6,3,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,7,2,8,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,8,6,5,2,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,7,1,5,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,5,8,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,8,5,4,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,8,5,6,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,4,8,7,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,2,6,7,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,3,2,7,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,8,6,3,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,7,2,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,8,4,3,7,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,8,2,6,3,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,8,2,3,6,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,7,8,2,3,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,8,4,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,6,1,5,2,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,6,4,1,7,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,6,4,1,8,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,7,5,1,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,8,4,1,7,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,8,5,7,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,6,1,7,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,7,6,1,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,7,8,1,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,4,6,1,8,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,4,6,1,7,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,3,1,6,8,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,8,1,6,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,6,8,1,7,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,7,1,6,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,8,7,5,1,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,6,5,1,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,7,3,6,5,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,3,1,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,3,1,6,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,5,3,6,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,2,3,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,3,7,5,4,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,1,8,6,5,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,2,6,4,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,8,2,1,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,2,8,3,4,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,6,3,8,7,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,7,6,3,4,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,8,7,5,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,3,8,5,4,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,1,8,4,2,3,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,4,3,5,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,8,2,4,1,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,2,8,6,3,7,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,7,3,8,6,4,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,3,8,4,7,6,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,6,3,8,4,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,3,2,1,7,4,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,4,2,7,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,6,3,4,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,7,3,8,4,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,3,8,1,6,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,4,7,1,5,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,5,7,1,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,5,7,2,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,6,2,5,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,8,6,1,2,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,7,1,4,8,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,8,1,5,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,1,7,5,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,8,1,6,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,1,3,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,7,6,2,4,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,6,7,2,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,6,7,1,3,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,5,7,1,6,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,7,6,2,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,6,7,2,1,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,6,7,3,5,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,6,7,2,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,8,5,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,8,5,1,6,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,6,7,1,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,6,7,1,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,6,7,2,3,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,6,7,2,4,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,6,7,1,2,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,2,8,5,1,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,5,7,6,1,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,6,7,1,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,6,7,1,2,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,8,5,1,2,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,5,7,1,4,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,1,7,4,6,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,4,7,2,5,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,6,7,5,3,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,5,7,6,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,7,5,6,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,7,5,2,8,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,6,7,2,3,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,8,6,7,3,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,6,7,4,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,6,7,3,1,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,6,7,3,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,6,7,5,3,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,6,7,3,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,6,7,4,2,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,6,7,4,3,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,7,6,1,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,8,3,6,7,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,1,4,7,8,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,8,4,7,5,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,6,5,4,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,7,3,8,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,1,6,8,2,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,6,2,5,3,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,2,6,8,1,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,3,6,4,5,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,8,6,2,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,4,1,6,8,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,4,3,6,8,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,7,4,5,2,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,2,6,3,4,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,7,8,4,3,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,3,5,7,8,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,8,7,1,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,5,6,4,3,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,6,5,4,3,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,5,2,8,4,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,1,8,5,7,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,7,2,8,5,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,3,5,8,6,2,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,5,8,6,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,8,1,5,7,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,5,8,1,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,2,5,8,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,2,5,8,6,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,6,8,2,3,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,1,5,8,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,7,1,8,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,5,8,3,1,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,1,8,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,2,1,3,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,6,8,2,1,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,4,3,1,8,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,2,6,8,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,2,5,8,6,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,7,6,8,1,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,1,2,6,8,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,2,5,4,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,8,4,6,1,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,1,6,4,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,6,8,5,4,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,6,8,3,2,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,8,3,1,2,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,5,8,6,3,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,2,5,8,6,3,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,7,1,8,5,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,2,6,8,5,4,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,6,8,3,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,3,2,1,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,8,5,6,1,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,5,8,7,1,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,4,8,1,2,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,5,1,8,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,6,7,1,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,6,7,1,4,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,4,6,7,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,3,6,7,4,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,2,1,6,8,4,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,7,1,4,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,1,5,4,8,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,4,5,3,7,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,1,5,4,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,4,2,1,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,3,8,1,4,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,1,2,4,5,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,8,2,3,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,8,1,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,2,1,3,7,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,1,3,2,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,3,1,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,4,3,5,6,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,4,2,1,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,4,2,1,5,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,2,3,4,8,7,1,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,8,3,4,6,2,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,3,6,4,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,3,5,6,2,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,3,8,7,5,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,5,8,7,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,2,8,4,7,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,3,8,7,5,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,4,1,7,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,7,4,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,5,7,8,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,2,3,6,1,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,2,3,6,1,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,5,8,3,2,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,8,3,2,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,8,5,3,2,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,4,2,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,5,8,3,2,1,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,5,6,3,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,3,6,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,4,3,7,2,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,4,3,8,2,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,2,4,1,7,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,2,4,1,8,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,2,4,1,8,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,4,2,7,8,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,2,4,1,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,7,4,1,6,8,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,4,3,6,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,6,4,3,7,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,5,6,3,2,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,8,3,2,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,8,7,3,2,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,7,8,3,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,1,3,4,2,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,8,4,2,3,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,7,4,2,3,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,1,3,4,2,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,7,5,3,2,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,8,6,3,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,8,1,6,2,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,7,2,5,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,3,7,1,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,1,2,4,3,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,8,2,7,5,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,2,8,1,6,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,8,3,7,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,8,1,5,4,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,8,1,5,4,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,2,1,8,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,7,8,4,1,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,6,8,4,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,6,8,4,2,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,2,8,3,5,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,3,2,4,8,6,5,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,2,4,8,6,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,4,8,5,1,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,3,4,8,6,5,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,8,3,6,2,1,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,8,7,2,4,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,4,5,7,3,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,5,7,3,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,1,6,3,8,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,5,1,8,4,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,1,5,8,4,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,4,8,1,3,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,8,2,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,3,7,2,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,4,3,7,2,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,8,3,7,2,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,6,3,2,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,4,3,7,2,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,8,5,3,1,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,3,4,1,2,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,4,7,6,2,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,8,1,6,7,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,8,6,7,4,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,3,8,6,4,7,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,7,4,1,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,2,1,4,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,3,4,2,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,7,3,2,6,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,7,3,2,5,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,7,5,2,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,7,4,1,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,6,1,7,8,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,7,2,3,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,2,6,8,7,4,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,1,7,8,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,8,4,2,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,1,3,7,5,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,2,8,7,1,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,2,8,1,6,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,7,2,6,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,2,4,7,1,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,1,8,7,3,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,1,5,7,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,8,2,6,1,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,2,5,6,4,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,7,5,2,4,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,8,1,6,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,8,2,6,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,7,3,8,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,1,7,6,5,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,4,7,6,5,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,7,5,1,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,5,4,1,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,4,3,2,1,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,3,2,1,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,7,2,1,4,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,3,7,8,2,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,6,2,1,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,2,6,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,7,2,5,1,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,3,2,6,1,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,2,7,5,1,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,7,5,1,4,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,2,6,7,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,8,5,1,3,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,7,6,8,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,7,6,5,1,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,8,7,6,5,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,3,1,7,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,3,1,5,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,7,3,1,8,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,3,7,1,5,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,3,6,1,8,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,7,6,1,4,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,7,6,1,5,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,7,6,1,4,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,7,2,1,5,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,7,2,1,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,2,1,4,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,7,2,1,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,2,1,4,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,2,6,1,4,3,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,2,7,1,5,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,2,6,1,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,6,1,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,7,8,1,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,7,6,1,5,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,7,6,1,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,4,1,8,7,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,1,6,7,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,1,5,8,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,7,1,6,8,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,7,1,5,6,3,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,8,3,1,5,6,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,8,7,1,5,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,1,6,4,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,2,1,5,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,1,6,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,7,1,5,4,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,7,1,6,4,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,7,1,5,6,3,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,8,7,1,5,4,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,1,7,8,4,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,1,6,7,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,1,6,7,8,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,1,6,5,7,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,1,6,7,4,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,6,5,4,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,1,6,7,4,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,1,6,5,4,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,7,8,5,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,6,5,8,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,7,6,5,4,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,1,2,6,3,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,3,5,7,2,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,8,1,7,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,2,6,7,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,8,1,3,5,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,8,3,5,6,1,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,5,7,8,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,8,1,7,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,7,2,1,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,4,3,1,8,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,3,6,7,8,1,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,8,1,2,5,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,6,7,2,5,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,1,8,5,2,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,4,2,8,3,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,7,5,4,2,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,2,6,5,4,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,6,3,1,2,5,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,5,7,6,3,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,8,1,6,5,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,1,8,6,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,2,1,6,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,3,2,1,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,8,6,3,7,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,1,5,2,7,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,1,7,4,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,7,5,4,3,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,7,8,3,6,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,1,5,2,3,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,8,2,1,7,6,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,4,1,7,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,3,1,5,4,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,1,4,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,1,4,3,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,1,8,3,6,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,1,4,5,3,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,6,1,4,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,6,1,7,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,4,3,6,1,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,4,7,1,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,4,6,1,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,8,1,4,2,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,7,8,6,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,6,8,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,4,8,2,1,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,3,8,4,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,1,8,6,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,7,5,2,8,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,7,5,2,8,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,7,5,1,8,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,2,8,6,1,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,7,8,6,2,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,3,7,8,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,7,5,1,8,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,5,4,1,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,5,2,4,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,5,2,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,7,8,6,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,7,8,6,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,7,8,6,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,7,5,1,8,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,7,5,4,2,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,8,6,4,1,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,7,2,6,5,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,7,1,5,6,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,7,4,5,2,8,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,7,5,4,2,1,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,7,5,8,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,2,5,1,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,4,5,1,8,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,5,1,8,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,5,1,8,6,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,7,4,1,8,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,6,2,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,4,7,8,1,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,4,3,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,9,6,5,4,3,2,8,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,9,6,5,4,3,2,1,7] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[6,8,5,4,3,7,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,4,3,2,1,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,3,1,8,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,5,4,3,9,1,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[8,7,5,4,3,1,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[9,7,6,5,4,3,1,8,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,5,2,6,8,4,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,2,8,4,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,5,7,3,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,8,1,5,6,3,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,6,8,1,4,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,8,1,3,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,3,7,2,8,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,3,2,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,4,7,3,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,8,4,5,3,2,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,5,7,4,1,8,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,1,4,8,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,3,1,7,8,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,3,7,8,4,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,1,3,7,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,1,7,8,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,3,7,4,8,5,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,3,2,1,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,6,3,1,7,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,4,7,3,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,7,2,8,4,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,7,1,8,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,3,2,1,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,2,1,3,8,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,7,8,6,4,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,8,4,6,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,3,8,2,1,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,7,8,5,2,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,2,1,7,8,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,1,7,3,8,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,2,1,3,8,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,6,7,8,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,7,1,8,5,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,1,7,8,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,3,6,8,2,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,3,6,8,1,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,2,1,8,4,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,5,8,2,1,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,2,1,3,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,1,6,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,4,5,8,1,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,8,5,2,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,1,7,5,3,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,7,4,1,2,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,6,7,1,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,6,2,8,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,5,8,6,7,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,5,6,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,6,4,8,1,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,7,8,5,4,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,5,3,8,4,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,5,3,1,2,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,2,4,8,5,3,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,3,1,2,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,2,3,7,1,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,2,7,6,1,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,3,2,1,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,2,7,4,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,4,2,8,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,6,8,7,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,1,8,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,6,8,7,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,4,1,5,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,8,5,6,7,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,4,7,1,8,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,4,7,1,8,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,4,1,3,2,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,3,6,5,2,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,5,2,1,8,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,4,6,5,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,2,1,6,5,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,2,6,5,3,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,2,6,3,4,5,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,4,7,6,2,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,4,7,5,8,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,5,2,4,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,5,1,3,8,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,5,1,4,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,8,4,7,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,4,3,2,7,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,7,8,2,1,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,2,1,8,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,7,3,8,1,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,7,8,4,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,4,5,8,3,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,4,3,7,2,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,7,4,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,7,2,4,8,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,7,2,3,1,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,7,1,3,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,7,2,1,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,4,2,1,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,4,1,3,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,8,5,7,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,2,6,7,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,1,5,4,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,5,8,7,4,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,7,6,4,5,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,2,4,6,5,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,7,6,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,2,6,1,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,5,8,7,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,8,1,5,6,7,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,1,5,2,6,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,5,1,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,8,5,2,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,6,2,1,3,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,1,4,5,6,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,4,5,7,8,2,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,6,8,1,5,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,7,2,1,8,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,8,2,1,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,8,4,1,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,7,2,4,8,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,7,8,4,1,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,8,2,4,5,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,1,5,6,7,8,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,2,6,8,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,7,3,8,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,8,3,2,1,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,8,3,5,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,8,3,2,5,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,2,6,8,4,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,7,4,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,3,8,4,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,8,3,4,2,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,3,4,2,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,2,3,7,8,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,2,7,8,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,7,3,8,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,7,8,4,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,2,3,8,5,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,2,8,4,5,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,1,8,2,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,5,7,2,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,6,2,8,1,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,1,3,8,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,5,2,3,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,5,1,3,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,2,5,1,3,7,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,6,5,4,7,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,5,2,4,8,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,2,5,3,1,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,6,3,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,7,5,3,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,1,2,4,8,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,1,6,4,2,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,2,5,6,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,3,7,2,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,2,6,5,1,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,4,2,5,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,9,8,7,6,5,4,2,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,9,8,7,6,5,4,3,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[4,8,6,5,7,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,5,4,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,6,4,3,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,9,8,7,6,4,5,2,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,8,7,6,3,4,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,9,8,7,6,5,3,4,1] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[1,8,7,6,5,2,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,9,8,7,6,5,4,2,3] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,10,9,8,7,6,5,4,3,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[7,2,8,6,5,4,1,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,8,5,4,6,1,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,3,2,8,5,1,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,4,7,2,5,6,3,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,8,5,4,3,1,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,8,6,4,1,3,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,8,6,1,5,3,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,6,1,8,5,2,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,4,1,2,8,6,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,8,3,5,4,1,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,5,8,3,6,1,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,5,6,3,4,2,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,6,8,5,3,1,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,6,3,8,5,2,1,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,6,4,8,3,1,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,7,4,2,6,3,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,2,3,1,7,8,5,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,8,4,1,7,6,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,6,3,4,7,2,5,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,8,3,4,5,1,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,3,2,1,5,4,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,5,4,8,1,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,6,4,1,7,3,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,8,4,5,2,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,1,5,8,7,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,8,1,2,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,2,3,5,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,1,3,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,1,8,4,7,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,1,8,4,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,4,6,1,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,3,2,8,1,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,1,4,7,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,3,6,1,5,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,3,6,8,2,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,6,1,5,7,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,2,5,4,3,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,3,4,2,7,6,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,5,3,7,4,2,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,3,4,7,1,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,5,6,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,5,6,1,7,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,5,2,8,6,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,4,8,7,2,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,4,1,8,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,1,4,2,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,4,7,1,8,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,2,5,7,6,1,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,7,5,8,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,2,4,8,7,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,7,5,8,4,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,8,5,7,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,6,4,8,7,3,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,7,8,5,6,3,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,7,8,2,5,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,7,8,2,3,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,2,7,8,4,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,7,3,4,8,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,8,4,2,7,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,7,4,8,3,6,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,6,4,8,3,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,3,8,6,2,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,6,8,5,3,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,7,8,6,3,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,7,8,5,2,3,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,7,8,6,2,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,7,8,6,5,3,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,6,2,1,4,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,7,6,4,5,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,1,7,4,8,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,4,1,7,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,4,1,5,8,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,1,5,4,8,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,1,4,7,8,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,2,4,8,7,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,1,2,8,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,5,3,8,6,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,3,8,6,5,4,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,1,5,4,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,3,1,4,8,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,4,3,1,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,6,3,1,8,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,4,5,1,8,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,5,4,1,8,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,6,1,7,8,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,2,8,7,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,3,7,8,6,4,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,3,7,8,5,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,1,2,8,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,6,8,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,3,8,7,4,5,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,3,6,8,7,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,1,2,8,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,4,3,2,5,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,6,5,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,4,6,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,3,6,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,7,4,6,5,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,7,3,6,5,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,7,2,6,5,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,7,2,6,4,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,2,5,4,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,1,6,5,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,7,1,6,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,1,6,5,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,6,5,3,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,7,6,5,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,6,5,2,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,7,6,4,2,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,7,5,4,1,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,3,6,1,4,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,2,5,3,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,1,4,3,7,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,5,1,4,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,2,5,3,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,5,4,7,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,5,1,4,3,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,6,4,7,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,6,4,7,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,2,6,3,7,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,1,5,3,7,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,4,7,1,3,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,7,1,3,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,6,8,2,4,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,6,8,1,3,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,5,8,1,3,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,3,2,6,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,1,4,2,6,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,7,5,8,1,4,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,7,6,8,1,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,6,8,2,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,8,3,6,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,5,8,2,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,4,8,1,5,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,5,2,6,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,2,6,5,8,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,5,8,4,7,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,6,5,8,3,7,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,3,7,1,5,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,4,3,8,2,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,4,8,5,2,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,3,7,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,3,5,1,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,3,5,4,8,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,3,7,5,2,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,8,3,5,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,5,8,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,5,2,4,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,3,8,2,4,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,4,8,2,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,3,5,8,4,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,8,3,6,2,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,3,6,7,2,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,4,8,7,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,8,4,1,7,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,7,4,1,5,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,3,4,7,5,8,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,8,3,7,2,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,7,8,3,5,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,8,3,5,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,3,5,6,8,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,3,5,8,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,8,3,5,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,8,3,6,2,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,3,6,7,2,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,4,8,2,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,8,4,1,7,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,7,2,6,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,2,7,3,1,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,3,7,8,5,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,5,3,7,1,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,3,7,1,8,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,3,4,8,2,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,5,7,4,8,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,4,7,8,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,3,5,7,1,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,7,8,3,6,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,8,3,6,7,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,8,3,7,2,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,4,6,8,2,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,6,8,2,1,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,6,7,1,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,8,3,7,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,4,8,6,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,7,8,9,3,2,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,2,1,6,5,4,9,8,7] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[3,4,5,6,7,8,9,2,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,4,3,2,1,10,9,8,7,6] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[4,5,6,7,8,9,10,3,2,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[1,6,2,5,3,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,2,7,3,4,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,6,1,2,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,7,4,2,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,1,6,2,8,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,7,5,2,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,5,4,7,2,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,5,8,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,1,7,2,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,3,1,2,4,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,7,4,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,1,8,4,2,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,8,1,2,4,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,1,8,4,2,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,5,4,2,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,8,5,3,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,1,4,2,3,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,8,3,1,2,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,1,4,2,3,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,8,5,7,3,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,1,5,8,3,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,1,6,8,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,6,2,5,7,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,6,4,7,2,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,1,4,7,2,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,8,4,6,2,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,1,6,5,4,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,3,1,5,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,4,6,8,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,5,8,6,4,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,6,7,5,4,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,7,1,6,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,8,2,7,4,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,2,7,8,1,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,8,1,7,4,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,8,7,1,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,7,3,8,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,1,4,5,8,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,7,2,8,5,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,6,8,7,2,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,7,1,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,4,1,7,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,4,3,7,5,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,4,8,6,5,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,5,6,8,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,2,5,7,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,6,8,5,3,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,6,4,8,3,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,1,3,4,5,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,3,2,4,8,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,6,5,3,4,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,4,2,8,7,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,6,1,2,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,3,6,8,7,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,8,6,1,5,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,6,2,5,3,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,6,8,1,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,7,2,4,3,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,8,6,3,4,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,2,8,3,7,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,2,3,7,6,4,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,5,6,4,8,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,4,8,2,3,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,1,3,5,8,2,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,3,6,7,5,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,7,2,8,5,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,1,4,7,2,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,4,5,7,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,5,7,3,2,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,5,4,3,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,8,6,2,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,6,8,1,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,3,2,8,5,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,7,4,2,3,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,5,1,4,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,4,8,6,5,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,5,2,7,3,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,2,8,4,3,7,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,7,5,2,3,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,2,8,4,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,3,6,2,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,5,1,2,8,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,8,4,7,2,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,3,8,4,2,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,5,8,3,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,3,6,4,5,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,5,6,8,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,3,6,4,8,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,6,4,7,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,4,2,7,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,7,5,4,8,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,5,8,2,4,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,7,5,6,8,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,5,7,6,8,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,6,5,8,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,6,7,5,8,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,5,8,2,7,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,5,8,4,7,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,8,7,4,3,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,1,2,8,6,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,6,2,3,8,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,5,2,4,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,1,8,3,4,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,2,8,4,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,1,2,8,4,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,3,1,8,4,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,1,7,3,4,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,7,2,4,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,5,8,3,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,7,1,8,4,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,1,3,8,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,8,7,1,4,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,8,7,2,4,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,7,6,1,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,7,2,4,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,2,3,5,1,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,3,4,5,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,3,6,2,4,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,7,2,5,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,8,1,2,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,7,10,9,8,3,4,1,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[7,8,10,9,3,4,6,5,1,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[9,10,3,6,8,4,7,5,1,2] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[3,6,7,10,9,4,8,5,1,2] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,8,10,9,5,6,1,2,4,3] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[9,10,5,6,8,7,1,2,4,3] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[1,8,10,6,9,4,7,2,5,3] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[9,10,7,8,1,2,3,6,5,4] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,10,1,6,8,2,3,7,5,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[1,6,7,10,9,2,3,8,5,4] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[11,12,9,10,7,8,5,6,3,4,1,2] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[11,12,5,6,7,10,9,8,3,4,1,2] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[5,6,7,8,12,11,10,9,3,4,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,10,12,11,7,8,3,4,6,5,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,7,8,10,9,3,4,6,5,1,2] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[11,12,9,10,3,4,5,8,7,6,1,2] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[3,8,9,12,11,4,5,10,7,6,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,10,12,11,7,8,5,6,1,2,4,3] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[11,12,7,8,10,9,5,6,1,2,4,3] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,10,12,6,7,11,9,8,1,2,4,3] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[7,10,12,8,11,9,1,4,6,2,5,3] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[9,10,12,11,1,4,5,8,7,2,6,3] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[7,8,9,12,11,10,1,2,3,6,5,4] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[11,12,1,6,7,10,9,2,3,8,5,4] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,9,10,1,2,3,4,8,7,6,5] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,6,8,7,1,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,2,4,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,5,2,1,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,8,4,7,3,1,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,7,4,1,3,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,6,5,2,8,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,5,6,1,8,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,7,2,6,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,7,2,3,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,5,1,7,4,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,7,6,3,8,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,3,7,5,8,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,4,3,8,1,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,2,7,6,5,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,1,6,7,5,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,2,6,8,5,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,2,3,8,5,6,1,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,2,4,3,6,1,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,8,5,4,3,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,4,5,3,2,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,7,6,2,4,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,4,5,7,2,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,6,1,7,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,6,5,8,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,3,6,8,7,4,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,6,3,7,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,5,4,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,2,6,5,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,2,5,4,3,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,2,5,4,1,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,2,8,1,6,5,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,7,1,6,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,1,6,5,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,7,5,1,6,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,8,5,1,4,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,8,5,4,1,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,4,6,2,3,8,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,5,1,2,8,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,1,2,7,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,3,7,4,8,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,4,7,3,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,3,5,4,8,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,5,2,8,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,1,8,3,2,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,5,3,8,2,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,4,2,7,3,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,6,4,7,3,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,1,7,4,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,8,4,3,2,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,1,6,8,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,8,2,6,4,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,4,5,6,1,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,7,6,3,5,4,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,3,7,6,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,2,5,4,3,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,7,8,4,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,1,5,4,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,5,6,8,4,3,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,4,7,1,8,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,6,7,5,3,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,4,8,2,1,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,4,7,2,6,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,7,4,2,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,5,1,6,8,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,1,7,6,5,9,8,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[7,3,2,1,6,5,4,9,8,10] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[9,5,2,1,8,4,3,7,6,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,3,2,1,7,6,5,10,8,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[7,3,2,1,6,5,4,10,8,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[8,5,2,1,7,4,3,10,6,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,3,2,1,10,5,4,9,6,8] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,3,2,1,9,5,4,8,6,7] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[7,3,2,1,10,6,4,9,5,8] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[7,4,2,1,10,6,3,9,5,8] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[7,4,3,1,10,6,2,9,5,8] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[4,3,1,2,6,5,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[10,9,4,1,6,2,8,3,5,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,6,5,4,3,2,9,1,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[6,5,4,3,2,8,1,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[5,4,9,3,8,2,7,1,6] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[5,4,3,2,7,9,1,6,8] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[4,8,3,7,2,6,1,5,9] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[4,3,7,2,6,9,1,5,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,3,2,6,8,1,5,7,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[3,6,9,2,5,8,1,4,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[3,6,2,5,8,1,4,7,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[3,2,5,7,1,4,6,8,9] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[2,4,6,1,3,5,7,8,9] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[8,7,6,5,4,3,2,10,1,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[6,5,4,3,2,8,10,1,7,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[5,10,4,9,3,8,2,7,1,6] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[5,4,3,8,2,7,10,1,6,9] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,4,3,2,7,9,1,6,8,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,3,7,10,2,6,9,1,5,8] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,3,7,2,6,9,1,5,8,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,3,2,6,8,1,5,7,9,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[3,6,9,2,5,8,1,4,7,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[3,6,2,5,8,1,4,7,9,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[2,1,7,3,8,4,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,8,2,7,3,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,7,2,8,3,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,3,2,8,4,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,2,5,3,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,7,2,8,3,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,8,2,4,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,2,4,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,6,2,5,3,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,6,2,7,3,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,8,2,7,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,2,4,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,6,2,4,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,6,2,5,3,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,6,2,8,3,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,2,7,5,4,6,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,2,7,4,3,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,7,2,6,3,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,3,2,4,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,5,4,3,6,2,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,5,4,3,7,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,2,1,3,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,4,8,2,3,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,7,2,6,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,4,2,6,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,6,3,2,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,7,1,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,2,8,5,7,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,4,3,8,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,4,3,8,7,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,3,8,5,4,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,8,2,1,7,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,2,8,5,1,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,8,5,1,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,6,3,1,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,8,3,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,7,8,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,1,6,7,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,1,5,2,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,7,3,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,3,2,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,6,2,8,7,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,2,7,8,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,1,5,2,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,7,1,2,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,1,3,2,4,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,2,1,3,5,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,3,7,1,8,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,3,6,1,8,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,7,3,1,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,5,7,1,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,1,2,7,8,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,2,7,3,6,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,4,7,8,2,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,4,6,8,7,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,3,6,2,7,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,3,7,2,6,8,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,1,8,2,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,5,7,6,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,8,6,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,1,8,3,6,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,2,1,8,7,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,4,3,2,1,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,5,4,3,2,1,9,7] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[7,6,5,4,3,2,1,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[7,6,5,4,1,8,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,8,5,2,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[9,6,5,4,3,2,1,8,7] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[9,7,6,5,4,3,2,1,10,8] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[4,6,7,2,5,1,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,4,1,5,2,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,7,2,1,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,3,6,1,4,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[2,5,3,6,1,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,6,7,1,5,2,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,6,7,3,5,8,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,7,1,5,2,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,5,6,1,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,2,6,1,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,3,6,2,4,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,1,3,6,2,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,7,4,5,1,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,7,4,5,1,3,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,2,5,6,7,1,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,2,6,7,1,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,1,6,2,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,7,4,5,2,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,4,1,6,7,2,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,1,6,3,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,2,5,4,1,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,5,4,2,1,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,5,2,4,1,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,5,2,1,4,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,6,7,5,2,8,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,4,1,6,5,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,5,1,6,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,7,2,5,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,4,6,2,8,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,2,1,7,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,4,5,8,1,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,5,1,6,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,5,6,8,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,2,5,6,8,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,5,4,6,8,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,1,4,7,2,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,1,7,6,5,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,4,6,7,8,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,5,2,6,8,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,5,2,6,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,1,2,7,4,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,2,4,7,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,2,1,4,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,1,4,2,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,1,2,4,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,5,2,6,8,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,4,6,1,8,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,6,7,1,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,6,7,5,1,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,2,6,7,1,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,2,5,6,8,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,5,4,6,8,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,4,6,5,8,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,4,5,8,6,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,4,5,8,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,2,5,6,8,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,4,6,1,8,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,4,5,8,1,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,4,5,8,2,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,6,1,7,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,2,6,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,2,8,3,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,4,2,7,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,7,3,6,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,6,1,7,5,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,7,1,8,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,8,3,6,1,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[9,10,6,8,5,7,3,4,1,2] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[8,10,6,9,5,7,3,4,1,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[9,10,7,8,4,6,3,5,1,2] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[9,10,6,8,4,7,3,5,1,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[8,10,6,9,4,7,3,5,1,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,10,7,9,5,6,2,4,1,3] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[8,10,6,9,5,7,2,4,1,3] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[9,10,7,8,4,6,2,5,1,3] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,10,7,9,4,6,2,5,1,3] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[9,10,6,8,4,7,2,5,1,3] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,10,6,9,4,7,2,5,1,3] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[7,10,6,9,3,8,2,5,1,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,12,8,11,7,9,5,6,3,4,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[10,12,9,11,6,8,5,7,3,4,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,8,10,7,9,4,6,3,5,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[10,12,9,11,7,8,5,6,2,4,1,3] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,9,10,6,8,5,7,2,4,1,3] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[10,12,9,11,6,8,5,7,2,4,1,3] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[11,12,9,10,7,8,4,6,2,5,1,3] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[10,12,8,11,7,9,4,6,2,5,1,3] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,12,8,11,7,10,3,6,2,5,1,4] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[7,12,5,11,4,10,3,9,2,8,1,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[6,2,1,7,3,5,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,6,3,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,3,5,8,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,6,3,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,1,7,3,5,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,3,1,4,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,6,4,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,5,7,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,7,3,6,8,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,7,5,1,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,5,6,1,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,6,1,8,3,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,8,3,7,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,3,5,7,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,5,6,8,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,5,7,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,7,3,6,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,3,5,8,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,4,1,7,5,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,4,7,5,1,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,1,7,3,5,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,1,8,3,5,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,7,5,1,6,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,6,3,1,7,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,7,1,8,5,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,8,5,1,6,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,1,7,8,3,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,1,8,3,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,3,6,4,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,1,6,7,4,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,1,7,4,5,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,6,8,4,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,3,7,4,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,3,6,7,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,8,5,1,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,8,5,6,1,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,1,8,4,5,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,8,3,7,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,5,7,2,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,2,6,8,4,7,3,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,2,7,8,3,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,7,4,8,6,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,8,4,7,6,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,1,2,5,4,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,1,2,3,7,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,2,8,7,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,7,3,8,5,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,2,7,8,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,8,4,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,4,2,7,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,6,3,2,4,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,8,7,4,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,6,3,2,4,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,1,7,2,4,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,8,7,4,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,4,7,5,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,2,7,4,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,4,8,6,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,2,7,6,4,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,9,8,7,6,5,4,1,3] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[1,8,4,3,6,5,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,4,6,5,3,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,4,2,1,6,5,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,6,3,4,5,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,6,7,4,2,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,2,7,1,5,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,2,8,6,5,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,8,6,1,2,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,8,7,4,3,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,8,2,3,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,8,5,3,1,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,8,6,1,3,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,8,1,6,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,8,6,4,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,2,6,4,8,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,5,3,2,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,7,6,5,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,1,6,7,8,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,4,3,6,2,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,7,3,6,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,2,1,4,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,1,4,2,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,1,3,8,5,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,7,8,1,4,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,2,8,1,5,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,6,8,5,1,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,6,4,8,2,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,6,8,5,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,5,8,4,6,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,8,4,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,2,5,8,4,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,6,3,7,2,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,6,3,8,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,6,2,7,5,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,7,8,4,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,8,3,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,3,8,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,3,8,2,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,2,5,4,8,1,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,5,2,3,8,1,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,5,3,2,8,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,6,3,8,2,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,7,8,3,1,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,8,2,3,1,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,6,2,8,3,1,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,7,8,1,3,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,7,8,1,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,7,8,2,1,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,2,8,1,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,7,8,1,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,7,8,1,2,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,7,8,1,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,7,8,1,5,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,7,1,5,3,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,8,6,1,5,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,6,7,5,1,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,7,2,1,5,8,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,6,4,7,1,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,3,6,5,1,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,7,3,5,1,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,1,7,5,8,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,3,5,6,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,8,5,1,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,6,8,2,1,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,3,6,1,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,2,5,6,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,1,2,7,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,3,8,4,1,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,8,4,1,5,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,1,8,5,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,5,1,6,7,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,4,5,6,1,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,3,4,8,1,6,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,3,8,5,1,6,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,6,5,1,2,3,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,5,1,3,2,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,4,3,1,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,8,4,1,7,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,4,5,1,7,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,6,4,1,7,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,5,4,1,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,6,4,1,7,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,6,5,1,8,3,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,5,1,8,4,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,6,2,1,3,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,5,3,1,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,1,5,3,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,1,4,2,5,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,1,6,5,2,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,7,4,3,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,8,5,1,6,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,6,4,7,3,5,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,8,6,1,7,3,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,3,2,1,5,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,5,1,7,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,8,4,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,4,3,1,7,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,7,4,6,1,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,7,2,5,8,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,2,5,3,8,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,4,3,8,5,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,1,7,8,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,3,1,7,8,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,2,1,8,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,6,8,1,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,8,3,1,2,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,8,1,5,2,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,8,7,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,8,3,7,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,8,1,7,5,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,4,8,1,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,3,4,8,1,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,3,2,5,1,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,8,1,5,3,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,8,2,6,4,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,2,8,3,7,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,5,8,3,6,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,5,6,4,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,1,6,3,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,3,5,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,1,4,5,6,2,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[9,7,8,5,6,3,1,4,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,7,8,5,3,6,1,4,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[9,7,5,8,3,6,1,4,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[7,9,5,8,3,6,1,4,2] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[8,9,5,7,3,6,1,4,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,9,6,7,3,5,1,4,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,7,8,5,3,1,6,4,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,10,7,8,5,3,6,1,4,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[9,7,5,3,8,6,1,4,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[9,10,7,5,8,3,6,1,4,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[7,5,9,8,3,6,1,4,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,7,10,5,8,3,6,1,4,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[7,8,6,3,5,1,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,8,7,6,1,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,9,6,8,3,5,1,4,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[10,8,9,5,7,3,6,1,4,2] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[6,5,8,4,7,1,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[10,8,9,6,7,3,5,1,4,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[8,9,6,7,3,5,2,4,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[10,8,9,6,7,4,5,1,3,2] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[7,4,2,5,6,3,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,7,5,6,2,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,2,5,6,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,3,5,6,1,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,8,5,2,7,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,5,1,7,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,8,2,1,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,2,7,8,6,1,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,1,2,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,2,5,6,4,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,5,2,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,2,1,5,3,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,3,1,2,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,3,5,1,7,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,3,1,6,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,5,6,1,7,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,8,7,6,1,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,7,2,1,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,2,7,5,6,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,6,5,1,7,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,4,6,2,3,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,4,6,1,3,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,2,4,3,7,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,1,5,3,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,4,1,2,6,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,2,5,3,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,1,5,4,7,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,2,1,5,6,4,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,5,6,4,2,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,2,8,1,6,5,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,1,5,2,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,1,5,4,7,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,1,4,6,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,5,1,4,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,4,3,5,2,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,3,5,4,7,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,6,1,4,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,8,1,5,7,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,1,6,4,8,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,1,7,6,5,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,2,7,1,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,8,6,5,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,5,8,2,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,6,2,1,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,2,8,1,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,2,6,3,1,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,4,5,2,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,5,1,7,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,5,1,3,8,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,7,6,3,8,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,6,4,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,2,1,6,3,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,8,5,7,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,8,2,7,3,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,7,3,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,2,8,1,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,2,7,1,3,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,7,3,1,8,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,5,3,8,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,2,1,9,8,7] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[6,5,4,3,2,1,8,7,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[5,4,3,2,1,9,8,7,6] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[5,4,3,2,1,8,7,6,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[5,4,3,2,1,7,6,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[5,4,3,2,1,7,6,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[4,3,2,1,8,7,6,5,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[4,3,2,1,7,6,5,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[4,3,2,1,7,6,5,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[4,3,2,1,6,5,8,7,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[4,3,2,1,6,5,7,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[3,2,1,6,5,4,8,7,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[3,2,1,5,4,7,6,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[3,2,1,5,4,7,6,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[2,1,4,3,6,5,7,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[7,6,5,4,3,2,1,10,9,8] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[7,6,5,4,3,2,1,9,8,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[6,5,4,3,2,1,9,8,7,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[6,5,4,3,2,1,8,7,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[5,4,3,2,1,9,8,7,6,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[5,4,3,2,1,8,7,6,10,9] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[5,4,3,2,1,7,6,9,8,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[4,3,2,1,8,7,6,5,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[4,3,2,1,7,6,5,10,9,8] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[4,3,2,1,6,5,8,7,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[3,2,1,6,5,4,8,7,10,9] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[3,2,1,5,4,7,6,9,8,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[2,1,4,3,6,5,8,7,9,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[5,6,3,7,4,2,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,8,1,3,2,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,2,4,6,5,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,8,4,2,5,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,8,4,1,5,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,7,4,8,5,1,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,7,8,5,1,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,8,5,2,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,1,8,4,3,7,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,1,4,2,5,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,5,3,2,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,4,3,1,8,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,2,1,8,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,6,5,1,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,3,6,2,8,5,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,6,3,2,1,8,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,3,1,5,4,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,2,1,6,5,4,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,8,1,5,6,4,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,8,1,6,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,4,1,5,2,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,1,5,4,7,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,4,6,7,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,8,2,1,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,2,3,1,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,1,3,5,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,4,1,3,6,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,5,1,4,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,3,5,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,1,3,5,4,6,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,3,2,5,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,4,2,6,5,8,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,1,5,2,4,7,6,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[3,1,2,5,4,7,6,9,8] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[3,1,4,2,6,5,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[4,1,5,2,6,3,8,7,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[3,1,6,2,7,4,8,5,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[1,3,5,2,4,7,6,9,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,1,2,5,4,7,6,9,8,10] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[6,8,3,1,4,5,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,1,8,2,3,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,6,5,8,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,2,8,7,1,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,3,1,7,8,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,6,2,7,8,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,3,4,8,7,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,6,7,8,9,1,2,3] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => 5

[8,9,6,7,5,4,3,2,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[4,5,6,7,8,9,10,2,3,1] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[5,6,7,8,9,10,1,2,3,4] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[5,6,7,8,9,10,3,4,1,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[7,8,9,10,3,4,5,6,1,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[7,8,9,10,5,6,3,4,1,2] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[8,9,10,5,6,7,2,3,4,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,8,3,7,6,5,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,8,7,5,4,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,8,7,6,4,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,8,7,6,1,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,8,7,5,1,4,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,2,6,5,1,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,8,7,6,5,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,2,6,1,5,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,8,7,1,5,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,8,1,7,6,5,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,8,2,7,6,1,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,7,2,1,6,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,1,7,6,5,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,1,8,7,6,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,4,1,6,5,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,3,1,6,5,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,8,1,7,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,2,1,6,5,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,3,1,8,7,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,3,1,8,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,1,8,6,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,2,1,8,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,2,1,8,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,1,8,7,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[9,7,5,3,1,10,8,6,4,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[9,6,5,3,1,10,8,7,4,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,7,4,3,1,10,8,6,5,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,6,4,3,1,10,8,7,5,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[8,6,4,3,1,10,9,7,5,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[7,6,4,3,1,10,9,8,5,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,7,5,2,1,10,9,6,4,3] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,6,4,2,1,10,8,7,5,3] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,6,4,2,1,10,9,7,5,3] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[7,6,4,2,1,10,9,8,5,3] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[9,6,3,2,1,10,8,7,5,4] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,6,3,2,1,10,9,7,5,4] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[7,6,3,2,1,10,9,8,5,4] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[11,9,6,5,3,1,12,10,8,7,4,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[8,7,5,4,3,1,12,11,10,9,6,2] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[9,8,7,5,2,1,12,11,10,6,4,3] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[10,9,6,5,2,1,12,11,8,7,4,3] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,8,7,4,2,1,12,11,10,6,5,3] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[10,9,7,3,2,1,12,11,8,6,5,4] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[10,8,7,3,2,1,12,11,9,6,5,4] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[9,8,7,3,2,1,12,11,10,6,5,4] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[9,7,5,3,2,1,12,11,10,8,6,4] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,7,4,3,2,1,12,10,9,8,6,5] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[8,7,4,3,2,1,12,11,10,9,6,5] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[6,1,4,2,3,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,1,4,2,3,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,8,2,3,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,3,6,1,4,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,2,3,8,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,3,8,4,1,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,2,3,6,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,2,3,8,1,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,4,3,8,1,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,4,3,6,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,3,8,4,1,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,4,2,1,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,3,6,1,4,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,6,2,1,4,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,2,1,3,8,4,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,2,4,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,4,3,8,1,5,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,4,7,8,5,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,8,5,3,7,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,5,3,1,6,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,8,7,4,2,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,6,8,7,5,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,2,5,4,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,3,7,1,2,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,4,5,1,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,4,2,6,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,6,3,8,7,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,7,4,3,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,3,5,2,8,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,7,5,6,4,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,2,5,7,3,6,4,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,8,6,7,5,3,4,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,2,6,7,5,3,4,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,8,7,2,6,4,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,7,6,1,3,5,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,6,1,3,5,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,3,5,8,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,1,3,8,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,1,3,5,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,3,5,8,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,1,8,3,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,3,8,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,4,3,8,5,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,3,6,5,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,1,3,6,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,6,1,3,5,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,1,4,6,3,5,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,6,3,5,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,6,8,3,5,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,3,8,6,5,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,3,6,5,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,1,4,3,5,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,6,4,3,5,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,6,4,2,8,3,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,4,2,7,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,1,4,6,3,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,1,4,6,3,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,4,1,7,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,8,4,6,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,8,4,5,7,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,8,4,5,6,2,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,8,1,4,5,3,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,7,1,4,5,3,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,7,1,5,4,6,2,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,8,1,5,4,6,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,7,1,5,4,6,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,1,4,5,3,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,1,4,6,3,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,4,2,7,3,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,7,2,8,3,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,2,8,3,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,4,2,8,3,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,1,4,6,3,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,5,4,6,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,1,5,4,2,7,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,6,1,5,4,8,2,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,8,1,4,2,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,1,5,4,7,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,2,7,6,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,4,1,2,6,8,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,7,2,8,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,5,4,7,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,1,5,4,8,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,1,5,4,7,2,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,4,2,6,5,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,3,1,4,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,3,1,4,5,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,1,5,4,2,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,1,5,4,2,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,1,4,7,3,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,2,8,5,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,3,1,4,7,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,5,4,8,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,1,2,8,5,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,2,5,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,7,1,5,4,2,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,3,1,4,5,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,8,1,4,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,3,1,4,5,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,5,4,2,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[9,8,6,5,4,3,2,1,7] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[9,7,6,5,4,3,2,1,8] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[8,4,7,6,3,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,7,4,3,2,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[10,8,7,6,5,4,3,2,1,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,5,2,7,3,1,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,7,2,5,8,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,2,1,5,6,4,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,1,6,8,5,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,2,7,1,8,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,2,8,1,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,3,7,2,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,7,4,2,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,7,6,2,5,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,7,6,1,5,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,8,6,2,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,5,2,1,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,8,4,2,1,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,4,3,8,2,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,8,4,1,2,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,8,6,1,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,4,6,3,5,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,8,6,1,2,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,7,8,3,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,8,3,2,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,8,6,2,1,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,8,7,3,1,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,8,7,3,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,4,7,3,2,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,3,4,7,2,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,7,2,4,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,6,7,2,3,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,8,7,1,3,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,8,3,1,4,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,8,7,1,3,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,6,8,2,1,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,5,4,1,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,6,4,8,1,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,6,3,5,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,8,6,2,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,6,8,1,5,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,6,1,4,7,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,6,1,4,7,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,5,1,6,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,1,8,5,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,6,8,1,4,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,7,6,3,2,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,5,2,7,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,5,8,4,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,4,8,5,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,5,4,6,8,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,5,4,7,1,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,5,4,7,1,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,1,5,6,8,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,6,8,5,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,3,1,8,6,4,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,3,6,2,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,8,6,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,6,8,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,8,5,3,1,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,8,5,3,2,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,4,6,8,3,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,1,7,8,3,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,2,7,8,3,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,4,6,8,3,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,4,5,3,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,3,5,4,6,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,6,2,4,3,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,1,2,4,3,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,6,2,4,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,3,2,4,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,6,3,4,5,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,6,3,4,5,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,2,5,4,3,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,4,5,3,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,1,3,4,5,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,6,3,4,5,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,2,5,4,3,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,8,7,5,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,3,6,4,2,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,2,4,5,6,3,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,2,8,6,1,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,8,6,2,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,3,1,8,2,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,3,6,1,4,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,2,6,3,4,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,3,6,4,8,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,6,3,1,4,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,4,1,3,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,5,8,3,4,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,8,5,4,1,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,3,6,1,4,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,7,2,5,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,2,3,5,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,1,3,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,2,3,5,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,4,8,1,3,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,1,8,5,4,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,5,1,3,4,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,1,7,6,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,7,6,1,8,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,1,6,5,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,4,2,5,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,5,3,8,4,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,2,1,5,7,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,6,4,8,1,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,6,4,8,2,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,6,1,7,3,4,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,7,3,4,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,8,1,6,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,7,1,6,5,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,7,4,2,8,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,1,7,6,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,8,6,5,1,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,2,8,5,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,4,8,1,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,6,4,2,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,7,1,6,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,3,7,8,5,1,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,6,4,2,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,7,8,1,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,4,6,1,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,6,1,5,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,4,8,7,1,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,6,1,5,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,7,6,1,4,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,5,7,1,4,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,4,8,1,5,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,2,4,7,1,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,2,4,8,1,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,3,7,1,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,6,7,1,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,5,8,1,6,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,7,1,5,8,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,6,8,1,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,5,1,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,7,5,1,4,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,8,7,1,4,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,8,7,1,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,5,1,4,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,7,5,4,2,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,8,5,2,3,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,7,1,5,4,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,5,3,8,4,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,3,6,8,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,3,1,5,4,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,2,1,5,3,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,2,1,7,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,6,2,8,3,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,8,1,5,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,2,1,8,5,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,2,1,4,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,6,1,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,6,1,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,1,4,5,6,8,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,1,4,7,6,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,8,7,1,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,7,1,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,7,6,1,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,7,8,1,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,5,4,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,8,1,4,5,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,1,5,6,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,6,7,1,4,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,7,5,1,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,6,8,1,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,5,1,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,1,2,4,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,2,1,4,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,8,3,6,7,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,2,5,6,7,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,4,3,6,2,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,4,1,6,2,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,4,5,8,2,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,6,1,8,2,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,4,5,8,6,7,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,3,1,4,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,4,2,6,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,1,5,6,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,5,6,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,2,3,5,7,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,4,2,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,2,3,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,2,8,3,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,6,1,4,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,1,3,2,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,4,5,1,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,6,2,3,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,5,4,2,1,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,7,4,2,3,1,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,5,4,1,8,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,7,3,1,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,2,4,7,5,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,1,3,7,8,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,7,5,2,4,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,7,5,2,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,8,6,2,4,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,2,1,3,5,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,1,7,3,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,8,3,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,1,5,4,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,5,1,8,3,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,6,2,4,1,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,5,6,1,4,8,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,8,1,4,6,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,5,1,6,7,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,4,5,6,7,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,7,1,4,2,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,4,3,6,7,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,5,3,6,8,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,3,6,5,8,1,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,2,8,4,3,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,1,4,7,3,2,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,7,5,6,8,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,3,8,4,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,8,5,2,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,6,3,4,5,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,7,6,1,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,7,8,2,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,5,1,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,2,5,3,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,1,2,5,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,1,6,8,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,7,1,2,8,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,1,2,3,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,6,3,7,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,4,3,1,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,3,5,7,2,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,5,8,2,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,1,3,2,4,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,3,2,6,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,4,1,5,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,5,7,1,2,6,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,1,2,5,3,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,6,7,5,3,8,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,5,3,2,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,5,3,8,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,5,7,2,3,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,8,2,6,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,7,6,3,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,7,6,2,3,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,3,8,2,6,4,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,8,3,5,7,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,8,2,3,5,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,7,3,8,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,5,2,1,8,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,5,2,8,4,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,8,3,1,7,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,4,8,3,2,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,1,8,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,6,8,2,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,5,7,3,8,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,2,5,3,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,2,8,5,6,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,8,1,6,3,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,1,6,8,3,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,3,1,7,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,3,5,4,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,2,8,1,4,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,5,7,3,8,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,6,7,8,4,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,1,7,3,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,7,1,8,4,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,2,4,8,1,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,1,4,7,3,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,5,6,7,8,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,1,3,4,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,1,7,3,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,2,7,1,8,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,6,3,7,8,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,8,2,4,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,2,7,4,1,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,4,8,6,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,3,2,5,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,7,4,8,5,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,2,7,1,8,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,4,8,5,2,6,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,7,8,5,2,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,7,8,1,6,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,4,7,8,2,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,6,1,7,8,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,2,1,8,5,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,7,4,8,5,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,4,5,3,6,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,5,3,4,7,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,2,5,4,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,4,8,1,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,4,8,1,6,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,8,5,1,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,7,3,8,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,7,4,2,8,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,7,2,8,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,3,7,8,6,2,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,5,2,3,8,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,2,5,3,8,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,7,4,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,2,3,8,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,2,4,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,4,6,7,5,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,8,7,5,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,6,5,8,7,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,5,8,7,2,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,5,8,2,7,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,8,6,4,7,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,7,4,2,5,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[9,8,7,4,6,1,2,3,5] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[9,5,8,2,4,7,1,3,6] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,5,8,4,7,1,2,3,6] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[9,8,3,5,7,1,2,4,6] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[6,9,3,5,8,1,2,4,7] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[9,6,8,1,2,3,4,5,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,7,9,1,2,3,4,6,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[7,9,1,2,3,4,5,6,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[10,9,8,7,4,6,1,2,3,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,9,5,8,2,4,7,1,3,6] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,9,5,8,4,7,1,2,3,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,8,3,5,7,1,2,4,6] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,9,8,5,7,1,2,3,4,6] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[6,10,5,9,4,8,1,2,3,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,3,6,9,2,5,8,1,4,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,6,9,3,5,8,1,2,4,7] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[10,6,9,5,8,1,2,3,4,7] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[7,10,2,4,6,9,1,3,5,8] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[4,2,5,6,3,8,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,5,7,4,8,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,2,1,4,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,3,2,5,8,4,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,6,4,8,1,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,6,4,7,8,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,8,2,6,3,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,3,5,2,4,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,8,2,7,5,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,8,5,7,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,1,5,3,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,4,6,7,3,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,6,3,4,5,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,5,4,1,2,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,6,8,3,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,1,6,5,7,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,3,7,6,1,8,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,6,8,4,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,5,4,3,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,8,5,4,6,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,4,3,8,6,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,1,6,3,5,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,1,7,4,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,3,7,6,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,6,8,7,1,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,2,8,5,7,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,3,8,6,5,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,3,5,1,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,8,3,1,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,6,8,2,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,2,8,1,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,2,8,4,7,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,6,8,4,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,5,1,8,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,4,1,3,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,4,2,3,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,1,3,2,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,3,1,2,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,4,8,7,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,8,3,7,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,5,2,8,7,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,2,1,4,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,2,5,8,1,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,2,3,4,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,2,5,4,1,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,4,2,8,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,1,6,3,4,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,5,6,2,4,1,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,2,1,3,5,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,8,2,1,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,7,6,2,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,8,5,3,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,6,5,2,1,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,7,4,2,5,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,8,2,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,6,3,7,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,3,4,1,5,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,7,6,2,8,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,5,7,4,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,5,6,7,1,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,7,3,8,4,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,7,1,8,5,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,1,8,7,5,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,6,7,1,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,8,5,1,4,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,8,3,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,6,1,3,5,2,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,3,2,5,7,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,4,8,2,5,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,2,5,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,4,3,8,5,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,2,5,4,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,3,8,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,8,5,4,1,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,1,8,6,5,4,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,8,7,3,2,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,8,3,7,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,3,6,2,1,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,3,7,1,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,8,7,6,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,5,7,4,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,5,7,3,1,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,5,4,8,3,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,3,6,7,1,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,5,3,6,4,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,1,3,8,7,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,1,7,4,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,7,1,6,4,2,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,2,7,5,6,8,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,1,2,7,5,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,2,3,6,7,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,4,8,7,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,2,8,1,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,2,8,7,5,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,8,2,6,5,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,8,7,2,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,4,8,1,7,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,1,8,7,5,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,1,2,8,7,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,5,1,6,2,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,6,1,2,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,2,1,8,3,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,7,1,6,4,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,5,4,3,2,9,8,1] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[11,9,8,7,6,5,4,3,2,1,10] => [3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] => 2

[10,7,6,5,4,3,2,1,9,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[9,6,5,4,3,2,8,1,7] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,5,4,3,7,2,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,3,2,8,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,4,3,2,9,7,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,7,6,5,4,3,2,10,9,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[10,9,8,7,6,5,4,3,2,11,1] => [3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] => 2

[7,4,1,2,5,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,4,2,5,1,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,5,1,6,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,4,6,3,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,4,2,3,7,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,1,3,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,6,8,3,1,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,8,1,3,7,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,1,3,8,5,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,7,4,2,8,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,1,3,7,2,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,8,6,2,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,1,3,6,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,2,6,8,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,2,3,6,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,2,3,6,5,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,3,2,7,1,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,5,6,3,7,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,2,5,8,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,8,3,4,5,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,2,4,6,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,6,8,2,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,6,5,3,4,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,6,2,8,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,7,5,8,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,2,6,5,1,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,4,1,2,5,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,3,6,5,1,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,3,7,1,6,8,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,6,8,7,3,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,7,5,8,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,1,6,8,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,7,5,6,8,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,7,3,6,5,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,4,2,6,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,7,6,1,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,6,2,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,7,2,6,8,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,7,3,6,5,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,5,6,2,4,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,6,5,1,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,2,5,4,6,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,7,5,6,1,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,6,7,5,3,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,6,1,4,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,2,4,6,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,7,6,1,3,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,7,6,2,3,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,1,7,5,6,2,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,5,2,6,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,5,4,3,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,6,1,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,6,4,1,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,2,3,7,6,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,3,5,2,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,7,2,5,1,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,6,2,3,5,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,7,2,4,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,7,1,2,6,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,1,7,3,6,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,4,7,5,2,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,7,6,2,5,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,5,6,1,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,4,3,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,6,3,1,4,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,2,3,4,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,5,3,4,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,1,3,8,4,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,1,3,4,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,5,2,7,8,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,6,5,4,2,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,8,5,1,2,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,5,1,8,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,2,8,3,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,7,8,2,5,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,5,2,8,1,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,4,5,8,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,6,4,2,8,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,6,1,2,8,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,3,7,8,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,4,3,6,8,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,2,3,6,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,8,3,2,5,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,3,4,2,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,8,3,1,4,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,7,2,4,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,1,5,4,3,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,1,5,4,3,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,3,5,4,2,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,5,3,4,2,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,5,3,2,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,3,5,2,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,1,5,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,1,5,4,2,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,6,2,5,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,4,5,2,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,5,1,3,7,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,5,1,3,7,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,2,1,3,7,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,1,2,4,5,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,1,2,8,3,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,1,5,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,7,1,3,5,2,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,1,5,3,2,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,1,8,7,3,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,7,5,4,1,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,5,2,3,4,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,6,2,7,1,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,1,2,7,8,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,6,1,5,3,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,6,4,1,3,8,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,2,4,5,3,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,7,5,3,8,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,7,5,3,1,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,2,7,1,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,1,5,3,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,4,7,8,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,1,7,8,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,8,6,7,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,5,6,7,2,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,6,4,1,2,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,6,1,7,2,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,7,3,2,6,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,1,7,2,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,5,7,2,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,2,5,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,7,2,5,1,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,7,2,1,6,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,7,8,5,1,6,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,2,7,8,1,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,2,8,5,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,1,5,6,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,7,1,5,2,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,7,8,5,2,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,6,2,1,8,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,2,1,6,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,3,5,8,6,2,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,6,7,8,5,1,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,1,6,3,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,6,3,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,1,5,3,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,5,8,3,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,4,8,7,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,8,1,3,4,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,8,3,1,2,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,8,3,5,2,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,6,8,3,5,2,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,1,3,5,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,1,3,5,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,8,3,5,1,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,2,3,1,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,2,3,5,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,3,5,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,5,4,1,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,3,4,1,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,1,5,2,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,3,5,1,4,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,8,7,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,6,8,5,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,3,5,7,4,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,5,1,6,7,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,1,3,5,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,7,2,8,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,8,6,7,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,2,5,3,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,8,3,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,8,5,7,4,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,6,8,5,1,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,8,7,5,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,3,2,6,7,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,8,1,6,7,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,1,6,7,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,8,7,2,1,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,5,3,6,4,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,5,7,4,1,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,1,4,6,7,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,3,8,4,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,3,2,8,5,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,8,4,6,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,2,6,5,3,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,2,5,3,1,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,6,2,5,4,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,8,2,4,6,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,7,8,2,3,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,6,2,5,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,4,3,2,8,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,4,3,1,2,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,7,3,5,1,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,4,3,8,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,4,3,8,2,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,4,2,7,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,6,8,5,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,5,7,8,2,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,1,6,7,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,6,1,2,5,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,6,1,2,5,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,8,2,5,1,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,6,2,1,5,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,2,6,8,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,2,3,8,1,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,7,5,8,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,6,1,7,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,1,2,8,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,3,2,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,8,1,2,6,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,1,8,2,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,8,7,2,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,1,8,3,7,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,1,2,8,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,8,1,5,4,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,7,3,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,8,7,6,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,8,7,6,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,5,7,3,4,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,3,6,2,4,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,4,6,2,3,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,5,6,2,4,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,8,5,6,4,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[9,10,5,6,7,8,3,4,1,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[5,8,9,6,7,10,3,4,1,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[9,10,7,8,3,4,5,6,1,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[9,10,3,6,7,4,5,8,1,2] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[3,8,9,6,7,4,5,10,1,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[3,6,7,8,9,4,5,10,1,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[3,4,7,8,5,6,9,10,1,2] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[7,8,9,10,5,6,1,2,3,4] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[5,8,9,6,7,10,1,2,3,4] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[9,10,7,8,1,4,5,2,3,6] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[7,8,9,10,1,4,5,2,3,6] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[9,10,1,6,7,4,5,2,3,8] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[1,8,9,6,7,4,5,2,3,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[1,6,7,8,9,4,5,2,3,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,4,5,6,7,8,9,2,3,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[9,10,1,6,7,2,3,4,5,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[1,8,9,6,7,2,3,4,5,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,6,7,8,9,2,3,4,5,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[9,10,1,2,5,6,3,4,7,8] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,8,9,2,3,4,5,6,7,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[9,10,11,12,7,8,5,6,3,4,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,7,8,9,10,5,6,3,4,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[7,10,11,8,9,12,5,6,3,4,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[7,8,9,10,11,12,5,6,3,4,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,5,6,7,8,9,10,3,4,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[5,10,11,6,7,8,9,12,3,4,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,6,9,10,7,8,11,12,3,4,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[5,6,7,8,9,10,11,12,3,4,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,9,10,7,8,3,4,5,6,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[9,10,11,12,7,8,3,4,5,6,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,7,8,9,10,3,4,5,6,1,2] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[7,10,11,8,9,12,3,4,5,6,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[7,8,9,10,11,12,3,4,5,6,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,10,11,6,7,8,9,4,5,12,1,2] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[3,6,9,10,7,8,11,4,5,12,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,6,7,8,9,10,11,4,5,12,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,9,10,3,4,5,6,7,8,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[9,10,11,12,3,4,5,6,7,8,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,10,11,8,9,4,5,6,7,12,1,2] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[3,8,9,10,11,4,5,6,7,12,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,4,9,10,7,8,5,6,11,12,1,2] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,4,7,8,9,10,5,6,11,12,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,4,5,6,7,8,9,10,11,12,1,2] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,9,10,7,8,5,6,1,2,3,4] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[9,10,11,12,7,8,5,6,1,2,3,4] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[11,12,7,8,9,10,5,6,1,2,3,4] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[7,10,11,8,9,12,5,6,1,2,3,4] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[7,8,9,10,11,12,5,6,1,2,3,4] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,5,6,7,8,9,10,1,2,3,4] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,10,11,6,7,8,9,12,1,2,3,4] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[5,6,9,10,7,8,11,12,1,2,3,4] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,6,7,8,9,10,11,12,1,2,3,4] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[11,12,9,10,7,8,1,4,5,2,3,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,10,11,12,7,8,1,4,5,2,3,6] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,7,8,9,10,1,4,5,2,3,6] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[7,10,11,8,9,12,1,4,5,2,3,6] => [2,2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [[[[.,[.,[.,[.,.]]]],.],.],.] => 4

[7,8,9,10,11,12,1,4,5,2,3,6] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,1,6,7,8,9,4,5,2,3,10] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[11,12,9,10,1,4,5,6,7,2,3,8] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,10,11,12,1,4,5,6,7,2,3,8] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,1,8,9,4,5,6,7,2,3,10] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[11,12,9,10,7,8,1,2,3,4,5,6] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[9,10,11,12,7,8,1,2,3,4,5,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,7,8,9,10,1,2,3,4,5,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[7,10,11,8,9,12,1,2,3,4,5,6] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,1,6,7,8,9,2,3,4,5,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,9,10,1,2,5,6,3,4,7,8] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[9,10,11,12,1,2,5,6,3,4,7,8] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,1,8,9,2,5,6,3,4,7,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,1,2,7,8,5,6,3,4,9,10] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,9,10,1,2,3,4,5,6,7,8] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,10,11,12,1,2,3,4,5,6,7,8] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[11,12,1,8,9,2,3,4,5,6,7,10] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,12,1,2,7,8,3,4,5,6,9,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,1,2,3,4,5,6,7,8,9,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[8,6,4,7,2,1,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,4,7,2,8,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,7,3,5,8,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,6,2,3,5,1,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,8,2,3,6,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,5,2,3,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,8,6,2,3,5,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,5,3,4,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,6,4,8,2,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,7,4,1,2,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,5,3,4,1,2,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,3,7,2,1,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,7,3,5,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,6,4,8,2,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,7,2,3,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,8,2,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,3,8,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,5,7,8,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,6,1,2,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,7,5,1,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,6,1,2,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,6,1,2,3,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,5,8,2,3,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,8,4,1,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,4,1,2,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,4,8,2,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,2,3,8,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,8,5,1,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,2,3,1,7,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,3,8,2,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,4,8,7,2,3,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,8,7,2,3,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,1,8,2,3,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,8,1,5,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,5,8,6,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,8,7,2,3,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,8,7,2,3,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,8,7,6,4,5,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[9,8,7,6,4,5,3,2,1,10] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,8,7,3,6,5,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,2,7,5,8,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,1,7,5,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,4,6,5,8,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,4,6,3,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,4,6,5,3,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,7,1,6,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,7,8,6,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,7,2,6,5,8,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,3,1,2,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,3,7,5,1,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,2,1,6,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,8,2,1,6,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,3,8,5,2,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,8,6,5,1,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,8,7,5,1,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,5,8,6,1,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,3,7,5,2,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,7,8,5,1,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,8,4,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,5,8,3,1,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,4,8,3,1,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,8,7,4,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,2,8,6,4,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,8,4,2,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,3,6,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,3,7,2,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,4,3,8,2,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,3,8,2,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,6,3,7,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,3,5,2,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,6,3,5,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,7,3,5,2,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,3,4,2,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,8,4,6,2,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,8,4,7,3,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,7,3,8,2,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,6,3,8,2,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,1,5,8,7,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,1,4,8,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,8,5,4,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,7,1,8,4,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,1,8,3,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,1,6,8,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,1,7,8,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,8,6,4,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,8,6,4,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,8,4,6,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,8,4,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,1,8,4,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,1,8,7,4,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,8,4,5,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,2,8,6,3,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,8,6,2,5,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,8,6,2,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,3,8,1,5,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,7,3,8,2,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,3,7,8,2,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,7,2,5,8,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,6,7,8,2,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,4,2,1,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,8,6,4,2,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,3,4,2,1,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,4,2,1,5,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,4,2,1,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,8,5,4,1,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,8,6,3,5,4,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,2,1,8,4,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,5,6,4,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,5,6,3,8,4,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,4,2,1,8,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,8,5,6,4,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,6,4,2,1,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,3,7,6,2,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,2,4,1,8,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,4,1,7,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,8,6,4,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,4,3,7,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,7,8,4,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,2,3,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,1,8,4,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,1,7,5,8,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,2,3,7,5,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,7,6,2,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,5,7,6,2,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,6,2,1,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,4,3,6,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,5,4,3,2,8,1,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[6,9,8,5,4,3,2,1,7] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[7,6,5,3,9,8,2,1,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,5,2,7,8,4,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,10,9,6,5,4,3,2,1,8] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[6,5,8,7,4,3,2,1,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[6,4,3,2,5,8,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,7,5,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,5,2,9,8,4,1,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[1,6,7,3,4,2,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,5,2,3,1,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,2,1,4,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,5,2,3,1,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,6,2,3,1,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,2,6,3,1,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,1,7,5,4,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,8,2,4,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,3,2,6,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,2,7,1,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,7,2,1,4,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,7,1,3,4,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,6,1,3,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,8,2,4,5,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,7,1,3,4,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,8,2,3,1,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,8,3,2,5,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,3,8,2,6,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,4,2,8,1,5,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,2,8,3,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,3,8,1,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,2,3,1,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,3,2,4,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,1,3,2,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,1,3,4,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,2,1,5,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,2,1,3,6,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,1,2,4,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,1,2,4,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,2,1,3,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,3,2,5,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,2,4,3,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,8,1,2,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,7,6,3,2,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,3,2,8,1,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,8,1,2,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,6,7,4,1,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,2,4,8,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,4,7,2,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,7,3,8,4,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,2,6,3,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,5,2,7,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,8,5,4,7,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,3,1,4,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,7,5,8,3,6,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,6,4,8,2,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,6,3,8,7,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,5,7,4,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,3,2,7,4,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,1,6,2,8,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,7,4,3,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,6,7,8,1,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,2,6,8,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,3,8,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,7,8,2,4,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,7,8,3,1,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,1,5,8,2,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,2,4,6,8,1,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,4,6,2,3,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,8,2,3,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,6,8,2,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,7,8,4,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,1,7,4,2,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,8,6,2,3,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,6,4,2,3,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,5,2,3,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,3,1,5,8,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,5,8,1,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,5,8,1,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,8,3,1,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,3,8,7,1,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,8,3,7,1,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,6,8,5,7,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,5,3,1,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,6,1,8,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,6,1,8,7,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,8,1,3,7,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,8,5,7,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,8,7,5,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,1,3,7,8,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,6,7,8,9,10,11,2,1] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[1,7,3,2,8,5,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,2,7,5,4,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,2,4,3,7,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,2,5,3,7,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,2,8,5,3,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,2,3,6,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,2,7,4,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,2,6,4,7,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,2,6,8,4,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,2,8,4,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,6,1,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,2,3,4,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,8,2,3,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,8,4,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,1,4,5,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,2,3,4,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,4,3,5,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,1,4,5,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,2,1,6,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,8,3,5,4,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,1,7,3,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,4,6,2,1,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,2,5,3,1,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,2,4,3,1,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,5,4,1,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,2,5,1,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,2,4,1,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,7,8,1,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,7,2,8,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,2,8,5,3,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,2,1,8,4,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,2,8,4,5,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,8,4,3,5,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,8,3,5,4,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,2,3,4,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,1,3,4,8,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,7,4,5,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,2,3,4,1,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,2,3,4,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,4,8,7,5,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,7,3,5,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,4,2,1,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,1,5,2,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,6,2,4,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,7,6,4,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,7,6,2,4,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,7,6,3,4,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,3,6,5,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,7,2,6,5,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,2,8,5,7,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,1,8,5,7,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,3,8,5,2,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,8,7,6,2,1,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,6,3,5,4,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,3,7,2,6,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,8,5,7,3,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,7,2,1,4,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,6,5,1,2,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,8,5,3,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,5,2,4,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,6,8,5,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,5,1,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,1,2,4,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,8,1,6,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,7,2,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,2,4,1,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,8,6,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,2,8,6,4,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,2,7,5,3,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,8,6,4,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,8,4,6,3,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,6,4,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,8,7,6,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,7,3,2,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,8,1,7,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,8,3,7,6,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,8,4,2,7,6,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,8,2,3,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,4,3,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,6,8,4,1,2,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,1,2,8,6,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,4,8,6,2,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,1,8,6,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,4,8,2,7,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,5,8,3,7,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,1,4,8,2,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,4,8,2,1,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,3,4,8,6,1,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,3,4,8,2,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,6,2,4,3,8,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,5,2,3,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,5,4,3,8,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,5,4,3,2,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,4,2,6,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,4,2,6,1,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,8,3,5,4,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,1,2,8,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,3,7,5,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,1,3,6,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,3,2,8,1,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,4,2,6,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,2,8,5,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,4,2,1,5,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,1,2,6,5,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,5,1,6,8,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,3,1,7,6,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,1,3,6,5,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,8,2,6,5,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,3,1,8,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,8,5,6,3,1,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,3,8,1,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,8,2,1,5,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,3,2,5,1,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,8,3,2,5,1,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,3,7,1,6,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,7,6,5,4,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,6,5,4,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,9,7,6,5,4,3,2] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[3,2,8,7,6,5,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,6,5,3,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,6,1,5,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,9,1,7,6,5,4,3,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[7,3,8,6,5,4,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,5,7,6,3,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,6,1,3,2,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,1,5,3,2,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,1,5,3,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,7,5,3,2,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,1,4,5,2,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,3,1,5,2,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,2,6,1,4,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,2,1,7,4,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,3,1,5,2,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,7,1,5,4,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,5,7,3,2,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,1,3,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,6,1,5,7,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,1,6,7,2,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,6,1,8,2,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,2,5,1,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,1,6,8,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,7,1,8,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,4,1,8,2,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,1,4,8,2,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,8,1,3,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,4,1,3,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,1,7,3,2,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,1,7,3,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,4,3,6,2,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,1,8,6,4,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,5,1,7,2,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,8,1,7,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,8,1,2,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,1,8,5,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,7,8,3,1,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,1,7,3,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,7,3,2,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,4,7,1,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,7,4,1,3,6,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,4,8,2,1,3,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,3,6,7,1,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,5,2,3,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,5,2,3,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,5,7,3,6,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,7,2,8,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,5,7,2,6,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,3,7,2,5,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,3,1,7,8,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,1,7,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,1,3,4,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,1,3,4,6,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,7,1,3,6,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,3,5,1,7,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,3,5,7,2,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,6,7,4,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,7,4,8,1,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,2,6,1,7,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,2,6,7,4,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,3,6,7,4,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,3,6,1,7,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,7,3,5,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,4,6,8,1,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,3,4,6,8,2,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,2,4,6,8,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,7,2,6,8,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,7,2,8,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,7,2,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,7,5,8,1,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,7,1,2,5,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,2,4,7,3,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,2,6,7,3,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,2,6,1,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,4,6,2,7,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,5,1,7,8,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,7,2,8,1,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,7,1,3,4,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,4,7,1,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,3,1,7,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,2,4,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,5,2,6,1,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,4,2,1,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,3,1,4,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,3,4,1,5,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,7,4,2,1,5,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,7,3,1,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,2,3,8,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,5,2,8,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,2,1,3,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,3,4,1,2,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,3,2,5,1,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,5,2,7,3,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,2,7,8,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,5,2,6,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,5,6,1,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,6,2,1,3,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,4,1,2,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,6,7,2,4,1,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,4,2,7,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,7,2,1,8,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,2,1,4,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,6,7,3,1,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,5,8,6,3,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,5,8,6,1,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,7,8,1,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,5,6,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,5,8,6,3,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,3,8,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,5,8,3,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,7,1,8,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,3,8,6,1,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,5,8,1,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,8,3,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,1,8,5,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,1,8,3,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,1,8,6,3,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,5,8,1,6,3,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,1,6,3,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,8,1,3,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,1,3,8,6,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,1,5,8,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,3,7,8,6,4,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,1,7,8,6,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,1,7,8,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,3,1,5,6,4,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,5,7,8,6,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,3,4,1,8,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,3,1,4,6,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,3,1,4,8,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,4,1,2,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,7,1,4,2,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,1,4,2,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,5,8,1,2,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,4,3,5,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,7,8,6,1,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,6,2,8,3,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,4,5,1,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,6,3,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,2,4,1,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,6,7,5,4,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,2,5,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,6,5,7,1,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,7,1,4,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,6,1,8,3,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,2,6,3,8,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,8,4,6,7,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,8,6,3,1,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,1,5,6,7,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,2,4,8,5,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,7,5,2,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,7,2,3,1,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,3,1,8,7,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,5,2,3,1,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,2,6,5,1,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,3,6,8,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,7,8,4,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,5,7,8,3,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,1,2,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,7,8,6,3,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,7,4,3,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,3,4,2,1,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,6,1,5,7,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,6,7,3,5,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,7,5,3,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,6,3,1,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,2,5,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,3,7,5,1,8,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,4,8,7,5,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,2,5,8,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,4,8,6,5,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,4,8,7,5,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,7,3,8,1,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,8,7,2,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,5,6,2,8,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,2,8,7,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,5,3,2,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,1,8,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,3,6,2,8,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,8,3,2,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,8,2,1,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,2,5,1,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,8,2,4,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,2,3,8,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,2,8,7,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,8,1,3,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,3,7,5,8,4,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,3,7,4,6,5,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,7,5,3,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,5,6,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,6,4,5,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,5,2,1,4,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,3,1,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,5,3,2,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,2,6,4,1,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,3,7,5,8,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,6,4,3,7,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,4,8,6,3,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,8,6,3,7,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,3,8,4,7,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,1,6,8,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,2,1,5,4,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,3,8,2,1,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,7,3,1,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,7,2,1,5,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,3,7,2,8,4,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,8,2,1,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,4,5,7,1,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,6,2,7,1,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,1,2,8,3,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,4,1,3,7,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,1,7,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,1,7,5,4,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,8,7,4,6,5,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,1,8,7,4,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,2,7,1,8,5,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,6,5,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,8,3,6,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,9,2,3,4,5,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,1,2,3,8,9,5,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[3,5,8,7,2,6,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,2,7,1,6,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,6,4,5,8,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,3,7,5,2,8,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,7,8,2,6,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,3,7,5,1,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,8,5,7,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,6,4,5,1,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,3,6,5,1,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,7,5,8,6,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,1,7,3,6,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,7,8,4,6,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,8,3,7,6,1,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,7,3,1,6,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,7,4,1,5,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,8,4,6,5,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,1,5,4,6,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,7,1,4,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,1,4,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,4,8,5,2,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,7,1,4,2,5,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,8,6,2,7,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,1,8,2,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,1,5,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,7,1,3,5,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,3,7,4,1,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,6,7,5,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,3,6,1,7,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,1,6,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,6,1,7,2,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,1,8,2,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,6,7,1,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,4,1,2,5,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,3,6,7,1,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,2,1,3,5,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,7,3,6,1,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,7,3,6,2,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,2,7,6,3,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,3,1,5,6,2,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,1,2,7,5,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,4,2,6,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,2,8,6,7,3,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,2,7,3,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,3,6,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,3,6,7,2,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,7,1,2,5,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,1,2,3,6,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,7,4,6,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,7,4,2,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,6,2,4,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,6,4,3,5,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,4,2,7,6,1,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,1,8,6,2,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,7,6,4,5,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,7,5,8,4,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,1,6,8,7,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,8,7,5,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,2,1,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,4,6,3,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,5,2,1,4,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,6,2,3,8,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,1,5,3,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,8,1,3,6,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,1,3,4,6,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,6,1,3,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,6,2,1,3,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,8,7,3,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,3,7,2,5,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,6,8,2,3,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,2,8,3,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,7,2,1,8,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,3,4,1,2,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,5,4,1,3,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,3,7,1,5,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,2,8,1,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,7,8,2,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,5,6,4,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,6,8,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,6,7,5,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,7,2,4,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,8,7,2,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,2,4,3,7,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,6,2,8,7,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,4,3,6,8,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,2,6,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,8,5,7,1,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,6,7,1,8,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,2,5,6,7,1,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,8,4,2,6,3,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,7,1,2,6,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,1,8,2,3,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,1,4,3,5,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,4,3,5,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,4,1,5,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,7,2,3,1,5,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,3,5,4,8,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,5,7,4,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,3,4,1,7,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,6,1,4,3,7,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,4,7,1,3,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,5,1,3,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,5,8,1,3,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,1,3,2,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,1,3,2,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,6,5,7,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,2,3,1,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,3,7,6,8,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,5,7,3,8,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,5,7,2,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,1,6,4,7,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,3,6,2,7,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,2,6,1,7,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,3,6,1,7,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,6,7,4,3,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,2,8,3,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,7,3,1,8,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,6,8,4,3,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,3,7,2,8,5,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,4,3,6,8,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,4,5,7,8,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,5,6,8,4,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,5,6,8,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,4,7,5,8,3,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,4,1,8,6,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,5,7,3,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,6,8,1,7,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,6,1,8,7,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,2,6,1,7,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,2,1,6,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,1,6,2,7,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,3,2,7,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,2,6,4,1,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,1,6,3,7,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,6,3,1,7,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,2,1,7,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,2,7,4,1,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,7,1,3,6,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,6,4,2,7,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,1,5,4,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,1,6,3,2,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,1,7,6,5,4,3,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[7,3,1,6,5,4,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,2,6,5,4,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,8,7,6,5,4,1,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[8,3,1,7,6,5,4,9,2] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[7,3,2,1,5,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,6,1,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,7,6,8,4,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,7,2,5,4,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,9,2,7,6,5,4,1,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[8,4,1,7,6,5,9,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[8,3,2,1,6,5,4,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[7,5,1,6,8,4,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,2,6,7,4,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,2,7,6,5,8,1,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,9,8,2,6,5,4,1,7] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[3,4,2,6,7,1,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,6,5,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,6,2,4,7,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,8,7,2,4,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,2,5,4,3,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,1,6,3,5,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,3,8,7,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,5,3,7,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,8,2,7,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,3,5,1,8,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,8,7,4,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,1,7,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,6,7,3,5,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,8,4,7,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,4,8,6,5,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,7,2,8,5,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,6,3,8,2,7,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,5,3,8,2,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,5,1,3,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,6,4,3,8,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,4,3,2,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,7,6,2,4,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,8,2,5,7,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,2,5,8,4,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,4,1,3,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,6,3,2,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,1,7,5,2,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,5,3,1,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,2,7,4,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,2,8,4,6,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,5,7,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,2,1,7,4,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,4,8,3,7,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,1,8,3,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,2,7,1,8,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,1,8,5,6,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,8,5,6,4,7,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,2,3,1,6,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,1,5,3,6,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,3,5,1,7,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,7,3,5,1,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,7,1,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,1,6,3,4,2,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,5,6,3,4,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,1,6,4,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,8,1,7,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,4,2,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,1,4,2,8,6,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,5,8,3,7,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,8,2,3,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,4,6,2,8,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,3,5,4,7,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,2,7,1,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,3,1,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,1,8,7,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,6,8,7,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,4,8,7,2,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,8,4,7,3,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,3,5,7,1,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,7,8,2,5,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,5,2,8,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,5,3,7,2,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,5,2,3,7,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,3,8,2,6,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,3,4,8,5,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,5,8,1,6,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,4,7,8,5,2,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,2,7,4,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,7,3,2,5,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,7,8,4,3,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,2,5,8,3,6,4,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,5,8,3,4,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,5,7,3,6,8,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,6,8,4,5,2,7,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,8,2,3,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,1,6,5,3,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,2,6,3,5,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,4,3,8,5,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,4,3,6,5,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,8,7,4,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,8,6,5,7,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,4,8,3,5,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,8,4,3,5,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,1,4,2,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,8,4,2,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,8,4,3,5,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,8,4,3,5,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,4,8,3,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,1,5,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,3,1,8,4,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,3,8,4,5,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,1,4,8,3,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,4,1,3,8,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,7,8,4,3,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,1,8,4,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,1,8,4,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,7,8,4,3,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,7,4,8,3,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,3,6,2,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,6,7,1,8,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,7,8,5,3,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,8,4,5,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,8,1,5,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,7,8,1,5,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,6,7,8,4,2,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,7,6,5,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,2,4,7,3,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,3,6,4,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,2,6,7,4,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,7,3,2,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,1,7,3,2,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,1,8,3,2,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,8,3,5,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,7,8,6,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,5,7,8,3,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,3,4,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,5,2,4,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,4,6,3,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,4,3,1,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,4,3,1,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,2,4,5,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,8,6,4,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,4,3,7,5,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,6,7,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,1,7,6,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,5,2,3,8,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,6,3,1,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,2,3,1,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,4,6,8,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,3,2,8,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,4,5,1,8,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,2,6,7,4,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,1,5,6,7,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,2,4,6,7,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,6,8,5,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,6,1,8,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,3,8,5,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,3,7,8,5,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,3,6,8,4,1,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,2,3,5,7,1,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,8,3,5,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,8,3,6,7,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,1,8,4,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,1,8,4,5,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,8,3,5,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,8,3,2,4,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,8,2,1,4,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,4,2,1,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,8,6,5,7,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,8,4,1,2,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,4,3,6,2,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,2,4,7,6,5,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,2,1,4,6,5,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,8,5,2,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,8,2,3,7,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,7,2,1,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,3,5,1,4,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,7,5,8,2,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,6,1,7,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,1,4,7,8,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,8,5,6,2,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,3,8,4,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,7,2,5,3,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,5,1,4,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,8,4,6,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,4,8,7,2,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,4,8,2,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,5,2,3,7,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,8,3,2,1,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,2,8,4,1,5,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,8,1,2,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,4,3,2,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,6,2,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,4,3,8,1,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,6,8,5,2,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,8,3,6,5,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,8,5,4,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,8,3,4,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,5,7,3,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,5,7,4,1,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,5,8,4,1,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,5,7,8,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,7,3,8,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,2,7,5,8,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,7,8,5,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,4,8,7,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,5,3,7,8,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,2,3,8,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,1,2,3,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,4,2,3,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,4,2,6,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,9,8,7,6,5,4,3] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[1,2,9,8,7,6,5,4,3] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[3,2,1,9,8,7,6,5,4] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[1,2,3,9,8,7,6,5,4] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[4,3,2,1,9,8,7,6,5] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[1,2,3,5,4,7,6,9,8] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[1,2,10,9,8,7,6,5,4,3] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[3,2,1,10,9,8,7,6,5,4] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[5,2,7,4,1,6,3,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,7,3,1,5,6,2,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,8,3,4,1,6,7,2] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,7,8,4,5,6,2,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,5,8,4,2,6,7,3] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,3,8,5,2,7,4] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,2,3,7,1,6,4,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,2,3,7,5,1,4,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,7,3,4,8,6,2,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,2,3,4,8,1,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[8,7,6,3,1,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,1,7,2,3,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[9,8,7,6,5,2,1,4,3] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[9,8,7,3,2,1,6,5,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,8,7,6,3,1,5,2,4] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,4,3,2,1,8,7,6,5] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[9,8,4,3,1,7,6,2,5] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[9,8,7,2,1,4,3,6,5] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,8,7,4,1,6,2,3,5] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[9,5,2,1,8,4,3,7,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,3,1,9,5,2,8,4,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[10,9,8,7,6,5,2,1,4,3] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,9,8,7,3,2,1,6,5,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,8,7,6,3,1,5,2,4] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,9,8,7,4,1,6,2,3,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,5,2,1,8,4,3,7,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,8,3,1,5,2,7,4,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[6,5,4,1,10,9,8,2,3,7] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[10,3,2,1,6,5,4,9,8,7] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[7,2,1,10,4,3,6,5,9,8] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[7,6,1,10,9,2,3,4,5,8] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[4,1,6,2,8,3,10,5,7,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[8,1,10,2,3,4,5,6,7,9] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[2,4,8,6,3,1,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,8,2,1,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,5,8,2,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,4,5,3,2,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,1,5,2,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,6,2,1,8,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,6,2,7,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,6,3,7,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,5,6,7,3,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,6,8,7,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,3,8,6,7,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,3,2,6,7,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,8,6,7,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,1,8,6,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,8,6,1,7,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,6,1,8,7,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,6,8,7,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,6,8,7,1,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,1,6,7,8,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,1,7,8,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,1,7,3,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,1,6,7,4,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,5,6,7,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,6,7,4,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,1,6,7,4,2,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,6,1,7,3,2,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,4,8,7,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,4,8,7,5,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,6,2,4,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,2,4,7,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,1,7,8,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,2,4,8,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,2,5,4,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,2,5,4,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,1,5,4,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,8,6,1,4,7,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,1,5,4,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,7,5,4,8,3,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,7,5,4,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,8,4,7,3,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,7,5,4,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,3,2,4,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,2,5,4,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,7,5,4,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,3,7,5,4,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,8,4,7,3,2,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,8,4,7,3,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,2,4,7,3,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,4,3,7,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,3,5,4,8,2,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,6,3,1,4,7,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,4,1,7,2,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,7,4,6,8,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,3,2,7,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,3,2,7,8,5,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,4,3,1,7,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,3,5,4,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,3,4,6,8,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,3,5,4,8,1,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,2,1,4,7,8,5,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,1,7,6,4,3,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,8,6,4,2,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,2,8,1,3,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,6,4,1,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,5,8,1,4,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,6,8,1,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,5,2,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,7,5,2,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,6,3,1,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,8,1,6,5,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,7,3,6,1,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,8,6,3,1,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,6,1,8,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,6,3,1,4,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,8,1,3,7,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,6,1,4,7,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,5,8,1,2,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,6,1,2,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,1,6,5,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,8,7,6,2,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,1,6,2,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,8,7,1,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,1,2,7,3,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,1,8,2,7,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,1,8,7,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,1,7,2,8,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,7,4,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,7,4,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,1,5,2,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,7,2,3,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,2,1,5,7,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,2,3,1,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,6,7,4,1,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,2,7,1,4,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,8,3,4,7,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,6,3,1,8,4,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,2,7,4,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,2,7,6,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,3,1,8,7,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,3,7,8,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,8,2,5,7,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,8,4,7,2,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,3,8,4,1,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,4,1,5,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,1,7,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,3,7,8,1,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,1,7,2,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,7,4,2,6,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,8,3,2,5,1,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,8,4,3,1,5,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,4,2,1,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,7,3,2,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,1,8,3,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,8,1,6,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,1,7,4,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,7,6,1,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,8,6,1,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,2,8,7,1,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,2,8,1,7,3,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,5,8,4,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,2,1,6,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,1,4,5,7,2,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,8,5,4,7,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,6,3,7,4,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,3,8,4,2,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,2,7,3,1,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,8,1,2,5,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,1,7,8,4,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,2,7,8,4,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,1,6,3,8,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,1,7,8,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,1,7,3,8,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,2,7,8,4,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,5,4,3,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,6,1,3,5,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,6,5,7,3,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,1,5,7,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,6,2,5,3,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,3,7,4,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,8,7,5,2,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,1,8,5,3,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,6,4,8,3,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,1,3,8,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,7,6,3,1,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,2,5,7,1,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,4,5,3,8,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,7,1,3,2,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,6,5,7,1,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,3,2,6,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,5,6,2,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,5,6,2,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,1,3,2,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,5,2,8,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,7,8,6,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,7,6,2,8,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,6,1,2,8,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,1,2,8,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,5,2,1,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,6,8,4,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,3,2,7,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,4,2,7,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,7,8,3,1,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,2,8,4,3,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,2,8,6,3,4,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,8,4,3,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,8,1,7,2,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,7,8,4,2,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,1,8,4,3,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,4,2,1,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,8,3,1,6,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,8,1,2,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,8,3,2,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,8,6,2,4,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,7,8,4,6,1,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,7,2,1,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,1,6,3,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,4,2,1,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,7,2,5,8,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,5,2,6,3,1,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,5,8,3,6,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,8,1,2,6,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,1,3,5,2,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,1,2,6,4,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,6,1,3,4,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,4,6,1,3,2,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,4,5,2,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,4,3,6,1,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,4,3,7,8,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,1,8,3,2,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,6,5,1,7,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,1,7,4,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,4,8,1,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,7,8,1,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,5,7,1,8,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,7,8,2,1,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,3,8,4,1,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,8,3,4,6,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,4,1,3,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,5,8,3,1,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,7,4,8,1,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,3,1,8,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,4,3,1,5,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,5,2,7,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,7,6,1,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,6,4,5,7,8,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,1,2,5,8,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,1,5,8,2,4,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,6,1,4,8,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,1,5,7,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,4,8,1,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,1,3,8,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,3,7,1,2,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,3,5,8,2,6,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,6,8,7,2,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,2,1,6,8,3,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,7,6,8,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,7,2,6,8,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,1,7,3,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,1,2,7,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,3,4,7,2,5,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,8,1,2,7,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,7,4,8,2,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,8,2,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,5,8,2,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,3,2,7,5,6,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,7,3,8,1,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,7,3,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,2,8,6,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,3,8,7,1,5,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,1,8,7,4,2,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,8,3,6,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,7,8,5,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,7,4,8,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,2,4,3,8,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,7,3,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,8,2,4,1,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,8,2,4,5,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,7,2,4,5,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,1,4,2,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,1,7,2,5,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,6,1,2,3,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,3,1,6,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,4,7,1,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,5,2,7,1,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,6,7,5,3,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,8,7,3,6,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,3,2,7,1,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,3,2,7,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,1,4,7,5,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,7,4,5,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,4,8,5,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,4,6,2,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,7,8,2,3,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,4,6,2,1,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,3,5,2,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,6,5,2,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,6,4,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,6,5,3,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,6,1,3,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,6,1,2,5,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,1,7,8,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,4,3,1,8,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,6,2,7,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,2,4,5,8,3,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,6,4,7,2,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,3,4,2,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,2,1,3,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,7,3,8,2,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,1,7,8,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,5,1,3,2,4,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,7,8,3,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,4,7,1,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,2,5,4,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,6,1,5,3,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,6,4,1,3,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,6,4,5,2,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,8,5,7,4,2,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,8,7,1,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,7,8,1,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,8,7,4,1,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,8,4,1,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,1,2,7,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,1,2,7,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,4,1,3,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,4,7,1,6,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,8,7,3,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,7,5,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,4,8,5,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,8,7,5,1,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,1,8,4,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,7,2,1,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,3,7,8,5,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,6,8,5,1,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,7,8,5,1,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,7,8,1,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,7,8,2,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,1,5,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,3,2,7,6,1,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,8,6,1,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,5,6,1,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,6,1,5,2,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,2,3,7,6,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,8,5,3,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,4,8,5,1,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,6,4,8,5,2,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,8,6,5,2,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,8,7,5,6,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,3,2,8,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,4,8,5,6,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,3,1,2,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,1,4,5,8,3,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,2,4,8,3,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,2,4,8,6,3,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,6,1,5,4,8,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,7,3,2,1,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,7,2,5,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,6,4,2,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,3,1,6,5,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,2,5,7,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,3,1,2,4,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,3,7,8,4,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,3,8,7,5,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,4,8,1,3,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,4,5,2,1,6,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,6,8,1,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,5,6,3,8,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,2,4,7,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,7,3,5,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,8,4,3,1,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,3,7,4,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,8,5,2,7,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,6,5,4,8,3,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,7,8,4,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,4,3,5,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,8,7,1,6,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,4,3,6,8,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,6,5,4,1,2,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,7,5,6,3,8,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,2,7,3,4,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,2,1,4,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,1,3,6,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,3,5,4,2,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,6,4,3,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,3,6,4,7,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[9,1,8,7,6,5,4,3,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[5,4,8,7,6,1,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,9,8,7,6,5,4,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[10,1,9,8,7,6,5,4,3,2] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[9,8,1,7,6,5,4,3,2] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[7,6,1,8,5,4,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,8,1,7,4,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,8,7,4,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,9,8,7,6,1,3,2] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[4,3,9,8,7,6,5,1,2] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[3,2,9,8,7,6,5,4,1] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[3,1,10,9,8,7,6,5,4,2] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[1,6,4,8,3,2,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,8,5,6,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,2,5,4,7,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,3,8,5,7,1,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,2,5,3,4,1,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,7,4,3,1,5,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,2,3,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,4,8,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,8,6,1,3,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,2,3,1,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,2,4,7,1,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,4,1,3,7,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,3,1,8,2,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,1,2,8,3,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,1,3,5,7,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,6,1,8,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,3,1,8,2,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,1,4,7,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,8,3,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,1,8,2,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,2,1,8,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,6,3,7,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,7,8,3,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,6,8,7,3,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,6,8,7,5,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,8,1,7,5,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,7,1,8,3,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,7,3,8,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,2,3,5,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,8,6,3,2,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,1,6,3,8,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,3,1,5,8,4,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,5,7,6,3,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,4,5,6,1,8,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,1,5,8,6,3,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,7,6,1,8,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,5,1,6,8,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,5,1,4,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,2,3,6,8,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,8,3,7,1,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,1,8,5,3,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,4,6,1,3,5,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,5,4,7,8,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,4,3,7,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,7,6,5,8,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,7,5,6,8,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,7,2,8,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,1,7,6,8,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,4,6,3,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,5,2,7,6,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,5,3,1,8,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,3,6,8,1,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,2,6,1,8,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,3,5,7,2,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,6,7,8,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,5,2,6,8,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,1,4,3,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,4,5,2,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,4,2,3,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,7,8,5,2,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,7,5,8,2,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,7,5,8,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,7,1,8,4,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,2,1,4,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,2,5,1,3,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,2,5,1,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,1,7,3,2,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,8,1,7,3,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,7,3,1,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,2,3,7,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,8,1,7,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,8,4,6,1,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,5,8,4,3,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,8,2,7,1,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,8,2,6,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,8,3,7,1,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,8,4,6,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,8,1,6,2,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,8,1,6,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,5,1,6,2,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,4,8,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,8,5,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,4,3,1,5,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,4,3,8,2,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,4,2,6,7,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,7,5,3,8,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,3,4,8,2,5,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,3,4,8,1,5,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,7,4,8,2,3,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,4,8,1,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,5,8,4,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,8,2,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,2,3,5,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,2,3,6,5,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,1,7,5,2,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,6,7,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,3,8,4,6,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,8,5,4,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,6,8,7,4,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,6,7,3,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,8,7,5,4,6,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,8,2,6,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,4,1,5,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,1,4,5,6,3,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,8,5,1,4,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,4,5,1,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,8,4,1,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,4,8,1,5,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,8,2,6,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,8,1,4,6,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,7,5,8,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,5,6,8,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,8,6,5,3,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,1,8,6,5,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,1,8,6,5,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,2,8,5,1,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,6,8,5,4,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,7,1,8,4,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,2,8,4,5,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,1,5,8,4,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,6,1,8,4,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,7,5,3,2,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,7,4,2,5,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,4,2,5,3,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,4,7,1,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,5,3,6,4,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,1,6,4,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,3,8,7,4,2,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,8,7,5,4,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,8,7,5,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,7,4,2,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,2,1,8,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,3,5,7,4,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,6,3,5,7,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,8,5,2,1,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,3,7,4,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,6,3,7,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,2,6,3,7,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,8,7,4,2,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,3,7,4,2,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,6,3,2,4,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,3,2,4,7,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,8,6,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,2,8,7,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,5,1,3,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,5,8,6,3,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,1,8,7,4,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,8,7,5,3,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,6,4,1,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,8,6,3,2,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,2,8,6,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,1,8,5,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,2,6,3,1,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,8,5,2,6,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,2,7,4,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,6,3,1,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,1,7,4,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,7,5,8,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,1,7,5,8,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,8,5,2,1,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,8,5,7,3,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,5,7,8,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,3,8,7,1,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,4,2,6,3,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,3,5,8,7,1,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,8,7,5,1,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,7,8,5,1,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,6,4,8,1,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,7,5,1,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,8,7,1,3,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,8,6,1,3,2,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,7,1,4,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,1,8,7,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,6,3,2,8,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,6,8,1,5,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,2,1,8,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,6,1,7,3,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,6,3,5,8,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,5,1,6,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,5,8,1,4,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,2,6,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,1,6,5,4,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,6,1,8,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,7,2,3,1,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,1,6,7,4,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,4,3,6,8,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,1,6,3,2,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,7,4,8,5,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,1,6,3,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,4,6,7,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,3,6,7,5,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,2,3,8,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,2,4,1,3,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,5,1,8,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,8,4,2,3,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,4,6,1,7,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,7,6,1,5,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,1,4,5,7,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,6,8,4,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,5,7,3,8,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,2,6,5,8,4,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,5,1,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,5,6,4,7,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,8,1,6,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,8,3,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,7,3,4,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,3,1,6,4,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,1,5,4,2,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,5,2,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,2,5,4,1,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,2,5,3,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,8,7,1,4,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,8,6,2,4,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,6,2,7,5,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,4,1,7,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,4,3,5,1,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,3,5,1,7,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,1,6,5,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,6,4,3,8,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,7,4,3,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,1,7,4,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,8,2,1,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,1,6,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,1,6,2,8,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,5,2,8,4,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,8,1,5,3,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,2,8,4,1,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,4,2,8,5,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,1,3,7,4,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,3,7,5,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,5,6,1,7,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,1,3,8,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,7,1,5,2,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,3,8,4,2,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,2,7,1,3,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,2,8,1,3,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,8,3,7,5,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,2,1,5,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,6,4,8,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,8,3,7,4,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,2,1,7,4,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,4,5,2,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,2,7,1,6,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,1,7,2,6,8,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,7,2,8,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,2,1,5,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,7,1,3,8,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,1,5,7,8,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,7,1,5,8,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,3,7,4,8,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,2,7,6,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,1,4,2,8,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,3,2,8,1,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,5,3,6,4,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,3,2,7,5,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,4,3,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,5,6,1,4,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,8,1,4,2,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,8,1,3,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,7,1,6,3,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,6,1,5,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,7,2,6,1,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,7,5,4,2,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,5,4,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,1,2,5,4,7,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,7,5,8,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,7,1,5,3,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,6,7,4,8,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,6,1,4,7,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,4,2,1,3,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,1,5,4,7,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,6,1,4,2,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,1,2,5,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,1,7,6,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,3,2,7,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,7,4,5,8,1,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,4,7,5,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,6,4,1,7,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,7,4,8,6,2,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,7,8,5,4,1,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,3,1,7,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,4,1,3,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,6,8,4,7,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,3,7,6,5,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,7,5,8,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,4,1,3,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,3,6,2,1,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,7,4,2,3,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,7,2,3,5,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,3,1,6,7,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,3,1,5,7,6,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,8,4,1,2,7,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,7,2,3,6,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,1,8,4,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,7,4,1,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,5,6,7,1,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,6,5,8,1,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,5,8,6,1,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,1,2,8,3,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,3,8,7,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,7,1,8,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,8,2,7,3,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,2,7,5,3,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,7,1,4,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,3,7,6,8,4,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,3,6,8,7,4,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,3,7,8,4,6,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,3,6,8,4,7,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,2,3,7,8,6,4,5] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[6,2,8,3,7,5,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,3,7,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,4,8,6,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,5,8,7,2,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,3,8,5,7,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,3,8,6,2,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,3,7,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,4,3,7,5,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,4,8,7,2,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,3,8,6,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,5,4,7,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,5,6,4,7,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,6,5,8,3,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,7,8,4,5,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,7,8,5,6,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,8,6,7,4,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,8,7,5,4,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,2,7,4,5,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,6,3,4,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,6,8,5,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,8,7,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,5,8,6,2,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,3,5,7,4,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,5,8,4,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,6,8,3,2,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,5,8,4,7,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,7,1,3,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,6,1,7,2,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,1,2,4,8,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,7,1,2,4,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,5,6,1,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,2,4,8,1,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,2,8,6,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,1,3,7,4,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,7,1,2,4,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,7,1,2,3,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,4,1,2,5,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,1,2,6,5,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,4,8,2,7,5,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,4,7,2,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,3,7,4,1,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,8,7,4,1,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,3,8,6,4,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,3,7,6,4,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,7,1,4,6,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,6,7,5,2,1,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,7,8,2,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,7,6,5,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,4,6,8,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,8,4,5,7,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,8,5,4,7,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,8,1,5,3,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,8,5,7,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,2,1,6,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,6,5,2,7,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,5,6,1,7,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,7,8,1,2,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,2,8,4,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,1,7,4,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,6,7,5,1,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,4,1,7,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,1,4,2,8,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,1,3,8,2,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,1,3,4,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,3,7,5,8,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,1,3,7,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,3,6,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,5,8,4,3,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,3,4,2,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,8,1,2,6,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,8,1,5,7,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,7,5,3,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,3,7,4,1,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,4,8,6,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,5,3,7,4,8,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,8,4,5,1,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,8,1,4,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,3,1,5,4,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,2,1,5,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,6,1,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,6,5,1,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,2,3,7,5,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,2,5,4,8,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,5,1,8,4,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,7,3,1,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,8,4,3,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,4,2,6,7,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,3,2,1,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,2,1,6,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,3,7,2,1,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,8,1,7,2,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,7,4,6,8,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,1,8,2,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,6,3,8,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,6,4,8,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,5,4,8,7,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,8,7,2,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,3,8,7,1,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,8,6,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,6,5,4,3,1,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,2,6,3,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,3,1,4,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,6,4,2,8,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,7,4,3,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,2,6,8,3,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,7,6,3,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,7,6,5,2,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,4,7,2,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,7,4,6,2,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,7,2,6,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,6,2,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,6,1,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,7,6,1,4,2,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,7,6,4,1,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,2,7,6,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,6,4,1,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,5,4,1,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,7,5,4,1,8,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,5,1,4,8,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,5,1,4,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,7,1,2,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,2,7,1,6,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,2,7,1,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,7,4,2,1,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,4,7,2,1,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,4,7,2,1,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,3,1,8,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,3,1,8,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,7,4,2,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,5,7,1,4,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,2,7,1,4,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,5,2,1,8,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,7,5,1,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,2,5,1,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,5,2,1,8,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,7,5,8,4,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,4,1,7,6,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,8,6,4,1,7,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,6,8,1,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,4,1,8,6,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,4,1,7,6,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,8,2,4,1,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,2,4,1,6,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,6,8,1,5,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,5,6,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,8,6,7,1,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,6,8,7,1,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,6,7,1,5,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,2,7,5,1,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,4,1,8,3,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,8,5,7,1,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,1,8,7,4,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,6,3,5,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,7,6,8,2,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,8,2,3,7,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,8,5,3,4,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,4,6,8,7,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,4,8,6,1,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,2,6,7,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,8,3,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,4,2,1,3,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,1,3,2,5,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,2,3,1,7,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,3,2,6,8,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,4,3,8,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,2,4,3,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,1,6,7,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,5,7,4,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,7,3,4,1,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,6,3,5,8,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,2,7,8,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,8,5,1,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,2,8,6,5,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,6,8,7,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,2,1,3,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,8,7,4,1,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,7,5,2,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,4,2,5,8,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,4,8,6,7,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,2,1,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,5,2,4,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,3,2,4,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,3,2,1,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,2,5,4,1,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,3,2,4,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,3,7,2,4,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,3,7,2,4,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,2,7,4,1,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,2,4,7,1,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,2,1,4,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,1,7,4,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,7,5,4,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,1,2,4,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,5,1,4,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,1,3,2,4,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,5,2,4,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,2,5,4,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,7,5,4,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,2,7,5,4,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,5,4,2,7,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,3,4,2,8,1,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,5,6,2,7,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,1,4,8,2,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,5,4,8,2,6,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,5,1,6,4,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,5,4,8,6,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,4,2,8,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,4,8,1,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,4,1,8,7,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,4,5,8,7,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,4,3,8,5,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,3,4,5,8,2,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,1,3,2,5,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,5,8,3,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,4,3,8,1,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,4,3,8,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,5,6,3,8,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,6,5,3,8,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,3,5,4,8,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,4,5,8,1,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,4,8,3,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,5,6,4,8,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,3,2,4,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,1,5,4,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,5,8,1,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,8,2,1,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,1,5,3,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,5,6,3,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,6,8,1,7,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,6,3,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,3,1,7,2,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,3,5,2,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,3,2,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,6,1,2,7,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,1,7,4,5,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,6,1,3,7,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,2,1,3,7,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,2,1,7,4,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,4,7,6,5,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,2,7,1,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,2,7,1,3,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,1,7,2,5,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,5,3,4,7,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,1,7,5,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,4,3,2,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,4,8,6,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,2,5,3,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,8,1,4,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,2,6,7,3,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,2,3,8,4,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,7,5,8,2,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,5,8,3,4,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,3,7,1,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,8,3,1,4,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,3,6,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,1,3,6,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,1,4,3,6,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,4,1,3,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,5,3,8,1,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,1,3,6,2,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,2,6,5,1,7,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,3,5,7,2,1,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,6,8,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,6,2,5,8,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,2,4,6,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,1,6,8,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,2,3,6,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,8,6,5,7,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,7,2,6,5,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,6,4,2,5,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,3,4,8,2,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,5,1,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,3,7,6,8,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,3,7,8,2,4,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,3,7,8,5,2,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,6,7,5,8,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,4,7,8,5,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,6,7,8,1,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,5,6,1,7,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,4,8,5,1,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,3,1,7,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,8,3,1,7,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,8,2,7,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,1,4,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,3,7,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,4,2,5,3,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,3,1,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,7,6,3,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,7,6,3,1,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,3,1,7,5,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,1,8,7,5,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,3,1,7,5,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,7,6,3,1,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,3,1,8,4,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,5,7,6,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,2,5,7,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,2,4,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,4,6,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,8,6,3,7,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,5,2,6,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,6,4,7,5,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,6,3,1,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,7,4,1,8,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,8,7,4,1,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,4,1,5,2,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,1,5,2,8,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,3,1,4,2,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,8,6,3,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,5,2,6,3,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,2,1,3,6,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,2,1,3,8,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,7,6,5,8,2,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,4,7,5,2,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,7,5,2,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,5,2,1,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,2,5,7,6,4,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,2,6,4,7,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,7,4,1,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,7,4,1,5,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,4,1,8,6,3,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,7,5,2,1,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,3,5,2,7,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,7,4,2,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,6,8,1,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,2,7,1,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,7,2,8,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,3,8,1,5,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,8,5,2,4,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,3,1,7,2,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,1,2,4,3,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,4,3,5,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,4,1,3,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,1,3,6,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,8,5,6,3,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,1,7,6,3,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,6,8,5,3,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,7,5,6,4,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,6,4,5,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,8,7,6,5,3,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,8,7,1,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,4,2,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,3,8,1,6,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,8,4,1,7,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,7,1,2,8,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,8,2,7,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,7,1,2,8,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,8,5,4,3,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,6,7,8,4,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,6,7,3,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,7,1,3,6,8,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,3,6,7,4,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,4,8,2,7,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,6,7,5,3,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,2,4,6,5,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,2,5,4,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,4,6,3,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,4,2,7,8,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,4,3,7,8,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,4,3,7,1,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,2,3,1,8,6,4,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,3,8,1,6,5,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,8,4,7,6,2,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,7,1,6,5,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,6,4,8,3,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,7,5,8,2,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,7,4,8,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,1,5,2,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,7,1,6,2,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,2,6,3,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,5,2,3,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,4,1,6,5,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,8,4,3,1,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,4,7,6,3,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,3,2,5,7,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,5,3,4,7,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,4,1,5,3,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,3,5,1,4,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,2,4,3,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,7,5,8,6,1,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,4,3,8,6,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,7,8,3,5,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,5,3,2,1,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,8,3,2,7,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,7,3,8,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,6,5,8,7,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,2,7,3,6,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,2,8,3,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,3,4,8,7,2,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,3,7,4,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,1,2,3,4,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,8,2,4,5,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,2,7,4,6,5,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,6,2,3,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,2,3,5,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,7,2,3,5,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,7,2,4,5,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,2,3,4,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,1,2,3,4,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,2,3,5,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,7,4,6,3,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,6,3,7,8,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,7,1,8,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,7,1,8,4,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,3,1,4,2,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,1,6,7,3,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,3,1,7,4,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,6,8,1,7,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,3,1,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,1,2,3,5,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,1,6,7,8,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,7,8,9,2,3,4,5] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[6,7,8,9,10,1,2,3,4,5,11] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[5,6,7,1,8,2,3,4,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[4,6,7,8,1,2,3,5,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,6,7,8,2,9,3,4,5] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,5,7,8,9,2,3,4,6] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,7,8,9,10,11,2,3,4,5,6] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[8,2,6,3,5,4,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,1,5,2,4,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,2,6,5,4,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,2,5,7,4,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,4,1,5,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,1,8,7,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,5,7,6,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,8,2,7,6,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,3,5,7,6,4,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,8,2,4,7,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,3,7,4,6,5,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,7,1,3,6,5,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,1,7,2,6,4,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,7,5,2,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,4,3,7,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,7,3,5,1,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,7,4,3,1,5,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,1,5,7,6,4,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,8,2,7,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,4,1,7,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,8,3,7,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,2,1,7,6,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,8,7,2,6,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,5,4,1,7,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,3,7,6,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,1,3,7,6,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,8,1,7,6,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,6,3,2,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,7,2,4,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,3,2,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,6,4,2,3,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,4,8,2,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,1,2,6,8,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,5,4,2,1,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,8,5,6,1,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,4,3,6,8,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,5,2,3,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,6,5,1,3,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,6,2,5,8,4,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,6,5,8,4,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,6,5,8,1,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,6,1,8,4,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,6,3,4,5,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,2,5,7,8,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,2,7,8,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,3,1,2,6,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,6,1,5,8,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,6,8,5,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,6,4,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,8,6,4,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,1,5,4,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,4,6,2,8,3,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,5,1,4,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,4,3,8,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,8,2,6,7,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,8,6,4,7,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,6,1,5,3,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,5,2,3,8,1,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,2,3,8,4,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,3,1,4,2,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,1,6,2,8,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,7,8,3,4,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,4,6,8,10,9,7,5,3] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[2,1,7,5,8,6,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,8,4,6,5,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,6,4,1,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,4,5,1,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,5,1,7,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,4,1,3,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,8,2,4,3,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,4,8,2,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,3,1,6,7,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,2,6,5,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,2,4,8,7,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,3,2,6,8,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,4,6,8,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,7,2,5,8,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,8,3,7,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,8,3,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,5,6,3,4,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,1,3,5,4,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,6,3,5,4,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,7,6,3,5,8,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,8,7,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,7,6,8,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,6,7,5,1,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,5,8,6,3,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,8,3,2,5,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,1,5,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,7,6,2,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,5,8,3,2,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,2,4,8,5,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,5,4,8,3,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,5,4,8,1,6,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,1,3,6,8,5,7,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[7,2,3,8,6,1,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,8,4,1,2,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,3,7,1,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,8,4,1,6,3,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,8,7,2,4,6,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,1,3,8,7,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,8,5,3,7,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,5,1,7,4,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,7,4,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,8,5,2,1,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,4,7,3,1,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,6,5,1,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,6,5,1,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,2,6,1,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,2,6,1,3,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,2,6,1,4,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,7,5,6,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,7,2,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,5,1,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,2,5,4,3,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,7,4,3,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,4,6,8,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,4,2,7,3,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,8,3,5,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,2,4,8,6,1,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,3,2,8,1,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,2,4,3,8,1,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,8,4,3,1,6,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,7,2,4,6,10,1,3,5,9] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[6,5,2,4,8,10,1,3,7,9] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,9,2,8,5,7,4,6,1,3] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[3,6,2,5,4,8,10,1,7,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,5,8,2,4,7,6,10,1,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,9,3,5,8,2,4,7,6,1] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,7,3,6,2,5,4,10,1,9] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[3,6,10,9,8,2,5,7,4,1] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[10,9,8,7,3,6,2,5,4,1] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[5,4,3,7,10,2,6,9,8,1] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[4,6,10,3,5,9,8,7,2,1] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[10,9,4,8,3,7,6,5,2,1] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[6,10,5,9,2,4,8,12,1,3,7,11] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[6,8,12,5,7,11,10,9,2,4,1,3] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,8,12,3,7,11,2,6,10,1,5,9] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,5,8,2,4,7,6,10,12,1,9,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[10,9,3,5,8,2,4,7,6,12,1,11] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[3,2,12,6,8,11,10,5,7,9,4,1] => [3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => 5

[10,9,8,7,3,6,2,5,4,12,1,11] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[12,11,5,4,3,8,10,2,7,9,6,1] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[12,11,4,6,10,3,5,9,8,7,2,1] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[10,9,4,8,3,7,6,5,2,12,1,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[8,7,6,5,4,3,2,10,12,1,9,11] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[7,6,5,4,3,9,12,2,8,11,10,1] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[7,6,5,12,4,11,3,10,2,9,8,1] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,8,4,7,6,12,3,11,10,9,2,1] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,2,8,1,5,7,6,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,7,2,6,3,4,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,5,7,2,8,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,3,8,2,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,6,4,3,5,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,8,7,5,3,1,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,6,3,1,4,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,3,2,4,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,8,7,3,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,7,8,5,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,1,6,5,7,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,7,3,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,5,3,2,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,4,3,7,8,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,3,1,6,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,8,1,4,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,8,7,5,4,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,3,4,1,6,5,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,7,3,4,2,6,5,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,5,2,3,7,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,5,2,3,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,7,5,2,8,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,2,3,7,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,4,2,5,7,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,5,2,4,7,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,6,2,8,7,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,8,7,5,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,2,8,3,5,7,6,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,8,1,5,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,8,1,5,7,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,1,4,5,7,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,4,5,1,6,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,6,3,1,2,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,8,4,6,2,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,6,5,3,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,1,4,2,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,4,8,1,2,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,1,2,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,8,7,2,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,7,2,5,8,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,6,5,8,2,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,8,5,7,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,2,6,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,5,2,7,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,3,8,7,2,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,7,8,4,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,8,6,2,5,7,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,6,8,5,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,2,8,4,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,5,8,7,6,2,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,8,1,5,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,4,1,7,2,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,5,3,8,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,5,7,8,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,4,1,6,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,2,7,6,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,2,8,4,5,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,4,6,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,2,8,6,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,7,3,6,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,2,3,4,8,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,5,4,2,8,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,4,3,1,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,7,1,2,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,3,1,8,5,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,8,7,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,3,7,6,1,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,7,8,6,1,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,8,7,6,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,7,8,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,7,4,6,1,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,7,3,1,5,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,3,7,5,6,4,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,6,5,7,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,3,7,4,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,3,4,2,7,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,6,7,2,5,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,6,7,8,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,7,6,8,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,6,7,2,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,7,3,6,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,4,7,8,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,6,4,8,2,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,4,7,3,5,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,2,7,3,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,2,8,3,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,6,1,7,2,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,1,6,3,8,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,6,3,7,1,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,2,8,5,4,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,1,5,2,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,4,1,5,2,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,4,3,8,1,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,4,2,7,1,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,5,4,1,2,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,5,1,3,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,3,5,1,2,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,2,1,6,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,4,6,1,3,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,5,6,4,1,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,1,2,5,4,6,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,2,6,5,4,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,5,3,2,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,6,5,4,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,1,7,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,3,2,8,5,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,3,8,7,4,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,6,8,7,4,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,5,4,1,2,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,8,4,5,1,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,3,1,4,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,1,3,2,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,3,4,2,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,7,3,8,5,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,1,2,4,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,3,1,2,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,3,4,1,8,6,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,7,4,3,1,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,1,3,4,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,3,7,4,1,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,2,8,6,5,1,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,7,5,1,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,8,3,7,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,7,8,4,3,6,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,1,3,5,6,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,7,8,4,2,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,7,8,2,4,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,2,4,3,1,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,4,2,3,1,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,4,6,7,1,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,3,2,6,4,8,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,2,5,3,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,1,4,3,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,3,5,4,8,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,3,6,4,7,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,2,8,5,7,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,1,3,2,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,3,8,4,7,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,4,7,3,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,3,8,1,5,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,7,3,5,2,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,7,3,5,2,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,1,2,6,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,7,4,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,5,3,1,2,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,7,3,1,5,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,5,4,1,3,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,7,6,5,1,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,4,7,2,1,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,8,6,4,2,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,4,6,1,2,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,6,5,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,7,5,1,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,2,1,8,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,6,4,5,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,2,6,5,1,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,8,2,4,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,2,1,7,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,1,7,6,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,6,4,1,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,5,8,2,4,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,7,4,3,8,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,5,4,3,8,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,4,5,6,8,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,2,3,4,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,8,6,2,3,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,7,2,3,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,2,7,6,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,2,3,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,2,3,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,8,6,4,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,8,6,3,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,8,4,6,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,4,6,1,3,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,6,8,5,3,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,8,1,7,6,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,8,1,5,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,6,8,5,2,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,8,5,4,2,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,4,1,8,2,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,6,4,1,5,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,6,5,1,3,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,3,1,8,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,6,4,8,2,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,5,4,1,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,3,8,7,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,3,8,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,3,2,6,1,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,4,1,8,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,6,4,5,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,5,3,4,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,6,7,8,9,4,2,1] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[7,8,4,1,6,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,5,7,3,4,6,9,8] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,2,5,6,3,7,4,9,8] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[5,2,4,7,6,8,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,6,3,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,1,8,7,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,2,7,4,6,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,6,2,3,8,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,7,1,3,2,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,3,8,7,2,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,5,2,4,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,5,2,4,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,5,1,4,7,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,1,9,4,5,6,7,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,8,1,9,2,3,4,5,7] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => 5

[7,10,1,2,3,4,5,6,8,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,8,1,2,4,5,9,6,7] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[1,4,5,8,6,3,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,8,3,6,1,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,6,3,1,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,1,6,7,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,1,2,3,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,7,5,1,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,8,1,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,3,7,1,4,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,2,1,8,6,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[9,8,7,5,6,4,3,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[2,1,9,8,6,7,5,4,3] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[11,10,9,8,7,6,5,4,3,2,1] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[10,9,8,7,5,6,4,3,2,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[9,8,7,5,4,6,3,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[9,8,7,4,6,5,3,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[2,1,9,8,6,5,7,4,3] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[2,1,9,8,5,7,6,4,3] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[2,1,10,9,8,6,7,5,4,3] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[2,1,11,10,9,8,7,6,5,4,3] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[1,8,7,6,5,4,3,2,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[1,9,8,7,6,5,4,3,2,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[2,1,8,7,6,5,4,3,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[2,8,9,7,6,5,4,3,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[6,5,8,3,7,2,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,3,6,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,4,3,2,6,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,4,3,2,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,8,3,2,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,4,3,2,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,6,7,3,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,6,1,3,2,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,4,3,2,5,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,6,1,2,7,8,9,3] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[6,4,2,3,5,1,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,3,6,1,4,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,2,3,7,4,8,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,3,2,5,4,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,3,4,5,8,1,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[7,2,8,1,5,3,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,8,6,4,7,2,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,8,6,4,5,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,2,5,7,3,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,4,7,8,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,5,1,4,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,5,1,3,6,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,7,8,5,2,6,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,2,7,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,7,1,3,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,5,2,3,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,2,3,7,8,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,2,3,6,7,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,2,8,4,5,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,1,8,4,6,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,7,5,8,1,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,2,7,8,3,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,1,3,8,2,5,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,8,7,5,3,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,4,8,6,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,6,8,2,7,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,7,4,8,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,2,3,4,5,9,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,8,9,1,3,4,5,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,8,9,10,1,3,4,5,6,7] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[7,1,8,2,9,3,4,5,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[7,1,8,2,3,9,4,5,6] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[6,1,7,2,8,3,4,9,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[4,1,5,2,7,3,8,6,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[4,1,5,2,6,3,8,7,10,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[5,1,3,7,4,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,3,4,7,8,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,7,8,3,4,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,4,8,3,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,2,3,4,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,4,5,8,1,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,8,1,4,5,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,1,3,7,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,7,8,5,3,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,5,8,2,1,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,5,7,3,1,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,7,5,1,3,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,8,4,1,5,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,2,7,5,8,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,8,2,7,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,4,3,8,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,3,6,2,4,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,5,8,3,6,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,7,8,4,5,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,8,7,5,4,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,8,4,3,7,1,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,3,6,8,7,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,2,6,8,4,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,8,7,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,8,2,7,6,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,5,1,3,7,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,7,5,1,8,4,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,1,5,6,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,5,8,6,7,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,6,5,3,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,1,4,5,6,8,9,7] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[1,6,2,5,4,8,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,5,8,2,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,3,2,1,8,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,7,3,1,4,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,2,6,7,4,3,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,5,8,1,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,5,7,1,4,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,7,6,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,6,2,1,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,5,2,7,4,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,3,7,6,5,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,4,2,7,5,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,5,2,7,4,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,2,4,7,3,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,3,2,7,6,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,1,5,4,3,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,5,8,3,1,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,8,3,2,4,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,1,8,6,3,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,1,8,5,3,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,7,2,5,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,8,7,2,5,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,2,7,6,1,4,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,7,6,1,4,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,8,5,2,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,6,7,4,1,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,3,7,6,4,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,1,7,2,4,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,7,1,4,2,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,1,8,3,7,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,1,5,4,2,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,3,6,8,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,5,7,8,4,6,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,1,2,7,5,4,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,7,5,2,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,4,1,8,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,6,5,2,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,3,4,7,8,2,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,1,5,7,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,6,7,8,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,1,5,3,7,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,5,4,6,3,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,1,6,7,5,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,4,1,8,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,4,3,7,1,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,7,5,8,4,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,5,1,3,7,8,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,2,3,1,7,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,4,3,7,8,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,3,1,5,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,4,6,1,3,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,3,7,8,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,2,4,3,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,6,5,7,2,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,4,2,6,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,6,5,4,3,2,9,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[9,7,6,5,4,3,1,2,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,3,8,4,7,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,8,6,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,1,7,5,2,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,8,5,1,7,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,2,4,6,3,7,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,3,8,2,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,6,7,8,9,2,1,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[7,8,9,2,1,3,4,5,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,9,2,1,3,4,5,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[1,4,6,2,7,5,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,1,5,4,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,8,5,2,6,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,3,2,6,8,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,8,6,1,4,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,1,6,5,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,8,2,6,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,3,8,6,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,3,7,6,5,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,8,6,1,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,1,7,8,2,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,8,7,1,5,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,4,7,1,5,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,6,2,1,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,4,8,3,2,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,4,8,2,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,6,1,7,3,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,2,6,1,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,4,6,8,3,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,1,2,4,8,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,1,3,4,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,2,6,3,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,8,3,1,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,3,1,8,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,7,2,8,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,2,7,4,3,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,2,6,3,8,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,2,7,3,8,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,2,7,3,5,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,4,3,2,1,8,6,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,6,4,2,1,9,7,5,3] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[7,4,3,2,1,8,5,9,6] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[7,5,3,1,8,6,4,2,9] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[7,4,2,1,8,5,3,9,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,3,2,1,7,4,8,5,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[7,4,1,8,5,2,9,6,3] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[6,3,1,7,4,2,8,5,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[5,2,1,6,3,7,4,8,9] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[4,1,5,2,6,3,7,8,9] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[8,5,4,3,2,1,9,6,10,7] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[8,5,3,2,1,9,6,4,10,7] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[7,4,3,2,1,8,5,9,6,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[8,5,2,1,9,6,3,10,7,4] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[7,4,2,1,8,5,3,9,6,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[6,3,2,1,7,4,8,5,9,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[7,4,1,8,5,2,9,6,3,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[6,3,1,7,4,2,8,5,9,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[3,2,7,4,8,6,1,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,5,4,8,6,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,3,6,5,2,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,5,1,8,2,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,2,1,8,7,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,3,1,8,7,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,8,1,7,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,8,1,7,5,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,6,4,2,8,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,4,1,5,8,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,1,4,3,7,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,1,5,3,8,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,6,4,8,3,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,3,6,1,7,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,1,2,7,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,2,5,4,7,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,7,3,2,4,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,4,3,2,7,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,6,5,4,3,1,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,7,6,4,5,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,3,5,4,2,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,7,2,1,8,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,1,8,2,5,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,6,2,7,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,1,5,3,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,6,7,8,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,8,2,3,7,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,1,7,4,5,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,3,7,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,8,4,6,2,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,1,5,7,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,2,5,4,7,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,6,2,5,1,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,8,6,2,1,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,8,6,1,2,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,5,2,7,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,8,5,4,1,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,2,3,5,4,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,2,3,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,5,1,7,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,5,1,7,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,5,8,1,7,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,3,5,8,6,7,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,7,4,8,5,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,1,3,6,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,3,1,6,5,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,1,4,6,5,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,6,1,4,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,7,3,8,5,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,8,3,1,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,8,2,5,3,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,8,7,3,4,6,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,8,1,5,7,2,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,4,8,6,1,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,3,7,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,1,3,7,5,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,1,3,8,6,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,6,8,5,3,4,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,7,5,3,8,1,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,5,7,3,1,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,2,4,7,1,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,8,6,2,4,3,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,8,6,2,4,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,6,3,8,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,7,5,3,1,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,1,6,5,3,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,3,2,1,4,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,1,7,4,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,4,8,7,2,1,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,8,4,3,6,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,2,5,6,1,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,7,8,2,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,6,4,3,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,3,5,6,4,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,8,3,2,5,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,2,5,6,8,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,8,4,5,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[10,3,8,5,6,7,1,9,2,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,3,4,7,6,1,8,9,2,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,7,6,1,2,4,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,6,1,3,5,7,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,4,3,8,2,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,3,4,8,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,7,5,2,8,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,4,3,7,1,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,4,6,7,1,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,8,4,7,1,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,3,8,2,4,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,1,4,7,2,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,4,7,8,2,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,3,6,7,8,1,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,7,8,5,6,2,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,1,7,4,6,2,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,4,6,2,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,5,4,2,8,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,4,3,1,5,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,4,5,1,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,1,7,5,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,5,7,6,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,1,8,5,7,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,4,2,3,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,8,7,4,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,1,2,4,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,5,7,6,2,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,1,8,7,6,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,4,8,7,2,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,2,6,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,2,5,7,4,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,2,1,7,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,7,5,6,4,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,8,5,4,1,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,1,8,2,7,5,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,4,7,3,6,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,2,1,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,4,7,6,5,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,1,3,6,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,3,1,9,8,7,6,5] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[3,2,1,9,8,6,7,5,4] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[2,3,4,7,6,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,1,2,5,6,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,1,2,5,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,5,2,6,7,1,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,5,4,2,7,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,6,4,7,3,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,3,2,4,8,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,4,6,1,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,2,3,4,6,8,1,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,6,1,3,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,5,7,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,1,6,8,3,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,8,6,1,2,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,6,5,2,7,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,2,5,7,4,1,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,4,5,6,8,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,4,7,1,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,4,3,2,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,6,1,4,2,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,2,1,4,3,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,4,8,1,5,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,8,4,2,5,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,2,5,8,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,5,8,3,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,8,5,6,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,4,8,1,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,3,1,5,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,5,8,3,7,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,3,7,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,5,3,7,2,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,5,6,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,4,1,3,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,3,4,1,5,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,1,8,2,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,3,8,1,5,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,8,7,3,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,4,8,6,3,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,8,2,3,1,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,2,1,8,3,5,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,5,1,4,8,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,4,8,1,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,5,8,7,1,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,3,5,8,2,1,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,7,2,3,1,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,1,5,4,2,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,4,7,2,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,4,3,7,1,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,7,2,4,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,2,8,4,3,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,4,3,6,8,2,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,2,7,8,3,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,3,4,8,2,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,6,4,1,7,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,2,4,8,3,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,5,2,4,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,2,3,8,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,3,2,8,4,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,2,8,4,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,3,2,6,4,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,2,6,7,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,2,6,3,7,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,2,3,8,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,6,2,8,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,2,8,3,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,6,3,2,5,8,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,8,5,4,7,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,3,6,8,7,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,3,8,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,6,8,5,7,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,6,8,1,7,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,5,8,3,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,8,7,3,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,6,8,7,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,6,5,1,8,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,6,5,8,3,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,6,8,5,3,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,6,8,7,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,7,5,2,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,3,5,8,2,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,1,7,8,5,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,3,2,7,8,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,3,7,1,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,2,1,7,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,3,8,1,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,3,8,7,1,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,8,2,7,6,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,7,6,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,2,6,5,4,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,7,6,2,5,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,3,7,2,1,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,3,7,1,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,7,6,4,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,2,1,7,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,6,2,7,3,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,2,8,6,3,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,2,3,8,5,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,2,3,8,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,3,8,2,7,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,8,2,5,6,3,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,7,3,2,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,7,3,6,8,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,2,3,6,8,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,3,5,8,1,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,4,8,1,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,5,7,4,1,3,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,3,1,8,5,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,3,5,8,2,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,4,8,6,3,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,5,2,1,8,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,3,6,2,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,1,2,4,8,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,5,2,3,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,6,5,3,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,6,5,4,1,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,4,5,1,3,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,3,1,7,8,5,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,7,1,4,2,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,2,5,3,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,8,5,1,4,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,7,3,1,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,3,8,2,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,4,1,8,2,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,4,1,7,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,2,1,8,4,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,7,8,2,4,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,2,5,4,3,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,3,6,8,4,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,8,2,7,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,6,3,5,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,3,6,1,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,3,8,4,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,8,4,7,5,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,7,3,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,7,3,8,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,8,5,3,2,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,3,8,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,2,7,8,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,6,1,4,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,7,8,6,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,8,6,5,2,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,6,3,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,7,5,4,1,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,6,7,5,3,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,4,3,1,5,2,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,5,6,4,3,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,5,3,1,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,6,4,3,1,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,8,6,5,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,7,3,8,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,1,5,8,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,5,8,3,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,2,6,5,3,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,4,8,2,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,8,1,6,5,2,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,4,8,5,2,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,8,4,1,5,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,4,5,1,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,3,5,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,8,5,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,8,5,7,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,4,5,8,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,7,2,6,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,7,5,8,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,6,2,1,5,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,6,1,3,7,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,2,7,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,1,4,6,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,8,4,2,6,5,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,2,8,7,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,1,4,3,5,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,7,1,8,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,1,8,7,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,5,7,2,8,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,1,4,7,2,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,3,2,7,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,8,3,2,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,1,2,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,8,4,3,7,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,5,7,1,8,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,3,1,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,2,1,3,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,2,8,1,3,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,3,4,6,8,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,4,7,1,2,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,7,1,6,8,3,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,7,6,8,1,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,8,3,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,3,1,2,8,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,8,4,1,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,7,8,4,1,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,2,5,1,3,7,8,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,7,8,5,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,3,7,8,5,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,1,3,2,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,3,2,4,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,7,8,5,4,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,8,1,2,6,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,6,7,8,2,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,4,1,3,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,5,2,6,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,8,5,6,2,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,8,4,5,1,6,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,6,4,3,2,7,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,5,2,3,6,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,5,2,3,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,1,6,3,7,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,5,3,8,2,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,2,6,8,3,7,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,6,3,4,1,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,7,8,5,1,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,3,7,4,2,5,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,8,4,3,5,7,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,8,7,4,1,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,1,7,4,6,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,2,6,7,1,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,8,6,7,4,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,6,2,7,3,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,6,2,8,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,4,7,6,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,7,8,6,3,2,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,1,6,5,2,7,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,1,6,7,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,7,3,4,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,3,6,7,4,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,7,3,2,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,3,7,2,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,1,6,7,2,4,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,2,4,8,3,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,7,6,5,2,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,5,6,8,2,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,1,5,2,4,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,6,3,5,4,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,7,6,4,5,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,7,4,6,5,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,7,5,6,8,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,5,3,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,4,6,2,5,3,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,8,2,5,4,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,6,8,2,7,5,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,4,3,2,6,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,7,2,6,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,7,6,2,8,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,6,2,8,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,3,2,7,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,8,6,5,2,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,8,2,6,5,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,6,3,8,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,4,3,8,7,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,3,8,7,2,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,8,6,2,4,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,8,5,4,2,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,8,7,5,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,6,5,4,3,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,1,3,4,6,5,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,1,4,6,5,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,7,5,2,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,4,2,6,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,7,1,5,2,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,1,5,2,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,8,4,1,3,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,7,5,4,1,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,4,1,5,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,1,5,2,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,5,3,4,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,5,3,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,5,1,3,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,1,3,6,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,1,5,3,6,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,2,5,3,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,8,1,5,3,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,4,8,2,6,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,8,2,6,3,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,3,1,6,4,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,3,2,7,5,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,6,3,4,1,8,5,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,3,1,6,2,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,6,4,2,5,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,2,4,6,5,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,7,5,4,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,6,4,2,9,7,5,3] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[8,6,2,5,7,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,3,6,7,5,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,7,6,4,5,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,8,6,4,5,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,2,5,4,6,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,7,5,8,1,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,5,8,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,7,3,8,1,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,2,7,4,8,1,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,5,1,4,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,1,4,3,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,2,7,6,1,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,2,3,1,5,8,6,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,6,5,4,3,2,1,7,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[9,7,6,5,4,3,2,1,8,10] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,4,8,7,5,3,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,7,5,3,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,1,4,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,1,2,4,3,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,5,3,1,2,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,6,8,7,5,3,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,7,5,3,1,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,5,6,3,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,4,6,5,1,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,4,8,7,3,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,4,1,2,6,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,3,1,6,5,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,3,2,6,5,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,3,4,6,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,7,3,6,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,7,1,6,5,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,1,2,6,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,8,7,3,4,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,5,1,2,4,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,7,1,4,3,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,5,6,3,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,8,7,3,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,3,1,4,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,3,1,8,7,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,1,2,6,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,7,5,3,6,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,7,5,1,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,5,6,1,2,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,7,1,2,4,6,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,2,4,3,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,7,1,2,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,3,1,2,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,3,6,4,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,2,6,4,5,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,4,2,8,3,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,6,1,5,2,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,6,4,3,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,2,8,4,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,3,7,4,2,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,8,2,1,3,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,3,5,7,2,4,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,4,7,6,8,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,4,7,8,5,3,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,6,1,7,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,3,8,6,5,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,2,8,6,5,4,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,7,1,8,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,9,8,7,6,5,4,2] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,5,8,4,3,7,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,3,5,2,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,4,5,6,3,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,4,1,6,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,1,6,3,4,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,5,1,4,8,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,1,3,8,4,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,7,2,4,1,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,7,2,1,4,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,7,5,1,2,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,7,6,1,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,7,2,1,5,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,4,1,7,5,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,3,7,1,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,2,6,1,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,7,3,1,5,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,5,1,2,6,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,4,1,2,7,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,6,3,8,4,2,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,3,4,6,1,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,7,5,3,1,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,4,8,3,2,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,4,2,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,8,5,2,4,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,5,1,4,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,2,1,6,8,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,8,6,5,1,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,6,1,4,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,8,6,2,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,3,1,2,5,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,3,1,2,4,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,5,6,2,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,1,2,8,3,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,3,2,8,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,6,3,2,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,3,7,2,8,4,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,6,2,8,5,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,6,5,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,4,7,6,8,3,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,3,7,1,8,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,6,8,4,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,8,3,1,6,5,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,6,8,5,4,2,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,5,8,4,2,1,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,8,6,5,4,2,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,8,7,4,5,1,3,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,6,4,2,5,1,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,8,6,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,1,2,3,8,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,8,4,6,1,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,5,8,2,3,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,6,2,1,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,6,4,5,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,3,8,7,5,4,6,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,4,9,8,7,6,5,3] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,3,5,7,9,8,6,4,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[1,3,5,7,10,9,8,6,4,2] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[1,3,10,9,8,7,6,5,4,2] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,1,5,7,3,2,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,1,7,2,8,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,1,6,2,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,1,3,4,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,2,7,6,3,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,2,5,6,1,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,1,6,8,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,2,8,7,1,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,3,1,7,6,5,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,8,7,1,6,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,7,3,1,6,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,8,2,1,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,7,2,6,5,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,1,8,6,5,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,2,8,1,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,4,2,1,7,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,4,7,1,6,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,8,3,1,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,7,4,2,5,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,7,5,8,1,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,7,5,8,3,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,5,7,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,1,6,8,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,5,3,6,4,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,5,8,6,3,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,5,6,8,3,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,5,6,3,8,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,2,8,3,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,3,2,4,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,6,1,8,3,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,7,2,8,4,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,8,6,2,7,4,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,7,8,5,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,4,6,7,8,3,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,6,2,8,5,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,1,7,2,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,1,4,8,2,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,6,1,3,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,1,4,2,8,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,6,4,8,3,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,4,5,1,3,8,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,7,8,4,2,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,8,3,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,7,8,2,4,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,5,4,2,7,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,8,2,6,7,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,2,8,3,6,5,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,1,3,4,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,2,5,6,3,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,4,8,6,7,2,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,8,2,5,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,7,8,3,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,7,4,6,2,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,3,8,5,1,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,4,6,3,1,7,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,6,5,1,8,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,6,8,7,3,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,8,3,6,5,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,6,8,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,3,7,2,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,2,8,7,3,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,1,7,6,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,1,8,6,4,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,3,7,6,1,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,7,6,1,5,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,7,5,4,1,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,3,1,8,7,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,6,2,7,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,5,3,4,2,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,2,6,4,3,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,2,6,1,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,6,7,8,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,6,7,8,4,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,4,8,3,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,7,8,3,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,4,8,6,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,3,1,5,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,8,2,7,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,8,6,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,8,6,5,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,4,8,3,6,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,6,8,7,2,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,8,2,5,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,6,4,8,7,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,1,4,5,7,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,4,2,5,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,2,5,4,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,3,6,8,7,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,8,3,5,7,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,2,4,5,7,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,5,2,4,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,4,1,3,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,6,4,1,3,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,1,4,6,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,1,4,3,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,7,4,1,2,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,7,1,6,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,8,1,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,2,6,4,8,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,7,4,2,8,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,7,4,6,8,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,4,3,8,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,2,6,8,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,6,4,8,5,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,5,8,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,1,7,8,5,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,2,7,1,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,6,1,2,3,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,6,7,3,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,6,2,3,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,7,8,5,4,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,4,8,3,1,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,8,5,6,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,2,1,5,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,4,1,3,6,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,7,5,1,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,6,4,7,3,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,8,6,2,1,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,5,3,1,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,6,3,1,4,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,5,4,8,3,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,7,5,2,1,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,2,8,5,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,6,2,8,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,8,5,6,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,1,2,5,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,4,1,2,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,4,7,2,5,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,8,2,1,5,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,3,2,7,4,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,4,3,7,5,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,6,5,7,1,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,2,3,5,4,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,2,4,3,6,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,7,2,4,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,2,1,5,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,2,1,7,6,5,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,4,1,6,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,1,2,8,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,8,1,3,7,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,4,8,6,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,8,5,3,2,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,1,6,7,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,6,5,4,7,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,6,8,7,3,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,4,6,7,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,1,6,2,5,8,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,4,1,2,6,5,8,7,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[3,4,1,6,2,5,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[3,5,1,6,2,4,8,7,9] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[2,5,1,6,3,4,8,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,5,1,2,6,4,8,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,7,1,4,6,3,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,5,8,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,8,3,4,7,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,1,6,8,3,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,4,8,7,5,2,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,6,4,2,3,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[5,7,3,6,8,4,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,7,4,2,1,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,3,2,5,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,7,6,8,4,3,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,5,6,3,2,8,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,3,2,7,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,8,6,2,3,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,5,7,6,3,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,3,5,7,8,4,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,6,3,2,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,7,6,8,4,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,6,8,4,3,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,6,2,5,3,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,2,4,5,3,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,6,2,4,3,5,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,2,3,5,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,2,7,1,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,6,1,5,3,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,6,1,4,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,1,3,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,6,1,5,4,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,5,4,2,1,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,4,3,1,5,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,6,1,2,5,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,7,3,8,4,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,5,4,1,2,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,7,1,5,3,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,1,3,4,2,8,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,5,6,4,8,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,3,7,8,4,6,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,7,5,8,6,2,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,5,8,4,1,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,7,6,8,1,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,2,7,5,8,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,2,5,7,8,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,2,8,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,4,2,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,2,5,6,1,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,8,2,4,6,1,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,4,8,5,2,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,5,8,1,6,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,8,4,7,3,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,6,8,5,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,8,1,2,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,8,2,3,6,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,3,8,1,7,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,3,8,2,4,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,2,7,5,1,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,5,4,6,3,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,4,6,3,1,7,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,2,5,6,3,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,7,2,8,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,1,8,6,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,4,2,1,3,5,7,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[8,6,2,1,4,3,5,7,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[6,4,2,1,8,3,5,7,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[9,7,4,2,5,1,3,6,8] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[9,7,5,2,3,1,4,6,8] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[6,4,2,1,8,3,5,9,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,9,4,2,5,1,3,6,7] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[2,7,8,3,1,4,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[9,7,4,2,5,1,3,6,8,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[9,7,5,2,3,1,4,6,8,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[1,5,6,7,3,2,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,2,3,4,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,8,3,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,8,4,2,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,4,2,3,8,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,8,4,2,3,5,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,3,7,8,5,4,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,8,3,4,5,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,7,5,2,6,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,7,3,2,5,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,8,1,6,7,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,2,1,3,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,6,5,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,7,6,4,3,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,7,5,3,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,3,2,4,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,6,4,5,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,7,6,3,1,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,2,7,6,4,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,7,6,8,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,3,4,8,5,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,1,2,3,4,8,5,9,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[4,1,2,3,5,8,6,9,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[3,1,2,4,9,5,8,6,7] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[7,10,1,2,3,4,5,9,6,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[6,1,2,3,7,4,8,9,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,1,10,2,3,4,5,9,7,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[5,9,1,2,6,3,4,8,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[5,1,2,3,4,6,9,7,10,8] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,1,9,5,2,3,6,8,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[4,1,2,3,10,5,6,9,7,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,4,1,2,5,6,8,9,7] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[2,3,1,4,9,5,6,8,7] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[3,5,7,4,1,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,4,1,2,5,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,4,3,1,6,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,4,6,1,5,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,5,6,1,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,8,5,7,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,2,3,4,8,6,9,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,1,2,3,9,6,8,5,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[7,3,1,2,5,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,8,4,6,9,5,7] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[8,3,5,7,2,1,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,3,8,5,7,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,9,4,6,8,3,5,7] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[2,1,4,7,6,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,4,5,3,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,2,5,6,7,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,1,6,3,7,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,1,3,6,7,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,6,3,4,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,7,5,4,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,2,1,6,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,8,2,4,7,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,1,6,4,7,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,6,5,7,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,1,4,7,3,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,8,2,7,4,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,2,1,8,4,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,1,6,8,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,2,1,8,3,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,1,7,3,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,4,6,8,3,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,4,7,8,1,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,4,3,2,8,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,4,8,6,1,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,8,6,4,2,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,8,4,7,5,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,7,2,6,8,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,8,5,1,6,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,5,8,1,4,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,7,6,2,8,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,3,2,8,7,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,4,3,8,7,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,6,2,8,7,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,4,1,3,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,1,4,7,6,5,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,1,3,5,8,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,6,7,5,4,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,6,2,8,4,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,3,7,4,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,5,7,3,8,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,2,7,4,1,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,7,8,5,3,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,4,7,1,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,3,4,6,1,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,1,7,4,2,5,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,7,1,5,4,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,3,1,5,7,6,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,3,8,2,7,1,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,4,5,2,7,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,5,2,6,3,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,1,5,2,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,6,8,4,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,5,2,6,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,3,4,7,1,5,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,7,1,6,5,2,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,1,4,5,2,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,7,6,5,8,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,5,6,7,8,9,1,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,7,8,5,4,3,2,1,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[6,5,4,3,7,8,2,1,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[6,5,4,3,2,7,8,1,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[7,8,9,5,4,3,2,1,6] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[6,7,8,9,4,3,2,1,5] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[7,6,5,8,9,4,3,2,1,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[6,5,4,3,7,8,9,1,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[7,6,5,4,3,8,9,2,1,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[6,5,4,3,2,7,8,9,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[3,5,7,6,8,2,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,4,3,7,5,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,5,3,6,4,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,5,3,6,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,6,2,5,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,1,4,6,5,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,8,4,6,5,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,7,3,6,5,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,1,5,8,6,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,8,3,7,4,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,1,4,8,5,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,7,4,8,5,2,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,6,3,7,4,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,6,3,8,4,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,7,4,8,5,1,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,6,3,8,4,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,5,3,8,4,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,4,3,7,5,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,4,3,8,5,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,4,3,8,5,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,4,3,8,6,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,5,3,1,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,4,3,1,7,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,4,3,1,6,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,1,3,6,5,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,7,3,1,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,7,3,1,5,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,1,6,4,7,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,8,4,1,5,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,3,7,4,1,5,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,5,2,4,8,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,2,8,7,4,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,2,8,1,4,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,8,2,7,1,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,3,1,5,2,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,4,2,1,5,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,8,1,5,6,2,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,6,7,1,8,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,7,6,2,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,4,3,8,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,2,7,8,3,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,2,5,8,1,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,8,1,5,7,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,9,5,4,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[5,8,7,6,9,4,3,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[4,8,7,6,5,9,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,8,7,6,5,4,9,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,8,7,6,5,4,3,9,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,6,1,5,4,7,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,6,8,4,1,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,2,8,6,3,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,2,3,7,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,4,8,7,3,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,6,7,4,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,6,8,1,3,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,8,1,6,3,7,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,5,6,2,7,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,2,4,6,7,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,1,8,5,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,2,1,6,4,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,5,2,1,8,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,2,8,1,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,8,3,2,7,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,8,2,3,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,7,6,2,4,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,7,8,3,1,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,8,6,2,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,8,2,6,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,7,4,6,8,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,7,5,6,8,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,7,4,8,1,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,6,4,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,7,1,5,4,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,7,4,5,8,3,6] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[4,6,2,5,1,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,4,6,2,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,7,8,6,2,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,1,7,6,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[10,6,1,2,3,4,9,5,7,8] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,7,1,2,3,4,9,5,6,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[11,10,5,1,2,3,4,6,7,8,9] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[5,11,1,2,10,3,4,6,7,8,9] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[5,11,1,2,3,10,4,6,7,8,9] => [5,3,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [.,[.,[[[[[.,.],.],.],.],.]]] => 3

[4,1,5,6,7,8,9,2,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,4,5,6,7,8,9,10,11,1,3] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[8,5,3,2,4,1,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,5,2,4,3,6,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,5,1,6,3,4,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,3,5,2,1,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,3,2,8,7,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,6,3,7,4,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,2,6,7,1,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,2,5,1,7,6,3,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,2,6,4,3,5,8,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,3,6,2,4,5,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,7,2,1,4,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,4,1,3,2,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,8,2,1,5,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,2,5,4,8,7,1,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,2,4,8,5,1,6,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,6,2,8,5,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,6,3,8,5,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,6,8,1,3,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,8,5,3,2,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,1,8,2,5,6,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,5,8,7,2,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,5,7,4,8,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,1,5,7,8,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,3,1,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,4,2,8,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,8,5,7,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,5,1,3,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,8,4,5,1,3,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,7,1,5,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,5,3,4,6,1,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,6,4,2,5,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,4,3,6,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,2,6,3,4,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,2,6,3,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,6,5,4,2,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,8,5,2,4,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,8,4,3,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,1,3,2,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,3,7,8,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,5,7,6,2,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,6,8,7,2,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,7,1,4,2,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,6,5,4,1,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,1,5,8,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[9,8,7,6,5,4,2,3,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,3,9,8,7,6,5,4,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[6,8,7,1,5,4,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[9,10,1,8,7,6,5,4,3,2] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,7,3,6,8,2,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,2,4,6,3,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,2,8,5,4,3,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,8,2,5,7,1,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,6,2,7,5,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,1,2,4,6,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,8,5,6,4,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,6,5,4,3,2,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,8,1,5,4,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,5,3,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,1,3,7,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,8,7,4,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,5,8,7,6,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,7,6,4,5,8,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,3,2,5,4,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,6,1,8,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,2,7,3,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,4,6,8,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,4,2,1,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,2,7,5,8,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,2,4,8,7,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,2,4,3,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,8,1,5,2,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,3,6,7,2,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,1,2,4,7,6,9,8] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[7,4,8,6,5,1,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,8,6,5,1,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,5,7,2,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,2,7,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,3,2,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,4,6,1,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,3,8,5,1,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,8,2,3,5,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,8,2,3,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,4,1,2,3,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,8,5,1,2,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,3,1,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,8,2,3,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,7,8,2,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,6,3,1,2,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,2,1,3,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,1,3,2,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,1,2,5,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,2,1,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,3,7,2,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,5,4,7,2,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,5,6,7,8,9,2,10,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[1,4,5,6,7,8,3,9,2] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,4,5,6,7,2,1,9,8] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[2,1,5,6,7,8,9,4,3] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[2,4,5,6,7,8,3,1,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[2,4,5,6,7,8,9,10,3,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[1,4,8,6,3,2,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,8,6,2,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,5,3,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,3,2,6,5,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,4,5,3,2,9,1] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[2,9,8,7,5,6,4,3,1] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[3,5,8,7,4,6,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,5,7,3,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,6,8,4,2,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,6,8,4,7,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,8,3,4,1,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,7,6,1,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,7,2,4,1,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,3,5,6,2,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,5,1,7,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,4,6,1,3,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,8,7,3,5,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,4,3,5,2,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,4,3,8,1,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,6,2,1,8,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,6,2,7,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,1,6,8,2,7,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,8,6,7,2,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,1,4,6,5,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,1,2,6,5,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,8,3,7,4,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,5,1,6,3,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,1,3,5,4,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,7,6,4,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,2,7,8,5,4,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,7,6,8,3,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,8,4,3,7,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,4,3,8,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,2,3,8,5,4,1,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,1,5,7,6,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,5,4,1,10,9,6,7,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[3,2,7,6,4,5,1,10,8,9] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[3,2,9,8,7,4,5,6,1,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[3,2,1,10,9,8,4,5,6,7] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[5,4,2,3,7,6,1,10,8,9] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[5,4,2,3,9,8,6,7,1,10] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[5,4,2,3,1,8,6,10,7,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[5,4,2,3,1,10,9,6,7,8] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[7,4,2,6,3,5,1,10,8,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[1,4,2,10,9,8,3,5,6,7] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[7,6,5,2,3,4,9,8,1,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[7,6,5,2,3,4,1,10,8,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[1,10,5,2,7,3,9,4,6,8] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[9,8,7,6,2,3,4,5,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[1,8,7,6,2,3,4,10,5,9] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[1,10,9,8,7,2,3,4,5,6] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[3,2,7,6,4,5,1,12,11,8,9,10] => [3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => 5

[3,2,9,8,7,4,5,6,1,12,10,11] => [3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => 5

[3,2,1,12,11,10,9,4,5,6,7,8] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[5,4,2,3,7,6,1,12,11,8,9,10] => [3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => 5

[5,4,2,3,9,8,6,7,1,12,10,11] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[5,4,2,3,11,10,9,6,7,8,1,12] => [3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => 5

[5,4,2,3,1,12,11,10,6,7,8,9] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[7,4,2,6,3,5,1,10,8,12,9,11] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[7,6,5,2,3,4,9,8,1,12,10,11] => [3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => 5

[7,6,5,2,3,4,11,10,8,9,1,12] => [3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => 5

[7,6,5,2,3,4,1,12,11,8,9,10] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[1,12,5,2,11,8,3,10,4,6,7,9] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[9,8,7,6,2,3,4,5,1,12,10,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[1,12,9,6,2,8,3,4,11,5,7,10] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[11,10,9,8,7,2,3,4,5,6,1,12] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[1,12,11,10,9,8,2,3,4,5,6,7] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[1,4,8,2,3,6,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,4,3,2,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,1,6,8,7,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,5,8,6,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,8,5,4,2,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,6,3,5,7,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,4,2,3,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,5,2,3,4,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,2,4,8,6,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,2,5,8,7,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,2,1,8,4,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,5,2,8,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,3,6,1,8,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,6,8,3,1,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,4,5,3,6,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,4,5,3,2,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,4,7,5,2,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,2,6,7,4,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,6,1,4,3,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,1,3,2,5,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,7,8,1,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,2,7,5,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,4,5,3,6,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,4,1,3,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,3,7,8,1,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,7,8,1,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,3,7,8,1,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,1,6,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,3,7,5,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,4,3,8,5,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,2,7,3,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,2,8,5,3,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,5,8,3,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,2,8,1,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,7,2,1,5,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,5,8,3,6,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,6,8,3,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,6,8,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,5,3,1,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,3,1,7,8,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,3,6,8,4,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,1,7,8,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,8,6,4,1,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,3,4,7,8,5,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,8,7,3,4,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,3,7,8,1,4,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,4,3,2,5,8,1,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,4,3,5,8,1,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,6,4,2,3,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,5,8,6,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,3,6,1,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,8,2,1,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,5,1,4,8,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,5,1,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,3,2,6,8,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,4,8,5,3,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,3,8,4,2,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,6,8,1,3,2,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,6,1,5,8,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,8,2,4,1,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,3,5,7,2,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,2,3,8,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,5,8,2,4,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,7,1,4,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,6,2,8,1,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,7,2,4,3,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,2,4,6,5,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,7,2,6,5,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,8,5,2,3,6,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,7,5,2,8,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,3,7,4,2,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,5,2,7,4,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,8,7,5,3,2,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,5,8,6,3,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,8,7,6,2,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,5,8,7,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,2,4,3,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,5,2,6,3,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,7,4,2,3,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,7,5,4,2,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,2,6,3,4,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,8,6,7,1,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,2,4,6,7,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,8,7,1,4,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,8,6,4,7,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,4,7,2,8,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,3,4,5,2,1,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,4,7,3,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,6,7,2,8,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,8,2,6,7,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,1,4,5,7,6,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,7,5,2,3,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,7,5,4,2,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,5,1,3,7,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,6,2,4,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,8,1,3,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,6,4,7,3,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,1,4,6,5,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,8,6,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,5,8,6,4,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,8,3,4,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,7,4,2,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,5,4,3,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,6,3,7,2,8,1,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[5,4,2,3,6,1,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,7,6,8,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,1,6,4,5,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,1,8,7,5,2,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,8,7,2,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,6,5,8,2,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,7,1,8,5,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,2,1,4,7,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,3,1,8,5,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,1,4,2,3,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,7,8,6,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,1,2,4,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,2,6,4,5,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,3,6,4,5,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,3,6,4,5,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,1,6,2,7,3,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,6,2,5,3,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,6,2,5,3,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,2,7,4,5,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,8,3,7,4,5,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,8,5,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,3,1,2,7,4,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,8,2,5,3,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,7,5,4,1,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,6,2,1,5,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,4,7,2,1,6,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,8,3,5,1,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,7,1,6,5,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,7,1,3,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,7,8,1,3,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,7,1,4,6,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,7,1,6,3,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,7,1,6,5,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,7,1,4,3,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,7,3,1,4,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,2,1,6,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,3,2,8,1,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,5,7,1,8,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,8,5,4,1,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,7,8,1,3,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,5,7,1,4,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,7,1,6,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,7,1,6,8,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,1,4,8,3,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,1,2,5,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,1,4,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,4,2,5,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,1,4,3,2,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,3,7,4,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,5,2,4,3,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,5,7,3,1,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,4,5,3,1,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,5,1,3,2,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,7,4,3,2,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,5,7,3,2,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,4,7,2,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,1,4,7,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,7,1,5,2,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,6,4,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,1,7,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,7,4,3,1,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,4,1,7,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,7,4,5,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,2,5,7,1,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,6,5,7,1,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,7,3,5,6,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,6,3,5,7,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,6,5,2,7,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,2,1,4,3,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,5,3,7,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,2,5,3,4,8,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,7,6,1,8,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,6,1,7,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,5,8,3,6,2,7,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,6,4,7,3,8,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,7,8,3,5,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,4,5,8,1,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,6,2,1,4,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,6,2,4,3,8,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,2,5,7,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,7,8,4,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,1,4,3,7,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,6,5,3,1,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,2,5,1,8,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,8,6,3,5,4,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,1,4,7,2,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,2,5,6,4,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,8,4,6,1,3,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,6,2,5,3,7,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,3,7,6,2,1,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,2,7,6,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,2,7,6,1,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,8,6,5,1,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,3,2,4,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,4,5,7,3,6,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,4,2,1,6,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,2,6,4,5,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,8,5,4,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,5,6,7,4,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,5,3,4,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,3,2,4,1,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,2,3,6,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,2,8,3,4,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,1,8,4,6,5,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,2,3,8,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,1,4,2,5,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,6,4,2,5,3,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,4,1,5,7,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,4,7,2,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,4,1,5,2,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,1,4,6,5,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,7,6,4,5,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,6,4,1,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[9,8,7,6,4,5,3,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[5,6,7,8,9,1,4,3,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[3,2,7,6,4,5,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,3,6,8,4,2,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,8,2,4,3,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,4,7,1,2,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,4,8,1,3,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,7,8,1,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,1,2,8,7,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,1,3,8,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,1,5,3,8,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,2,4,3,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,6,8,3,1,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,1,2,8,6,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,7,6,1,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,7,8,6,4,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,8,7,4,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,3,8,7,4,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,3,8,7,4,5,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,1,7,2,4,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,2,8,7,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,8,7,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,3,1,6,5,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,6,3,7,2,5,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,8,4,2,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,8,3,1,4,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,8,5,7,1,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,8,7,2,5,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,6,7,8,3,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,6,8,3,5,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,3,2,4,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,5,2,3,6,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,5,2,6,3,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,3,7,4,2,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,7,5,2,6,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,4,8,5,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,8,7,5,2,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,7,6,4,2,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,3,2,8,4,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,3,7,5,2,4,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,8,2,6,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,5,2,3,8,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,5,3,8,4,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,1,8,2,6,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,1,4,2,7,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,7,4,5,2,3,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,6,8,7,3,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,2,3,1,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,5,2,8,1,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,2,3,5,8,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,4,6,7,1,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,3,1,7,4,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,1,8,3,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,7,2,8,4,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,4,6,3,8,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,4,1,3,8,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,3,1,8,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,4,2,7,8,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,2,7,8,1,3,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,8,1,4,5,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,3,6,5,8,10,9,7] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,3,6,8,7,5,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,3,8,10,7,9,5,6] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,6,5,3,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,6,5,3,8,10,9,7] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,1,6,8,5,7,3,4,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,8,7,5,10,4,9,3,6] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,6,7,5,10,8,4,9,3] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,1,8,5,10,6,7,9,3,4] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,4,3,1,6,5,8,10,9,7] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,4,3,1,6,8,7,5,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,4,3,1,8,10,7,9,5,6] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,6,3,5,1,2,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,6,3,5,1,2,8,10,9,7] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[6,5,3,8,2,7,1,4,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[8,5,3,7,2,10,4,9,1,6] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[6,5,3,7,2,10,8,4,9,1] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,5,3,8,6,2,7,1,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[8,6,3,5,10,2,7,9,1,4] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,7,3,6,10,1,9,8,2,5] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[6,3,8,4,5,7,1,2,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[8,3,7,4,5,10,2,9,1,6] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[8,5,10,4,7,6,2,9,1,3] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[8,1,6,7,2,5,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,6,5,3,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,4,7,6,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,2,7,6,5,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,8,1,6,7,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,8,4,1,5,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,8,3,5,1,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,7,5,4,1,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,8,7,4,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,3,2,6,8,7,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,2,5,8,7,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,8,7,2,5,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,7,5,2,4,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,4,2,5,8,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,4,3,7,5,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,5,4,7,2,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,3,2,6,8,5,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,3,2,7,4,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,8,5,4,2,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,6,2,4,3,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,4,2,6,5,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,5,8,3,7,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,3,6,4,5,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,4,7,3,2,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,3,7,4,5,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,7,2,3,6,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,1,5,4,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,3,4,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,5,3,4,6,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,6,5,4,3,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,3,6,4,5,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,5,3,6,4,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,7,1,2,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,2,3,4,7,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,5,6,1,8,9,2,7] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[2,4,5,1,6,7,8,9,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,4,1,6,7,8,9,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,4,5,6,1,8,9,10,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,4,5,6,1,2,9,7,8] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => 5

[5,6,1,7,8,9,2,3,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,5,6,1,7,8,9,10,2,3] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[3,5,6,1,7,8,9,10,2,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,1,4,3,6,7,8,9,5] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,3,1,5,6,7,8,9,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,2,5,8,7,4,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,4,1,6,5,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,4,8,5,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,7,3,1,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,8,2,1,7,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,4,3,8,7,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,3,8,7,2,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,3,8,7,2,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,5,8,4,7,1,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,6,5,8,7,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,5,3,6,7,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,5,3,4,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,7,3,5,4,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,2,4,7,5,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,1,5,7,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,2,8,5,3,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,7,2,4,1,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,6,5,1,2,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,3,8,7,6,5,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,2,6,3,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,8,7,6,5,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,7,5,4,8,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,6,3,8,4,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,3,8,4,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,6,2,8,4,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,6,5,4,8,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,5,4,8,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,1,2,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,8,7,2,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[9,7,8,5,4,3,2,1,6] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,6,8,1,4,7,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,8,1,2,7,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,1,6,7,4,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,8,1,6,7,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,2,6,4,7,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,1,6,2,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,1,2,6,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,2,1,6,7,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,4,3,6,5,8,9,10,7] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,4,3,6,7,8,5,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,4,5,6,3,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,4,5,6,3,8,9,10,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[2,3,4,1,6,5,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,3,4,1,6,5,8,9,10,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[2,3,4,1,6,7,8,5,10,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[2,3,4,1,8,7,9,10,5,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,3,4,1,6,7,8,9,10,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,3,5,6,1,2,8,9,10,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,1,4,3,6,7,8,5,10,11,12,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,4,5,6,3,8,7,10,11,12,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,4,5,6,3,8,9,10,7,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,3,4,1,6,5,8,7,10,11,12,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,3,4,1,6,5,8,9,10,7,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,3,4,1,6,7,8,5,10,9,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,3,4,1,6,7,8,5,10,11,12,9] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[4,3,5,6,1,2,10,9,11,12,7,8] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[4,3,5,6,1,2,8,9,10,11,12,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[2,3,4,5,6,1,10,9,11,12,7,8] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[2,3,4,5,6,1,8,9,10,11,12,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[8,7,1,4,2,3,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,4,1,5,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,3,6,7,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,1,3,5,2,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,2,5,4,8,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,1,2,5,7,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,6,2,5,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,7,5,6,4,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,7,5,6,2,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,7,5,6,4,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,7,2,3,4,8,9,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,3,7,8,2,4,5,9,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[7,8,4,5,9,2,3,6,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[7,4,3,8,9,2,5,6,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[7,5,8,3,6,2,4,9,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[7,6,5,4,3,2,8,9,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,6,4,9,3,7,2,5,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,3,7,8,2,4,5,9,10,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,4,3,8,9,2,5,6,10,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[8,5,4,3,9,10,2,6,7,1] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[8,7,6,5,4,3,2,9,10,1] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,6,3,8,4,7,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,1,4,2,7,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,1,4,2,8,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,6,8,3,7,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => 2

[1,4,8,2,6,5,3,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,1,3,6,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,6,8,2,7,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,7,3,4,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,5,7,8,2,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,6,7,2,8,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,7,6,1,8,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,5,8,7,2,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,6,2,8,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,6,5,7,3,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,5,8,6,4,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,5,8,1,2,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,7,8,1,6,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,5,8,3,2,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,5,8,3,6,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,6,8,5,2,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,7,8,5,6,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,4,7,5,1,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,7,5,1,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,4,2,1,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,3,7,1,4,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,3,2,4,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,1,4,6,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,7,1,8,5,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,7,8,1,5,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,1,3,8,5,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,8,2,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,6,8,4,1,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,4,3,2,5,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,4,3,6,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,1,6,3,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,1,3,4,6,2,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,7,6,3,8,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,8,5,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,6,8,4,7,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,2,1,8,7,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,3,8,2,6,5,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,3,1,8,6,2,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,2,1,3,7,4,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,5,8,1,3,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,6,7,2,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,5,2,1,6,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,5,6,2,7,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,5,8,4,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,2,3,6,7,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,1,3,7,6,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,4,8,6,2,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[9,1,2,3,8,5,6,7,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,1,3,7,4,5,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[10,1,2,3,4,9,6,7,8,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,1,5,3,6,4,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,4,8,3,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,5,4,7,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,5,4,7,6,3,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,4,1,5,7,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,6,5,2,8,4,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,1,7,4,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,7,4,3,5,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,5,3,6,1,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,3,2,7,4,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,8,6,3,1,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,8,4,1,2,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,8,5,4,7,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,3,4,2,6,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,5,1,8,7,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,4,7,3,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,3,1,5,7,2,4] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,3,1,4,7,6,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,2,5,4,7,8,3,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,2,6,1,7,8,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,4,6,1,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,5,1,6,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,3,5,4,1,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,6,1,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,1,7,4,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,1,7,6,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,7,6,2,1,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,8,3,1,7,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,1,7,6,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,8,7,2,6,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,7,2,6,4,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,2,5,7,4,3,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,6,3,5,4,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,8,2,1,3,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,7,2,6,1,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,4,7,6,3,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,3,7,6,5,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,4,8,1,7,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,6,5,8,3,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,3,1,4,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,6,5,3,4,8,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,7,8,5,1,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,6,4,8,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,4,8,6,2,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,2,7,6,3,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,3,1,2,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,5,1,2,3,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,1,3,8,6,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,6,7,4,8,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,8,1,6,2,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,8,1,2,7,6,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,1,5,7,3,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,2,4,6,8,3,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,1,4,3,6,7,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,6,8,4,3,1,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,7,4,2,8,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,7,2,3,6,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,6,7,8,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,1,6,4,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,7,6,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,7,6,8,3,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,2,8,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,8,4,3,7,6,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,5,1,8,3,2,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,6,3,1,8,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,1,8,6,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,7,4,8,3,5,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,4,8,5,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,8,1,4,2,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,3,8,1,7,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,1,8,6,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,6,4,1,7,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,1,7,2,8,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,7,8,6,3,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,6,5,7,8,4,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,5,8,2,7,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,8,4,5,1,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,8,7,2,3,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,6,8,5,3,7,4] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,5,8,7,4,1,2,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,8,7,4,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,8,7,2,4,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,8,4,5,7,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[10,1,11,2,3,4,5,6,7,8,9] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[1,9,2,10,3,4,5,6,7,8] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[3,6,1,8,5,7,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,6,3,1,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,2,1,7,5,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,8,5,7,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,4,8,6,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,2,3,6,5,8,7,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,3,4,2,6,5,8,7,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,4,2,3,6,5,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,3,1,4,6,5,8,7,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[3,1,2,4,6,5,8,7,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,3,4,2,6,5,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[8,4,5,2,6,3,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,7,3,1,6,8,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,4,6,8,3,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,4,1,3,7,8,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,5,8,3,7,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,2,1,7,8,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,2,6,7,4,3,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,6,3,4,1,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,9,7,3,4,5,1,2,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,7,9,1,2,3,4,5,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,9,6,3,4,1,7,2,8] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,4,8,2,5,6,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,2,5,8,4,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,2,8,4,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,3,6,4,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,8,7,4,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,1,3,8,2,7,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,7,6,2,8,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,6,7,4,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,4,2,8,7,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,2,7,8,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,6,2,7,8,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,8,6,4,2,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,6,2,3,1,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,1,7,6,8,4,5,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,4,7,2,8,3,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,2,7,8,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,3,1,5,2,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,6,3,1,5,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,7,3,8,5,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,3,1,7,4,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,6,7,8,9,1,2,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[1,7,4,8,6,5,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,4,7,2,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,5,2,6,1,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,4,8,5,2,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,7,1,3,4,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,2,8,6,7,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,8,6,1,4,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,6,8,3,4,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,8,4,7,1,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,8,4,2,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,7,5,4,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,4,3,7,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,8,5,7,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,4,7,1,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,8,7,1,4,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,8,7,1,6,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,8,5,1,4,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,8,3,5,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,7,8,1,3,6,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,8,1,5,4,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,8,1,4,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,7,8,2,4,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,6,8,7,3,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,8,6,7,1,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,8,2,1,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,8,6,3,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,7,8,2,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,8,7,3,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,4,1,7,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,7,4,8,3,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,2,7,5,1,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,6,4,7,2,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,6,5,7,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,6,2,7,3,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,6,5,8,7,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,7,6,8,2,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,7,5,8,3,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,2,7,5,8,4,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,2,8,5,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,2,6,4,8,7,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,7,3,8,6,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,7,6,8,4,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,7,6,8,5,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,1,7,3,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,4,8,2,1,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,8,2,5,4,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,5,8,3,2,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,2,5,3,4,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,6,2,4,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,2,3,5,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,2,6,3,7,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,2,3,7,5,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,5,6,4,3,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,8,4,3,7,5,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,6,3,5,4,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,2,5,6,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,7,5,3,8,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,8,3,7,5,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,5,8,3,7,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,3,8,2,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,5,6,3,7,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,6,4,1,3,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,8,4,3,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,3,2,8,4,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,8,3,1,5,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,1,3,2,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,8,1,6,3,2,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,1,3,8,6,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,6,1,8,7,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,8,6,7,5,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,6,3,1,4,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,8,3,4,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,8,6,4,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,8,6,3,4,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,8,1,4,6,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,7,8,4,2,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,3,5,4,1,2,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,4,1,6,5,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,5,1,3,7,6,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,3,2,6,8,4,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,1,7,5,4,2,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,6,4,7,3,5,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,6,4,3,7,2,5,8] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,7,8,3,2,6,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,5,1,3,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,4,3,7,1,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,1,8,6,5,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,6,5,7,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,1,5,8,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,3,2,5,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,3,6,4,5,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,8,7,3,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,6,3,1,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,2,7,1,3,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,5,7,6,3,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,1,5,4,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,2,6,7,8,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,6,2,4,3,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,2,8,7,4,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,5,4,2,1,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,3,2,6,5,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,4,2,3,8,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,4,2,3,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,3,2,6,5,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,5,1,6,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,6,1,4,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,4,3,5,2,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[10,5,9,4,8,3,7,2,6,1] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,3,5,1,4,7,6,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[3,4,1,5,2,7,6,9,8] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[4,1,2,5,3,7,6,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[6,5,7,1,2,8,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,2,5,3,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,7,2,5,1,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,1,4,3,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,3,8,6,4,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,3,8,7,4,1,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,6,3,1,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,2,8,1,3,5,7,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[4,6,2,7,8,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,8,2,9,1,3,5,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,6,2,7,9,1,3,5,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,4,6,2,1,3,5,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[4,6,8,2,10,1,3,5,7,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,6,7,8,2,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,2,7,1,3,5,8,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[4,6,8,2,9,1,3,5,7,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[6,2,3,7,9,1,4,5,8] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[4,5,6,7,8,2,9,3,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,5,6,7,1,8,2,9,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,5,2,9,6,3,10,7,4,1] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[7,3,8,4,9,5,1,10,6,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[6,1,3,4,2,5,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,3,6,2,4,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,1,3,8,4,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,2,4,3,5,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,7,6,1,8,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,6,1,5,8,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,3,7,8,5,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,5,6,1,8,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,2,8,4,7,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,6,1,3,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,3,7,6,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,2,4,8,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,5,3,2,7,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,7,2,6,5,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,2,7,1,3,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,1,4,7,2,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,8,7,3,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,8,2,3,5,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,1,6,8,4,2,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,5,9,7,8,6,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,6,2,3,7,4,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,6,3,1,8,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,5,1,2,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,7,5,1,2,8,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,6,3,4,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,4,1,5,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,4,1,7,2,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,5,1,3,8,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,1,3,6,7,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,6,2,4,1,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,6,3,8,4,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,6,1,3,7,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,8,2,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,1,2,8,4,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,8,1,6,4,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,8,6,3,4,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,3,8,6,4,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,1,8,6,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,1,5,6,4,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,5,6,4,2,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,1,5,8,6,4,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,3,5,6,4,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,8,5,6,4,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,3,6,5,9,8,10,7] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,3,7,6,8,5,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,5,4,6,3,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,5,4,6,3,9,8,10,7] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,1,6,5,8,7,9,4,10,3] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,1,7,6,8,5,9,4,10,3] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[3,2,4,1,6,5,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[3,2,4,1,6,5,9,8,10,7] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[3,2,4,1,7,6,8,5,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[3,2,7,6,8,5,9,4,10,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,3,6,5,7,2,8,1,10,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[5,4,6,3,7,2,8,1,10,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[5,4,6,3,7,2,9,8,10,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[2,1,4,3,9,8,10,7,11,6,12,5] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,7,6,8,5,9,4,10,3,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,2,4,1,9,8,10,7,11,6,12,5] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[4,3,5,2,6,1,10,9,11,8,12,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[4,3,6,5,9,8,10,7,11,2,12,1] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,4,6,3,7,2,8,1,10,9,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[5,4,6,3,7,2,8,1,11,10,12,9] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[5,4,6,3,8,7,10,9,11,2,12,1] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,4,7,6,8,3,10,9,11,2,12,1] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[8,5,1,6,2,3,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,8,4,1,3,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,7,3,4,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,5,2,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,8,6,4,5,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,5,8,7,6,3,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,8,5,6,3,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,5,8,7,6,2,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,3,7,4,1,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,6,4,2,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,1,4,5,7,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,4,7,2,3,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,8,2,4,6,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,3,6,8,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,1,6,4,2,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,2,1,8,6,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,2,4,1,3,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,3,7,4,6,5,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,2,3,1,7,4,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,7,8,6,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,1,2,6,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,1,8,3,7,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,7,6,3,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,5,1,7,8,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,5,2,3,4,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,8,2,7,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,1,7,5,8,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,6,5,1,7,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,5,3,1,7,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,6,8,1,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,8,6,4,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,8,1,5,2,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,1,6,5,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,1,5,6,8,7,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,2,5,6,8,4,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,6,8,1,2,4,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,1,8,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,5,6,8,4,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,8,2,3,4,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[9,8,7,4,5,6,3,2,1] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[6,5,1,2,4,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,7,2,1,3,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,7,2,8,6,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,3,4,8,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,1,7,8,6,4,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[8,6,7,1,2,5,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,5,6,4,2,8,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,5,1,4,8,2,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,8,1,7,5,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,3,1,7,5,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,7,8,4,2,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,3,1,8,5,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,1,6,3,4,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,8,9,10,2,3,4,5,6,7] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[1,5,6,7,8,9,10,2,3,4] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[4,6,5,3,8,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,3,8,1,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,3,5,2,1,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,1,5,6,4,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,7,5,1,4,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,7,3,4,2,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,6,2,8,1,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,5,7,3,8,2,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,6,8,2,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,5,7,4,2,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,4,3,9,1,2,6,7] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,6,5,4,3,10,1,2,7,8] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[3,8,6,1,4,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,6,3,8,5,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,1,8,4,6,5,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,8,4,6,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,3,5,1,8,6,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,8,5,1,7,4,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,8,6,5,2,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,8,2,6,4,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,2,8,1,7,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,7,6,1,4,5,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,6,2,7,5,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,3,1,2,8,6,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,5,3,1,8,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,2,3,1,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,7,4,1,3,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,4,1,3,2,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,3,2,4,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,2,5,1,6,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,6,2,4,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,3,1,6,7,5,4,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,6,5,7,2,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,2,6,7,4,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,7,2,4,3,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,3,6,4,7,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,5,3,6,7,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,3,4,7,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,5,2,7,1,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,8,5,4,2,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,3,4,7,2,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,8,5,3,4,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,4,3,1,5,2,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,4,5,8,3,2,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,6,8,3,5,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,4,5,3,8,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,5,2,6,8,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,2,7,1,5,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,7,2,4,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,7,2,5,4,3,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,8,3,5,2,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,6,2,3,5,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,8,3,6,5,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,8,4,3,2,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,3,2,8,4,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,5,2,8,4,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,3,7,2,4,6,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,2,8,7,6,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,3,2,5,7,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,2,1,6,5,8,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,2,6,1,5,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,2,7,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,2,5,1,7,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,5,7,2,1,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,8,2,7,4,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,1,7,5,8,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,7,8,1,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,5,1,3,7,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,7,2,6,4,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,2,1,6,5,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,5,2,7,3,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,1,3,7,8,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,6,1,2,4,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,4,8,7,2,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,8,5,7,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,7,5,8,2,3,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,4,7,8,2,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,6,8,7,5,3,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,8,7,5,2,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,1,4,2,3,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,7,4,8,2,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,8,5,1,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,4,3,2,7,9,1] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[9,6,5,4,3,2,7,1,8] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[8,7,6,5,4,3,2,9,1,10] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,3,8,6,7,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,8,1,5,3,4,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,6,1,5,3,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,8,1,7,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,5,4,8,2,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,2,5,4,7,1,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,1,6,5,7,4,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,1,6,4,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,8,6,2,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,8,5,6,1,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,2,5,6,1,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,8,4,2,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,8,4,6,3,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,3,2,1,6,4,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,3,4,6,5,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,3,6,5,2,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,8,6,5,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,8,2,7,5,4,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,7,4,6,3,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,8,6,2,1,4,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,2,8,4,6,5,1,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,7,2,6,5,8,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,8,5,7,4,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,5,2,4,8,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,5,4,8,1,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,5,6,4,7,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,6,2,4,3,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,5,8,1,3,4,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,4,5,1,3,2,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,8,7,5,3,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,5,1,4,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,1,3,4,2,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,3,2,8,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,7,6,8,4,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,7,6,8,4,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,8,5,2,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,5,2,8,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,6,5,7,2,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,5,1,4,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,5,1,7,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,5,2,1,4,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,3,6,1,7,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,5,3,1,2,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,1,6,3,7,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,5,7,1,4,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,5,1,4,7,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,6,5,1,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,7,6,1,2,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,5,7,6,3,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,6,5,2,7,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,5,7,2,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,7,6,2,4,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,5,8,2,4,6,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,8,2,1,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,1,8,2,4,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,1,3,8,2,4,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,8,4,2,3,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,2,1,4,3,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,2,4,1,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,8,4,6,7,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,8,4,6,7,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,4,6,7,2,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,3,6,7,2,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,3,6,7,2,1,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,4,5,3,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,6,2,4,5,3,1,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,6,4,2,3,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,8,1,6,2,4,5,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,6,2,4,1,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,6,2,4,5,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,3,6,2,4,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,6,7,2,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,6,7,2,1,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,6,2,3,7,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,7,2,1,3,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,8,7,3,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,1,6,7,4,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,1,7,8,5,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,5,3,6,4,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,2,7,8,6,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,2,7,8,3,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,3,7,1,4,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,7,1,5,3,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,5,6,4,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,4,2,7,6,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,3,2,7,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,4,8,7,5,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,6,4,5,2,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,3,6,5,4,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,2,3,1,4,8,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,2,7,3,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,6,4,7,5,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,1,5,8,6,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,8,6,4,7,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,5,6,7,9,1,2,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[3,5,6,7,8,9,1,2,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,4,5,6,8,9,10,1,2,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[3,4,5,6,7,8,9,10,1,2,11] => [5,5,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => 3

[3,4,5,6,7,8,1,2,9,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[3,4,5,6,1,2,7,8,9] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[3,4,6,7,8,9,10,11,1,2,5] => [4,4,3] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,[[[.,.],.],.]],.],.] => 3

[7,5,4,3,8,1,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,1,6,2,8,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,4,1,7,8,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,2,5,7,8,4,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,4,1,6,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,5,7,8,4,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,7,4,1,3,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,3,7,4,8,5,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,8,6,3,5,4,2,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,1,8,5,3,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,7,8,1,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,7,8,4,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,2,7,5,3,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,8,3,4,2,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,7,1,4,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,7,8,2,4,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,4,6,1,7,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,2,1,4,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,2,4,8,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,2,4,7,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,5,3,7,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,1,7,3,5,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,2,4,6,8,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,3,7,1,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,2,8,3,1,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,2,4,3,7,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,4,3,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,7,8,4,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,2,4,7,6,5,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,1,8,6,7,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,8,5,1,7,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,3,2,4,7,1,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,7,4,2,5,8,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,4,2,6,3,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,6,5,1,3,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,7,1,4,6,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,2,6,1,4,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,5,7,6,1,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,7,5,2,1,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,2,7,4,6,8,3,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,2,1,6,8,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,8,5,1,6,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,2,1,6,7,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,6,7,4,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,1,4,2,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,5,1,4,2,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,5,1,4,2,6,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,4,8,3,2,7,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,6,7,5,4,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,5,4,3,2,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,9,10,5,6,1,3,4,7,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[8,9,5,6,10,1,3,4,7,2] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,9,5,6,10,1,3,2,4,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,9,5,10,3,6,7,1,2,4] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[8,9,10,1,5,3,6,2,4,7] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[8,9,10,5,1,3,6,2,4,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,9,5,10,3,6,2,4,7,1] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,5,9,10,1,3,6,2,4,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,5,9,10,3,6,2,4,7,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[6,7,2,4,5,1,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,7,8,3,6,1,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,2,8,3,1,4,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,2,5,1,4,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,3,2,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,1,2,4,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,4,5,1,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,8,6,2,7,1,5,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,8,4,2,1,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,7,5,2,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,5,7,6,2,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,8,2,4,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,8,4,1,3,5,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,7,3,2,8,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,1,7,3,8,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,5,1,8,3,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,2,8,3,5,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,8,5,2,1,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,2,7,8,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,9,10,7,2,3,4,5,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,1,9,10,11,2,3,4,5,6,7] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[11,1,10,9,2,3,4,5,6,7,8] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[7,3,4,1,8,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,3,5,8,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,7,8,3,2,5,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,3,2,7,8,4,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[9,1,7,8,6,5,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[5,4,7,3,1,2,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,6,5,7,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,2,6,1,4,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,2,5,6,8,4,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,5,6,2,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,4,1,6,5,8,7,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[4,2,5,1,6,3,8,7,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[4,2,6,1,7,3,8,5,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[4,2,6,1,8,3,9,5,7] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[4,2,6,1,7,3,5,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[4,2,5,1,3,7,6,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[4,2,5,1,6,3,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,2,6,1,7,3,8,5,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,2,6,1,7,3,9,8,5] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[4,2,6,1,8,3,9,5,10,7] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,2,5,1,3,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,2,6,1,7,3,5,8,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[4,2,6,1,8,3,9,5,7,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[4,2,5,1,3,8,9,6,7] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[4,2,6,1,7,3,5,9,8,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[3,2,1,6,7,4,5,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[4,2,5,1,3,7,6,9,8,10] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[1,4,5,2,3,7,6,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[5,3,4,2,7,1,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,2,1,3,8,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,2,4,8,5,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,1,2,5,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,6,1,8,5,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,5,6,7,2,1,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,6,3,8,4,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,6,2,8,3,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,4,7,2,3,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,5,6,4,3,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,3,8,6,5,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,7,3,2,8,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,3,6,2,4,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,4,8,3,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,6,1,3,5,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,5,8,4,3,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,1,2,7,8,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,7,2,6,3,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,6,2,3,7,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,8,1,7,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,4,2,7,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,3,4,7,2,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,6,2,1,7,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,6,2,1,7,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,7,2,3,1,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,1,6,7,3,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,1,8,3,7,4,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,2,1,3,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[10,9,8,7,6,5,4,2,3,1] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,7,4,5,6,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,4,6,8,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,8,5,6,7,9,1,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,4,6,7,1,9,5,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,5,8,1,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,5,6,1,7,9,4,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,4,9,6,7,8,10,1,5] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[2,4,5,1,6,7,9,8,3] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[2,3,4,5,7,8,1,10,6,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,3,4,6,7,1,8,10,5,9] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[2,3,4,5,10,7,8,9,11,1,6] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[7,3,4,6,2,8,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,4,6,8,7,9,1,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,5,7,1,6,9,4,8] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[2,3,5,6,1,7,8,10,9,4] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[2,4,6,1,5,7,9,3,8] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,6,5,1,4,8,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,5,4,8,1,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,1,4,6,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,5,6,4,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,6,7,1,2,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,4,7,3,6,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,7,6,4,8,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,4,3,7,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,5,1,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,5,3,7,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,3,7,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,4,1,6,7,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,2,6,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,1,4,3,2,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,4,3,8,2,7,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,8,1,4,3,2,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,1,8,6,5,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,7,5,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,7,4,3,6,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,3,1,4,6,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,2,5,4,6,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,3,8,1,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,6,3,4,1,7,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,3,1,4,7,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,3,1,5,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,1,5,2,7,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,3,1,4,7,8,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,4,7,8,6,3,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,4,8,7,2,3,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,4,5,3,6,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,8,4,1,7,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,4,7,6,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,5,6,8,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,6,3,8,2,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,6,2,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,2,5,4,7,6,9,8,11,10] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[1,3,2,6,4,7,5,9,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,1,6,3,7,4,8,5,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[8,4,7,6,1,2,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,8,1,6,2,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,4,3,2,7,1,8,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[3,1,6,5,4,7,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,1,3,5,2,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,4,7,1,3,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,3,1,5,4,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,1,3,6,7,4,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,8,6,7,1,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,2,4,7,3,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,8,1,6,5,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,2,4,3,6,5,8,7,9] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[1,3,5,7,2,4,6,9,8] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[1,3,5,7,2,4,6,9,8,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,3,5,7,2,9,4,6,8] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[3,6,4,1,7,2,8,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,7,2,1,8,3,4,9,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,6,4,1,7,2,8,5,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[3,6,7,2,1,4,8,5,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[4,7,2,5,1,8,3,9,6] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => 5

[4,3,7,8,2,1,5,9,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[3,5,2,7,1,8,6,4,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[4,3,6,2,8,1,9,7,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,5,4,3,2,8,1,9,7] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[3,6,4,1,7,2,8,5,9,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,7,2,5,1,8,3,9,6,10] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[4,3,7,8,2,1,5,9,6,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[3,5,2,7,1,8,6,4,9,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[5,8,9,2,1,6,3,10,7,4] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[5,3,8,6,4,1,9,2,10,7] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[5,4,3,8,9,2,1,6,10,7] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,3,6,2,8,1,9,7,5,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,3,7,2,9,1,10,8,6,4] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,4,3,7,2,9,1,10,8,6] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[2,4,1,3,7,8,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,7,6,8,2,3,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,8,1,6,5,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,7,1,4,6,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,5,1,2,7,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,1,4,3,2,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,8,5,3,2,1,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,1,4,8,2,7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,2,3,7,1,8,4,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[7,2,3,1,8,4,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,6,7,4,8,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,2,5,7,4,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,2,7,6,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,2,1,7,6,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,7,8,3,1,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,2,5,1,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,3,7,8,2,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,8,4,6,5,2,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[3,7,1,2,8,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,8,1,6,5,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,1,5,7,3,4,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,8,7,1,6,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,2,4,6,7,5,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,4,2,8,1,7,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,5,8,1,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,1,8,2,6,7,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,1,5,8,7,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,7,3,5,2,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,1,6,2,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,4,5,3,1,7,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,7,5,3,2,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,5,3,8,1,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,1,3,5,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,2,4,5,3,8,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,5,4,7,2,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,8,5,4,7,1,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,8,4,2,5,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,6,2,4,8,3,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,7,8,5,4,2,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,5,2,7,4,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,5,1,7,2,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,3,1,2,8,7,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,8,6,4,5,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,8,7,4,3,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,6,8,7,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,4,2,1,8,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,5,7,2,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,8,1,6,3,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,4,8,3,6,2,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,8,2,3,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,2,5,7,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,8,2,5,7,1,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,2,4,7,3,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,6,2,7,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,2,7,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,1,6,2,4,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,4,7,6,1,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,3,7,6,1,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,6,2,3,8,4,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,2,3,1,7,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,7,3,5,1,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,2,6,3,1,7,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,2,7,3,4,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,8,2,3,1,5,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,2,3,1,6,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,2,1,4,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,7,1,5,6,8,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,2,1,5,3,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,3,4,2,7,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,1,3,5,8,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,7,2,3,4,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,2,8,1,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,6,3,4,5,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,9,4,5,6,7,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[4,1,2,3,9,5,6,7,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,1,2,3,4,9,6,7,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,1,2,3,4,5,9,7,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,4,1,2,9,5,6,7,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[4,1,2,3,10,5,6,7,8,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,5,1,2,3,9,6,7,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,1,2,3,4,10,6,7,8,9] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[5,6,1,2,3,4,9,7,8] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[[[[.,.],.],.],.],.] => 5

[6,1,2,3,4,5,10,7,8,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,5,7,2,8,3,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,6,3,8,5,2,7,4,1] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[8,5,2,9,6,3,7,4,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[7,3,8,4,6,2,9,5,1] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[9,4,7,2,5,8,3,6,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[9,4,6,1,8,3,5,7,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[8,3,5,7,2,9,4,6,1] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[7,2,8,3,9,4,5,6,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[4,5,6,9,3,8,2,7,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,5,4,8,2,9,3,7,1] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[5,6,4,8,2,9,3,7,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[10,8,6,4,2,9,7,5,3,1] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[10,7,4,1,8,5,2,9,6,3] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[9,5,1,7,3,10,6,2,8,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,4,7,3,10,6,2,9,5,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,5,8,3,6,1,9,4,7,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,4,7,2,10,5,8,3,6,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,5,7,2,8,3,9,4,6,1] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[8,3,9,4,7,2,10,5,6,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,4,6,8,2,9,3,5,7,1] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[9,3,8,2,10,4,5,6,7,1] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[5,6,9,3,7,1,10,4,8,2] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,6,5,4,9,2,10,3,8,1] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[5,6,8,4,7,3,10,2,9,1] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[7,5,6,8,4,1,3,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,5,7,3,6,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,6,4,5,1,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,5,3,7,4,1,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,2,6,5,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,7,3,2,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,2,3,5,8,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,3,7,8,1,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,4,1,5,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,7,5,1,6,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,6,1,4,3,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,4,8,2,3,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,6,1,5,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,4,1,2,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,6,7,1,3,5,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,1,3,4,7,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,3,7,8,4,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,2,1,3,7,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,6,7,4,8,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,3,8,4,5,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,8,3,4,6,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,2,7,5,8,4,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,2,7,1,4,5,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,6,1,5,7,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,4,1,2,6,7,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,2,7,4,1,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,4,3,1,5,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,2,5,6,7,8,9,1,3] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[6,4,5,2,7,1,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,6,3,8,4,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,1,2,7,8,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,3,4,8,2,5,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,2,5,1,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,5,4,7,2,8,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,2,1,6,3,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,1,7,4,2,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,2,1,5,3,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,1,5,6,4,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,5,6,1,4,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,2,3,6,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,4,2,1,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,3,6,4,1,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,4,3,8,1,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,4,6,1,3,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,6,5,3,8,1,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,8,2,7,3,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,6,8,4,3,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,7,6,5,3,8,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,2,4,3,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,1,3,7,8,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,2,6,8,7,1,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,5,2,7,1,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,8,7,1,4,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,2,6,1,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,6,4,7,1,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,7,5,4,3,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,4,7,1,3,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,1,3,6,5,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,2,8,1,3,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,1,2,6,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,1,4,7,3,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,6,5,7,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,6,7,5,8,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,5,6,8,7,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,5,6,3,8,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,4,1,2,7,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,7,3,8,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,1,2,5,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,2,7,6,8,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,8,3,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,2,7,6,5,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,2,8,6,5,1,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,5,8,2,7,1,4,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,8,2,1,6,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,6,5,8,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,8,5,2,1,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,7,1,3,2,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,4,6,1,3,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,4,1,8,7,6,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,5,4,1,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,3,4,1,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,1,3,2,8,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,5,8,3,1,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,8,2,4,5,3,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,7,5,4,1,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,3,7,6,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,3,7,1,4,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,8,7,6,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,4,1,2,3,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,1,6,4,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,1,3,2,7,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,6,7,1,5,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,7,8,6,5,3,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,5,8,1,2,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,7,5,2,8,1,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,2,5,7,8,1,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,5,4,7,3,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,9,1,2,3,4,8] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[7,8,10,1,2,3,4,5,6,9] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[4,5,6,7,8,10,1,2,3,9] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[3,6,5,1,7,2,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,4,1,6,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,3,8,7,5,6,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,5,7,4,8,3,9,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[5,4,6,3,8,2,7,1,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[1,6,4,7,3,8,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,5,6,7,2,1,8,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[1,7,6,2,4,8,5,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,8,5,4,3,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,4,6,3,5,1,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,1,4,6,5,2,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,5,4,1,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,5,2,1,6,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,4,8,2,6,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,8,1,3,7,6,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,6,7,1,4,3,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,4,7,8,6,3,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,2,6,3,4,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,3,2,7,1,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,1,5,4,7,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,2,5,4,8,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,2,4,8,5,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,7,3,1,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,5,2,6,3,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,6,2,8,1,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,8,7,1,2,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,3,5,2,4,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,3,8,5,2,7,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,4,6,7,2,1,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,5,1,6,3,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,2,8,3,7,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,5,1,6,4,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,6,3,8,5,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,8,7,4,5,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,4,3,7,5,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,2,1,5,7,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,2,8,7,4,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,2,8,3,1,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,3,7,8,1,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,5,6,3,8,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,7,4,3,2,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,1,3,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,4,5,8,3,7,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,6,4,1,8,2,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,3,5,4,8,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,8,3,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,1,2,7,6,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,3,2,7,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,7,3,4,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,1,2,6,5,8,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[6,5,3,1,2,4,8,7,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[7,5,3,1,2,4,6,9,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[5,3,1,2,4,7,6,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[6,5,3,1,2,4,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[5,3,1,2,4,6,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,7,3,1,2,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,2,8,7,5,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,1,2,4,9,7,6,8] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,1,2,7,5,4,6,9,8] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[1,5,3,2,4,7,6,9,8] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[6,7,1,5,2,8,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,1,3,6,2,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,1,6,5,8,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,3,8,1,5,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,5,7,4,8,3,6,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,2,4,7,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,5,7,3,6,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,3,7,1,2,8,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,4,8,5,2,3,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,8,5,2,3,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[7,1,4,2,6,8,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,8,7,2,4,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,7,3,5,4,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,4,2,8,1,3,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,7,5,6,2,8,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,3,6,7,5,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,3,2,7,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,3,6,5,9,7,10,8] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,4,3,7,5,8,6,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,4,3,8,5,9,6,10,7] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[2,1,5,3,6,4,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,5,3,6,4,9,7,10,8] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[2,1,5,3,8,4,9,6,10,7] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,1,6,3,7,4,8,5,10,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[2,1,6,3,7,4,9,5,10,8] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,1,6,3,8,4,9,5,10,7] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[3,1,4,2,6,5,9,7,10,8] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[3,1,4,2,7,5,8,6,10,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[3,1,4,2,7,5,9,6,10,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,1,4,2,8,5,9,6,10,7] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[3,1,5,2,6,4,9,7,10,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,1,6,2,7,4,8,5,10,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,1,6,2,7,4,9,5,10,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[3,1,6,2,8,4,9,5,10,7] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[4,1,5,2,6,3,9,7,10,8] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[4,1,5,2,7,3,8,6,10,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[4,1,5,2,8,3,9,6,10,7] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[4,1,6,2,7,3,8,5,10,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[4,1,6,2,7,3,9,5,10,8] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[4,1,6,2,8,3,9,5,10,7] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[4,1,7,2,8,3,9,5,10,6] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[5,1,6,2,8,3,9,4,10,7] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[5,1,7,2,8,3,9,4,10,6] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[2,1,4,3,6,5,10,7,11,8,12,9] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[2,1,4,3,7,5,8,6,11,9,12,10] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,4,3,8,5,9,6,10,7,12,11] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[2,1,4,3,8,5,10,6,11,7,12,9] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[2,1,5,3,6,4,8,7,11,9,12,10] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,5,3,6,4,9,7,10,8,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,5,3,6,4,10,7,11,8,12,9] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[2,1,5,3,8,4,9,6,11,7,12,10] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[2,1,6,3,7,4,8,5,10,9,12,11] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[2,1,6,3,7,4,8,5,11,9,12,10] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[2,1,6,3,7,4,10,5,11,8,12,9] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[2,1,6,3,8,4,9,5,10,7,12,11] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[2,1,6,3,8,4,10,5,11,7,12,9] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[2,1,7,3,9,4,10,5,11,6,12,8] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[3,1,4,2,6,5,8,7,11,9,12,10] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,1,4,2,6,5,9,7,10,8,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,1,4,2,6,5,10,7,11,8,12,9] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[3,1,4,2,7,5,8,6,10,9,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[3,1,4,2,7,5,8,6,11,9,12,10] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[3,1,4,2,7,5,10,6,11,8,12,9] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[3,1,4,2,8,5,9,6,10,7,12,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[3,1,4,2,8,5,9,6,11,7,12,10] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[3,1,4,2,8,5,10,6,11,7,12,9] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[3,1,5,2,6,4,9,7,11,8,12,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[3,1,6,2,7,4,8,5,11,9,12,10] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[3,1,6,2,7,4,9,5,10,8,12,11] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[3,1,6,2,7,4,10,5,11,8,12,9] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[3,1,6,2,8,4,9,5,11,7,12,10] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[3,1,6,2,9,4,10,5,11,7,12,8] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[4,1,5,2,6,3,8,7,10,9,12,11] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[4,1,5,2,6,3,8,7,11,9,12,10] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,1,5,2,6,3,9,7,10,8,12,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,1,5,2,6,3,10,7,11,8,12,9] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[4,1,5,2,7,3,8,6,11,9,12,10] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[4,1,5,2,8,3,9,6,10,7,12,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,1,5,2,8,3,9,6,11,7,12,10] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[4,1,5,2,8,3,10,6,11,7,12,9] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,1,6,2,7,3,8,5,10,9,12,11] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[4,1,6,2,7,3,8,5,11,9,12,10] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,1,6,2,7,3,10,5,11,8,12,9] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,1,6,2,8,3,9,5,10,7,12,11] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[4,1,6,2,8,3,10,5,11,7,12,9] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[4,1,7,2,8,3,10,5,11,6,12,9] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[4,1,7,2,9,3,10,5,11,6,12,8] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[5,1,6,2,8,3,9,4,11,7,12,10] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[5,1,7,2,8,3,9,4,10,6,12,11] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[5,1,7,2,8,3,10,4,11,6,12,9] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[6,1,8,2,9,3,10,4,11,5,12,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[1,3,7,6,4,8,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,7,3,5,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,1,3,7,2,4,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,6,7,1,4,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,5,3,2,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,5,2,8,6,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,7,2,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,1,2,7,4,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,6,2,4,8,3,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,4,2,7,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,4,3,8,6,1,5] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,7,6,5,4,3,2,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[6,8,4,3,5,1,7,2] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,7,3,6,8,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,7,3,6,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,2,8,7,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,3,6,8,1,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,8,2,1,7,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,1,8,7,5,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,5,6,7,2,4,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,4,5,1,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,5,3,8,2,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,4,5,1,3,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,7,4,1,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,7,5,8,2,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,7,5,4,8,1,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,1,5,7,4,6,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,7,4,2,3,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,1,7,2,4,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,4,7,8,6,3,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,8,1,2,6,3,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,2,3,8,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,3,6,1,7,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,1,8,2,4,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,8,3,2,4,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,7,3,1,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,8,7,3,1,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,2,1,3,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,1,3,8,5,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,3,8,6,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,2,7,6,5,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,6,5,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,7,3,4,1,5,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,7,6,2,8,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,4,1,5,2,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,3,1,6,2,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,8,9,6,5,4,3,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,6,7,8,9,5,4,3,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[1,7,8,9,10,6,5,4,3,2] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,6,5,7,8,9,4,3,2] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[1,6,7,8,9,10,5,4,3,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[1,5,4,6,7,8,9,3,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[1,4,5,6,7,8,9,10,3,2] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,8,5,1,3,2,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,3,1,2,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,6,5,2,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,5,2,3,6,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,6,3,7,2,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,1,2,8,3,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,3,6,7,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,5,1,3,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,7,4,3,1,5,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,3,1,7,4,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,3,7,2,4,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,6,7,1,5,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,5,8,1,3,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,7,3,2,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,1,4,7,2,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,5,2,1,7,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,2,8,6,1,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,5,8,2,6,1,4,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,2,7,4,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,1,2,6,5,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,4,8,6,3,2,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,7,1,2,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,7,3,4,2,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,8,3,4,2,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,8,5,3,4,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,6,8,4,2,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,8,6,4,3,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[9,7,8,6,5,4,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[5,1,7,8,4,2,3,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,2,1,6,7,5,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,8,3,1,7,5,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[9,7,10,4,2,1,3,6,8,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,8,5,6,2,1,4,3,7,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,7,5,10,2,1,4,6,8,3] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,6,9,10,2,1,5,7,4,3] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,8,9,10,2,1,6,5,4,3] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[10,8,6,3,4,2,1,5,7,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,7,10,3,4,2,1,6,8,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,9,10,3,4,2,1,7,6,5] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[10,6,7,3,8,2,5,4,1,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,6,9,3,10,2,5,7,4,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,8,4,5,6,3,2,1,7,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,10,4,5,6,3,2,1,8,7] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[10,7,4,5,8,3,2,6,1,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,6,4,9,10,3,5,7,2,1] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[10,5,6,7,8,4,3,2,1,9] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[9,5,6,7,10,4,3,2,8,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[12,9,10,6,4,2,1,3,5,8,7,11] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[10,8,11,12,4,2,1,3,7,9,6,5] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[10,11,12,5,6,2,1,4,3,9,8,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,12,7,5,8,2,1,4,6,3,10,9] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[12,9,7,5,10,2,1,4,6,8,3,11] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[12,8,9,5,10,2,1,4,7,6,3,11] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,8,6,9,12,2,1,5,7,4,10,3] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[8,9,10,11,12,2,1,7,6,5,4,3] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[10,8,11,12,3,4,2,1,7,9,6,5] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[12,10,8,5,3,6,2,4,1,7,9,11] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[11,12,6,7,3,8,2,5,4,1,10,9] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[12,9,6,7,3,10,2,5,4,8,1,11] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[12,10,5,6,7,8,4,3,2,1,9,11] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[12,6,7,8,9,10,5,4,3,2,1,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[2,10,4,5,6,7,9,1,3,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,7,4,1,5,8,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,6,4,7,8,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,5,3,8,2,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,4,5,6,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,6,3,4,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,8,7,3,2,1,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,8,2,7,1,5,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,1,2,4,6,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,3,4,5,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,8,3,4,2,5,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,1,2,4,3,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,8,1,4,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,7,6,3,4,5,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,1,5,3,8,2,4,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,6,8,5,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,8,4,5,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,1,2,8,5,4,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,1,3,7,8,4,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,3,8,4,7,6,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,1,2,8,4,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,8,7,5,4,6,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,8,7,4,6,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,4,7,1,8,3,6,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,5,4,2,3,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,4,3,6,7,2,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,1,6,7,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,5,3,8,1,7,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,5,6,4,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,1,5,3,7,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,3,7,8,1,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,8,7,2,1,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,5,6,3,4,8,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,3,8,4,7,2,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,8,5,4,1,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,5,2,8,1,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,4,2,8,1,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,6,3,2,8,4,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,3,6,8,4,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,5,2,8,3,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,3,2,4,6,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,5,3,8,1,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,2,6,8,7,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,8,7,6,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,8,7,4,6,5,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,8,5,2,7,6,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,4,7,2,1,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,6,2,5,7,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,3,6,5,1,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,5,4,3,8,7,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,2,6,4,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[10,9,8,6,4,2,1,3,5,7] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,8,6,5,4,2,1,3,7,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,9,8,5,7,4,2,1,6,3] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,8,6,4,3,2,1,5,7,9] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,9,8,6,3,5,2,4,1,7] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[10,8,3,7,5,2,4,6,1,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[10,9,8,3,7,5,2,4,6,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,5,9,7,4,3,2,6,8,1] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[10,8,4,7,6,3,5,2,1,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,4,9,6,8,3,5,7,2,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[12,10,8,7,6,4,2,1,3,5,9,11] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[12,11,10,7,9,6,4,2,1,3,8,5] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[12,10,8,7,6,5,4,2,1,3,9,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[12,10,9,8,6,4,3,2,1,5,7,11] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[12,7,11,9,6,4,3,2,1,8,10,5] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[12,8,11,10,7,9,4,3,2,1,6,5] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[12,10,8,6,3,5,2,4,1,7,9,11] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[12,10,7,9,6,3,5,2,4,8,1,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[12,10,5,9,7,4,3,2,6,8,1,11] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[12,10,4,9,6,8,3,5,7,2,1,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[12,8,11,10,4,7,6,3,5,9,2,1] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[12,7,11,9,6,5,4,3,2,8,10,1] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[12,10,6,9,8,5,4,3,7,2,1,11] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[1,4,8,6,7,2,5,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,8,1,2,5,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,6,8,2,1,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,4,5,8,6,3,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,8,2,3,1,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,7,5,1,8,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,7,3,6,5,8,2,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,3,4,2,6,7,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,5,3,8,6,2,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,3,1,8,2,6,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,7,5,2,8,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,2,8,6,7,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,7,8,6,1,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,2,6,8,4,5,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,7,6,8,2,3,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,6,2,4,3,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,5,8,3,4,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,3,6,5,8,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,2,8,6,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,7,8,4,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,1,5,7,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,3,7,1,2,6,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,2,3,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,1,3,2,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,3,8,6,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,3,8,1,4,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,4,5,3,2,8,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,7,3,8,5,1,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,7,3,2,5,6,4,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[3,1,8,2,6,5,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,2,8,1,4,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,2,3,1,5,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,8,5,3,4,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,1,8,4,6,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,8,5,6,4,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,6,2,5,4,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,5,6,4,3,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,8,4,5,1,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,2,1,7,8,4,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,2,5,3,4,8,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,2,5,3,4,8,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,6,5,3,4,8,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,4,8,1,7,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,3,8,4,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,8,1,4,7,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,3,5,8,1,7,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,5,4,8,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,2,4,8,7,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,3,6,8,4,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,2,5,1,7,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,1,7,4,8,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,7,4,8,5,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,1,7,3,2,5,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,5,7,4,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,7,4,1,5,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,4,7,5,1,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,2,7,8,6,5,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,2,6,5,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,3,2,6,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,7,1,4,6,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,3,8,5,7,1,4,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,4,1,2,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,8,1,4,2,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,1,4,2,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,6,3,4,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,2,6,1,4,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,4,5,1,8,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,2,8,5,3,4,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,7,8,9,1,5,6] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,3,4,5,1,9,6,7,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,4,1,8,9,5,6,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,1,7,8,9,4,5,6] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[2,5,6,7,8,9,10,1,3,4] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[2,5,6,3,4,1,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,2,1,5,8,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,7,2,3,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,5,8,7,4,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,5,8,1,6,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,5,4,2,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,8,5,6,3,1,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,2,6,1,5,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,2,7,8,3,1,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,5,6,7,1,8,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,5,8,1,2,3,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,8,7,4,6,5,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,1,8,7,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,2,7,6,1,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,3,7,6,2,4,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,7,1,6,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,2,8,1,7,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,5,3,2,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,4,3,2,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,7,5,4,2,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,8,7,5,2,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,2,5,4,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,7,6,3,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,7,5,1,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,5,1,4,7,8,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,6,3,8,4,7,2,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,2,3,6,5,8,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[4,1,2,3,6,5,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[4,1,6,2,3,5,8,7,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[5,8,4,1,3,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,7,2,3,8,1,4,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,2,8,1,7,4,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,3,1,2,5,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,5,4,7,3,1,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,2,1,5,4,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,1,2,7,6,3,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,7,3,1,2,4,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,2,3,5,4,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,6,1,3,5,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,3,7,2,5,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,2,4,5,1,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,3,8,1,7,5,6,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,4,7,2,6,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,3,7,6,4,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,3,7,6,2,4,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,1,8,4,2,3,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,8,1,4,7,3,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,2,6,7,5,4,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,1,7,5,6,2,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,2,4,7,6,5,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,7,6,4,5,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,7,2,3,6,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,4,7,3,6,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,7,6,4,5,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,7,6,4,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,4,7,3,6,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,1,9,8,7,6,5,4] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[3,4,2,1,9,8,7,6,5] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[4,5,3,2,1,9,8,7,6] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[5,6,4,3,2,1,9,8,7] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[6,7,5,4,3,2,1,9,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,8,1,5,3,7,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,2,4,7,5,6,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,6,2,3,8,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,3,8,6,2,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,2,3,7,4,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,1,8,2,7,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,6,4,3,5,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,1,4,3,7,5,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,6,2,3,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,5,3,7,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,7,2,8,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,4,5,1,6,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,6,8,1,2,5,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,8,5,1,3,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,7,2,1,6,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,1,6,8,3,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,5,6,1,7,2,9,8] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[3,4,5,7,6,1,9,2,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[1,4,2,6,5,3,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,6,9,7,1,8,2,4] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[1,4,8,5,6,2,7,9,3] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[3,4,5,6,7,8,1,9,2,11,10] => [5,4,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [.,[[[.,[.,[[.,.],.]]],.],.]] => 2

[2,4,5,6,10,7,1,8,3,9] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[2,5,9,6,7,3,1,4,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,1,5,2,7,6,3,9,8] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[1,8,7,4,2,3,6,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,7,9,8,1,3,4,2,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,1,5,2,8,6,3,7,4] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[7,4,6,2,1,3,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,7,2,3,5,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,8,6,7,1,5,4,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,3,2,8,6,1,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,5,2,4,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,5,1,2,7,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,3,8,7,1,6,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,6,8,5,1,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,3,8,1,6,5,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,6,2,5,8,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,3,2,4,5,8,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,4,6,8,7,2,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,7,5,3,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,6,2,7,4,3,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,9,1,2,3,4,5,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,4,1,5,7,3,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,4,5,1,7,6,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,3,4,1,6,5,8,7,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,3,4,5,1,8,6,9,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,4,1,7,5,8,6,9] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[6,5,8,3,2,7,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,4,3,1,7,6,5,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,4,5,6,7,9,1,8,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[4,6,8,5,2,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,4,2,1,9,8,7,6] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[6,5,3,4,2,1,9,8,7] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[7,6,4,5,3,2,1,9,8] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[4,5,2,7,8,6,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,5,8,7,2,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,1,8,5,7,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,6,7,2,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,1,2,5,8,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,8,4,1,5,7,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,6,2,3,7,5,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,8,9,6,1,2,3,4,10,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,8,9,10,7,1,3,4,5,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,8,9,10,1,2,3,4,5,11,6] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[2,8,9,10,11,1,3,4,5,6,7] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[5,4,8,7,3,6,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,2,7,6,8,3,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,5,2,7,3,6,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,3,4,2,8,5,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,3,6,5,8,2,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,7,4,5,3,6,1] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,3,8,2,7,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,2,8,4,7,5,6,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,3,6,2,7,4,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,7,8,3,6,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,7,3,8,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,5,7,3,8,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,2,3,8,7,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,1,3,8,4,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,6,8,2,4,7,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,4,2,3,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,7,3,2,4,6,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,1,4,6,8,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,2,5,7,3,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,7,2,4,8,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,5,8,2,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,2,6,8,4,3,5,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,4,1,3,7,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,4,2,1,6,8,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,3,5,6,4,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,6,4,7,3,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,6,4,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,7,4,2,5,3,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,2,5,1,4,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,4,1,3,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,1,8,5,4,3,7,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,5,4,6,2,7,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,4,7,2,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,5,7,3,4,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,2,4,7,8,1,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[9,7,5,4,1,3,8,2,6] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[9,6,10,1,3,7,8,2,4,5] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[10,8,6,1,4,9,3,7,2,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,8,6,5,4,1,3,9,2,7] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[1,7,8,5,4,6,2,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,6,8,1,5,2,7,3] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[2,3,7,5,8,6,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,6,4,8,2,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,8,6,4,7,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,6,2,8,1,7,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,8,4,5,1,3,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,3,8,1,4,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[9,6,5,4,3,2,1,7,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[10,7,6,5,4,3,2,1,8,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[9,8,5,4,3,2,1,6,7] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[8,6,5,2,4,3,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,2,6,3,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,3,2,6,4,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,6,5,8,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,6,4,8,2,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,3,6,8,4,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,5,7,4,2,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,2,5,7,1,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[9,1,2,3,4,8,6,7,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,1,4,7,3,5,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,1,2,8,4,5,6,7,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,3,7,2,4,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[9,1,8,3,4,5,6,7,2] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,1,2,3,4,7,8,6,5] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,1,2,3,6,8,5,7,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,1,2,5,8,4,6,7,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[10,1,2,3,9,5,6,7,8,4] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[8,1,4,5,7,3,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,1,4,8,3,5,6,7,2] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[10,1,2,9,4,5,6,7,8,3] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,5,6,4,1,3,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,1,3,5,7,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,2,7,5,8,1,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,6,8,5,2,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,3,2,1,8,6,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,5,8,1,7,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,2,8,6,7,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,8,6,2,4,7,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,2,1,3,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,1,3,2,8,6,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,4,5,8,6,1,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,5,8,6,1,2,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,1,2,5,4,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,8,2,4,3,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,3,7,8,2,6,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,7,8,3,6,5,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,7,8,3,6,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,2,7,3,4,5,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,1,6,7,8,3,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,1,7,4,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,2,3,5,7,6,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,5,2,3,1,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,3,1,2,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,7,3,2,5,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,1,7,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,2,7,3,8,1,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,4,2,6,7,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,8,3,6,5,2,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,7,5,1,8,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,2,6,8,7,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,6,8,4,1,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,2,3,7,5,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,3,8,7,4,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,8,1,2,7,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,6,2,8,5,3,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,3,5,4,7,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,7,6,4,1,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,3,7,5,1,6,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,1,5,6,3,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,7,1,6,3,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,7,2,3,8,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,3,6,7,4,8,1,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,7,8,3,6,5,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,7,8,4,2,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,7,3,2,8,1,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,6,5,3,7,8,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,3,2,8,4,7,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,2,6,4,8,7,3,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,4,7,8,6,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,4,5,6,8,9,1,7,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,5,6,7,8,9,1,3,2] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,4,5,7,8,9,10,1,6,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[5,2,6,7,8,1,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,6,7,8,9,10,1,5,2] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[5,4,2,3,1,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,1,4,3,8,2,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,7,5,6,2,1,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,6,7,5,2,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,5,4,7,3,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,7,8,6,1,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,6,3,8,1,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,8,1,4,6,2,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,5,1,6,3,2,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,8,6,2,3,5,1,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,4,6,7,3,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,6,3,4,1,2,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,5,8,4,6,1,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,8,6,5,1,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,5,8,3,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,7,3,5,6,2,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,6,4,2,8,1,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,3,7,6,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,1,3,6,7,5,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,8,6,1,7,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,8,6,7,3,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,2,3,6,7,8,9,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,5,4,2,3,7,8,9,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[7,6,5,4,2,3,8,9,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[4,6,1,5,7,2,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,4,8,7,1,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,1,6,7,8,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,1,4,7,8,6,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,7,6,2,4,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,4,7,2,5,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,1,6,5,3,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,6,4,8,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,2,6,4,5,8,1,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,4,5,7,3,8,2,9,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[3,5,7,2,8,4,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,2,1,4,8,6,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,8,3,4,1,7,6,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,7,6,8,2,5,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,6,7,1,4,5,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,2,6,1,5,3,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,5,3,4,7,1,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,6,4,1,2,5,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,5,4,1,6,2,8,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,3,6,2,7,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,4,2,6,5,3,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,4,2,7,1,8,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,1,2,7,8,5,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,5,2,7,6,3,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,1,3,6,8,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,1,2,4,3,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,7,5,1,2,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,2,7,8,4,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,8,4,7,5,2,3,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[8,4,7,2,1,6,3,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,5,8,2,1,6,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,1,5,3,6,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,5,3,6,8,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,4,8,2,1,3,6,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,2,8,3,1,4,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[9,8,7,5,6,4,3,2,10,1] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[8,7,5,4,6,3,2,9,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[8,7,4,6,5,3,2,9,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[2,3,6,7,8,9,5,4,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,4,5,1,9,8,7,6] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,3,4,1,8,9,7,6,5] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[2,3,1,7,8,9,6,5,4] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[2,3,4,7,8,9,10,6,5,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,1,6,7,8,9,5,4,3] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[7,8,2,4,6,10,1,3,5,9] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,9,10,7,2,4,6,1,3,5] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,9,10,3,4,7,2,6,1,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,5,9,10,3,7,2,4,6,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,5,6,3,2,8,10,1,7,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,6,9,4,10,3,5,7,2,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,6,7,8,4,3,2,10,1,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,8,9,5,10,4,6,3,2,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,8,11,12,2,4,6,10,1,3,5,9] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[10,11,12,5,6,9,2,4,8,1,3,7] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[5,8,9,10,7,2,4,6,12,1,3,11] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[6,7,8,5,11,12,2,4,10,1,3,9] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[3,4,9,10,2,6,8,12,1,5,7,11] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[3,10,11,12,4,7,9,2,6,8,1,5] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[[[[.,.],.],.],.],.],.] => 6

[5,10,11,12,3,6,9,2,4,8,1,7] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[8,5,9,10,3,7,2,4,6,12,1,11] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[6,9,4,10,11,12,8,3,5,7,2,1] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[5,6,7,8,4,3,2,10,12,1,9,11] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[10,8,5,6,11,4,12,3,7,9,2,1] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[7,6,1,8,2,5,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,1,6,7,3,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,2,1,6,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,4,1,2,5,3,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,2,8,1,6,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,2,6,4,5,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,7,6,3,2,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,4,6,7,2,10,8,5,9] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,2,4,5,7,9,3,10,8,6] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,3,4,2,7,9,5,10,8,6] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[1,2,4,5,8,7,9,3,10,6] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,3,4,2,8,7,9,5,10,6] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[1,3,4,6,8,2,9,5,10,7] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[1,3,4,7,6,8,2,9,5,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[2,1,5,3,8,6,9,4,10,7] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,9,7,6,5,4,3,1,2] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[8,6,7,5,4,3,2,1,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[8,7,9,6,5,4,3,1,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[4,3,1,6,7,2,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,3,1,5,7,2,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,9,6,5,4,2,3,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[4,5,2,1,3,7,6,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,6,5,4,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,6,8,2,1,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,6,8,1,3,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,3,2,1,7,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,1,3,2,6,7,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,7,1,3,5,6,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,2,8,1,4,6,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,6,3,7,8,1,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,1,4,3,6,2,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,3,7,1,5,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,2,8,1,5,4,7,3] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,5,3,6,4,2,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,7,5,2,4,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,4,3,2,1,8,9,7] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[6,5,2,1,4,3,12,11,8,7,10,9] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[5,8,4,3,2,6,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,5,7,3,8,2,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,2,7,8,6,4,3,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,7,8,6,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,1,4,3,6,5,7,9,10,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,3,5,7,8,6,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,3,5,7,6,9,10,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,3,5,6,4,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,3,5,6,4,7,9,10,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,1,3,5,4,7,8,6,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,3,5,4,7,6,9,10,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,3,4,6,7,5,9,10,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,3,4,2,6,5,7,9,10,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,3,4,2,5,7,8,6,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,3,4,2,5,7,6,9,10,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,3,2,5,6,4,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,3,2,5,6,4,7,9,10,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,3,2,5,4,7,8,6,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,3,2,5,4,7,6,9,10,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,3,2,4,6,7,5,9,10,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,2,4,5,3,7,8,6,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,2,4,5,3,7,6,9,10,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,2,4,3,6,7,5,9,10,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,3,4,9,6,7,8,5,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,3,9,5,6,7,8,4,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,9,4,5,6,7,8,3,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,4,1,9,7,8,6,5] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[2,3,4,5,10,7,8,9,6,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,3,1,9,6,7,8,5,4] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[2,3,4,10,6,7,8,9,5,1] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[2,1,9,5,6,7,8,4,3] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[2,3,10,5,6,7,8,9,4,1] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[5,6,4,7,3,9,1,8,2] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[5,6,4,9,1,8,2,7,3] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[5,4,3,8,1,7,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,4,6,3,7,2,9,1,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,7,3,9,1,8,2,6,4] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[6,4,9,1,8,2,7,3,5] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[5,6,4,7,3,10,1,9,2,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[1,6,4,2,7,3,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,3,2,1,8,9,7,6] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[4,3,2,1,8,9,7,6,5] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,2,1,8,9,7,6,5,4] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,1,8,9,7,6,5,4,3] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,3,4,5,6,7,2,1,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[7,2,9,8,3,4,5,6,1] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[9,8,2,3,4,5,1,6,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[9,5,6,7,8,2,1,3,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[10,4,5,6,7,8,9,2,1,3] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,3,4,5,6,2,1,7,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,6,2,8,3,1,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,5,6,2,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,5,1,8,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,5,7,6,3,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,8,6,7,5,3,2,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,8,3,1,6,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,4,3,8,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,4,1,7,3,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,3,8,1,7,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,6,3,2,8,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,3,8,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,3,7,6,8,4,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,7,2,5,6,3,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,2,6,7,4,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,4,8,7,6,1,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,8,7,6,3,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,7,6,4,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,5,2,9,6,3,10,7,4] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[7,2,4,1,8,5,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,2,6,1,8,3,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,6,1,4,7,8,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,7,2,5,3,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[4,5,3,1,2,6,8,7] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,5,1,3,8,2,6,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,5,3,2,7,6,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,1,7,4,3,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,4,3,6,7,1,5,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,6,1,4,3,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,5,3,7,2,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,6,5,4,1,7,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[10,9,3,8,7,6,5,4,2,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[10,9,8,6,5,4,7,3,2,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[9,11,1,2,3,4,5,6,7,8,10] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[6,7,1,9,2,3,4,5,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,1,8,9,2,3,4,5,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[8,1,9,10,2,3,4,5,6,7] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[6,8,7,5,4,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,8,7,3,2,4,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,8,2,6,7,5,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,6,1,2,4,5,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,5,1,7,2,3,4,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,6,8,7,3,4,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,3,6,7,8,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,1,5,6,8,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,2,6,7,8,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,7,8,9,1,2,4,5] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[3,4,5,6,1,7,2,8,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[3,4,5,6,7,10,1,2,8,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[3,4,5,6,9,10,1,2,7,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[3,4,7,8,9,10,1,2,5,6] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[2,6,7,8,9,1,3,4,5] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[6,3,7,1,8,2,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,1,4,3,6,5,10,7,9,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,3,8,5,7,6,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,4,3,10,9,7,5,6,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,6,3,5,4,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,6,3,5,4,10,7,9,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[2,1,8,7,5,3,4,6,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,10,7,5,9,4,3,6,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,10,9,4,6,7,3,5,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,1,3,2,6,5,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[4,1,3,2,6,5,10,7,9,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,1,3,2,8,5,7,6,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,1,3,2,10,9,7,5,6,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[6,5,3,1,2,4,10,7,9,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[8,5,3,7,2,1,4,6,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[10,5,3,7,2,9,4,1,6,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[10,6,3,9,4,2,7,1,5,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[8,7,2,4,5,1,3,6,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[10,7,2,4,5,9,3,1,6,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[10,9,7,4,2,6,3,1,5,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,5,4,7,8,3,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,4,7,8,3,6,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,7,8,5,4,2,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,1,7,3,2,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,3,5,1,2,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,4,2,3,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[10,9,7,6,5,4,3,8,2,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[4,7,1,6,8,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,5,8,2,3,7,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[11,10,9,8,6,7,5,4,3,2,1] => [3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [.,[[[[.,[.,[.,.]]],.],.],.]] => 2

[2,7,6,4,8,3,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,3,7,5,8,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,1,2,3,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,6,3,7,2,8,1,9,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[4,7,3,2,6,5,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,5,8,4,1,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,3,6,8,1,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,1,3,2,4,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,1,4,5,3,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,1,4,3,6,5,10,7,8,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,4,3,8,5,6,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,6,3,4,5,8,7,10,9] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[2,1,6,3,4,5,10,7,8,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[4,1,2,3,6,5,10,7,8,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[4,1,2,3,8,5,6,7,10,9] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[4,1,2,3,10,9,6,5,8,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[6,5,2,1,4,3,10,7,8,9] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[2,1,4,3,8,5,6,7,12,9,10,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,6,3,4,5,8,7,12,9,10,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[2,1,6,3,4,5,10,7,8,9,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[4,1,2,3,6,5,8,7,12,9,10,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[4,1,2,3,6,5,10,7,8,9,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[4,1,2,3,8,5,6,7,10,9,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[4,1,2,3,8,5,6,7,12,9,10,11] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[6,5,2,1,4,3,12,7,8,9,10,11] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[6,1,2,3,4,5,12,11,8,7,10,9] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[6,1,2,3,4,5,12,7,8,9,10,11] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[1,5,4,8,7,3,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,1,2,6,5,7,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,5,8,1,2,4,6,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,5,2,8,7,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,4,7,2,6,5,8,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,5,7,2,6,4,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,6,2,8,5,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,6,8,3,4,2,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,1,7,8,6,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,4,8,6,5,7,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,7,3,6,1,4,2,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,2,1,5,6,4,7,3] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,7,2,4,6,1,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,5,6,3,8,7,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,2,5,4,3,8,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,3,1,2,6,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,2,5,1,3,6,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,7,3,1,2,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,8,3,6,5,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,8,2,6,5,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,3,8,5,4,2,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,4,2,3,7,8,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,3,6,2,5,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,5,8,2,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,4,1,7,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,8,3,1,6,4,5,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,1,6,3,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,1,6,2,7,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,2,6,8,1,4,3,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,8,2,1,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,7,3,5,4,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,3,7,4,1,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,8,5,3,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,7,3,8,4,1,6,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,3,1,5,4,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,8,1,4,6,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,8,1,3,6,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,6,5,2,8,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,3,8,5,7,6,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,3,1,7,2,8,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,2,6,3,1,8,5,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,3,2,8,7,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,8,1,7,5,4,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,3,1,2,5,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,5,7,2,8,4,9,6] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[1,3,5,6,2,7,4,9,8] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[1,3,4,5,2,7,6,9,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[3,5,7,1,2,4,6,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[1,3,5,7,2,9,4,6,8,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[3,5,7,8,1,9,2,4,6] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[1,3,5,7,2,9,4,10,6,8] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,3,5,7,2,8,4,9,6,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,3,5,6,2,7,4,9,8,10] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[5,4,3,6,1,7,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,7,8,5,6,1,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,9,7,6,5,4,3,2,8] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[1,9,8,7,6,5,2,3,4] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,9,8,5,6,4,3,2,7] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[1,8,4,5,6,3,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,9,6,7,5,4,3,2,8] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[1,10,8,7,6,5,4,3,2,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,3,7,8,4,6,2,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,4,3,7,1,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,4,8,7,2,1,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,4,7,1,3,6,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,8,9,2,3,4,1,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,6,7,8,9,2,3,1,4] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[8,9,10,2,3,4,5,6,1,7] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,5,6,7,8,1,9,2,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,7,1,4,5,6,2,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[3,6,1,4,5,2,7,8] => [2,2,1,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 3

[1,7,4,6,3,5,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,6,5,7,2,4,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,7,2,5,6,4,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,6,8,5,4,3,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,8,5,3,2,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,3,7,6,8,5,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,7,8,6,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,3,7,6,1,2,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,6,1,2,3,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,8,7,6,5,4,3,1,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[2,1,4,9,8,7,6,5,3] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[3,7,6,5,4,2,1,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[1,5,4,3,8,6,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,2,4,6,5,3,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,7,1,5,8,2,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,1,8,3,7,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,4,1,7,8,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,7,2,1,5,4,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,3,7,5,4,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,3,6,5,4,2,1,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,3,5,7,2,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,1,6,5,2,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,2,8,6,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,4,7,3,2,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,8,7,2,6,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,7,3,5,1,4,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,7,2,3,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,8,6,7,3,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,8,6,5,3,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,5,2,6,7,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,3,2,1,8,5,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,1,9,2,3,4,5,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,1,3,8,2,7,4,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,6,3,2,4,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,4,3,9,6,10,5,8,7] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,9,6,10,3,5,4,8,7] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,1,7,4,8,3,6,5,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[2,1,7,4,10,3,6,5,9,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[4,1,3,2,9,6,10,5,8,7] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[9,6,10,1,3,2,5,4,8,7] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[7,4,8,1,3,2,6,5,10,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[7,4,10,1,3,2,6,5,9,8] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,2,6,1,4,3,8,7,10,9] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[5,2,6,1,4,3,10,7,9,8] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[5,2,8,1,4,3,7,6,10,9] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[9,2,6,5,10,1,4,3,8,7] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,1,5,4,9,2,6,3,8,7] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[8,3,9,2,7,4,10,1,6,5] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,1,11,8,12,3,5,4,7,6,10,9] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[9,6,10,1,3,2,5,4,8,7,12,11] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[12,1,5,4,10,7,11,2,6,3,9,8] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[4,7,6,1,3,2,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,6,5,4,3,1,9,8] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[3,2,1,9,5,8,7,6,4] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[6,3,5,4,2,1,9,8,7] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[4,3,2,1,9,7,8,6,5] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[7,2,5,8,6,1,3,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,3,6,2,5,8,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,2,3,8,4,1,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,2,6,8,7,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,6,7,5,2,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,6,2,3,8,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,1,7,6,5,2,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,4,1,5,6,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,4,7,3,5,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,5,7,6,3,8,2,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,7,8,3,5,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,5,8,6,7,4,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,7,1,3,5,2,6,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,8,6,2,1,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,8,6,3,2,1,7,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,4,7,6,8,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,6,4,7,1,8,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,3,7,4,6,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,2,9,4,5,6,3,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,1,2,3,8,4,5,9,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,1,2,8,3,4,6,9,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,1,2,3,10,5,6,7,4,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[4,1,9,2,3,5,6,8,7] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[7,1,2,3,4,9,5,6,10,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[6,1,2,3,9,4,5,7,10,8] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[10,1,2,3,4,11,6,7,8,5,9] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[5,1,2,8,3,6,4,9,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[5,1,2,10,3,4,6,7,9,8] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,1,8,2,5,3,6,9,7] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[6,4,7,1,5,2,8,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,5,2,8,7,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,3,4,5,7,8,1,9,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,4,5,7,9,1,6,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,5,6,1,7,8,9,10,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,1,7,2,5,8,3,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[3,2,5,8,6,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,1,7,2,8,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,4,3,6,8,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,1,6,2,8,3,5,7,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[4,1,6,2,8,3,9,5,7] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[4,1,6,2,7,3,8,5,9] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[4,8,7,3,5,1,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,8,7,1,6,2,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,7,4,3,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,4,6,2,1,5,7,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,8,5,1,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,7,3,2,8,5,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,3,5,2,4,7,1,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,2,6,3,7,8,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,1,3,7,8,5,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,1,8,6,2,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,6,1,8,7,2,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,1,6,8,7,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,8,7,3,2,1,4,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,7,6,8,2,1,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,8,1,3,7,5,6,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,7,1,5,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,7,1,5,8,3,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[1,4,7,5,2,3,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,5,7,6,8,3,4,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,5,3,6,8,4,7,2] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[6,5,1,3,8,4,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,4,8,5,3,2,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,3,1,6,8,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,8,1,7,5,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,8,7,5,2,6,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,6,3,4,5,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,4,7,2,3,6,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,2,6,5,8,3,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,3,2,7,5,1,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,5,6,7,2,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,5,2,3,1,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,5,6,4,8,3,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,5,6,4,8,3,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,2,1,7,8,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,4,3,8,6,1,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,1,5,8,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,2,4,5,3,1,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[1,4,3,2,7,5,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,5,2,8,6,3,10,9,7,4] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,1,7,5,2,8,3,10,9,6] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[3,4,1,7,2,8,5,10,9,6] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[3,6,4,1,7,2,8,5,10,9] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[4,1,7,5,2,9,3,10,8,6] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[4,1,9,6,5,2,7,3,10,8] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[3,4,1,7,2,9,5,10,8,6] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[3,6,4,1,8,2,9,5,10,7] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[8,5,4,1,6,2,9,3,10,7] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[8,2,5,1,6,3,9,4,10,7] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[4,8,7,2,6,1,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,8,2,1,7,3,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,8,4,1,7,3,2,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,4,3,2,1,5,8,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[6,5,4,3,7,1,2,8,9] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[6,7,5,9,8,4,3,2,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,5,8,9,7,4,3,2,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,1,7,8,3,2,5,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,1,7,3,4,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,6,3,4,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,8,9,10,1,5,6,3,4,2] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,8,6,1,2,3,4,5,7] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,8,7,6,4,1,2,3,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,7,8,6,2,3,5,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,7,5,6,4,8,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,8,4,7,6,5,3,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[9,8,3,7,6,5,4,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[9,3,8,7,6,5,4,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[9,2,8,7,6,5,4,3,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[10,9,8,5,7,6,4,3,2,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[9,8,4,6,5,7,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[10,9,8,4,7,6,5,3,2,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[9,8,3,6,5,4,7,2,1] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[10,9,4,8,7,6,5,3,2,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[9,3,7,6,5,4,8,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,2,7,6,5,4,3,8,1] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[10,3,9,8,7,6,5,4,2,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[10,2,9,8,7,6,5,4,3,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[7,4,3,1,6,5,2,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,1,2,6,8,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,1,2,4,8,7,5,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,1,2,3,7,8,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,6,7,2,5,8,3,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,8,5,6,2,4,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,8,6,2,4,1,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,7,4,6,3,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,2,7,5,3,4,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,8,1,3,7,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,1,8,2,3,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,8,2,3,6,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,2,5,3,8,1,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,5,7,4,2,8,1,6] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,6,8,5,1,2,3,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,5,7,1,2,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,2,1,6,3,4,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,9,1,10,6,4,2,5,7,8] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,6,1,7,3,2,8,4,5,9] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,1,10,7,4,2,5,3,6,8] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[9,1,10,6,2,7,4,3,5,8] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[9,1,10,5,2,6,3,7,4,8] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[2,11,1,12,9,7,4,3,5,6,8,10] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[8,12,2,1,9,4,3,10,5,6,7,11] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[2,11,1,12,8,4,3,9,5,6,7,10] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[11,6,2,1,12,7,3,8,4,5,9,10] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[3,11,1,12,9,6,4,2,5,7,8,10] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[12,10,7,3,1,8,4,2,5,6,9,11] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[11,3,1,12,9,7,4,2,5,6,8,10] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[11,3,1,12,8,4,2,9,5,6,7,10] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[12,10,7,1,8,5,3,2,4,6,9,11] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[11,1,12,9,6,3,2,7,4,5,8,10] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[11,1,12,7,3,2,8,4,9,5,6,10] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[11,7,1,12,8,4,2,5,3,6,9,10] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[11,1,12,9,7,4,2,5,3,6,8,10] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[8,1,9,2,10,4,3,11,5,12,6,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[10,1,11,5,2,12,6,3,7,4,8,9] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[11,1,12,8,2,9,5,3,6,4,7,10] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[10,1,11,2,12,7,3,8,5,4,6,9] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[8,2,7,5,4,1,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,2,8,5,7,1,6,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,8,1,7,3,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,8,1,5,2,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,1,5,3,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,7,5,4,2,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,8,2,3,6,4,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[9,8,4,5,7,6,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,8,5,4,6,7,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[10,9,8,6,5,7,4,3,2,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[11,10,9,8,5,7,6,4,3,2,1] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[10,9,8,4,5,7,6,3,2,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[9,8,4,5,3,7,6,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[9,8,3,5,7,6,4,2,1] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[9,8,5,4,6,3,7,2,1] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[9,8,4,3,6,7,5,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[10,9,8,5,4,6,7,3,2,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[11,10,9,8,6,5,7,4,3,2,1] => [2,2,2,2,2,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [[[[.,[.,[.,.]]],.],[.,.]],.] => 4

[8,2,7,5,4,6,1,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,7,1,3,2,8,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,7,3,4,2,1,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,8,3,1,5,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,2,3,5,1,8,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,6,5,2,4,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,4,1,3,2,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,4,7,6,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,2,1,6,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,5,2,1,6,7,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,3,8,6,2,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,5,1,6,4,3,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,6,2,8,5,7,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,8,1,5,7,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,1,3,6,4,8,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,1,2,7,5,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,7,2,5,8,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[9,8,7,6,3,2,1,4,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,4,7,3,1,5,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,5,1,8,3,6,4,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,4,7,3,2,1,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,6,5,7,1,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,1,3,4,7,2,6] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[7,2,4,5,3,1,6,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,7,4,6,2,1,8,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,4,1,7,8,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,3,7,6,5,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,4,8,2,3,7,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,2,8,5,4,1,6,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,1,2,3,5,9,6,7,8] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[3,1,2,4,5,6,9,7,8] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[8,1,2,7,3,5,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,7,1,2,6,3,4,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,4,7,2,3,6,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,4,6,7,2,8,5,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[2,4,6,1,7,5,3,8,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[2,4,1,7,5,8,3,9,6] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[2,4,6,8,1,9,7,5,3] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[1,3,4,2,7,8,5,9,10,6] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[1,3,5,6,8,9,4,2,10,7] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[3,5,2,8,1,6,9,4,10,7] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[6,2,3,8,7,1,4,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,3,6,4,7,5,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,2,3,6,4,8,1,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,5,1,3,2,6,8,7] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,3,1,6,2,7,8,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,7,2,4,1,8,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,6,3,2,7,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,7,2,5,4,1,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,1,3,5,4,2,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,8,2,4,5,3,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,2,8,6,5,1,3,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,3,2,4,8,7,1,5] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,3,2,7,4,1,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,3,2,6,5,8,1,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[6,4,7,2,3,8,5,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,8,5,7,4,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,4,3,6,5,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,1,5,6,3,4,8,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[6,1,8,5,4,7,3,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,1,5,4,2,8,3] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[5,3,2,6,8,7,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,6,2,8,7,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,7,6,1,2,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,3,4,10,6,9,8,7,5,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,3,6,5,9,10,8,7,4,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,3,7,5,9,8,10,6,4,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,3,9,5,8,7,6,4,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[2,5,4,9,6,10,8,7,3,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,5,4,9,7,8,10,6,3,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,5,4,8,9,7,6,3,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[2,3,4,10,7,8,9,6,5,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,3,5,7,10,8,9,6,4,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,3,7,6,8,9,10,5,4,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,3,9,6,7,8,5,4,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[2,4,7,5,10,8,9,6,3,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,4,6,7,8,9,10,5,3,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,4,6,9,7,8,5,3,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[2,6,5,8,9,7,10,4,3,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[2,6,5,7,8,9,4,3,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[3,7,4,5,10,8,9,6,2,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,6,4,7,8,9,10,5,2,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,6,4,9,7,8,5,2,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[3,5,6,8,9,7,10,4,2,1] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,5,6,7,8,9,4,2,1,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[7,4,8,6,3,5,1,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,4,3,6,1,8,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,4,7,8,6,1,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,3,5,1,8,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,7,6,2,3,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[3,5,6,7,8,9,2,4,1] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,4,6,7,8,9,1,3,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,5,6,7,8,9,3,1,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,4,7,5,8,6,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,6,8,3,4,2,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,7,6,2,8,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,8,2,7,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,1,7,2,8,5,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[2,5,6,3,7,4,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,6,3,5,4,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,6,1,7,5,3,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,1,5,2,7,4,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,1,4,2,8,5,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[2,4,5,8,7,1,3,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,1,8,7,5,6,4,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,1,8,7,6,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,2,7,5,3,6,4,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,6,7,8,1,9,3,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,5,6,7,8,1,2,9,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[3,6,4,7,5,2,1,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,4,5,2,6,3,1,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[8,6,3,5,4,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,3,7,6,1,5,2,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,4,3,6,1,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,8,4,3,7,2,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,5,8,4,2,1,6,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[1,4,8,7,6,2,5,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,8,5,4,3,6,1,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,5,3,1,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,6,5,3,2,8,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,2,6,5,7,3,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,1,7,4,6,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,5,3,1,2,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,6,1,5,7,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,7,2,1,3,8,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,7,3,1,2,4,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,3,8,6,7,2,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,3,6,1,8,4,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,2,6,4,7,1,5,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,7,1,8,6,5,3,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,8,5,7,2,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,1,8,2,7,5,6,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,5,3,8,1,6,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,6,1,4,2,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,2,6,4,5,1,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,3,2,5,1,6,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,1,7,6,4,8,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,4,7,6,2,1,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,5,2,8,7,1,6,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,7,6,5,4,1,8,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,5,3,1,8,7,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,7,1,8,5,3,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,6,1,7,4,2,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,4,1,2,5,7,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,2,3,1,7,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,4,6,1,8,2,7,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,5,2,7,1,3,8] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[7,5,3,6,2,1,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,4,3,7,1,8,2,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,2,7,6,4,5,8] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,2,7,6,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,5,6,8,1,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,7,1,3,4,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,6,5,3,4,1,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[2,8,6,5,1,3,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,1,8,6,2,7,4,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,4,1,7,2,8,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,6,1,5,7,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,2,3,1,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,2,3,7,8,1,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,8,10,7,6,5,4,3,1,2] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[8,7,9,6,5,4,2,1,3] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[8,9,7,6,5,4,2,1,3] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,6,4,5,7,2,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,5,6,7,3,2,4,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,6,2,5,1,3,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,7,2,6,4,1,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,5,6,1,3,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,6,4,8,5,3,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,8,5,7,4,6,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,6,8,5,4,7,2,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,1,8,3,2,6,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,2,5,4,3,7,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,8,4,3,7,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,5,3,4,7,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,3,8,6,1,2,7,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,2,3,7,1,8,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,7,5,1,3,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,3,2,7,8,5,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,7,6,1,5,3,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,5,8,7,1,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,4,1,7,8,3,2,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,4,7,2,1,3,8,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[2,6,4,5,7,1,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,4,6,1,5,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,4,6,5,2,8,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,6,7,5,8,2,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,5,7,6,4,1,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,1,4,6,2,7,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,3,5,1,2,7,6] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[6,1,3,7,2,8,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,8,5,4,1,7,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,1,5,8,2,6,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,5,2,3,7,1,8,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,2,1,6,4,8,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,1,3,7,5,8,4,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[6,2,4,5,7,1,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,8,7,1,4,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,2,5,4,7,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,2,7,6,1,8,4] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,6,8,2,9,3,10,7,1] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[4,5,10,6,9,3,8,2,7,1] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[4,5,6,8,2,10,7,1,9,3] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[8,2,7,1,9,3,10,4,5,6] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,2,7,1,9,5,4,3,10,6] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[7,1,9,5,4,3,8,2,6,10] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[4,9,3,10,7,1,8,2,5,6] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,7,1,8,2,4,3,9,6,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,7,1,8,3,9,4,2,5,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[4,2,5,10,7,1,8,3,9,6] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,3,2,7,4,6,8,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,2,3,6,7,4,5,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[5,6,4,2,1,7,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,4,7,1,2,5,3,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,2,7,5,8,6,3,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[2,1,9,8,7,6,5,3,4] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[2,1,10,9,8,7,6,5,3,4] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[7,4,5,1,6,8,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[6,3,2,5,7,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,5,1,3,8,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[10,9,7,3,6,1,2,4,8,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,7,3,6,1,2,4,10,8,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[9,6,1,2,4,10,7,3,8,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[8,4,10,9,7,3,6,1,2,5] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,7,3,8,4,9,6,1,2,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[6,1,2,10,7,3,8,4,9,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[6,1,3,10,9,7,2,4,8,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,8,4,9,6,1,3,7,2,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,6,1,3,8,4,10,7,2,5] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,2,6,1,3,10,8,4,9,5] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[10,8,3,6,1,4,9,7,2,5] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[10,9,6,1,4,8,3,7,2,5] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[8,3,9,6,1,4,10,7,2,5] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,3,7,2,6,1,4,10,9,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[8,3,10,7,2,6,1,4,9,5] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[9,4,10,8,3,7,2,6,1,5] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[7,2,8,3,9,4,10,6,1,5] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[12,10,7,1,2,4,9,5,11,8,3,6] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[9,4,12,10,7,1,2,5,11,8,3,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,9,4,8,3,7,1,2,5,12,10,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,4,10,5,12,11,8,3,7,1,2,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[12,8,3,9,4,10,5,11,7,1,2,6] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[12,9,5,11,7,1,3,8,2,4,10,6] => [3,3,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [[[[[.,.],[.,.]],.],[.,.]],.] => 5

[11,9,4,8,2,5,12,10,7,1,3,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,4,12,11,8,2,5,10,7,1,3,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[11,8,2,5,12,9,4,10,7,1,3,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[7,1,3,9,4,11,8,2,5,12,10,6] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[9,4,11,7,1,3,8,2,5,12,10,6] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[12,8,2,5,11,7,1,3,9,4,10,6] => [4,4,3,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [[[.,[[[.,.],.],.]],[.,.]],.] => 3

[12,10,7,1,4,8,2,5,11,9,3,6] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[9,3,7,1,4,11,8,2,5,12,10,6] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[[[.,[.,.]],.],.],.],.] => 5

[9,3,12,8,2,5,11,7,1,4,10,6] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[12,11,9,3,7,1,5,10,4,8,2,6] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[10,4,9,3,7,1,5,12,11,8,2,6] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[4,1,7,8,3,6,5,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,4,2,1,7,3,5,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,4,2,1,3,6,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,3,6,7,8,9,1,2] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[2,4,7,5,1,8,6,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,6,5,7,8,2,4,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,1,2,5,4,3,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,4,3,5,1,7,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,1,7,6,8,2,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,2,6,5,8,3,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[7,3,5,6,1,4,2,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,3,1,6,7,4,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,8,1,7,3,6,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,6,8,5,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,7,1,6,4,2,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,4,1,3,6,7,5,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,5,4,3,2,1,6,7,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[8,3,2,6,5,1,7,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,6,8,4,7,1,3,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,6,1,4,3,2,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,3,7,8,1,2,5,4] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,2,8,1,7,4,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,4,1,3,7,8,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,5,4,3,7,1,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,7,4,8,3,1,2,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,1,2,4,8,3,7,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,5,6,8,1,4,7,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,1,6,5,2,3,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,1,6,5,2,3,8,7] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,5,7,3,4,6,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,8,6,2,4,7,3,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,8,6,2,5,7,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,4,3,2,8,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,5,6,2,4,7,3,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,1,3,6,4,5,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,2,3,7,4,8,5,9,6] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[1,2,6,3,7,4,9,8,5] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[1,5,2,8,6,3,9,7,4] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[1,5,2,6,3,9,8,7,4] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[4,1,7,5,2,9,8,6,3] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[4,1,5,2,9,8,7,6,3] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[1,4,2,9,8,7,6,5,3] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[7,5,3,1,9,8,6,4,2] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[1,2,6,3,9,7,4,10,8,5] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[1,2,6,3,7,4,10,9,8,5] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[1,5,2,6,3,10,9,8,7,4] => [3,3,2,1,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [[[.,[[.,.],.]],[.,[.,.]]],.] => 3

[7,4,1,8,5,2,10,9,6,3] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,1,7,5,2,10,9,8,6,3] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,1,5,2,10,9,8,7,6,3] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[4,3,1,6,2,5,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,3,1,4,7,8,2,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,7,3,1,8,2,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,1,2,5,6,3,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,4,8,1,6,3,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,1,2,5,7,6,8] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,3,2,8,7,1,6,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,3,6,5,2,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,6,3,2,5,1,8,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,3,2,6,5,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[6,8,4,3,5,2,7,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,4,6,5,3,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[3,5,4,6,1,2,8,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,5,1,6,8,7,9,2,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,1,5,9,6,7,4,8] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[3,4,6,5,7,1,2,9,8] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[7,3,5,6,1,8,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,2,8,3,9,10,1,4,5,6] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[7,2,8,9,3,10,4,5,1,6] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[7,2,8,9,10,3,4,5,1,6] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[7,8,2,3,9,10,1,4,5,6] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[7,8,2,9,3,4,10,5,1,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,8,2,9,3,10,4,5,1,6] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[7,8,2,9,10,3,4,5,1,6] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[7,8,9,2,3,10,4,1,5,6] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[7,8,9,2,3,10,1,4,5,6] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[7,8,9,2,10,3,4,1,5,6] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[7,8,9,2,10,3,1,4,5,6] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[8,2,9,10,3,11,12,4,5,1,6,7] => [4,3,2,2,1] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => 2

[8,9,2,3,10,11,4,5,12,6,1,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[8,9,2,10,3,4,11,12,5,6,1,7] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[8,9,2,10,3,11,12,4,5,1,6,7] => [4,4,2,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [[[.,[.,[[.,[.,.]],.]]],.],.] => 3

[8,9,2,10,11,3,4,12,5,1,6,7] => [6,6] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => 3

[8,9,10,2,3,11,4,5,12,1,6,7] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[8,9,10,2,3,11,12,1,4,5,6,7] => [3,3,2,2,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [[[.,[[.,[.,[.,.]]],.]],.],.] => 3

[8,9,10,2,11,3,4,5,12,6,1,7] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[8,9,10,2,11,3,12,4,1,5,6,7] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[8,9,10,11,2,3,12,4,5,6,1,7] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [.,[[[[[.,.],[.,.]],.],.],.]] => 2

[8,9,10,11,2,12,3,4,5,6,1,7] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [.,[[[.,[[[.,.],.],.]],.],.]] => 2

[8,9,10,11,12,2,3,1,4,5,6,7] => [5,5,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[.,[[.,.],.]]]],.],.] => 3

[5,7,4,3,6,2,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,9,8,5,7,4,1,3,2] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[1,9,5,2,3,8,4,6,7] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,8,2,9,4,3,5,6,7] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[1,3,2,4,9,8,5,6,7] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[9,1,7,2,3,4,5,8,6] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[9,8,1,2,3,5,6,4,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[1,5,2,9,3,10,4,6,7,8] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[1,4,2,3,9,5,6,8,7] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[1,8,3,9,4,2,5,6,7] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[2,3,1,4,9,8,5,6,7] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[8,5,6,1,3,2,7,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,3,7,8,2,6,1,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,7,5,2,3,6,8,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,4,1,2,5,7,8] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,1,3,2,5,8,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,7,1,3,2,6,8,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,8,5,2,3,6,1,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,5,4,2,8,1,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,6,5,1,7,8,2,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,7,1,3,2,8,5,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[3,6,5,1,8,2,4,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,5,2,3,7,4,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,3,1,5,4,8,2,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,7,5,3,4,8,6,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,2,3,4,7,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,7,3,2,6,4,5,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,8,5,7,2,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,5,1,2,7,6,4,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,8,5,6,2,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[7,4,3,6,2,5,8,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,3,1,6,5,7,4] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[8,4,2,7,1,3,6,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,4,2,3,1,6,7,5] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,7,2,3,6,5,8,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[10,9,8,6,7,5,4,3,2,1] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[8,3,6,1,7,4,5,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,1,2,6,4,8,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[3,5,1,8,6,2,4,7] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[8,7,5,6,4,3,2,1,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,8,7,6,4,3,5,2,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[8,5,6,7,4,3,2,1,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,8,7,6,4,3,5,1,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[9,8,7,6,4,5,2,3,1] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,8,7,6,5,3,4,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,8,7,5,4,6,2,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[8,1,6,7,4,5,3,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,6,4,7,5,3,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,6,4,3,5,8,2,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,7,1,8,6,3,2,4] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,6,5,4,2,3,1,9] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,10,9,8,6,5,7,4,3,2] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[2,9,8,6,5,7,4,3,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[6,8,7,3,4,2,5,1] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[5,7,3,6,4,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,7,5,6,4,1,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[9,8,6,5,4,3,7,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[2,8,5,7,3,4,6,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,5,2,6,3,1,7,8,9] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[2,5,4,7,8,6,3,1,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[4,6,2,5,8,3,7,1,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[5,6,2,3,7,4,1,8,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[5,7,2,3,6,9,4,8,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[4,6,7,8,3,1,5,2,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[6,7,2,3,4,8,5,1,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[5,7,8,3,9,4,1,6,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[7,8,2,3,4,5,9,6,1] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,7,2,3,6,9,4,8,1,10] => [4,4,1,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => 3

[2,7,4,9,6,3,10,8,5,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[4,6,8,7,3,9,10,5,2,1] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[6,8,2,3,4,7,10,5,9,1] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,7,8,3,9,4,1,6,2,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[6,8,9,3,4,10,5,1,7,2] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[2,1,3,8,5,4,6,7] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,8,6,3,2,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,1,2,5,3,8,4,6] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,5,8,2,4,3,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,5,3,4,6,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,8,7,2,4,3,6,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,7,2,3,5,4,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,8,7,1,2,5,3,6] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,7,2,6,1,4,3,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,1,7,3,8,2,4,5] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[1,8,5,7,4,6,3,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[1,7,2,8,6,5,3,4] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[4,8,2,7,5,1,6,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,4,6,7,1,5,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[3,8,5,1,4,2,6,7] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[1,7,6,2,5,3,8,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[9,7,6,5,4,3,2,8,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,[.,.]],.],[.,.]],.] => 4

[1,3,2,5,7,4,6,9,8] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,9,8,5,6,7,4,3,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[1,9,8,5,4,6,7,3,2] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[3,1,2,5,7,6,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,1,7,3,2,6,8,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,7,2,4,3,5,6,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,2,4,3,5,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,2,4,7,3,5,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,6,2,8,4,5,1,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[6,8,1,5,7,3,2,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,8,7,2,5,4,3] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[5,8,7,4,6,3,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,5,8,4,7,2,1,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,1,6,2,5,7,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,1,2,4,7,3,5] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[8,3,7,6,2,5,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[4,6,1,3,5,8,2,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[4,5,1,3,8,7,2,6] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,2,7,1,8,3,4,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,8,5,1,4,7,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,4,7,6,1,8,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[10,8,9,7,6,5,4,3,2,1] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[7,4,5,8,6,3,2,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,6,3,2,1,4,9,7,5] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[8,6,4,9,7,5,2,1,3] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[10,8,6,4,2,1,9,7,5,3] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[9,6,7,8,5,4,3,2,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,7,8,4,3,2,1,5,6] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[9,7,4,3,2,1,5,10,8,6] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[10,8,6,11,9,7,5,4,3,2,1] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[8,6,9,7,3,2,1,4,5] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,7,5,2,3,8,6,4,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[11,9,7,5,3,2,1,10,8,6,4] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[8,6,4,9,7,5,1,2,3] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[10,8,6,4,2,11,9,7,5,3,1] => [5,5,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => 3

[2,5,1,6,3,7,4,8,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[3,4,6,1,7,2,8,5,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,2,6,1,7,4,8,5,9] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[4,2,5,7,1,8,3,9,6] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,4,2,7,1,8,5,9,6] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[4,6,2,7,5,8,1,9,3] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[4,5,6,7,1,8,2,9,3,10] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,2,6,7,8,1,9,3,10,4] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[5,4,6,3,7,2,9,1,10,8] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[9,8,7,6,5,2,3,4,1] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[6,1,7,8,9,2,3,4,5] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[5,6,7,8,9,11,1,2,3,4,10] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[4,5,6,7,1,9,2,3,8] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[3,5,6,7,9,1,2,4,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[5,1,6,7,8,2,9,3,4] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[4,1,6,7,8,9,2,3,5] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[5,1,6,7,8,9,10,2,3,4] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[6,1,7,8,9,10,11,2,3,4,5] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[7,4,1,3,6,8,2,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,8,1,2,7,3,4,5] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,2,8,7,3,4,5] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[3,8,1,2,4,7,6,5] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,4,5,7,3,6,8,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,2,7,3,5,8,1,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,4,2,8,6,3,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[2,3,7,4,8,1,6,5] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,3,2,6,8,4,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[8,4,2,6,7,3,5,1] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[4,1,5,7,8,6,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,8,5,7,6,3,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[7,4,1,6,2,5,8,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[2,3,1,5,6,8,9,4,7] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[5,6,2,4,8,7,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,5,6,2,3,7,4,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,6,7,8,9,1,3,4,2] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[6,7,8,9,1,3,4,5,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[6,7,8,9,1,5,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[7,8,9,1,4,5,6,2,3] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[7,8,9,1,4,5,6,3,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[7,8,9,1,5,6,4,3,2] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[7,8,9,1,6,5,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[8,9,1,5,6,7,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[8,9,1,6,7,4,5,2,3] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[8,9,1,6,7,4,5,3,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[8,9,1,6,7,5,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[9,1,7,8,5,6,3,4,2] => [3,2,2,1,1] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 2

[9,1,7,8,5,6,4,3,2] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[5,6,7,8,9,10,1,4,3,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[7,8,9,10,1,4,5,6,3,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[7,8,9,10,1,5,6,4,3,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[[.,[.,[[.,.],.]]],.],.] => 3

[7,8,9,10,1,6,5,4,3,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[8,9,10,1,4,5,6,7,3,2] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,9,10,1,6,7,4,5,3,2] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[8,9,10,1,6,7,5,4,3,2] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[8,9,10,1,7,6,5,4,3,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[9,10,1,6,7,8,3,4,5,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,10,1,6,7,8,4,5,2,3] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[9,10,1,6,7,8,4,5,3,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,10,1,6,7,8,5,4,3,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[[.,[[.,[.,.]],.]],.],.] => 3

[9,10,1,7,8,5,6,4,3,2] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,10,1,7,8,6,5,4,3,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[10,1,8,9,6,7,5,4,3,2] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[10,1,8,9,7,6,5,4,3,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[1,2,6,7,8,3,5,4] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[7,1,2,6,5,8,3,4] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[5,4,8,7,6,3,2,1,9] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[4,5,8,7,6,3,1,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,5,9,8,7,4,3,1,2] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,7,4,6,5,3,1,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,1,4,3,6,2,5,7] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[1,6,3,7,8,4,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,1,3,8,6,4,5,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,1,4,3,5,8,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,1,5,4,6,3,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[1,7,5,4,3,8,2,6] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,.]]],.] => 4

[4,5,8,1,7,3,2,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[4,6,7,1,3,8,2,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[2,3,4,5,6,1,8,9,7] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[2,3,4,5,1,7,8,9,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,7,3,4,1,8,5,6] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[2,3,4,5,1,7,8,9,10,6] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[7,4,8,5,3,6,1,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,4,6,5,1,3,7,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,5,3,8,7,1,2,6] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[8,2,3,5,4,1,7,6] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,7,2,4,1,3,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,6,3,7,4,9,8,1] => [4,3,1,1] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => 2

[4,2,7,3,8,5,9,6,1] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[8,5,2,4,6,3,1,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,1,2,8,5,6,3] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[8,6,2,3,5,7,4,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,6,2,5,7,3,4,1] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,3,4,8,5,1,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[8,5,1,2,7,4,6,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[1,6,7,5,4,8,2,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,5,6,9,2,1,8,7] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,4,7,2,8,9,1,5,6] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[5,2,6,7,8,9,1,4,3] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,4,5,6,7,8,9,11,1,10,2] => [5,5,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => 3

[3,4,5,6,7,8,10,11,1,9,2] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[3,4,5,6,9,2,10,1,8,7] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[3,4,7,8,5,9,1,2,6] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[3,6,7,4,8,9,1,5,2] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[3,4,8,2,5,9,1,7,6] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[5,6,3,7,8,9,1,4,2] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[3,7,2,4,8,9,1,5,6] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[5,2,6,7,8,9,10,1,3,4] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[3,5,6,7,8,9,10,11,1,4,2] => [4,4,3] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[[.,[[[.,.],.],.]],.],.] => 3

[8,9,7,6,5,4,1,3,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,7,8,6,5,4,1,3,2] => [4,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 3

[9,10,8,7,6,5,4,1,3,2] => [4,2,2,2] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [.,[.,[[[[.,[.,.]],.],.],.]]] => 3

[10,8,7,6,5,4,3,2,9,1] => [2,2,2,2,1,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [[[[.,[.,.]],.],[.,[.,.]]],.] => 4

[2,3,1,4,5,6,9,7,8] => [3,3,1,1,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => 3

[4,1,5,7,3,6,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,4,5,7,6,8,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[2,6,3,1,7,8,5,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[6,2,5,7,4,1,8,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,6,1,8,7,4,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[7,8,4,5,6,1,3,9,2] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[6,8,4,5,1,3,7,9,2] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[4,7,1,3,5,6,8,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,3,2,7,6,4,1,8] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,7,3,2,1,8,6,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,2,7,5,4,1,8,6] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,3,5,4,2,6,8] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[5,3,7,4,1,8,6,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,8,3,6,2,4,7,5] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,8,7,5,6,4,2,3] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[6,8,2,1,5,4,3,7] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[10,9,1,2,8,7,3,4,5,6] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[9,8,1,10,7,2,3,4,5,6] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[10,11,1,2,3,9,8,4,5,6,7] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[9,8,1,10,11,2,3,4,5,6,7] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[11,8,9,10,1,2,3,4,5,6,7] => [6,5] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => 2

[6,3,2,1,5,8,4,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[4,3,5,6,2,8,1,7] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[6,3,5,2,7,8,4,1] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[4,5,3,1,6,8,2,7] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,4,6,7,5,1,8,2] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [.,[[[.,[.,.]],[.,.]],.]] => 2

[7,4,1,2,5,6,8,3] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[4,8,2,6,7,1,5,3] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[6,5,8,3,7,1,4,2] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[9,7,1,8,2,3,4,5,6] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[8,5,1,9,6,2,7,3,4] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[9,8,5,1,6,2,7,3,4] => [5,3,1] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => 3

[9,7,5,1,8,6,2,3,4] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[[.,[[.,.],.]],[.,.]],.] => 3

[9,8,7,5,1,6,2,3,4] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => 3

[9,7,4,1,8,5,2,6,3] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[10,8,6,1,9,7,2,3,4,5] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[[.,[.,[.,[.,.]]]],.],.] => 3

[10,9,8,6,1,7,2,3,4,5] => [5,3,2] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [.,[.,[[[.,[[.,.],.]],.],.]]] => 3

[9,5,1,10,6,2,7,3,8,4] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[10,8,5,1,9,6,2,7,3,4] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[[[.,.],.],.],[.,.]],.] => 5

[10,9,8,5,1,6,2,7,3,4] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[9,7,5,1,10,8,6,2,3,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,7,5,1,8,6,2,3,4] => [6,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => 3

[10,9,8,7,5,1,6,2,3,4] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[10,9,7,4,1,8,5,2,6,3] => [5,4,1] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => 2

[8,1,9,3,2,4,6,5,7] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [.,[[[.,[.,[.,.]]],.],.]] => 2

[2,5,4,7,1,8,3,6] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],.] => 3

[5,6,7,8,10,9,4,3,2,1] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[6,5,7,8,9,10,4,3,2,1] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [.,[[[[[.,.],.],.],.],.]] => 2

[1,3,8,6,7,4,5,2] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [.,[[[[.,.],.],[.,.]],.]] => 2

[2,6,5,3,7,1,8,4] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[5,7,1,3,6,4,8,2] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[8,1,7,6,4,2,3,5] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[5,8,3,4,2,7,6,1] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[3,5,6,8,2,4,7,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[5,2,3,8,6,1,4,7] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[4,5,8,7,2,3,6,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[7,8,6,1,4,2,5,3] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[9,8,3,4,5,7,6,2,1] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[9,8,4,3,5,6,7,2,1] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[9,3,4,5,6,2,8,7,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[9,3,2,5,6,7,8,4,1] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[7,8,6,1,4,3,5,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[[[[.,.],.],.],.]]] => 3

[1,6,5,7,3,4,8,2] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[1,7,5,6,8,4,9,3,10,2] => [4,3,2,1] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [.,[[[.,[[.,.],.]],[.,.]],.]] => 2

[7,6,4,1,2,5,8,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[[.,[.,.]],.],.]]] => 3

[3,7,1,2,4,5,6,9,8] => [5,2,2] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 4

[3,1,2,6,9,4,5,7,8] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[[.,[[.,.],.]],.],.]] => 2

[4,6,1,2,3,5,9,7,8] => [6,3] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => 4

[1,7,8,6,2,5,4,3] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,5,3,6,8,4,2,1] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[7,4,6,2,8,5,3,1] => [6,2] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 5

[9,7,6,5,4,3,8,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[9,8,6,5,4,7,3,2,1] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,[.,.]],.],.],.]] => 2

[5,4,3,2,1,9,7,8,6] => [2,2,2,1,1,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

[10,8,7,6,5,4,3,9,2,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[10,9,7,6,5,4,8,3,2,1] => [3,2,2,2,1] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [.,[[[[.,[.,.]],.],[.,.]],.]] => 2

[1,6,3,4,2,5,8,7] => [3,2,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 2

[1,5,7,6,2,3,8,4] => [5,2,1] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

[3,7,4,6,8,1,5,2] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],.] => 3

[4,8,3,1,7,6,2,5] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

[5,6,1,4,3,8,7,2] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[[.,[.,.]],[.,[.,.]]],.] => 3

[5,8,6,4,3,1,7,2] => [4,2,1,1] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 3

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$F_{1} = q$

$F_{2} = 2\ q^{2}$

$F_{3} = 4\ q^{2} + 2\ q^{3}$

$F_{4} = 7\ q^{2} + 11\ q^{3} + 6\ q^{4}$

$F_{5} = 31\ q^{2} + 35\ q^{3} + 30\ q^{4} + 24\ q^{5}$

$F_{6} = 136\ q^{2} + 215\ q^{3} + 105\ q^{4} + 144\ q^{5} + 120\ q^{6}$

$F_{7} = 1072\ q^{2} + 1085\ q^{3} + 819\ q^{4} + 504\ q^{5} + 840\ q^{6} + 720\ q^{7}$

Description

The number of external nodes of a binary tree.
That is, the number of nodes that can be reached from the root by only left steps or only right steps, plus

$1$ for the root node itself. A counting formula for the number of external node in all binary trees of size

$n$ can be found in [1].

Map

to binary tree: up step, left tree, down step, right tree

Description

Return the binary tree corresponding to the Dyck path under the transformation up step - left tree - down step - right tree.
A Dyck path

$D$ of semilength

$n$ with

$n > 1$ may be uniquely decomposed into

$1L0R$ for Dyck paths L,R of respective semilengths

$n_1, n_2$ with

$n_1 + n_2 = n-1$ .
This map sends

$D$ to the binary tree

$T$ consisting of a root node with a left child according to

$L$ and a right child according to

$R$ and then recursively proceeds.
The base case of the unique Dyck path of semilength

$1$ is sent to a single node.

Map

parallelogram polyomino

Description

Return the Dyck path corresponding to the partition interpreted as a parallogram polyomino.
The Ferrers diagram of an integer partition can be interpreted as a parallogram polyomino, such that each part corresponds to a column.
This map returns the corresponding Dyck path.

Map

cycle type

Description

The cycle type of a permutation as a partition.