- FindStat

Identifier

Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00204: Permutations —LLPS⟶ Integer partitions
St000147: Integer partitions ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 25294 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [2,1,1,1,1] => 2

[6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [4,1,1] => 4

[6,3,1,2,5,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,1,1,1] => 3

[6,3,1,4,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1] => 3

[6,3,1,4,5,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,1,1,1] => 3

[6,3,1,5,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1] => 3

[6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,1,1,1,1] => 2

[6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,1,1,1] => 3

[6,3,2,1,5,4] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,1,1,1,1] => 2

[6,3,2,4,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => 2

[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [3,1,1,1] => 3

[6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => 2

[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,1,1,1,1] => 2

[6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [3,2,1] => 3

[6,3,4,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [2,2,1,1] => 2

[6,3,4,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,2,1,1] => 2

[6,3,4,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,2,1,1] => 2

[6,3,4,5,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [3,2,1] => 3

[6,3,4,5,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [3,1,1,1] => 3

[6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [3,2,1] => 3

[6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [2,2,1,1] => 2

[6,3,5,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,2,1,1] => 2

[6,3,5,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,2,1,1] => 2

[6,3,5,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [2,2,1,1] => 2

[6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [2,1,1,1,1] => 2

[6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [4,1,1] => 4

[6,4,1,2,5,3] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,1,1,1] => 3

[6,4,1,3,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1] => 3

[6,4,1,3,5,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,1,1,1] => 3

[6,4,1,5,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1] => 3

[6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,1,1,1,1] => 2

[6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,1,1,1] => 3

[6,4,2,1,5,3] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,1,1,1,1] => 2

[6,4,2,3,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => 2

[6,4,2,3,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [3,1,1,1] => 3

[6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => 2

[6,4,2,5,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,1,1,1,1] => 2

[6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,1,1,1] => 3

[6,4,3,1,5,2] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,1,1,1,1] => 2

[6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,1,1,1,1] => 2

[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,1,1,1,1] => 2

[6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => 2

[6,4,3,5,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,1,1,1,1] => 2

[6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [3,2,1] => 3

[6,4,5,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [2,2,1,1] => 2

[6,4,5,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,2,1,1] => 2

[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,2,1,1] => 2

[6,4,5,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,2,1,1] => 2

[6,4,5,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,1,1,1,1] => 2

[6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [4,1,1] => 4

[6,5,1,2,4,3] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,1,1,1] => 3

[6,5,1,3,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1] => 3

[6,5,1,3,4,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,1,1,1] => 3

[6,5,1,4,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,1,1,1] => 3

[6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,1,1,1,1] => 2

[6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,1,1,1] => 3

[6,5,2,1,4,3] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,1,1,1,1] => 2

[6,5,2,3,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => 2

[6,5,2,3,4,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [3,1,1,1] => 3

[6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => 2

[6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,1,1,1,1] => 2

[6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,1,1,1] => 3

[6,5,3,1,4,2] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,1,1,1,1] => 2

[6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,1,1,1,1] => 2

[6,5,3,2,4,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,1,1,1,1] => 2

[6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,2,1,1] => 2

[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,1,1,1,1] => 2

[6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,1,1,1] => 3

[6,5,4,1,3,2] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,1,1,1,1] => 2

[6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,1,1,1,1] => 2

[6,5,4,2,3,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,1,1,1,1] => 2

[6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,1,1,1,1] => 2

[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => 1

[1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7] => 7

[1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,1] => 6

[1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [6,1] => 6

[1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,1] => 6

[1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [6,1] => 6

[1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,1,1] => 5

[1,2,3,5,4,6,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [6,1] => 6

[1,2,3,5,4,7,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [5,1,1] => 5

[1,2,3,5,6,4,7] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [5,2] => 5

[1,2,3,5,6,7,4] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,1] => 6

[1,2,3,5,7,4,6] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [5,2] => 5

[1,2,3,5,7,6,4] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,1,1] => 5

[1,2,3,6,4,5,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [6,1] => 6

[1,2,3,6,4,7,5] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [5,1,1] => 5

[1,2,3,6,5,4,7] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [5,1,1] => 5

[1,2,3,6,5,7,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [5,1,1] => 5

[1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [5,2] => 5

[1,2,3,6,7,5,4] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,1,1] => 5

[1,2,3,7,4,5,6] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [6,1] => 6

[1,2,3,7,4,6,5] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [5,1,1] => 5

[1,2,3,7,5,4,6] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [5,1,1] => 5

[1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [5,1,1] => 5

[1,2,3,7,6,4,5] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [5,1,1] => 5

[1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,1,1,1] => 4

[1,2,4,3,5,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [6,1] => 6

[1,2,4,3,5,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [5,1,1] => 5

[1,2,4,3,6,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1] => 5

[1,2,4,3,6,7,5] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [5,1,1] => 5

[1,2,4,3,7,5,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1] => 5

[1,2,4,3,7,6,5] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [4,1,1,1] => 4

[1,2,4,5,3,6,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [5,2] => 5

[1,2,4,5,3,7,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,2,1] => 4

[1,2,4,5,6,3,7] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [5,2] => 5

[1,2,4,5,6,7,3] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,1] => 6

[1,2,4,5,7,3,6] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [5,2] => 5

[1,2,4,5,7,6,3] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,1,1] => 5

[1,2,4,6,3,5,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [5,2] => 5

[1,2,4,6,3,7,5] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,2,1] => 4

[1,2,4,6,5,3,7] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [4,2,1] => 4

[1,2,4,6,5,7,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [5,1,1] => 5

[1,2,4,6,7,3,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [5,2] => 5

[1,2,4,6,7,5,3] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,1,1] => 5

[1,2,4,7,3,5,6] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [5,2] => 5

[1,2,4,7,3,6,5] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,2,1] => 4

[1,2,4,7,5,3,6] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [4,2,1] => 4

[1,2,4,7,5,6,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [5,1,1] => 5

[1,2,4,7,6,3,5] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [4,2,1] => 4

[1,2,4,7,6,5,3] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,1,1,1] => 4

[1,2,5,3,4,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [6,1] => 6

[1,2,5,3,4,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [5,1,1] => 5

[1,2,5,3,6,4,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1] => 5

[1,2,5,3,6,7,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [5,1,1] => 5

[1,2,5,3,7,4,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1] => 5

[1,2,5,3,7,6,4] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [4,1,1,1] => 4

[1,2,5,4,3,6,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [5,1,1] => 5

[1,2,5,4,3,7,6] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [4,1,1,1] => 4

[1,2,5,4,6,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1] => 4

[1,2,5,4,6,7,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [5,1,1] => 5

[1,2,5,4,7,3,6] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1] => 4

[1,2,5,4,7,6,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [4,1,1,1] => 4

[1,2,5,6,3,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [5,2] => 5

[1,2,5,6,3,7,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,2,1] => 4

[1,2,5,6,4,3,7] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,2,1] => 4

[1,2,5,6,4,7,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [4,2,1] => 4

[1,2,5,6,7,3,4] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [5,2] => 5

[1,2,5,6,7,4,3] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,1,1] => 5

[1,2,5,7,3,4,6] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [5,2] => 5

[1,2,5,7,3,6,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,2,1] => 4

[1,2,5,7,4,3,6] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,2,1] => 4

[1,2,5,7,4,6,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [4,2,1] => 4

[1,2,5,7,6,3,4] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [4,2,1] => 4

[1,2,5,7,6,4,3] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,1,1,1] => 4

[1,2,6,3,4,5,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [6,1] => 6

[1,2,6,3,4,7,5] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [5,1,1] => 5

[1,2,6,3,5,4,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1] => 5

[1,2,6,3,5,7,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [5,1,1] => 5

[1,2,6,3,7,4,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1] => 5

[1,2,6,3,7,5,4] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [4,1,1,1] => 4

[1,2,6,4,3,5,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [5,1,1] => 5

[1,2,6,4,3,7,5] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [4,1,1,1] => 4

[1,2,6,4,5,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1] => 4

[1,2,6,4,5,7,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [5,1,1] => 5

[1,2,6,4,7,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1] => 4

[1,2,6,4,7,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [4,1,1,1] => 4

[1,2,6,5,3,4,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [5,1,1] => 5

[1,2,6,5,3,7,4] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [4,1,1,1] => 4

[1,2,6,5,4,3,7] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [4,1,1,1] => 4

[1,2,6,5,4,7,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [4,1,1,1] => 4

[1,2,6,5,7,3,4] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1] => 4

[1,2,6,5,7,4,3] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [4,1,1,1] => 4

[1,2,6,7,3,4,5] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [5,2] => 5

[1,2,6,7,3,5,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,2,1] => 4

[1,2,6,7,4,3,5] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,2,1] => 4

[1,2,6,7,4,5,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [4,2,1] => 4

[1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,2,1] => 4

[1,2,6,7,5,4,3] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,1,1,1] => 4

[1,2,7,3,4,5,6] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [6,1] => 6

[1,2,7,3,4,6,5] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [5,1,1] => 5

[1,2,7,3,5,4,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1] => 5

[1,2,7,3,5,6,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [5,1,1] => 5

[1,2,7,3,6,4,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [5,1,1] => 5

[1,2,7,3,6,5,4] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [4,1,1,1] => 4

[1,2,7,4,3,5,6] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [5,1,1] => 5

[1,2,7,4,3,6,5] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [4,1,1,1] => 4

[1,2,7,4,5,3,6] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1] => 4

[1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [5,1,1] => 5

[1,2,7,4,6,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1] => 4

[1,2,7,4,6,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [4,1,1,1] => 4

[1,2,7,5,3,4,6] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [5,1,1] => 5

[1,2,7,5,3,6,4] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [4,1,1,1] => 4

[1,2,7,5,4,3,6] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [4,1,1,1] => 4

[1,2,7,5,4,6,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [4,1,1,1] => 4

[1,2,7,5,6,3,4] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [4,2,1] => 4

[1,2,7,5,6,4,3] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [4,1,1,1] => 4

[1,2,7,6,3,4,5] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [5,1,1] => 5

[1,2,7,6,3,5,4] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [4,1,1,1] => 4

[1,2,7,6,4,3,5] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [4,1,1,1] => 4

[1,2,7,6,4,5,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [4,1,1,1] => 4

[1,2,7,6,5,3,4] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [4,1,1,1] => 4

[1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,1,1,1,1] => 3

[1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [6,1] => 6

[1,3,2,4,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,1,1] => 5

[1,3,2,4,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,3,2,4,6,7,5] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [5,1,1] => 5

[1,3,2,4,7,5,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,3,2,4,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [4,1,1,1] => 4

[1,3,2,5,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,3,2,5,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,3,2,5,6,4,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,3,2,5,6,7,4] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [5,1,1] => 5

[1,3,2,5,7,4,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,3,2,5,7,6,4] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,1,1,1] => 4

[1,3,2,6,4,5,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,3,2,6,4,7,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,3,2,6,5,4,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,3,2,6,5,7,4] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,3,2,6,7,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,3,2,6,7,5,4] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,1,1,1] => 4

[1,3,2,7,4,5,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,3,2,7,4,6,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,3,2,7,5,4,6] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,3,2,7,5,6,4] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,3,2,7,6,4,5] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,3,2,7,6,5,4] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [3,1,1,1,1] => 3

[1,3,4,2,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,3,4,2,5,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,3,4,2,6,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,3,4,2,6,7,5] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,3,4,2,7,5,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,3,4,2,7,6,5] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,3,4,5,2,6,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,3,4,5,2,7,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,3,4,5,6,2,7] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,2] => 5

[1,3,4,5,6,7,2] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,1] => 6

[1,3,4,5,7,2,6] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,2] => 5

[1,3,4,5,7,6,2] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,1,1] => 5

[1,3,4,6,2,5,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,3,4,6,2,7,5] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,3,4,6,5,2,7] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,2,1] => 4

[1,3,4,6,5,7,2] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [5,1,1] => 5

[1,3,4,6,7,2,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,2] => 5

[1,3,4,6,7,5,2] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,1,1] => 5

[1,3,4,7,2,5,6] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,3,4,7,2,6,5] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,3,4,7,5,2,6] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,2,1] => 4

[1,3,4,7,5,6,2] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [5,1,1] => 5

[1,3,4,7,6,2,5] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,2,1] => 4

[1,3,4,7,6,5,2] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,1,1,1] => 4

[1,3,5,2,4,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,3,5,2,4,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,3,5,2,6,4,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,3,5,2,6,7,4] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,3,5,2,7,4,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,3,5,2,7,6,4] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,3,5,4,2,6,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,3,5,4,2,7,6] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,3,5,4,6,2,7] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,3,5,4,6,7,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [5,1,1] => 5

[1,3,5,4,7,2,6] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,3,5,4,7,6,2] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [4,1,1,1] => 4

[1,3,5,6,2,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,3,5,6,2,7,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,3,5,6,4,2,7] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,2,1] => 4

[1,3,5,6,4,7,2] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [4,2,1] => 4

[1,3,5,6,7,2,4] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,2] => 5

[1,3,5,6,7,4,2] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,1,1] => 5

[1,3,5,7,2,4,6] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,3,5,7,2,6,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,3,5,7,4,2,6] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,2,1] => 4

[1,3,5,7,4,6,2] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [4,2,1] => 4

[1,3,5,7,6,2,4] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,2,1] => 4

[1,3,5,7,6,4,2] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,1,1,1] => 4

[1,3,6,2,4,5,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,3,6,2,4,7,5] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,3,6,2,5,4,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,3,6,2,5,7,4] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,3,6,2,7,4,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,3,6,2,7,5,4] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,3,6,4,2,5,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,3,6,4,2,7,5] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,3,6,4,5,2,7] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,3,6,4,5,7,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [5,1,1] => 5

[1,3,6,4,7,2,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,3,6,4,7,5,2] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [4,1,1,1] => 4

[1,3,6,5,2,4,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,3,6,5,2,7,4] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,3,6,5,4,2,7] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,2,1,1] => 3

[1,3,6,5,4,7,2] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [4,1,1,1] => 4

[1,3,6,5,7,2,4] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,3,6,5,7,4,2] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [4,1,1,1] => 4

[1,3,6,7,2,4,5] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,3,6,7,2,5,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,3,6,7,4,2,5] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,2,1] => 4

[1,3,6,7,4,5,2] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [4,2,1] => 4

[1,3,6,7,5,2,4] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,2,1] => 4

[1,3,6,7,5,4,2] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,1,1,1] => 4

[1,3,7,2,4,5,6] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,3,7,2,4,6,5] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,3,7,2,5,4,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,3,7,2,5,6,4] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,3,7,2,6,4,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,3,7,2,6,5,4] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,3,7,4,2,5,6] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,3,7,4,2,6,5] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,3,7,4,5,2,6] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,3,7,4,5,6,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [5,1,1] => 5

[1,3,7,4,6,2,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,3,7,4,6,5,2] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [4,1,1,1] => 4

[1,3,7,5,2,4,6] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,3,7,5,2,6,4] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,3,7,5,4,2,6] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,2,1,1] => 3

[1,3,7,5,4,6,2] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [4,1,1,1] => 4

[1,3,7,5,6,2,4] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,3,7,5,6,4,2] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [4,1,1,1] => 4

[1,3,7,6,2,4,5] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,3,7,6,2,5,4] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,3,7,6,4,2,5] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,2,1,1] => 3

[1,3,7,6,4,5,2] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [4,1,1,1] => 4

[1,3,7,6,5,2,4] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,2,1,1] => 3

[1,3,7,6,5,4,2] => [.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,1,1,1,1] => 3

[1,4,2,3,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [6,1] => 6

[1,4,2,3,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,1,1] => 5

[1,4,2,3,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,4,2,3,6,7,5] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [5,1,1] => 5

[1,4,2,3,7,5,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,4,2,3,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [4,1,1,1] => 4

[1,4,2,5,3,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,4,2,5,3,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,4,2,5,6,3,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,4,2,5,6,7,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [5,1,1] => 5

[1,4,2,5,7,3,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,4,2,5,7,6,3] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,1,1,1] => 4

[1,4,2,6,3,5,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,4,2,6,3,7,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,4,2,6,5,3,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,4,2,6,5,7,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,4,2,6,7,3,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,4,2,6,7,5,3] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,1,1,1] => 4

[1,4,2,7,3,5,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,4,2,7,3,6,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,4,2,7,5,3,6] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,4,2,7,5,6,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,4,2,7,6,3,5] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,4,2,7,6,5,3] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [3,1,1,1,1] => 3

[1,4,3,2,5,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,4,3,2,5,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,4,3,2,6,5,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,4,3,2,6,7,5] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,4,3,2,7,5,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,4,3,2,7,6,5] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,4,3,5,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,4,3,5,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,4,3,5,6,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,4,3,5,6,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [5,1,1] => 5

[1,4,3,5,7,2,6] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,4,3,5,7,6,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [4,1,1,1] => 4

[1,4,3,6,2,5,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,4,3,6,2,7,5] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,4,3,6,5,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,4,3,6,5,7,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 4

[1,4,3,6,7,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,4,3,6,7,5,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [4,1,1,1] => 4

[1,4,3,7,2,5,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,4,3,7,2,6,5] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,4,3,7,5,2,6] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,4,3,7,5,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 4

[1,4,3,7,6,2,5] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,4,3,7,6,5,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [3,1,1,1,1] => 3

[1,4,5,2,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,4,5,2,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,4,5,2,6,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,4,5,2,6,7,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,4,5,2,7,3,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,4,5,2,7,6,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,4,5,3,2,6,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,4,5,3,2,7,6] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,4,5,3,6,2,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,4,5,3,6,7,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1] => 4

[1,4,5,3,7,2,6] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,4,5,3,7,6,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,1,1] => 3

[1,4,5,6,2,3,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,4,5,6,2,7,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,4,5,6,3,2,7] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,2,1] => 4

[1,4,5,6,3,7,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,2,1] => 4

[1,4,5,6,7,2,3] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,2] => 5

[1,4,5,6,7,3,2] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,1,1] => 5

[1,4,5,7,2,3,6] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,4,5,7,2,6,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,4,5,7,3,2,6] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,2,1] => 4

[1,4,5,7,3,6,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,2,1] => 4

[1,4,5,7,6,2,3] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,2,1] => 4

[1,4,5,7,6,3,2] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,1,1,1] => 4

[1,4,6,2,3,5,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,4,6,2,3,7,5] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,4,6,2,5,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,4,6,2,5,7,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,4,6,2,7,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,4,6,2,7,5,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,4,6,3,2,5,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,4,6,3,2,7,5] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,4,6,3,5,2,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,4,6,3,5,7,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1] => 4

[1,4,6,3,7,2,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,4,6,3,7,5,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,1,1] => 3

[1,4,6,5,2,3,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,4,6,5,2,7,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,4,6,5,3,2,7] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,2,1,1] => 3

[1,4,6,5,3,7,2] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [3,2,1,1] => 3

[1,4,6,5,7,2,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,4,6,5,7,3,2] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [4,1,1,1] => 4

[1,4,6,7,2,3,5] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,4,6,7,2,5,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,4,6,7,3,2,5] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,2,1] => 4

[1,4,6,7,3,5,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,2,1] => 4

[1,4,6,7,5,2,3] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,2,1] => 4

[1,4,6,7,5,3,2] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,1,1,1] => 4

[1,4,7,2,3,5,6] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,4,7,2,3,6,5] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,4,7,2,5,3,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,4,7,2,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,4,7,2,6,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,4,7,2,6,5,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,4,7,3,2,5,6] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,4,7,3,2,6,5] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,4,7,3,5,2,6] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,4,7,3,5,6,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1] => 4

[1,4,7,3,6,2,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,4,7,3,6,5,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,1,1] => 3

[1,4,7,5,2,3,6] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,4,7,5,2,6,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,4,7,5,3,2,6] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,2,1,1] => 3

[1,4,7,5,3,6,2] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [3,2,1,1] => 3

[1,4,7,5,6,2,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [4,2,1] => 4

[1,4,7,5,6,3,2] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [4,1,1,1] => 4

[1,4,7,6,2,3,5] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,4,7,6,2,5,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,4,7,6,3,2,5] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,2,1,1] => 3

[1,4,7,6,3,5,2] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [3,2,1,1] => 3

[1,4,7,6,5,2,3] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,2,1,1] => 3

[1,4,7,6,5,3,2] => [.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,1,1,1,1] => 3

[1,5,2,3,4,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [6,1] => 6

[1,5,2,3,4,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,1,1] => 5

[1,5,2,3,6,4,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,5,2,3,6,7,4] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [5,1,1] => 5

[1,5,2,3,7,4,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,5,2,3,7,6,4] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [4,1,1,1] => 4

[1,5,2,4,3,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,5,2,4,3,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,5,2,4,6,3,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,5,2,4,6,7,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [5,1,1] => 5

[1,5,2,4,7,3,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,5,2,4,7,6,3] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,1,1,1] => 4

[1,5,2,6,3,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,5,2,6,3,7,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,5,2,6,4,3,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,5,2,6,4,7,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,5,2,6,7,3,4] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,5,2,6,7,4,3] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,1,1,1] => 4

[1,5,2,7,3,4,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,5,2,7,3,6,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,5,2,7,4,3,6] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,5,2,7,4,6,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,5,2,7,6,3,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,5,2,7,6,4,3] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [3,1,1,1,1] => 3

[1,5,3,2,4,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,5,3,2,4,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,5,3,2,6,4,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,5,3,2,6,7,4] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,5,3,2,7,4,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,5,3,2,7,6,4] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,5,3,4,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,5,3,4,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,5,3,4,6,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,5,3,4,6,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [5,1,1] => 5

[1,5,3,4,7,2,6] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,5,3,4,7,6,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [4,1,1,1] => 4

[1,5,3,6,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,5,3,6,2,7,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,5,3,6,4,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,5,3,6,4,7,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 4

[1,5,3,6,7,2,4] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,5,3,6,7,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [4,1,1,1] => 4

[1,5,3,7,2,4,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,5,3,7,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,5,3,7,4,2,6] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,5,3,7,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 4

[1,5,3,7,6,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,5,3,7,6,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [3,1,1,1,1] => 3

[1,5,4,2,3,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,5,4,2,3,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,5,4,2,6,3,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,5,4,2,6,7,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,5,4,2,7,3,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,5,4,2,7,6,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,5,4,3,2,6,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,5,4,3,2,7,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,5,4,3,6,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,5,4,3,6,7,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [4,1,1,1] => 4

[1,5,4,3,7,2,6] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,5,4,3,7,6,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [3,1,1,1,1] => 3

[1,5,4,6,2,3,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,5,4,6,2,7,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,5,4,6,3,2,7] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,5,4,6,3,7,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1] => 3

[1,5,4,6,7,2,3] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,5,4,6,7,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [4,1,1,1] => 4

[1,5,4,7,2,3,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,5,4,7,2,6,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,5,4,7,3,2,6] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,5,4,7,3,6,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1] => 3

[1,5,4,7,6,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,5,4,7,6,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [3,1,1,1,1] => 3

[1,5,6,2,3,4,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,5,6,2,3,7,4] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,5,6,2,4,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,5,6,2,4,7,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,5,6,2,7,3,4] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,5,6,2,7,4,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,5,6,3,2,4,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,5,6,3,2,7,4] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,5,6,3,4,2,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,5,6,3,4,7,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1] => 4

[1,5,6,3,7,2,4] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,5,6,3,7,4,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,1,1] => 3

[1,5,6,4,2,3,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,5,6,4,2,7,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,5,6,4,3,2,7] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,2,1,1] => 3

[1,5,6,4,3,7,2] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [3,2,1,1] => 3

[1,5,6,4,7,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,5,6,4,7,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [3,2,1,1] => 3

[1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,3] => 4

[1,5,6,7,2,4,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,2,1] => 4

[1,5,6,7,3,2,4] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,2,1] => 4

[1,5,6,7,3,4,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,2,1] => 4

[1,5,6,7,4,2,3] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,2,1] => 4

[1,5,6,7,4,3,2] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,1,1,1] => 4

[1,5,7,2,3,4,6] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,5,7,2,3,6,4] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,5,7,2,4,3,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,5,7,2,4,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,5,7,2,6,3,4] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,5,7,2,6,4,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,5,7,3,2,4,6] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,5,7,3,2,6,4] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,5,7,3,4,2,6] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,5,7,3,4,6,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1] => 4

[1,5,7,3,6,2,4] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,5,7,3,6,4,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,1,1] => 3

[1,5,7,4,2,3,6] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,5,7,4,2,6,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,5,7,4,3,2,6] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,2,1,1] => 3

[1,5,7,4,3,6,2] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [3,2,1,1] => 3

[1,5,7,4,6,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,5,7,4,6,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [3,2,1,1] => 3

[1,5,7,6,2,3,4] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [4,2,1] => 4

[1,5,7,6,2,4,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,2,1,1] => 3

[1,5,7,6,3,2,4] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,2,1,1] => 3

[1,5,7,6,3,4,2] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [3,2,1,1] => 3

[1,5,7,6,4,2,3] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,2,1,1] => 3

[1,5,7,6,4,3,2] => [.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,1,1,1,1] => 3

[1,6,2,3,4,5,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [6,1] => 6

[1,6,2,3,4,7,5] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,1,1] => 5

[1,6,2,3,5,4,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,6,2,3,5,7,4] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [5,1,1] => 5

[1,6,2,3,7,4,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,6,2,3,7,5,4] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [4,1,1,1] => 4

[1,6,2,4,3,5,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,6,2,4,3,7,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,6,2,4,5,3,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,6,2,4,5,7,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [5,1,1] => 5

[1,6,2,4,7,3,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,6,2,4,7,5,3] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,1,1,1] => 4

[1,6,2,5,3,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,6,2,5,3,7,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,6,2,5,4,3,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,6,2,5,4,7,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,6,2,5,7,3,4] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,6,2,5,7,4,3] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,1,1,1] => 4

[1,6,2,7,3,4,5] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,6,2,7,3,5,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,6,2,7,4,3,5] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,6,2,7,4,5,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,6,2,7,5,3,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,6,2,7,5,4,3] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [3,1,1,1,1] => 3

[1,6,3,2,4,5,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,6,3,2,4,7,5] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,6,3,2,5,4,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,6,3,2,5,7,4] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,6,3,2,7,4,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,6,3,2,7,5,4] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,6,3,4,2,5,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,6,3,4,2,7,5] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,6,3,4,5,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,6,3,4,5,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [5,1,1] => 5

[1,6,3,4,7,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,6,3,4,7,5,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [4,1,1,1] => 4

[1,6,3,5,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,6,3,5,2,7,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,6,3,5,4,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,6,3,5,4,7,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 4

[1,6,3,5,7,2,4] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,6,3,5,7,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [4,1,1,1] => 4

[1,6,3,7,2,4,5] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,6,3,7,2,5,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,6,3,7,4,2,5] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,6,3,7,4,5,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 4

[1,6,3,7,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,6,3,7,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [3,1,1,1,1] => 3

[1,6,4,2,3,5,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,6,4,2,3,7,5] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,6,4,2,5,3,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,6,4,2,5,7,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,6,4,2,7,3,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,6,4,2,7,5,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,6,4,3,2,5,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,6,4,3,2,7,5] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,6,4,3,5,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,6,4,3,5,7,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [4,1,1,1] => 4

[1,6,4,3,7,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,6,4,3,7,5,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [3,1,1,1,1] => 3

[1,6,4,5,2,3,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,6,4,5,2,7,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,6,4,5,3,2,7] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,6,4,5,3,7,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1] => 3

[1,6,4,5,7,2,3] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,6,4,5,7,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [4,1,1,1] => 4

[1,6,4,7,2,3,5] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,6,4,7,2,5,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,6,4,7,3,2,5] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,6,4,7,3,5,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1] => 3

[1,6,4,7,5,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,6,4,7,5,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [3,1,1,1,1] => 3

[1,6,5,2,3,4,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,6,5,2,3,7,4] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,6,5,2,4,3,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,6,5,2,4,7,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,6,5,2,7,3,4] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,6,5,2,7,4,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,6,5,3,2,4,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,6,5,3,2,7,4] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,6,5,3,4,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,6,5,3,4,7,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [4,1,1,1] => 4

[1,6,5,3,7,2,4] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,6,5,3,7,4,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [3,1,1,1,1] => 3

[1,6,5,4,2,3,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,6,5,4,2,7,3] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,6,5,4,3,2,7] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [3,1,1,1,1] => 3

[1,6,5,4,3,7,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [3,1,1,1,1] => 3

[1,6,5,4,7,2,3] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,6,5,4,7,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [3,1,1,1,1] => 3

[1,6,5,7,2,3,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,6,5,7,2,4,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,6,5,7,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,6,5,7,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1] => 3

[1,6,5,7,4,2,3] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,6,5,7,4,3,2] => [.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [3,1,1,1,1] => 3

[1,6,7,2,3,4,5] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [5,2] => 5

[1,6,7,2,3,5,4] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [4,2,1] => 4

[1,6,7,2,4,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,6,7,2,4,5,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [4,2,1] => 4

[1,6,7,2,5,3,4] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [4,2,1] => 4

[1,6,7,2,5,4,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,2,1,1] => 3

[1,6,7,3,2,4,5] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,6,7,3,2,5,4] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,6,7,3,4,2,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,6,7,3,4,5,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [4,2,1] => 4

[1,6,7,3,5,2,4] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,6,7,3,5,4,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,2,1,1] => 3

[1,6,7,4,2,3,5] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,6,7,4,2,5,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,6,7,4,3,2,5] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,2,1,1] => 3

[1,6,7,4,3,5,2] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [3,2,1,1] => 3

[1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,2,2] => 3

[1,6,7,4,5,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [3,2,1,1] => 3

[1,6,7,5,2,3,4] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [4,2,1] => 4

[1,6,7,5,2,4,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,2,1,1] => 3

[1,6,7,5,3,2,4] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,2,1,1] => 3

[1,6,7,5,3,4,2] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [3,2,1,1] => 3

[1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,2,1,1] => 3

[1,6,7,5,4,3,2] => [.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,1,1,1,1] => 3

[1,7,2,3,4,5,6] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [6,1] => 6

[1,7,2,3,4,6,5] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [5,1,1] => 5

[1,7,2,3,5,4,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,7,2,3,5,6,4] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [5,1,1] => 5

[1,7,2,3,6,4,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [5,1,1] => 5

[1,7,2,3,6,5,4] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [4,1,1,1] => 4

[1,7,2,4,3,5,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,7,2,4,3,6,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,7,2,4,5,3,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,7,2,4,5,6,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [5,1,1] => 5

[1,7,2,4,6,3,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,7,2,4,6,5,3] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [4,1,1,1] => 4

[1,7,2,5,3,4,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,7,2,5,3,6,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,7,2,5,4,3,6] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,7,2,5,4,6,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,7,2,5,6,3,4] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [4,2,1] => 4

[1,7,2,5,6,4,3] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [4,1,1,1] => 4

[1,7,2,6,3,4,5] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [5,1,1] => 5

[1,7,2,6,3,5,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [4,1,1,1] => 4

[1,7,2,6,4,3,5] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,7,2,6,4,5,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [4,1,1,1] => 4

[1,7,2,6,5,3,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [4,1,1,1] => 4

[1,7,2,6,5,4,3] => [.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [3,1,1,1,1] => 3

[1,7,3,2,4,5,6] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,7,3,2,4,6,5] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,7,3,2,5,4,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,7,3,2,5,6,4] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,7,3,2,6,4,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,7,3,2,6,5,4] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,7,3,4,2,5,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,7,3,4,2,6,5] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,7,3,4,5,2,6] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,7,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [5,1,1] => 5

[1,7,3,4,6,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,7,3,4,6,5,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [4,1,1,1] => 4

[1,7,3,5,2,4,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,7,3,5,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,7,3,5,4,2,6] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,7,3,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 4

[1,7,3,5,6,2,4] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,7,3,5,6,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [4,1,1,1] => 4

[1,7,3,6,2,4,5] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,7,3,6,2,5,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,7,3,6,4,2,5] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,7,3,6,4,5,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [4,1,1,1] => 4

[1,7,3,6,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,7,3,6,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [3,1,1,1,1] => 3

[1,7,4,2,3,5,6] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,7,4,2,3,6,5] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,7,4,2,5,3,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,7,4,2,5,6,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,7,4,2,6,3,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,7,4,2,6,5,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,7,4,3,2,5,6] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,7,4,3,2,6,5] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,7,4,3,5,2,6] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,7,4,3,5,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [4,1,1,1] => 4

[1,7,4,3,6,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,7,4,3,6,5,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [3,1,1,1,1] => 3

[1,7,4,5,2,3,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,7,4,5,2,6,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,7,4,5,3,2,6] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,7,4,5,3,6,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1] => 3

[1,7,4,5,6,2,3] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [4,2,1] => 4

[1,7,4,5,6,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [4,1,1,1] => 4

[1,7,4,6,2,3,5] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,7,4,6,2,5,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,7,4,6,3,2,5] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,7,4,6,3,5,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1] => 3

[1,7,4,6,5,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [3,2,1,1] => 3

[1,7,4,6,5,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [3,1,1,1,1] => 3

[1,7,5,2,3,4,6] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,7,5,2,3,6,4] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,7,5,2,4,3,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,7,5,2,4,6,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,7,5,2,6,3,4] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,7,5,2,6,4,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,7,5,3,2,4,6] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,7,5,3,2,6,4] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,7,5,3,4,2,6] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,7,5,3,4,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [4,1,1,1] => 4

[1,7,5,3,6,2,4] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,7,5,3,6,4,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [3,1,1,1,1] => 3

[1,7,5,4,2,3,6] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,7,5,4,2,6,3] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,7,5,4,3,2,6] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [3,1,1,1,1] => 3

[1,7,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [3,1,1,1,1] => 3

[1,7,5,4,6,2,3] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,7,5,4,6,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [3,1,1,1,1] => 3

[1,7,5,6,2,3,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [4,2,1] => 4

[1,7,5,6,2,4,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [3,2,1,1] => 3

[1,7,5,6,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [3,2,1,1] => 3

[1,7,5,6,4,2,3] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [3,2,1,1] => 3

[1,7,5,6,4,3,2] => [.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [3,1,1,1,1] => 3

[1,7,6,2,3,4,5] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [5,1,1] => 5

[1,7,6,2,3,5,4] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [4,1,1,1] => 4

[1,7,6,2,4,3,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,7,6,2,4,5,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [4,1,1,1] => 4

[1,7,6,2,5,3,4] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [4,1,1,1] => 4

[1,7,6,2,5,4,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 3

[1,7,6,3,2,4,5] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,7,6,3,2,5,4] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,7,6,3,4,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,7,6,3,4,5,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [4,1,1,1] => 4

[1,7,6,3,5,2,4] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,7,6,3,5,4,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [3,1,1,1,1] => 3

[1,7,6,4,2,3,5] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,7,6,4,2,5,3] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,7,6,4,3,2,5] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [3,1,1,1,1] => 3

[1,7,6,4,3,5,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [3,1,1,1,1] => 3

[1,7,6,4,5,2,3] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [3,2,1,1] => 3

[1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [3,1,1,1,1] => 3

[1,7,6,5,2,3,4] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [4,1,1,1] => 4

[1,7,6,5,2,4,3] => [.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 3

[1,7,6,5,3,2,4] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [3,1,1,1,1] => 3

[1,7,6,5,3,4,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [3,1,1,1,1] => 3

[1,7,6,5,4,2,3] => [.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [3,1,1,1,1] => 3

[1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [2,1,1,1,1,1] => 2

[2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,1] => 6

[2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,1,1] => 5

[2,1,3,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,1,1] => 5

[2,1,3,4,7,5,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[2,1,3,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,1,1,1] => 4

[2,1,3,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[2,1,3,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[2,1,3,5,6,4,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[2,1,3,5,6,7,4] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1] => 5

[2,1,3,5,7,4,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[2,1,3,5,7,6,4] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,1,1,1] => 4

[2,1,3,6,4,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[2,1,3,6,4,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[2,1,3,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[2,1,3,6,5,7,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[2,1,3,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[2,1,3,6,7,5,4] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,1,1] => 4

[2,1,3,7,4,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[2,1,3,7,4,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[2,1,3,7,5,4,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[2,1,3,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[2,1,3,7,6,4,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,1,1,1,1] => 3

[2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[2,1,4,3,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[2,1,4,3,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[2,1,4,5,3,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[2,1,4,5,3,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[2,1,4,5,6,3,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[2,1,4,5,6,7,3] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,1,1] => 5

[2,1,4,5,7,3,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[2,1,4,5,7,6,3] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,1,1,1] => 4

[2,1,4,6,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[2,1,4,6,3,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[2,1,4,6,5,3,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[2,1,4,6,5,7,3] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[2,1,4,6,7,3,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[2,1,4,6,7,5,3] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,1,1] => 4

[2,1,4,7,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[2,1,4,7,3,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[2,1,4,7,5,3,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[2,1,4,7,5,6,3] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[2,1,4,7,6,3,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[2,1,4,7,6,5,3] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,1,1,1,1] => 3

[2,1,5,3,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[2,1,5,3,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[2,1,5,3,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[2,1,5,3,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[2,1,5,3,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[2,1,5,3,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[2,1,5,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[2,1,5,4,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[2,1,5,4,6,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[2,1,5,4,6,7,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[2,1,5,4,7,3,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[2,1,5,4,7,6,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[2,1,5,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[2,1,5,6,3,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[2,1,5,6,4,3,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[2,1,5,6,4,7,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[2,1,5,6,7,3,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[2,1,5,6,7,4,3] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,1,1] => 4

[2,1,5,7,3,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[2,1,5,7,3,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[2,1,5,7,4,3,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[2,1,5,7,4,6,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[2,1,5,7,6,3,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[2,1,5,7,6,4,3] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,1,1,1,1] => 3

[2,1,6,3,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[2,1,6,3,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[2,1,6,3,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[2,1,6,3,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[2,1,6,3,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[2,1,6,3,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[2,1,6,4,3,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[2,1,6,4,3,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[2,1,6,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[2,1,6,4,5,7,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[2,1,6,4,7,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[2,1,6,4,7,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[2,1,6,5,3,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[2,1,6,5,3,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[2,1,6,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[2,1,6,5,4,7,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[2,1,6,5,7,3,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[2,1,6,5,7,4,3] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[2,1,6,7,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[2,1,6,7,3,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[2,1,6,7,4,3,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[2,1,6,7,4,5,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[2,1,6,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[2,1,6,7,5,4,3] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,1,1,1,1] => 3

[2,1,7,3,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[2,1,7,3,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[2,1,7,3,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[2,1,7,3,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[2,1,7,3,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[2,1,7,3,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[2,1,7,4,3,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[2,1,7,4,3,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[2,1,7,4,5,3,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[2,1,7,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[2,1,7,4,6,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[2,1,7,4,6,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[2,1,7,5,3,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[2,1,7,5,3,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[2,1,7,5,4,3,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[2,1,7,5,4,6,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[2,1,7,5,6,3,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[2,1,7,5,6,4,3] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[2,1,7,6,3,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[2,1,7,6,3,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[2,1,7,6,4,3,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[2,1,7,6,4,5,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[2,1,7,6,5,3,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,1,1,1,1,1] => 2

[2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[2,3,1,4,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[2,3,1,4,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,3,1,4,6,7,5] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[2,3,1,4,7,5,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,3,1,4,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[2,3,1,5,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,3,1,5,4,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,3,1,5,6,4,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,3,1,5,6,7,4] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[2,3,1,5,7,4,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,3,1,5,7,6,4] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[2,3,1,6,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,3,1,6,4,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,3,1,6,5,4,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,3,1,6,5,7,4] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,3,1,6,7,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,3,1,6,7,5,4] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[2,3,1,7,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,3,1,7,4,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,3,1,7,5,4,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,3,1,7,5,6,4] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,3,1,7,6,4,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,3,1,7,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,3,4,1,5,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,3,4,1,6,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,3,4,1,6,7,5] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,3,4,1,7,5,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,3,4,1,7,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,3,4,5,1,7,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,2] => 5

[2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,1] => 6

[2,3,4,5,7,1,6] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,2] => 5

[2,3,4,5,7,6,1] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,1,1] => 5

[2,3,4,6,1,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,3,4,6,1,7,5] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,3,4,6,5,1,7] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1] => 4

[2,3,4,6,5,7,1] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [5,1,1] => 5

[2,3,4,6,7,1,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,2] => 5

[2,3,4,6,7,5,1] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,1,1] => 5

[2,3,4,7,1,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,3,4,7,1,6,5] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,3,4,7,5,1,6] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1] => 4

[2,3,4,7,5,6,1] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [5,1,1] => 5

[2,3,4,7,6,1,5] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1] => 4

[2,3,4,7,6,5,1] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,1,1,1] => 4

[2,3,5,1,4,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,3,5,1,4,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,3,5,1,6,4,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,3,5,1,6,7,4] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,3,5,1,7,4,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,3,5,1,7,6,4] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,3,5,4,1,6,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,3,5,4,1,7,6] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,3,5,4,6,1,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,3,5,4,6,7,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [5,1,1] => 5

[2,3,5,4,7,1,6] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,3,5,4,7,6,1] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [4,1,1,1] => 4

[2,3,5,6,1,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,3,5,6,1,7,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,3,5,6,4,1,7] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,2,1] => 4

[2,3,5,6,4,7,1] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [4,2,1] => 4

[2,3,5,6,7,1,4] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,2] => 5

[2,3,5,6,7,4,1] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,1,1] => 5

[2,3,5,7,1,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,3,5,7,1,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,3,5,7,4,1,6] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,2,1] => 4

[2,3,5,7,4,6,1] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [4,2,1] => 4

[2,3,5,7,6,1,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1] => 4

[2,3,5,7,6,4,1] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,1,1,1] => 4

[2,3,6,1,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,3,6,1,4,7,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,3,6,1,5,4,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,3,6,1,5,7,4] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,3,6,1,7,4,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,3,6,1,7,5,4] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,3,6,4,1,5,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,3,6,4,1,7,5] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,3,6,4,5,1,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,3,6,4,5,7,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [5,1,1] => 5

[2,3,6,4,7,1,5] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,3,6,4,7,5,1] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [4,1,1,1] => 4

[2,3,6,5,1,4,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,3,6,5,1,7,4] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,3,6,5,4,1,7] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,2,1,1] => 3

[2,3,6,5,4,7,1] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [4,1,1,1] => 4

[2,3,6,5,7,1,4] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,3,6,5,7,4,1] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [4,1,1,1] => 4

[2,3,6,7,1,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,3,6,7,1,5,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,3,6,7,4,1,5] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,2,1] => 4

[2,3,6,7,4,5,1] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [4,2,1] => 4

[2,3,6,7,5,1,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,2,1] => 4

[2,3,6,7,5,4,1] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,1,1,1] => 4

[2,3,7,1,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,3,7,1,4,6,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,3,7,1,5,4,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,3,7,1,5,6,4] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,3,7,1,6,4,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,3,7,1,6,5,4] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,3,7,4,1,5,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,3,7,4,1,6,5] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,3,7,4,5,1,6] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,3,7,4,5,6,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [5,1,1] => 5

[2,3,7,4,6,1,5] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,3,7,4,6,5,1] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [4,1,1,1] => 4

[2,3,7,5,1,4,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,3,7,5,1,6,4] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,3,7,5,4,1,6] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,2,1,1] => 3

[2,3,7,5,4,6,1] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [4,1,1,1] => 4

[2,3,7,5,6,1,4] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,3,7,5,6,4,1] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [4,1,1,1] => 4

[2,3,7,6,1,4,5] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,3,7,6,1,5,4] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,3,7,6,4,1,5] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,2,1,1] => 3

[2,3,7,6,4,5,1] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [4,1,1,1] => 4

[2,3,7,6,5,1,4] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,2,1,1] => 3

[2,3,7,6,5,4,1] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,1,1,1,1] => 3

[2,4,1,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[2,4,1,3,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[2,4,1,3,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,4,1,3,6,7,5] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[2,4,1,3,7,5,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,4,1,3,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[2,4,1,5,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,4,1,5,3,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,4,1,5,6,3,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,4,1,5,6,7,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[2,4,1,5,7,3,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,4,1,5,7,6,3] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[2,4,1,6,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,4,1,6,3,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,4,1,6,5,3,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,4,1,6,5,7,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,4,1,6,7,3,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,4,1,6,7,5,3] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[2,4,1,7,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,4,1,7,3,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,4,1,7,5,3,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,4,1,7,5,6,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,4,1,7,6,3,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,4,1,7,6,5,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[2,4,3,1,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,4,3,1,5,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,4,3,1,6,5,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,4,3,1,6,7,5] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,4,3,1,7,5,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,4,3,1,7,6,5] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,4,3,5,1,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,4,3,5,1,7,6] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,4,3,5,6,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,4,3,5,6,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [5,1,1] => 5

[2,4,3,5,7,1,6] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,4,3,5,7,6,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [4,1,1,1] => 4

[2,4,3,6,1,5,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,4,3,6,1,7,5] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,4,3,6,5,1,7] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,4,3,6,5,7,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 4

[2,4,3,6,7,1,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,4,3,6,7,5,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [4,1,1,1] => 4

[2,4,3,7,1,5,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,4,3,7,1,6,5] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,4,3,7,5,1,6] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,4,3,7,5,6,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 4

[2,4,3,7,6,1,5] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,4,3,7,6,5,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [3,1,1,1,1] => 3

[2,4,5,1,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,4,5,1,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,4,5,1,6,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,4,5,1,6,7,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,4,5,1,7,3,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,4,5,1,7,6,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,4,5,3,1,6,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,4,5,3,1,7,6] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,4,5,3,6,1,7] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,4,5,3,6,7,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,2,1] => 4

[2,4,5,3,7,1,6] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,4,5,3,7,6,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,1,1] => 3

[2,4,5,6,1,3,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,4,5,6,1,7,3] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,4,5,6,3,1,7] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,2,1] => 4

[2,4,5,6,3,7,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [4,2,1] => 4

[2,4,5,6,7,1,3] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,2] => 5

[2,4,5,6,7,3,1] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,1,1] => 5

[2,4,5,7,1,3,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,4,5,7,1,6,3] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,4,5,7,3,1,6] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,2,1] => 4

[2,4,5,7,3,6,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [4,2,1] => 4

[2,4,5,7,6,1,3] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1] => 4

[2,4,5,7,6,3,1] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,1,1,1] => 4

[2,4,6,1,3,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,4,6,1,3,7,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,4,6,1,5,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,4,6,1,5,7,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,4,6,1,7,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,4,6,1,7,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,4,6,3,1,5,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,4,6,3,1,7,5] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,4,6,3,5,1,7] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,4,6,3,5,7,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,2,1] => 4

[2,4,6,3,7,1,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,4,6,3,7,5,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,1,1] => 3

[2,4,6,5,1,3,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,4,6,5,1,7,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,4,6,5,3,1,7] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,2,1,1] => 3

[2,4,6,5,3,7,1] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [3,2,1,1] => 3

[2,4,6,5,7,1,3] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,4,6,5,7,3,1] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [4,1,1,1] => 4

[2,4,6,7,1,3,5] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,4,6,7,1,5,3] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,4,6,7,3,1,5] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,2,1] => 4

[2,4,6,7,3,5,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [4,2,1] => 4

[2,4,6,7,5,1,3] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,2,1] => 4

[2,4,6,7,5,3,1] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,1,1,1] => 4

[2,4,7,1,3,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,4,7,1,3,6,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,4,7,1,5,3,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,4,7,1,5,6,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,4,7,1,6,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,4,7,1,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,4,7,3,1,5,6] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,4,7,3,1,6,5] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,4,7,3,5,1,6] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,4,7,3,5,6,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,2,1] => 4

[2,4,7,3,6,1,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,4,7,3,6,5,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,1,1] => 3

[2,4,7,5,1,3,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,4,7,5,1,6,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,4,7,5,3,1,6] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,2,1,1] => 3

[2,4,7,5,3,6,1] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [3,2,1,1] => 3

[2,4,7,5,6,1,3] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[2,4,7,5,6,3,1] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [4,1,1,1] => 4

[2,4,7,6,1,3,5] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,4,7,6,1,5,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,4,7,6,3,1,5] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,2,1,1] => 3

[2,4,7,6,3,5,1] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [3,2,1,1] => 3

[2,4,7,6,5,1,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,2,1,1] => 3

[2,4,7,6,5,3,1] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,1,1,1,1] => 3

[2,5,1,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[2,5,1,3,4,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[2,5,1,3,6,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,5,1,3,6,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[2,5,1,3,7,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,5,1,3,7,6,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[2,5,1,4,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,5,1,4,3,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,5,1,4,6,3,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,5,1,4,6,7,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[2,5,1,4,7,3,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,5,1,4,7,6,3] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[2,5,1,6,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,5,1,6,3,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,5,1,6,4,3,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,5,1,6,4,7,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,5,1,6,7,3,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,5,1,6,7,4,3] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[2,5,1,7,3,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,5,1,7,3,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,5,1,7,4,3,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,5,1,7,4,6,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,5,1,7,6,3,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,5,1,7,6,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[2,5,3,1,4,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,5,3,1,4,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,5,3,1,6,4,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,5,3,1,6,7,4] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,5,3,1,7,4,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,5,3,1,7,6,4] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,5,3,4,1,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,5,3,4,1,7,6] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,5,3,4,6,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,5,3,4,6,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [5,1,1] => 5

[2,5,3,4,7,1,6] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,5,3,4,7,6,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [4,1,1,1] => 4

[2,5,3,6,1,4,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,5,3,6,1,7,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,5,3,6,4,1,7] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,5,3,6,4,7,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 4

[2,5,3,6,7,1,4] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,5,3,6,7,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [4,1,1,1] => 4

[2,5,3,7,1,4,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,5,3,7,1,6,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,5,3,7,4,1,6] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,5,3,7,4,6,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 4

[2,5,3,7,6,1,4] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,5,3,7,6,4,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [3,1,1,1,1] => 3

[2,5,4,1,3,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,5,4,1,3,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,5,4,1,6,3,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,5,4,1,6,7,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,5,4,1,7,3,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,5,4,1,7,6,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,5,4,3,1,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,5,4,3,1,7,6] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,5,4,3,6,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,5,4,3,6,7,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,1,1,1] => 4

[2,5,4,3,7,1,6] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,5,4,3,7,6,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [3,1,1,1,1] => 3

[2,5,4,6,1,3,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,5,4,6,1,7,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,5,4,6,3,1,7] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,5,4,6,3,7,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1] => 3

[2,5,4,6,7,1,3] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,5,4,6,7,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [4,1,1,1] => 4

[2,5,4,7,1,3,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,5,4,7,1,6,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,5,4,7,3,1,6] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,5,4,7,3,6,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1] => 3

[2,5,4,7,6,1,3] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,5,4,7,6,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [3,1,1,1,1] => 3

[2,5,6,1,3,4,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,5,6,1,3,7,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,5,6,1,4,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,5,6,1,4,7,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,5,6,1,7,3,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,5,6,1,7,4,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,5,6,3,1,4,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,5,6,3,1,7,4] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,5,6,3,4,1,7] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,5,6,3,4,7,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,2,1] => 4

[2,5,6,3,7,1,4] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,5,6,3,7,4,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,1,1] => 3

[2,5,6,4,1,3,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,5,6,4,1,7,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,5,6,4,3,1,7] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,1,1] => 3

[2,5,6,4,3,7,1] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [3,2,1,1] => 3

[2,5,6,4,7,1,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,5,6,4,7,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [3,2,1,1] => 3

[2,5,6,7,1,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[2,5,6,7,1,4,3] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[2,5,6,7,3,1,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,2,1] => 4

[2,5,6,7,3,4,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [4,2,1] => 4

[2,5,6,7,4,1,3] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,2,1] => 4

[2,5,6,7,4,3,1] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,1,1,1] => 4

[2,5,7,1,3,4,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,5,7,1,3,6,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,5,7,1,4,3,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,5,7,1,4,6,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,5,7,1,6,3,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,5,7,1,6,4,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,5,7,3,1,4,6] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,5,7,3,1,6,4] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,5,7,3,4,1,6] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,5,7,3,4,6,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,2,1] => 4

[2,5,7,3,6,1,4] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,5,7,3,6,4,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,1,1] => 3

[2,5,7,4,1,3,6] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,5,7,4,1,6,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,5,7,4,3,1,6] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,1,1] => 3

[2,5,7,4,3,6,1] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [3,2,1,1] => 3

[2,5,7,4,6,1,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,5,7,4,6,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [3,2,1,1] => 3

[2,5,7,6,1,3,4] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[2,5,7,6,1,4,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[2,5,7,6,3,1,4] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,2,1,1] => 3

[2,5,7,6,3,4,1] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [3,2,1,1] => 3

[2,5,7,6,4,1,3] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,2,1,1] => 3

[2,5,7,6,4,3,1] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,1,1,1,1] => 3

[2,6,1,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[2,6,1,3,4,7,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[2,6,1,3,5,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,6,1,3,5,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[2,6,1,3,7,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,6,1,3,7,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[2,6,1,4,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,6,1,4,3,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,6,1,4,5,3,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,6,1,4,5,7,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[2,6,1,4,7,3,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,6,1,4,7,5,3] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[2,6,1,5,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,6,1,5,3,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,6,1,5,4,3,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,6,1,5,4,7,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,6,1,5,7,3,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,6,1,5,7,4,3] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[2,6,1,7,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,6,1,7,3,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,6,1,7,4,3,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,6,1,7,4,5,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,6,1,7,5,3,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,6,1,7,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[2,6,3,1,4,5,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,6,3,1,4,7,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,6,3,1,5,4,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,6,3,1,5,7,4] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,6,3,1,7,4,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,6,3,1,7,5,4] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,6,3,4,1,5,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,6,3,4,1,7,5] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,6,3,4,5,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,6,3,4,5,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [5,1,1] => 5

[2,6,3,4,7,1,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,6,3,4,7,5,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [4,1,1,1] => 4

[2,6,3,5,1,4,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,6,3,5,1,7,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,6,3,5,4,1,7] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,6,3,5,4,7,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 4

[2,6,3,5,7,1,4] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,6,3,5,7,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [4,1,1,1] => 4

[2,6,3,7,1,4,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,6,3,7,1,5,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,6,3,7,4,1,5] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,6,3,7,4,5,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 4

[2,6,3,7,5,1,4] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,6,3,7,5,4,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [3,1,1,1,1] => 3

[2,6,4,1,3,5,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,6,4,1,3,7,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,6,4,1,5,3,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,6,4,1,5,7,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,6,4,1,7,3,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,6,4,1,7,5,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,6,4,3,1,5,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,6,4,3,1,7,5] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,6,4,3,5,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,6,4,3,5,7,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,1,1,1] => 4

[2,6,4,3,7,1,5] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,6,4,3,7,5,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [3,1,1,1,1] => 3

[2,6,4,5,1,3,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,6,4,5,1,7,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,6,4,5,3,1,7] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,6,4,5,3,7,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1] => 3

[2,6,4,5,7,1,3] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,6,4,5,7,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [4,1,1,1] => 4

[2,6,4,7,1,3,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,6,4,7,1,5,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,6,4,7,3,1,5] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,6,4,7,3,5,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1] => 3

[2,6,4,7,5,1,3] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,6,4,7,5,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [3,1,1,1,1] => 3

[2,6,5,1,3,4,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,6,5,1,3,7,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,6,5,1,4,3,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,6,5,1,4,7,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,6,5,1,7,3,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,6,5,1,7,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,6,5,3,1,4,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,6,5,3,1,7,4] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,6,5,3,4,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,6,5,3,4,7,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,1,1,1] => 4

[2,6,5,3,7,1,4] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,6,5,3,7,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [3,1,1,1,1] => 3

[2,6,5,4,1,3,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,6,5,4,1,7,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,6,5,4,3,1,7] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,2,1,1,1] => 2

[2,6,5,4,3,7,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [3,1,1,1,1] => 3

[2,6,5,4,7,1,3] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,6,5,4,7,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [3,1,1,1,1] => 3

[2,6,5,7,1,3,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,6,5,7,1,4,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,6,5,7,3,1,4] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,6,5,7,3,4,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1] => 3

[2,6,5,7,4,1,3] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,6,5,7,4,3,1] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [3,1,1,1,1] => 3

[2,6,7,1,3,4,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[2,6,7,1,3,5,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[2,6,7,1,4,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,6,7,1,4,5,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[2,6,7,1,5,3,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[2,6,7,1,5,4,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[2,6,7,3,1,4,5] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,6,7,3,1,5,4] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,6,7,3,4,1,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,6,7,3,4,5,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [4,2,1] => 4

[2,6,7,3,5,1,4] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,6,7,3,5,4,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,2,1,1] => 3

[2,6,7,4,1,3,5] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,6,7,4,1,5,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,6,7,4,3,1,5] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,1,1] => 3

[2,6,7,4,3,5,1] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [3,2,1,1] => 3

[2,6,7,4,5,1,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[2,6,7,4,5,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [3,2,1,1] => 3

[2,6,7,5,1,3,4] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[2,6,7,5,1,4,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[2,6,7,5,3,1,4] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,1,1] => 3

[2,6,7,5,3,4,1] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [3,2,1,1] => 3

[2,6,7,5,4,1,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,1,1] => 3

[2,6,7,5,4,3,1] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,1,1,1,1] => 3

[2,7,1,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[2,7,1,3,4,6,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[2,7,1,3,5,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,7,1,3,5,6,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[2,7,1,3,6,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[2,7,1,3,6,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[2,7,1,4,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,7,1,4,3,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,7,1,4,5,3,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,7,1,4,5,6,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[2,7,1,4,6,3,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,7,1,4,6,5,3] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[2,7,1,5,3,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,7,1,5,3,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,7,1,5,4,3,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,7,1,5,4,6,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,7,1,5,6,3,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[2,7,1,5,6,4,3] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[2,7,1,6,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[2,7,1,6,3,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[2,7,1,6,4,3,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,7,1,6,4,5,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[2,7,1,6,5,3,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[2,7,3,1,4,5,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,7,3,1,4,6,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,7,3,1,5,4,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,7,3,1,5,6,4] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,7,3,1,6,4,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,7,3,1,6,5,4] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,7,3,4,1,5,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,7,3,4,1,6,5] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,7,3,4,5,1,6] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,7,3,4,5,6,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [5,1,1] => 5

[2,7,3,4,6,1,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,7,3,4,6,5,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [4,1,1,1] => 4

[2,7,3,5,1,4,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,7,3,5,1,6,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,7,3,5,4,1,6] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,7,3,5,4,6,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 4

[2,7,3,5,6,1,4] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,7,3,5,6,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [4,1,1,1] => 4

[2,7,3,6,1,4,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,7,3,6,1,5,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,7,3,6,4,1,5] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,7,3,6,4,5,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [4,1,1,1] => 4

[2,7,3,6,5,1,4] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,7,3,6,5,4,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [3,1,1,1,1] => 3

[2,7,4,1,3,5,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,7,4,1,3,6,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,7,4,1,5,3,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,7,4,1,5,6,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,7,4,1,6,3,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,7,4,1,6,5,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,7,4,3,1,5,6] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,7,4,3,1,6,5] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,7,4,3,5,1,6] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,7,4,3,5,6,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,1,1,1] => 4

[2,7,4,3,6,1,5] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,7,4,3,6,5,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [3,1,1,1,1] => 3

[2,7,4,5,1,3,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,7,4,5,1,6,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,7,4,5,3,1,6] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,7,4,5,3,6,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1] => 3

[2,7,4,5,6,1,3] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[2,7,4,5,6,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [4,1,1,1] => 4

[2,7,4,6,1,3,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,7,4,6,1,5,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,7,4,6,3,1,5] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,7,4,6,3,5,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1] => 3

[2,7,4,6,5,1,3] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[2,7,4,6,5,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [3,1,1,1,1] => 3

[2,7,5,1,3,4,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,7,5,1,3,6,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,7,5,1,4,3,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,7,5,1,4,6,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,7,5,1,6,3,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,7,5,1,6,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,7,5,3,1,4,6] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,7,5,3,1,6,4] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,7,5,3,4,1,6] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,7,5,3,4,6,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,1,1,1] => 4

[2,7,5,3,6,1,4] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,7,5,3,6,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [3,1,1,1,1] => 3

[2,7,5,4,1,3,6] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,7,5,4,1,6,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,7,5,4,3,1,6] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,2,1,1,1] => 2

[2,7,5,4,3,6,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [3,1,1,1,1] => 3

[2,7,5,4,6,1,3] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,7,5,4,6,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [3,1,1,1,1] => 3

[2,7,5,6,1,3,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[2,7,5,6,1,4,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[2,7,5,6,3,1,4] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,7,5,6,3,4,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [3,2,1,1] => 3

[2,7,5,6,4,1,3] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[2,7,5,6,4,3,1] => [[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [3,1,1,1,1] => 3

[2,7,6,1,3,4,5] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[2,7,6,1,3,5,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[2,7,6,1,4,3,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,7,6,1,4,5,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[2,7,6,1,5,3,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[2,7,6,3,1,4,5] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,7,6,3,1,5,4] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,7,6,3,4,1,5] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,7,6,3,4,5,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [4,1,1,1] => 4

[2,7,6,3,5,1,4] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,7,6,3,5,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [3,1,1,1,1] => 3

[2,7,6,4,1,3,5] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,7,6,4,1,5,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,7,6,4,3,1,5] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,2,1,1,1] => 2

[2,7,6,4,3,5,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [3,1,1,1,1] => 3

[2,7,6,4,5,1,3] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[2,7,6,4,5,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [3,1,1,1,1] => 3

[2,7,6,5,1,3,4] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[2,7,6,5,3,1,4] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,2,1,1,1] => 2

[2,7,6,5,3,4,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [3,1,1,1,1] => 3

[2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,2,1,1,1] => 2

[2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,1,1,1,1,1] => 2

[3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,1] => 6

[3,1,2,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,1,1] => 5

[3,1,2,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[3,1,2,4,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,1,1] => 5

[3,1,2,4,7,5,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[3,1,2,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,1,1,1] => 4

[3,1,2,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[3,1,2,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[3,1,2,5,6,4,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[3,1,2,5,6,7,4] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1] => 5

[3,1,2,5,7,4,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[3,1,2,5,7,6,4] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,1,1,1] => 4

[3,1,2,6,4,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[3,1,2,6,4,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[3,1,2,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[3,1,2,6,5,7,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[3,1,2,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[3,1,2,6,7,5,4] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,1,1] => 4

[3,1,2,7,4,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[3,1,2,7,4,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[3,1,2,7,5,4,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[3,1,2,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[3,1,2,7,6,4,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[3,1,2,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,1,1,1,1] => 3

[3,1,4,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[3,1,4,2,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[3,1,4,2,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[3,1,4,2,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[3,1,4,2,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[3,1,4,2,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[3,1,4,5,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[3,1,4,5,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[3,1,4,5,6,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[3,1,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,1,1] => 5

[3,1,4,5,7,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[3,1,4,5,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,1,1,1] => 4

[3,1,4,6,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[3,1,4,6,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[3,1,4,6,5,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[3,1,4,6,5,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[3,1,4,6,7,2,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[3,1,4,6,7,5,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,1,1] => 4

[3,1,4,7,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[3,1,4,7,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[3,1,4,7,5,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[3,1,4,7,5,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[3,1,4,7,6,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[3,1,4,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,1,1,1,1] => 3

[3,1,5,2,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[3,1,5,2,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[3,1,5,2,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[3,1,5,2,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[3,1,5,2,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[3,1,5,2,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[3,1,5,4,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[3,1,5,4,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[3,1,5,4,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[3,1,5,4,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[3,1,5,4,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[3,1,5,4,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[3,1,5,6,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[3,1,5,6,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[3,1,5,6,4,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[3,1,5,6,4,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[3,1,5,6,7,2,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[3,1,5,6,7,4,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,1,1] => 4

[3,1,5,7,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[3,1,5,7,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[3,1,5,7,4,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[3,1,5,7,4,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[3,1,5,7,6,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[3,1,5,7,6,4,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,1,1,1,1] => 3

[3,1,6,2,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[3,1,6,2,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[3,1,6,2,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[3,1,6,2,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[3,1,6,2,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[3,1,6,2,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[3,1,6,4,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[3,1,6,4,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[3,1,6,4,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[3,1,6,4,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[3,1,6,4,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[3,1,6,4,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[3,1,6,5,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[3,1,6,5,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[3,1,6,5,4,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[3,1,6,5,4,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[3,1,6,5,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[3,1,6,5,7,4,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[3,1,6,7,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[3,1,6,7,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[3,1,6,7,4,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[3,1,6,7,4,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[3,1,6,7,5,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[3,1,6,7,5,4,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,1,1,1,1] => 3

[3,1,7,2,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[3,1,7,2,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[3,1,7,2,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[3,1,7,2,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[3,1,7,2,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[3,1,7,2,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[3,1,7,4,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[3,1,7,4,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[3,1,7,4,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[3,1,7,4,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[3,1,7,4,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[3,1,7,4,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[3,1,7,5,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[3,1,7,5,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[3,1,7,5,4,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[3,1,7,5,4,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[3,1,7,5,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[3,1,7,5,6,4,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[3,1,7,6,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[3,1,7,6,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[3,1,7,6,4,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[3,1,7,6,4,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[3,1,7,6,5,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,1,1,1,1,1] => 2

[3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[3,2,1,4,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[3,2,1,4,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[3,2,1,4,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[3,2,1,4,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[3,2,1,4,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[3,2,1,5,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[3,2,1,5,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[3,2,1,5,6,4,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[3,2,1,5,6,7,4] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[3,2,1,5,7,4,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[3,2,1,5,7,6,4] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[3,2,1,6,4,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[3,2,1,6,4,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[3,2,1,6,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[3,2,1,6,5,7,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[3,2,1,6,7,4,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[3,2,1,6,7,5,4] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[3,2,1,7,4,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[3,2,1,7,4,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[3,2,1,7,5,4,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[3,2,1,7,5,6,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[3,2,1,7,6,4,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[3,2,4,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[3,2,4,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[3,2,4,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[3,2,4,1,6,7,5] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[3,2,4,1,7,5,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[3,2,4,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[3,2,4,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[3,2,4,5,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[3,2,4,5,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[3,2,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,1,1] => 5

[3,2,4,5,7,1,6] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[3,2,4,5,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1] => 4

[3,2,4,6,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[3,2,4,6,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[3,2,4,6,5,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[3,2,4,6,5,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[3,2,4,6,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[3,2,4,6,7,5,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,1,1,1] => 4

[3,2,4,7,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[3,2,4,7,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[3,2,4,7,5,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[3,2,4,7,5,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[3,2,4,7,6,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[3,2,4,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,1,1,1,1] => 3

[3,2,5,1,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[3,2,5,1,4,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[3,2,5,1,6,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[3,2,5,1,6,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[3,2,5,1,7,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[3,2,5,1,7,6,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[3,2,5,4,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[3,2,5,4,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[3,2,5,4,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[3,2,5,4,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[3,2,5,4,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[3,2,5,4,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[3,2,5,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[3,2,5,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[3,2,5,6,4,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[3,2,5,6,4,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[3,2,5,6,7,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[3,2,5,6,7,4,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,1,1,1] => 4

[3,2,5,7,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[3,2,5,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[3,2,5,7,4,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[3,2,5,7,4,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[3,2,5,7,6,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[3,2,5,7,6,4,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,1,1,1,1] => 3

[3,2,6,1,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[3,2,6,1,4,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[3,2,6,1,5,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[3,2,6,1,5,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[3,2,6,1,7,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[3,2,6,1,7,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[3,2,6,4,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[3,2,6,4,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[3,2,6,4,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[3,2,6,4,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[3,2,6,4,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[3,2,6,4,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[3,2,6,5,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[3,2,6,5,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[3,2,6,5,4,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[3,2,6,5,4,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[3,2,6,5,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[3,2,6,5,7,4,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[3,2,6,7,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[3,2,6,7,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[3,2,6,7,4,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[3,2,6,7,4,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[3,2,6,7,5,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[3,2,6,7,5,4,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,1,1,1,1] => 3

[3,2,7,1,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[3,2,7,1,4,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[3,2,7,1,5,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[3,2,7,1,5,6,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[3,2,7,1,6,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[3,2,7,4,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[3,2,7,4,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[3,2,7,4,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[3,2,7,4,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[3,2,7,4,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[3,2,7,4,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[3,2,7,5,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[3,2,7,5,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[3,2,7,5,4,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[3,2,7,5,4,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[3,2,7,5,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[3,2,7,5,6,4,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[3,2,7,6,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[3,2,7,6,4,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[3,2,7,6,4,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,1,1,1,1,1] => 2

[3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[3,4,1,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[3,4,1,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[3,4,1,2,6,7,5] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[3,4,1,2,7,5,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[3,4,1,2,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[3,4,1,5,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,4,1,5,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,4,1,5,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,4,1,5,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[3,4,1,5,7,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,4,1,5,7,6,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[3,4,1,6,2,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,4,1,6,2,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,4,1,6,5,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,4,1,6,5,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[3,4,1,6,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,4,1,6,7,5,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[3,4,1,7,2,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,4,1,7,2,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,4,1,7,5,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,4,1,7,5,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[3,4,1,7,6,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,4,1,7,6,5,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[3,4,2,1,5,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[3,4,2,1,5,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[3,4,2,1,6,5,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[3,4,2,1,6,7,5] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[3,4,2,1,7,5,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[3,4,2,1,7,6,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[3,4,2,5,1,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,4,2,5,1,7,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,4,2,5,6,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,4,2,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[3,4,2,5,7,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,4,2,5,7,6,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[3,4,2,6,1,5,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,4,2,6,1,7,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,4,2,6,5,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,4,2,6,5,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[3,4,2,6,7,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,4,2,6,7,5,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[3,4,2,7,1,5,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,4,2,7,1,6,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,4,2,7,5,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,4,2,7,5,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[3,4,2,7,6,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,4,2,7,6,5,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[3,4,5,1,2,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[3,4,5,1,6,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,4,5,1,6,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[3,4,5,1,7,2,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,4,5,1,7,6,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[3,4,5,2,1,6,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[3,4,5,2,1,7,6] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[3,4,5,2,6,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,4,5,2,6,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[3,4,5,2,7,1,6] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,4,5,2,7,6,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[3,4,5,6,1,7,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[3,4,5,6,2,1,7] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,2,1] => 4

[3,4,5,6,2,7,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,2,1] => 4

[3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,2] => 5

[3,4,5,6,7,2,1] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,1,1] => 5

[3,4,5,7,1,2,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[3,4,5,7,1,6,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[3,4,5,7,2,1,6] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,2,1] => 4

[3,4,5,7,2,6,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,2,1] => 4

[3,4,5,7,6,1,2] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,2,1] => 4

[3,4,5,7,6,2,1] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,1,1,1] => 4

[3,4,6,1,2,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[3,4,6,1,2,7,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[3,4,6,1,5,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,4,6,1,5,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[3,4,6,1,7,2,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,4,6,1,7,5,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[3,4,6,2,1,5,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[3,4,6,2,1,7,5] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[3,4,6,2,5,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,4,6,2,5,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[3,4,6,2,7,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,4,6,2,7,5,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[3,4,6,5,1,2,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[3,4,6,5,1,7,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[3,4,6,5,2,1,7] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,2,1,1] => 3

[3,4,6,5,2,7,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,2,1,1] => 3

[3,4,6,5,7,1,2] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[3,4,6,5,7,2,1] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [4,1,1,1] => 4

[3,4,6,7,1,2,5] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[3,4,6,7,1,5,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[3,4,6,7,2,1,5] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,2,1] => 4

[3,4,6,7,2,5,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,2,1] => 4

[3,4,6,7,5,1,2] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,2,1] => 4

[3,4,6,7,5,2,1] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,1,1,1] => 4

[3,4,7,1,2,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[3,4,7,1,2,6,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[3,4,7,1,5,2,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,4,7,1,5,6,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[3,4,7,1,6,2,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,4,7,1,6,5,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[3,4,7,2,1,5,6] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[3,4,7,2,1,6,5] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[3,4,7,2,5,1,6] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,4,7,2,5,6,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[3,4,7,2,6,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,4,7,2,6,5,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[3,4,7,5,1,2,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[3,4,7,5,1,6,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[3,4,7,5,2,1,6] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,2,1,1] => 3

[3,4,7,5,2,6,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,2,1,1] => 3

[3,4,7,5,6,1,2] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,2,1] => 4

[3,4,7,5,6,2,1] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [4,1,1,1] => 4

[3,4,7,6,1,2,5] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[3,4,7,6,1,5,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[3,4,7,6,2,1,5] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,2,1,1] => 3

[3,4,7,6,2,5,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,2,1,1] => 3

[3,4,7,6,5,1,2] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,2,1,1] => 3

[3,4,7,6,5,2,1] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,1,1,1,1] => 3

[3,5,1,2,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[3,5,1,2,4,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[3,5,1,2,6,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[3,5,1,2,6,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[3,5,1,2,7,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[3,5,1,2,7,6,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[3,5,1,4,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,5,1,4,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,5,1,4,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,5,1,4,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[3,5,1,4,7,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,5,1,4,7,6,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[3,5,1,6,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,5,1,6,2,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,5,1,6,4,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,5,1,6,4,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[3,5,1,6,7,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,5,1,6,7,4,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[3,5,1,7,2,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,5,1,7,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,5,1,7,4,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,5,1,7,4,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[3,5,1,7,6,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,5,1,7,6,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[3,5,2,1,4,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[3,5,2,1,4,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[3,5,2,1,6,4,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[3,5,2,1,6,7,4] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[3,5,2,1,7,4,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[3,5,2,1,7,6,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[3,5,2,4,1,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,5,2,4,1,7,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,5,2,4,6,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,5,2,4,6,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[3,5,2,4,7,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,5,2,4,7,6,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[3,5,2,6,1,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,5,2,6,1,7,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,5,2,6,4,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,5,2,6,4,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[3,5,2,6,7,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,5,2,6,7,4,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[3,5,2,7,1,4,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,5,2,7,1,6,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,5,2,7,4,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,5,2,7,4,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[3,5,2,7,6,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,5,2,7,6,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[3,5,4,1,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[3,5,4,1,2,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[3,5,4,1,6,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,5,4,1,6,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[3,5,4,1,7,2,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,5,4,1,7,6,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[3,5,4,2,1,6,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[3,5,4,2,1,7,6] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[3,5,4,2,6,1,7] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,5,4,2,6,7,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[3,5,4,2,7,1,6] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,5,4,2,7,6,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[3,5,4,6,1,2,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[3,5,4,6,1,7,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[3,5,4,6,2,1,7] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[3,5,4,6,2,7,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[3,5,4,6,7,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[3,5,4,6,7,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [4,1,1,1] => 4

[3,5,4,7,1,2,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[3,5,4,7,1,6,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[3,5,4,7,2,1,6] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[3,5,4,7,2,6,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[3,5,4,7,6,1,2] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[3,5,4,7,6,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [3,1,1,1,1] => 3

[3,5,6,1,2,4,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[3,5,6,1,2,7,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[3,5,6,1,4,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,5,6,1,4,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[3,5,6,1,7,2,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,5,6,1,7,4,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[3,5,6,2,1,4,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[3,5,6,2,1,7,4] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[3,5,6,2,4,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,5,6,2,4,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[3,5,6,2,7,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,5,6,2,7,4,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[3,5,6,4,1,2,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[3,5,6,4,1,7,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[3,5,6,4,2,1,7] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1] => 3

[3,5,6,4,2,7,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,1,1] => 3

[3,5,6,4,7,1,2] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[3,5,6,4,7,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,2,1,1] => 3

[3,5,6,7,1,2,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[3,5,6,7,1,4,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[3,5,6,7,2,1,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,2,1] => 4

[3,5,6,7,2,4,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,2,1] => 4

[3,5,6,7,4,1,2] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,2,1] => 4

[3,5,6,7,4,2,1] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,1,1,1] => 4

[3,5,7,1,2,4,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[3,5,7,1,2,6,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[3,5,7,1,4,2,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,5,7,1,4,6,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[3,5,7,1,6,2,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,5,7,1,6,4,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[3,5,7,2,1,4,6] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[3,5,7,2,1,6,4] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[3,5,7,2,4,1,6] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,5,7,2,4,6,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[3,5,7,2,6,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,5,7,2,6,4,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[3,5,7,4,1,2,6] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[3,5,7,4,1,6,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[3,5,7,4,2,1,6] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1] => 3

[3,5,7,4,2,6,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,1,1] => 3

[3,5,7,4,6,1,2] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[3,5,7,4,6,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,2,1,1] => 3

[3,5,7,6,1,2,4] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[3,5,7,6,1,4,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[3,5,7,6,2,1,4] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,2,1,1] => 3

[3,5,7,6,2,4,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,2,1,1] => 3

[3,5,7,6,4,1,2] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,2,1,1] => 3

[3,5,7,6,4,2,1] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,1,1,1,1] => 3

[3,6,1,2,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[3,6,1,2,4,7,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[3,6,1,2,5,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[3,6,1,2,5,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[3,6,1,2,7,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[3,6,1,2,7,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[3,6,1,4,2,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,6,1,4,2,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,6,1,4,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,6,1,4,5,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[3,6,1,4,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,6,1,4,7,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[3,6,1,5,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,6,1,5,2,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,6,1,5,4,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,6,1,5,4,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[3,6,1,5,7,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,6,1,5,7,4,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[3,6,1,7,2,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,6,1,7,2,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,6,1,7,4,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,6,1,7,4,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[3,6,1,7,5,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,6,1,7,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[3,6,2,1,4,5,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[3,6,2,1,4,7,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[3,6,2,1,5,4,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[3,6,2,1,5,7,4] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[3,6,2,1,7,4,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[3,6,2,1,7,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[3,6,2,4,1,5,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,6,2,4,1,7,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,6,2,4,5,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,6,2,4,5,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[3,6,2,4,7,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,6,2,4,7,5,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[3,6,2,5,1,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,6,2,5,1,7,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,6,2,5,4,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,6,2,5,4,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[3,6,2,5,7,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,6,2,5,7,4,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[3,6,2,7,1,4,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,6,2,7,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,6,2,7,4,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,6,2,7,4,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[3,6,2,7,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,6,2,7,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[3,6,4,1,2,5,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[3,6,4,1,2,7,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[3,6,4,1,5,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,6,4,1,5,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[3,6,4,1,7,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,6,4,1,7,5,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[3,6,4,2,1,5,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[3,6,4,2,1,7,5] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[3,6,4,2,5,1,7] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,6,4,2,5,7,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[3,6,4,2,7,1,5] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,6,4,2,7,5,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[3,6,4,5,1,2,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[3,6,4,5,1,7,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[3,6,4,5,2,1,7] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[3,6,4,5,2,7,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[3,6,4,5,7,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[3,6,4,5,7,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [4,1,1,1] => 4

[3,6,4,7,1,2,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[3,6,4,7,1,5,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[3,6,4,7,2,1,5] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[3,6,4,7,2,5,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[3,6,4,7,5,1,2] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[3,6,4,7,5,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [3,1,1,1,1] => 3

[3,6,5,1,2,4,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[3,6,5,1,2,7,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[3,6,5,1,4,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,6,5,1,4,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[3,6,5,1,7,2,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,6,5,1,7,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[3,6,5,2,1,4,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[3,6,5,2,1,7,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[3,6,5,2,4,1,7] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,6,5,2,4,7,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[3,6,5,2,7,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,6,5,2,7,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[3,6,5,4,1,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[3,6,5,4,1,7,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[3,6,5,4,2,1,7] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,2,1,1,1] => 2

[3,6,5,4,2,7,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,2,1,1,1] => 2

[3,6,5,4,7,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[3,6,5,4,7,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [3,1,1,1,1] => 3

[3,6,5,7,1,2,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[3,6,5,7,1,4,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[3,6,5,7,2,1,4] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[3,6,5,7,2,4,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[3,6,5,7,4,1,2] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[3,6,5,7,4,2,1] => [[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [3,1,1,1,1] => 3

[3,6,7,1,2,4,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[3,6,7,1,2,5,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[3,6,7,1,4,2,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,6,7,1,4,5,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[3,6,7,1,5,2,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[3,6,7,1,5,4,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[3,6,7,2,1,4,5] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[3,6,7,2,1,5,4] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[3,6,7,2,4,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,6,7,2,4,5,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[3,6,7,2,5,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[3,6,7,2,5,4,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[3,6,7,4,1,2,5] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[3,6,7,4,1,5,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[3,6,7,4,2,1,5] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1] => 3

[3,6,7,4,2,5,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,1,1] => 3

[3,6,7,4,5,1,2] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,2,2] => 3

[3,6,7,4,5,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,2,1,1] => 3

[3,6,7,5,1,2,4] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[3,6,7,5,1,4,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[3,6,7,5,2,1,4] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1] => 3

[3,6,7,5,2,4,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,1,1] => 3

[3,6,7,5,4,1,2] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,1,1] => 3

[3,6,7,5,4,2,1] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,1,1,1,1] => 3

[3,7,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[3,7,1,2,4,6,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[3,7,1,2,5,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[3,7,1,2,5,6,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[3,7,1,2,6,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[3,7,1,2,6,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[3,7,1,4,2,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,7,1,4,2,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,7,1,4,5,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,7,1,4,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[3,7,1,4,6,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,7,1,4,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[3,7,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,7,1,5,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,7,1,5,4,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,7,1,5,4,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[3,7,1,5,6,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[3,7,1,5,6,4,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[3,7,1,6,2,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[3,7,1,6,2,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[3,7,1,6,4,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,7,1,6,4,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[3,7,1,6,5,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[3,7,2,1,4,5,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[3,7,2,1,4,6,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[3,7,2,1,5,4,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[3,7,2,1,5,6,4] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[3,7,2,1,6,4,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[3,7,2,4,1,5,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,7,2,4,1,6,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,7,2,4,5,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,7,2,4,5,6,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[3,7,2,4,6,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,7,2,4,6,5,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[3,7,2,5,1,4,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,7,2,5,1,6,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,7,2,5,4,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,7,2,5,4,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[3,7,2,5,6,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[3,7,2,5,6,4,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[3,7,2,6,1,4,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[3,7,2,6,4,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,7,2,6,4,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[3,7,4,1,2,5,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[3,7,4,1,2,6,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[3,7,4,1,5,2,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,7,4,1,5,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[3,7,4,1,6,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,7,4,1,6,5,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[3,7,4,2,1,5,6] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[3,7,4,2,1,6,5] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[3,7,4,2,5,1,6] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,7,4,2,5,6,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[3,7,4,2,6,1,5] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,7,4,2,6,5,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[3,7,4,5,1,2,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[3,7,4,5,1,6,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[3,7,4,5,2,1,6] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[3,7,4,5,2,6,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[3,7,4,5,6,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [4,2,1] => 4

[3,7,4,5,6,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [4,1,1,1] => 4

[3,7,4,6,1,2,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[3,7,4,6,1,5,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[3,7,4,6,2,1,5] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[3,7,4,6,2,5,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[3,7,4,6,5,1,2] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,2,1,1] => 3

[3,7,4,6,5,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [3,1,1,1,1] => 3

[3,7,5,1,2,4,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[3,7,5,1,2,6,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[3,7,5,1,4,2,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,7,5,1,4,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[3,7,5,1,6,2,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,7,5,1,6,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[3,7,5,2,1,4,6] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[3,7,5,2,1,6,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[3,7,5,2,4,1,6] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,7,5,2,4,6,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[3,7,5,2,6,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,7,5,2,6,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[3,7,5,4,1,2,6] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[3,7,5,4,1,6,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[3,7,5,4,2,1,6] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,2,1,1,1] => 2

[3,7,5,4,2,6,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,2,1,1,1] => 2

[3,7,5,4,6,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[3,7,5,4,6,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [3,1,1,1,1] => 3

[3,7,5,6,1,2,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[3,7,5,6,1,4,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[3,7,5,6,2,1,4] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[3,7,5,6,2,4,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[3,7,5,6,4,1,2] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [3,2,1,1] => 3

[3,7,5,6,4,2,1] => [[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [3,1,1,1,1] => 3

[3,7,6,1,2,4,5] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[3,7,6,1,2,5,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[3,7,6,1,4,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,7,6,1,4,5,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[3,7,6,1,5,2,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[3,7,6,2,1,4,5] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[3,7,6,2,4,1,5] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,7,6,2,4,5,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[3,7,6,4,1,2,5] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[3,7,6,4,1,5,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[3,7,6,4,2,1,5] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,2,1,1,1] => 2

[3,7,6,4,2,5,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,2,1,1,1] => 2

[3,7,6,4,5,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [3,2,1,1] => 3

[3,7,6,4,5,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [3,1,1,1,1] => 3

[3,7,6,5,1,2,4] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,2,1,1,1] => 2

[3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,2,1,1,1] => 2

[3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,2,1,1,1] => 2

[3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,1,1,1,1,1] => 2

[4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,1] => 6

[4,1,2,3,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,1,1] => 5

[4,1,2,3,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[4,1,2,3,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,1,1] => 5

[4,1,2,3,7,5,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[4,1,2,3,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,1,1,1] => 4

[4,1,2,5,3,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[4,1,2,5,3,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[4,1,2,5,6,3,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[4,1,2,5,6,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1] => 5

[4,1,2,5,7,3,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[4,1,2,5,7,6,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,1,1,1] => 4

[4,1,2,6,3,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[4,1,2,6,3,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[4,1,2,6,5,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[4,1,2,6,5,7,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[4,1,2,6,7,3,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[4,1,2,6,7,5,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,1,1] => 4

[4,1,2,7,3,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[4,1,2,7,3,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[4,1,2,7,5,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[4,1,2,7,5,6,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[4,1,2,7,6,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[4,1,2,7,6,5,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,1,1,1,1] => 3

[4,1,3,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[4,1,3,2,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[4,1,3,2,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[4,1,3,2,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[4,1,3,2,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[4,1,3,2,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[4,1,3,5,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[4,1,3,5,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[4,1,3,5,6,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[4,1,3,5,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,1,1] => 5

[4,1,3,5,7,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[4,1,3,5,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,1,1,1] => 4

[4,1,3,6,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[4,1,3,6,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[4,1,3,6,5,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[4,1,3,6,5,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[4,1,3,6,7,2,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[4,1,3,6,7,5,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,1,1] => 4

[4,1,3,7,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[4,1,3,7,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[4,1,3,7,5,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[4,1,3,7,5,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[4,1,3,7,6,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[4,1,3,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,1,1,1,1] => 3

[4,1,5,2,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[4,1,5,2,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[4,1,5,2,6,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[4,1,5,2,6,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[4,1,5,2,7,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[4,1,5,2,7,6,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[4,1,5,3,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[4,1,5,3,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[4,1,5,3,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[4,1,5,3,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[4,1,5,3,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[4,1,5,3,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[4,1,5,6,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[4,1,5,6,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[4,1,5,6,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[4,1,5,6,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[4,1,5,6,7,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[4,1,5,6,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,1,1] => 4

[4,1,5,7,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[4,1,5,7,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[4,1,5,7,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[4,1,5,7,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[4,1,5,7,6,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[4,1,5,7,6,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,1,1,1,1] => 3

[4,1,6,2,3,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[4,1,6,2,3,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[4,1,6,2,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[4,1,6,2,5,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[4,1,6,2,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[4,1,6,2,7,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[4,1,6,3,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[4,1,6,3,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[4,1,6,3,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[4,1,6,3,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[4,1,6,3,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[4,1,6,3,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[4,1,6,5,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[4,1,6,5,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[4,1,6,5,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[4,1,6,5,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[4,1,6,5,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[4,1,6,5,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[4,1,6,7,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[4,1,6,7,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[4,1,6,7,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[4,1,6,7,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[4,1,6,7,5,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[4,1,6,7,5,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,1,1,1,1] => 3

[4,1,7,2,3,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[4,1,7,2,3,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[4,1,7,2,5,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[4,1,7,2,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[4,1,7,2,6,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[4,1,7,2,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[4,1,7,3,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[4,1,7,3,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[4,1,7,3,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[4,1,7,3,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[4,1,7,3,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[4,1,7,3,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[4,1,7,5,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[4,1,7,5,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[4,1,7,5,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[4,1,7,5,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[4,1,7,5,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[4,1,7,5,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[4,1,7,6,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[4,1,7,6,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[4,1,7,6,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[4,1,7,6,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[4,1,7,6,5,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,1,1,1,1,1] => 2

[4,2,1,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[4,2,1,3,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[4,2,1,3,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[4,2,1,3,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[4,2,1,3,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[4,2,1,3,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[4,2,1,5,3,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[4,2,1,5,3,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[4,2,1,5,6,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[4,2,1,5,6,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[4,2,1,5,7,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[4,2,1,5,7,6,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[4,2,1,6,3,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[4,2,1,6,3,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[4,2,1,6,5,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[4,2,1,6,5,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[4,2,1,6,7,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[4,2,1,6,7,5,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[4,2,1,7,3,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[4,2,1,7,3,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[4,2,1,7,5,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[4,2,1,7,5,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[4,2,1,7,6,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[4,2,3,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[4,2,3,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[4,2,3,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,2,3,1,6,7,5] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[4,2,3,1,7,5,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,2,3,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[4,2,3,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,2,3,5,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,2,3,5,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[4,2,3,5,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,1,1] => 5

[4,2,3,5,7,1,6] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[4,2,3,5,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1] => 4

[4,2,3,6,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,2,3,6,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,2,3,6,5,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[4,2,3,6,5,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[4,2,3,6,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[4,2,3,6,7,5,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,1,1,1] => 4

[4,2,3,7,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,2,3,7,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,2,3,7,5,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[4,2,3,7,5,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[4,2,3,7,6,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[4,2,3,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,1,1,1,1] => 3

[4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[4,2,5,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[4,2,5,1,6,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,2,5,1,6,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[4,2,5,1,7,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,2,5,1,7,6,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[4,2,5,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,2,5,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,2,5,3,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,2,5,3,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[4,2,5,3,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,2,5,3,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[4,2,5,6,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,2,5,6,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,2,5,6,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[4,2,5,6,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[4,2,5,6,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[4,2,5,6,7,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,1,1,1] => 4

[4,2,5,7,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,2,5,7,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,2,5,7,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[4,2,5,7,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[4,2,5,7,6,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[4,2,5,7,6,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,1,1,1,1] => 3

[4,2,6,1,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[4,2,6,1,3,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[4,2,6,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,2,6,1,5,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[4,2,6,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,2,6,1,7,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[4,2,6,3,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,2,6,3,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,2,6,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,2,6,3,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[4,2,6,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,2,6,3,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[4,2,6,5,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,2,6,5,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,2,6,5,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[4,2,6,5,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[4,2,6,5,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,2,6,5,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[4,2,6,7,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,2,6,7,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,2,6,7,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[4,2,6,7,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[4,2,6,7,5,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[4,2,6,7,5,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,1,1,1,1] => 3

[4,2,7,1,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[4,2,7,1,3,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[4,2,7,1,5,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,2,7,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[4,2,7,1,6,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[4,2,7,3,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,2,7,3,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,2,7,3,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,2,7,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[4,2,7,3,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,2,7,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[4,2,7,5,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,2,7,5,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,2,7,5,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[4,2,7,5,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[4,2,7,5,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,2,7,5,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[4,2,7,6,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,2,7,6,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[4,2,7,6,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,1,1,1,1,1] => 2

[4,3,1,2,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[4,3,1,2,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[4,3,1,2,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[4,3,1,2,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[4,3,1,2,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[4,3,1,2,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[4,3,1,5,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[4,3,1,5,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[4,3,1,5,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[4,3,1,5,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[4,3,1,5,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[4,3,1,5,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[4,3,1,6,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[4,3,1,6,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[4,3,1,6,5,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[4,3,1,6,5,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[4,3,1,6,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[4,3,1,6,7,5,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[4,3,1,7,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[4,3,1,7,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[4,3,1,7,5,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[4,3,1,7,5,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[4,3,1,7,6,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[4,3,2,1,5,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[4,3,2,1,6,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[4,3,2,1,6,7,5] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[4,3,2,1,7,5,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[4,3,2,5,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[4,3,2,5,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[4,3,2,5,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[4,3,2,5,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[4,3,2,5,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[4,3,2,5,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[4,3,2,6,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[4,3,2,6,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[4,3,2,6,5,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[4,3,2,6,5,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[4,3,2,6,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[4,3,2,6,7,5,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[4,3,2,7,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[4,3,2,7,5,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[4,3,2,7,5,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[4,3,5,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[4,3,5,1,2,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[4,3,5,1,6,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,3,5,1,6,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[4,3,5,1,7,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,3,5,1,7,6,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[4,3,5,2,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[4,3,5,2,1,7,6] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[4,3,5,2,6,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[4,3,5,2,6,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[4,3,5,2,7,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[4,3,5,2,7,6,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[4,3,5,6,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,3,5,6,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,3,5,6,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[4,3,5,6,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[4,3,5,6,7,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[4,3,5,6,7,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,1,1,1] => 4

[4,3,5,7,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,3,5,7,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,3,5,7,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[4,3,5,7,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[4,3,5,7,6,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[4,3,5,7,6,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,1,1,1,1] => 3

[4,3,6,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[4,3,6,1,2,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[4,3,6,1,5,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,3,6,1,5,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[4,3,6,1,7,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,3,6,1,7,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[4,3,6,2,1,5,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[4,3,6,2,1,7,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[4,3,6,2,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[4,3,6,2,5,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[4,3,6,2,7,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[4,3,6,2,7,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[4,3,6,5,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,3,6,5,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,3,6,5,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[4,3,6,5,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[4,3,6,5,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,3,6,5,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 3

[4,3,6,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[4,3,6,7,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[4,3,6,7,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[4,3,6,7,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[4,3,6,7,5,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[4,3,6,7,5,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,1,1,1,1] => 3

[4,3,7,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[4,3,7,1,2,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[4,3,7,1,5,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,3,7,1,5,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[4,3,7,1,6,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[4,3,7,2,1,5,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[4,3,7,2,5,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[4,3,7,2,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[4,3,7,5,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,3,7,5,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,3,7,5,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[4,3,7,5,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[4,3,7,5,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[4,3,7,5,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 3

[4,3,7,6,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,1,1,1,1,1] => 2

[4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[4,5,1,2,3,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[4,5,1,2,6,3,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[4,5,1,2,6,7,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[4,5,1,2,7,3,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[4,5,1,2,7,6,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[4,5,1,3,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,5,1,3,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,5,1,3,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,5,1,3,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[4,5,1,3,7,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,5,1,3,7,6,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[4,5,1,6,2,3,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,5,1,6,2,7,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,5,1,6,3,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,5,1,6,3,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[4,5,1,6,7,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,5,1,6,7,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[4,5,1,7,2,3,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,5,1,7,2,6,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,5,1,7,3,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,5,1,7,3,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[4,5,1,7,6,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,5,1,7,6,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[4,5,2,1,3,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[4,5,2,1,3,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[4,5,2,1,6,3,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,5,2,1,6,7,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[4,5,2,1,7,3,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,5,2,1,7,6,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[4,5,2,3,1,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,5,2,3,1,7,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,5,2,3,6,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,5,2,3,6,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[4,5,2,3,7,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,5,2,3,7,6,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[4,5,2,6,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,5,2,6,1,7,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,5,2,6,3,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,5,2,6,3,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[4,5,2,6,7,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,5,2,6,7,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[4,5,2,7,1,3,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,5,2,7,1,6,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,5,2,7,3,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,5,2,7,3,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[4,5,2,7,6,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,5,2,7,6,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[4,5,3,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[4,5,3,1,2,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[4,5,3,1,6,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,5,3,1,6,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[4,5,3,1,7,2,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,5,3,1,7,6,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[4,5,3,2,1,6,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[4,5,3,2,1,7,6] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[4,5,3,2,6,1,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[4,5,3,2,6,7,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[4,5,3,2,7,1,6] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[4,5,3,2,7,6,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[4,5,3,6,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,5,3,6,1,7,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,5,3,6,2,1,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[4,5,3,6,2,7,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[4,5,3,6,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,5,3,6,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [3,2,1,1] => 3

[4,5,3,7,1,2,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,5,3,7,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,5,3,7,2,1,6] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[4,5,3,7,2,6,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[4,5,3,7,6,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,5,3,7,6,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,2,1,1,1] => 2

[4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[4,5,6,1,3,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[4,5,6,1,3,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[4,5,6,1,7,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[4,5,6,1,7,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[4,5,6,2,1,3,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[4,5,6,2,1,7,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[4,5,6,2,3,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,5,6,2,3,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[4,5,6,2,7,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,5,6,2,7,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[4,5,6,3,1,2,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[4,5,6,3,1,7,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[4,5,6,3,2,1,7] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,1] => 3

[4,5,6,3,2,7,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,1] => 3

[4,5,6,3,7,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,5,6,3,7,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,1] => 3

[4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3] => 4

[4,5,6,7,1,3,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,2,1] => 4

[4,5,6,7,2,1,3] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,2,1] => 4

[4,5,6,7,2,3,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,2,1] => 4

[4,5,6,7,3,1,2] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,2,1] => 4

[4,5,6,7,3,2,1] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,1,1,1] => 4

[4,5,7,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[4,5,7,1,2,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[4,5,7,1,3,2,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[4,5,7,1,3,6,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[4,5,7,1,6,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[4,5,7,1,6,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[4,5,7,2,1,3,6] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[4,5,7,2,1,6,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[4,5,7,2,3,1,6] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,5,7,2,3,6,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[4,5,7,2,6,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,5,7,2,6,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[4,5,7,3,1,2,6] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[4,5,7,3,1,6,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[4,5,7,3,2,1,6] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,1] => 3

[4,5,7,3,2,6,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,1] => 3

[4,5,7,3,6,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,5,7,3,6,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,1] => 3

[4,5,7,6,1,2,3] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,3,1] => 3

[4,5,7,6,1,3,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,2,1,1] => 3

[4,5,7,6,2,1,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,2,1,1] => 3

[4,5,7,6,2,3,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,2,1,1] => 3

[4,5,7,6,3,1,2] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,2,1,1] => 3

[4,5,7,6,3,2,1] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,1,1,1,1] => 3

[4,6,1,2,3,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[4,6,1,2,3,7,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[4,6,1,2,5,3,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[4,6,1,2,5,7,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[4,6,1,2,7,3,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[4,6,1,2,7,5,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[4,6,1,3,2,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,6,1,3,2,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,6,1,3,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,6,1,3,5,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[4,6,1,3,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,6,1,3,7,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[4,6,1,5,2,3,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,6,1,5,2,7,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,6,1,5,3,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,6,1,5,3,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[4,6,1,5,7,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,6,1,5,7,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[4,6,1,7,2,3,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,6,1,7,2,5,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,6,1,7,3,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,6,1,7,3,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[4,6,1,7,5,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,6,1,7,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[4,6,2,1,3,5,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[4,6,2,1,3,7,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[4,6,2,1,5,3,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,6,2,1,5,7,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[4,6,2,1,7,3,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,6,2,1,7,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[4,6,2,3,1,5,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,6,2,3,1,7,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,6,2,3,5,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,6,2,3,5,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[4,6,2,3,7,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,6,2,3,7,5,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[4,6,2,5,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,6,2,5,1,7,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,6,2,5,3,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,6,2,5,3,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[4,6,2,5,7,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,6,2,5,7,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[4,6,2,7,1,3,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,6,2,7,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,6,2,7,3,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,6,2,7,3,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[4,6,2,7,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,6,2,7,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[4,6,3,1,2,5,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[4,6,3,1,2,7,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[4,6,3,1,5,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,6,3,1,5,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[4,6,3,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,6,3,1,7,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[4,6,3,2,1,5,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[4,6,3,2,1,7,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[4,6,3,2,5,1,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[4,6,3,2,5,7,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[4,6,3,2,7,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[4,6,3,2,7,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[4,6,3,5,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,6,3,5,1,7,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,6,3,5,2,1,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[4,6,3,5,2,7,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[4,6,3,5,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,6,3,5,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [3,2,1,1] => 3

[4,6,3,7,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,6,3,7,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,6,3,7,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[4,6,3,7,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[4,6,3,7,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,6,3,7,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,2,1,1,1] => 2

[4,6,5,1,2,3,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[4,6,5,1,2,7,3] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[4,6,5,1,3,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[4,6,5,1,3,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[4,6,5,1,7,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[4,6,5,1,7,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[4,6,5,2,1,3,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[4,6,5,2,1,7,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[4,6,5,2,3,1,7] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,6,5,2,3,7,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[4,6,5,2,7,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,6,5,2,7,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[4,6,5,3,1,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[4,6,5,3,1,7,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[4,6,5,3,2,1,7] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,2,1,1,1] => 2

[4,6,5,3,2,7,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,2,1,1,1] => 2

[4,6,5,3,7,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,6,5,3,7,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [2,2,1,1,1] => 2

[4,6,5,7,1,2,3] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[4,6,5,7,1,3,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[4,6,5,7,2,1,3] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[4,6,5,7,2,3,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[4,6,5,7,3,1,2] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[4,6,5,7,3,2,1] => [[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [3,1,1,1,1] => 3

[4,6,7,1,2,3,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[4,6,7,1,2,5,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[4,6,7,1,3,2,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[4,6,7,1,3,5,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[4,6,7,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[4,6,7,1,5,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[4,6,7,2,1,3,5] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[4,6,7,2,1,5,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[4,6,7,2,3,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,6,7,2,3,5,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[4,6,7,2,5,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,6,7,2,5,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[4,6,7,3,1,2,5] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[4,6,7,3,1,5,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[4,6,7,3,2,1,5] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,1] => 3

[4,6,7,3,2,5,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,1] => 3

[4,6,7,3,5,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[4,6,7,3,5,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,1] => 3

[4,6,7,5,1,2,3] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,3,1] => 3

[4,6,7,5,1,3,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,1,1] => 3

[4,6,7,5,2,1,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1] => 3

[4,6,7,5,2,3,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,1,1] => 3

[4,6,7,5,3,1,2] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,1,1] => 3

[4,6,7,5,3,2,1] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,1,1,1,1] => 3

[4,7,1,2,3,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[4,7,1,2,3,6,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[4,7,1,2,5,3,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[4,7,1,2,5,6,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[4,7,1,2,6,3,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[4,7,1,2,6,5,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[4,7,1,3,2,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,7,1,3,2,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,7,1,3,5,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,7,1,3,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[4,7,1,3,6,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,7,1,3,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[4,7,1,5,2,3,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,7,1,5,2,6,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,7,1,5,3,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,7,1,5,3,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[4,7,1,5,6,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[4,7,1,5,6,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[4,7,1,6,2,3,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[4,7,1,6,2,5,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[4,7,1,6,3,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,7,1,6,3,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[4,7,1,6,5,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[4,7,2,1,3,5,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[4,7,2,1,3,6,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[4,7,2,1,5,3,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,7,2,1,5,6,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[4,7,2,1,6,3,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[4,7,2,3,1,5,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,7,2,3,1,6,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,7,2,3,5,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,7,2,3,5,6,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[4,7,2,3,6,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,7,2,3,6,5,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[4,7,2,5,1,3,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,7,2,5,1,6,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,7,2,5,3,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,7,2,5,3,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[4,7,2,5,6,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,7,2,5,6,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[4,7,2,6,1,3,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,7,2,6,3,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,7,2,6,3,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[4,7,3,1,2,5,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[4,7,3,1,2,6,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[4,7,3,1,5,2,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,7,3,1,5,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[4,7,3,1,6,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[4,7,3,2,1,5,6] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[4,7,3,2,5,1,6] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[4,7,3,2,5,6,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[4,7,3,5,1,2,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,7,3,5,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,7,3,5,2,1,6] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[4,7,3,5,2,6,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[4,7,3,5,6,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[4,7,3,5,6,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [3,2,1,1] => 3

[4,7,3,6,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,2,1,1,1] => 2

[4,7,5,1,2,3,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[4,7,5,1,2,6,3] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[4,7,5,1,3,2,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[4,7,5,1,3,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[4,7,5,1,6,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[4,7,5,1,6,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[4,7,5,2,1,3,6] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[4,7,5,2,1,6,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[4,7,5,2,3,1,6] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,7,5,2,3,6,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[4,7,5,2,6,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,7,5,2,6,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[4,7,5,3,1,2,6] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[4,7,5,3,1,6,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[4,7,5,3,2,1,6] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,2,1,1,1] => 2

[4,7,5,3,2,6,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,2,1,1,1] => 2

[4,7,5,3,6,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,7,5,3,6,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [2,2,1,1,1] => 2

[4,7,5,6,1,2,3] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [3,3,1] => 3

[4,7,5,6,1,3,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [3,2,1,1] => 3

[4,7,5,6,2,1,3] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[4,7,5,6,2,3,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [3,2,1,1] => 3

[4,7,5,6,3,1,2] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [3,2,1,1] => 3

[4,7,5,6,3,2,1] => [[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [3,1,1,1,1] => 3

[4,7,6,1,2,3,5] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[4,7,6,1,2,5,3] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[4,7,6,1,3,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[4,7,6,1,3,5,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[4,7,6,1,5,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[4,7,6,2,1,3,5] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[4,7,6,2,3,1,5] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,7,6,2,3,5,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[4,7,6,3,1,2,5] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,2,1,1,1] => 2

[4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,2,1,1,1] => 2

[4,7,6,3,5,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [2,2,1,1,1] => 2

[4,7,6,5,1,2,3] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [3,2,1,1] => 3

[4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,2,1,1,1] => 2

[4,7,6,5,2,1,3] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,2,1,1,1] => 2

[4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,2,1,1,1] => 2

[4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,2,1,1,1] => 2

[4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,1,1,1,1,1] => 2

[5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,1] => 6

[5,1,2,3,4,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,1,1] => 5

[5,1,2,3,6,4,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[5,1,2,3,6,7,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,1,1] => 5

[5,1,2,3,7,4,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[5,1,2,3,7,6,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,1,1,1] => 4

[5,1,2,4,3,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[5,1,2,4,3,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[5,1,2,4,6,3,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[5,1,2,4,6,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1] => 5

[5,1,2,4,7,3,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[5,1,2,4,7,6,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,1,1,1] => 4

[5,1,2,6,3,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[5,1,2,6,3,7,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[5,1,2,6,4,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[5,1,2,6,4,7,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[5,1,2,6,7,3,4] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[5,1,2,6,7,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,1,1] => 4

[5,1,2,7,3,4,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[5,1,2,7,3,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[5,1,2,7,4,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[5,1,2,7,4,6,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[5,1,2,7,6,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[5,1,2,7,6,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,1,1,1,1] => 3

[5,1,3,2,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[5,1,3,2,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[5,1,3,2,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[5,1,3,2,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[5,1,3,2,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[5,1,3,2,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[5,1,3,4,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[5,1,3,4,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[5,1,3,4,6,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[5,1,3,4,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,1,1] => 5

[5,1,3,4,7,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[5,1,3,4,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,1,1,1] => 4

[5,1,3,6,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[5,1,3,6,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[5,1,3,6,4,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[5,1,3,6,4,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[5,1,3,6,7,2,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[5,1,3,6,7,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,1,1] => 4

[5,1,3,7,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[5,1,3,7,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[5,1,3,7,4,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[5,1,3,7,4,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[5,1,3,7,6,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[5,1,3,7,6,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,1,1,1,1] => 3

[5,1,4,2,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[5,1,4,2,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[5,1,4,2,6,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[5,1,4,2,6,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[5,1,4,2,7,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[5,1,4,2,7,6,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[5,1,4,3,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[5,1,4,3,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[5,1,4,3,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[5,1,4,3,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[5,1,4,3,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[5,1,4,3,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[5,1,4,6,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[5,1,4,6,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[5,1,4,6,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[5,1,4,6,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[5,1,4,6,7,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[5,1,4,6,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,1,1] => 4

[5,1,4,7,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[5,1,4,7,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[5,1,4,7,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[5,1,4,7,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[5,1,4,7,6,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[5,1,4,7,6,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,1,1,1,1] => 3

[5,1,6,2,3,4,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[5,1,6,2,3,7,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[5,1,6,2,4,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[5,1,6,2,4,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[5,1,6,2,7,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[5,1,6,2,7,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[5,1,6,3,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[5,1,6,3,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[5,1,6,3,4,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[5,1,6,3,4,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[5,1,6,3,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[5,1,6,3,7,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[5,1,6,4,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[5,1,6,4,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[5,1,6,4,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[5,1,6,4,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[5,1,6,4,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[5,1,6,4,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[5,1,6,7,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[5,1,6,7,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[5,1,6,7,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[5,1,6,7,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[5,1,6,7,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[5,1,6,7,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,1,1,1,1] => 3

[5,1,7,2,3,4,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[5,1,7,2,3,6,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[5,1,7,2,4,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[5,1,7,2,4,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[5,1,7,2,6,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[5,1,7,2,6,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[5,1,7,3,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[5,1,7,3,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[5,1,7,3,4,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[5,1,7,3,4,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[5,1,7,3,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[5,1,7,3,6,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[5,1,7,4,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[5,1,7,4,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[5,1,7,4,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[5,1,7,4,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[5,1,7,4,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[5,1,7,4,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[5,1,7,6,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[5,1,7,6,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[5,1,7,6,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[5,1,7,6,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[5,1,7,6,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,1,1,1,1,1] => 2

[5,2,1,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[5,2,1,3,4,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[5,2,1,3,6,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[5,2,1,3,6,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[5,2,1,3,7,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[5,2,1,3,7,6,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[5,2,1,4,3,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,2,1,4,3,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,2,1,4,6,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,2,1,4,6,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[5,2,1,4,7,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,2,1,4,7,6,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[5,2,1,6,3,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,2,1,6,3,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,2,1,6,4,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,2,1,6,4,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[5,2,1,6,7,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,2,1,6,7,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[5,2,1,7,3,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,2,1,7,3,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,2,1,7,4,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,2,1,7,4,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[5,2,1,7,6,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[5,2,3,1,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,2,3,1,4,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,2,3,1,6,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,2,3,1,6,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,2,3,1,7,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,2,3,1,7,6,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,2,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,2,3,4,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[5,2,3,4,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,1,1] => 5

[5,2,3,4,7,1,6] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[5,2,3,4,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1] => 4

[5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,2,3,6,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[5,2,3,6,4,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[5,2,3,6,7,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[5,2,3,6,7,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,1,1,1] => 4

[5,2,3,7,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,2,3,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,2,3,7,4,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[5,2,3,7,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[5,2,3,7,6,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[5,2,3,7,6,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,1,1,1,1] => 3

[5,2,4,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,2,4,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,2,4,1,6,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,2,4,1,6,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,2,4,1,7,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,2,4,1,7,6,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,2,4,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,2,4,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,2,4,3,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,2,4,3,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[5,2,4,3,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,2,4,3,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[5,2,4,6,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,2,4,6,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,2,4,6,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[5,2,4,6,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[5,2,4,6,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[5,2,4,6,7,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,1,1,1] => 4

[5,2,4,7,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,2,4,7,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,2,4,7,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[5,2,4,7,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[5,2,4,7,6,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[5,2,4,7,6,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,1,1,1,1] => 3

[5,2,6,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,2,6,1,3,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,2,6,1,4,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,2,6,1,4,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,2,6,1,7,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,2,6,1,7,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,2,6,3,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,2,6,3,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,2,6,3,4,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,2,6,3,4,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[5,2,6,3,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,2,6,3,7,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[5,2,6,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,2,6,4,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,2,6,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[5,2,6,4,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[5,2,6,4,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,2,6,4,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,2,6,7,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,2,6,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[5,2,6,7,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[5,2,6,7,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[5,2,6,7,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,1,1,1,1] => 3

[5,2,7,1,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,2,7,1,3,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,2,7,1,4,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,2,7,1,4,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,2,7,1,6,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,2,7,3,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,2,7,3,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,2,7,3,4,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,2,7,3,4,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[5,2,7,3,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,2,7,3,6,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[5,2,7,4,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,2,7,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,2,7,4,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[5,2,7,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[5,2,7,4,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,2,7,4,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[5,2,7,6,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,2,7,6,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[5,2,7,6,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,1,1,1,1,1] => 2

[5,3,1,2,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[5,3,1,2,4,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[5,3,1,2,6,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[5,3,1,2,6,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[5,3,1,2,7,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[5,3,1,2,7,6,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[5,3,1,4,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,3,1,4,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,3,1,4,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,3,1,4,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[5,3,1,4,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,3,1,4,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[5,3,1,6,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,3,1,6,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,3,1,6,4,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,3,1,6,4,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[5,3,1,6,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,3,1,6,7,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[5,3,1,7,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,3,1,7,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,3,1,7,4,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,3,1,7,4,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[5,3,1,7,6,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[5,3,2,1,4,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[5,3,2,1,4,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[5,3,2,1,6,4,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[5,3,2,1,6,7,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[5,3,2,1,7,4,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[5,3,2,4,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[5,3,2,4,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[5,3,2,4,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[5,3,2,4,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[5,3,2,4,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[5,3,2,4,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[5,3,2,6,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[5,3,2,6,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[5,3,2,6,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[5,3,2,6,4,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[5,3,2,6,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[5,3,2,6,7,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[5,3,2,7,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[5,3,2,7,4,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[5,3,2,7,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[5,3,4,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,3,4,1,2,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,3,4,1,6,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,3,4,1,6,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,3,4,1,7,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,3,4,1,7,6,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,3,4,2,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[5,3,4,2,1,7,6] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[5,3,4,2,6,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,3,4,2,6,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[5,3,4,2,7,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,3,4,2,7,6,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[5,3,4,6,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,3,4,6,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,3,4,6,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[5,3,4,6,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[5,3,4,6,7,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[5,3,4,6,7,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,1,1,1] => 4

[5,3,4,7,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,3,4,7,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,3,4,7,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[5,3,4,7,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[5,3,4,7,6,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[5,3,4,7,6,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,1,1,1,1] => 3

[5,3,6,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,3,6,1,2,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,3,6,1,4,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,3,6,1,4,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,3,6,1,7,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,3,6,1,7,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,3,6,2,1,4,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[5,3,6,2,1,7,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[5,3,6,2,4,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,3,6,2,4,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[5,3,6,2,7,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,3,6,2,7,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[5,3,6,4,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,3,6,4,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,3,6,4,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[5,3,6,4,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[5,3,6,4,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,3,6,4,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 3

[5,3,6,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,3,6,7,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,3,6,7,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[5,3,6,7,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[5,3,6,7,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[5,3,6,7,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,1,1,1,1] => 3

[5,3,7,1,2,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,3,7,1,2,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,3,7,1,4,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,3,7,1,4,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,3,7,1,6,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,3,7,2,1,4,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[5,3,7,2,4,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,3,7,2,4,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[5,3,7,4,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,3,7,4,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,3,7,4,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[5,3,7,4,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[5,3,7,4,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[5,3,7,4,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 3

[5,3,7,6,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,1,1,1,1,1] => 2

[5,4,1,2,3,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[5,4,1,2,3,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[5,4,1,2,6,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[5,4,1,2,6,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[5,4,1,2,7,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[5,4,1,2,7,6,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[5,4,1,3,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,4,1,3,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,4,1,3,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,4,1,3,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[5,4,1,3,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,4,1,3,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[5,4,1,6,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,4,1,6,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,4,1,6,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,4,1,6,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[5,4,1,6,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[5,4,1,6,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[5,4,1,7,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[5,4,1,7,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[5,4,1,7,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,4,1,7,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[5,4,1,7,6,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[5,4,2,1,3,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[5,4,2,1,3,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[5,4,2,1,6,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[5,4,2,1,6,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[5,4,2,1,7,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[5,4,2,3,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[5,4,2,3,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[5,4,2,3,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[5,4,2,3,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[5,4,2,3,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[5,4,2,3,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[5,4,2,6,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[5,4,2,6,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[5,4,2,6,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[5,4,2,6,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[5,4,2,6,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[5,4,2,6,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[5,4,2,7,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[5,4,2,7,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[5,4,2,7,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[5,4,3,1,2,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[5,4,3,1,2,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[5,4,3,1,6,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[5,4,3,1,6,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[5,4,3,1,7,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[5,4,3,2,6,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[5,4,3,2,6,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[5,4,3,2,7,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[5,4,3,6,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[5,4,3,6,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[5,4,3,6,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[5,4,3,6,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[5,4,3,6,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[5,4,3,6,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,1,1,1,1] => 3

[5,4,3,7,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[5,4,3,7,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[5,4,3,7,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[5,4,3,7,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[5,4,3,7,6,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[5,4,3,7,6,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,1,1,1,1,1] => 2

[5,4,6,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,4,6,1,2,7,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,4,6,1,3,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,4,6,1,3,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,4,6,1,7,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,4,6,1,7,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,4,6,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[5,4,6,2,1,7,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[5,4,6,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,4,6,2,3,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[5,4,6,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,4,6,2,7,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[5,4,6,3,1,2,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[5,4,6,3,1,7,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[5,4,6,3,2,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[5,4,6,3,2,7,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[5,4,6,3,7,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,4,6,3,7,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => 2

[5,4,6,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[5,4,6,7,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[5,4,6,7,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[5,4,6,7,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[5,4,6,7,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[5,4,6,7,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [3,1,1,1,1] => 3

[5,4,7,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[5,4,7,1,2,6,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[5,4,7,1,3,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,4,7,1,3,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[5,4,7,1,6,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[5,4,7,2,1,3,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[5,4,7,2,3,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,4,7,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,4,7,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[5,4,7,3,1,2,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[5,4,7,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[5,4,7,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[5,4,7,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[5,4,7,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[5,4,7,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => 2

[5,4,7,6,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[5,4,7,6,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[5,4,7,6,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[5,4,7,6,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[5,4,7,6,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[5,4,7,6,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,1,1,1,1,1] => 2

[5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[5,6,1,2,3,7,4] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[5,6,1,2,4,3,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[5,6,1,2,4,7,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[5,6,1,2,7,3,4] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[5,6,1,2,7,4,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[5,6,1,3,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[5,6,1,3,2,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[5,6,1,3,4,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[5,6,1,3,4,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[5,6,1,3,7,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[5,6,1,3,7,4,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[5,6,1,4,2,3,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[5,6,1,4,2,7,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[5,6,1,4,3,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[5,6,1,4,3,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[5,6,1,4,7,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[5,6,1,4,7,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[5,6,1,7,2,3,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[5,6,1,7,2,4,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[5,6,1,7,3,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[5,6,1,7,3,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[5,6,1,7,4,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[5,6,1,7,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[5,6,2,1,3,4,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[5,6,2,1,3,7,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[5,6,2,1,4,3,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,6,2,1,4,7,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[5,6,2,1,7,3,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,6,2,1,7,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[5,6,2,3,1,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,6,2,3,1,7,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,6,2,3,4,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[5,6,2,3,4,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[5,6,2,3,7,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[5,6,2,3,7,4,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[5,6,2,4,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,6,2,4,1,7,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,6,2,4,3,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[5,6,2,4,3,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[5,6,2,4,7,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[5,6,2,4,7,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[5,6,2,7,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,6,2,7,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,6,2,7,3,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[5,6,2,7,3,4,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[5,6,2,7,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[5,6,2,7,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[5,6,3,1,2,4,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[5,6,3,1,2,7,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[5,6,3,1,4,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,6,3,1,4,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[5,6,3,1,7,2,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,6,3,1,7,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[5,6,3,2,1,4,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[5,6,3,2,1,7,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[5,6,3,2,4,1,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,6,3,2,4,7,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[5,6,3,2,7,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,6,3,2,7,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,6,3,4,1,7,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,6,3,4,2,1,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[5,6,3,4,2,7,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[5,6,3,4,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[5,6,3,4,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [3,2,1,1] => 3

[5,6,3,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,6,3,7,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,6,3,7,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[5,6,3,7,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[5,6,3,7,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[5,6,3,7,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,2,1,1,1] => 2

[5,6,4,1,2,3,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[5,6,4,1,2,7,3] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[5,6,4,1,3,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,6,4,1,3,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[5,6,4,1,7,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,6,4,1,7,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[5,6,4,2,1,3,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[5,6,4,2,1,7,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[5,6,4,2,3,1,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,6,4,2,3,7,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[5,6,4,2,7,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,6,4,2,7,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[5,6,4,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[5,6,4,3,1,7,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[5,6,4,3,2,1,7] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1] => 2

[5,6,4,3,2,7,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,2,1,1,1] => 2

[5,6,4,3,7,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,6,4,3,7,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,2,1,1,1] => 2

[5,6,4,7,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,6,4,7,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,6,4,7,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[5,6,4,7,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[5,6,4,7,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[5,6,4,7,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,2,1,1,1] => 2

[5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3] => 4

[5,6,7,1,2,4,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,3,1] => 3

[5,6,7,1,3,2,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[5,6,7,1,3,4,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,3,1] => 3

[5,6,7,1,4,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,3,1] => 3

[5,6,7,1,4,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,1,1] => 3

[5,6,7,2,1,3,4] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[5,6,7,2,1,4,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[5,6,7,2,3,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[5,6,7,2,3,4,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,3,1] => 3

[5,6,7,2,4,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[5,6,7,2,4,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,1,1] => 3

[5,6,7,3,1,2,4] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[5,6,7,3,1,4,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[5,6,7,3,2,1,4] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,1] => 3

[5,6,7,3,2,4,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,1] => 3

[5,6,7,3,4,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,2] => 3

[5,6,7,3,4,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,1,1] => 3

[5,6,7,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,3,1] => 3

[5,6,7,4,1,3,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,1,1] => 3

[5,6,7,4,2,1,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,1] => 3

[5,6,7,4,2,3,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,1,1] => 3

[5,6,7,4,3,1,2] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,1,1] => 3

[5,6,7,4,3,2,1] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,1,1,1,1] => 3

[5,7,1,2,3,4,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[5,7,1,2,3,6,4] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[5,7,1,2,4,3,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[5,7,1,2,4,6,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[5,7,1,2,6,3,4] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[5,7,1,2,6,4,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[5,7,1,3,2,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[5,7,1,3,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[5,7,1,3,4,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[5,7,1,3,4,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[5,7,1,3,6,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[5,7,1,3,6,4,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[5,7,1,4,2,3,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[5,7,1,4,2,6,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[5,7,1,4,3,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[5,7,1,4,3,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[5,7,1,4,6,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[5,7,1,4,6,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[5,7,1,6,2,3,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[5,7,1,6,2,4,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[5,7,1,6,3,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[5,7,1,6,3,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[5,7,1,6,4,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[5,7,2,1,3,4,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[5,7,2,1,3,6,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[5,7,2,1,4,3,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,7,2,1,4,6,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[5,7,2,1,6,3,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[5,7,2,3,1,4,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,7,2,3,1,6,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,7,2,3,4,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[5,7,2,3,4,6,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[5,7,2,3,6,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[5,7,2,3,6,4,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[5,7,2,4,1,3,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,7,2,4,1,6,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,7,2,4,3,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[5,7,2,4,3,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[5,7,2,4,6,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[5,7,2,4,6,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[5,7,2,6,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,7,2,6,3,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[5,7,2,6,3,4,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[5,7,3,1,2,4,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[5,7,3,1,2,6,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[5,7,3,1,4,2,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,7,3,1,4,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[5,7,3,1,6,2,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[5,7,3,2,1,4,6] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[5,7,3,2,1,6,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[5,7,3,2,4,1,6] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,7,3,2,4,6,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[5,7,3,2,6,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,7,3,2,6,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[5,7,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,7,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,7,3,4,2,1,6] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[5,7,3,4,2,6,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[5,7,3,4,6,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[5,7,3,4,6,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [3,2,1,1] => 3

[5,7,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,7,3,6,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[5,7,3,6,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[5,7,3,6,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[5,7,3,6,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,2,1,1,1] => 2

[5,7,4,1,2,3,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[5,7,4,1,2,6,3] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[5,7,4,1,3,2,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,7,4,1,3,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[5,7,4,1,6,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[5,7,4,2,1,3,6] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[5,7,4,2,1,6,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[5,7,4,2,3,1,6] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,7,4,2,3,6,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[5,7,4,2,6,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,7,4,2,6,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[5,7,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[5,7,4,3,2,1,6] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1] => 2

[5,7,4,3,2,6,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,2,1,1,1] => 2

[5,7,4,3,6,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[5,7,4,3,6,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,2,1,1,1] => 2

[5,7,4,6,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[5,7,4,6,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[5,7,4,6,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[5,7,4,6,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[5,7,4,6,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[5,7,4,6,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,2,1,1,1] => 2

[5,7,6,1,2,3,4] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,2,1] => 4

[5,7,6,1,2,4,3] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,1] => 3

[5,7,6,1,3,2,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[5,7,6,1,3,4,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,1] => 3

[5,7,6,1,4,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,1] => 3

[5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,2,1,1,1] => 2

[5,7,6,2,1,3,4] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[5,7,6,2,1,4,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[5,7,6,2,3,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[5,7,6,2,3,4,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,1] => 3

[5,7,6,2,4,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[5,7,6,2,4,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,2,1,1,1] => 2

[5,7,6,3,1,2,4] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[5,7,6,3,1,4,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[5,7,6,3,2,1,4] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,2,1,1,1] => 2

[5,7,6,3,2,4,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,2,1,1,1] => 2

[5,7,6,3,4,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,2,2,1] => 2

[5,7,6,3,4,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [2,2,1,1,1] => 2

[5,7,6,4,1,2,3] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,1] => 3

[5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,2,1,1,1] => 2

[5,7,6,4,2,1,3] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,2,1,1,1] => 2

[5,7,6,4,2,3,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,2,1,1,1] => 2

[5,7,6,4,3,1,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,2,1,1,1] => 2

[5,7,6,4,3,2,1] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,1,1,1,1,1] => 2

[6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,1] => 6

[6,1,2,3,4,7,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,1,1] => 5

[6,1,2,3,5,4,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[6,1,2,3,5,7,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,1,1] => 5

[6,1,2,3,7,4,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[6,1,2,3,7,5,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,1,1,1] => 4

[6,1,2,4,3,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[6,1,2,4,3,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[6,1,2,4,5,3,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[6,1,2,4,5,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1] => 5

[6,1,2,4,7,3,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[6,1,2,4,7,5,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,1,1,1] => 4

[6,1,2,5,3,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[6,1,2,5,3,7,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[6,1,2,5,4,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[6,1,2,5,4,7,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[6,1,2,5,7,3,4] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[6,1,2,5,7,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,1,1] => 4

[6,1,2,7,3,4,5] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[6,1,2,7,3,5,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[6,1,2,7,4,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[6,1,2,7,4,5,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[6,1,2,7,5,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[6,1,2,7,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,1,1,1,1] => 3

[6,1,3,2,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[6,1,3,2,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[6,1,3,2,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[6,1,3,2,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[6,1,3,2,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[6,1,3,2,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[6,1,3,4,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[6,1,3,4,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[6,1,3,4,5,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[6,1,3,4,5,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,1,1] => 5

[6,1,3,4,7,2,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[6,1,3,4,7,5,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,1,1,1] => 4

[6,1,3,5,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[6,1,3,5,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[6,1,3,5,4,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[6,1,3,5,4,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[6,1,3,5,7,2,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[6,1,3,5,7,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,1,1] => 4

[6,1,3,7,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[6,1,3,7,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[6,1,3,7,4,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[6,1,3,7,4,5,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[6,1,3,7,5,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[6,1,3,7,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,1,1,1,1] => 3

[6,1,4,2,3,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[6,1,4,2,3,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[6,1,4,2,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[6,1,4,2,5,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[6,1,4,2,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[6,1,4,2,7,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[6,1,4,3,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[6,1,4,3,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[6,1,4,3,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[6,1,4,3,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[6,1,4,3,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[6,1,4,3,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[6,1,4,5,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[6,1,4,5,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[6,1,4,5,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[6,1,4,5,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[6,1,4,5,7,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[6,1,4,5,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,1,1] => 4

[6,1,4,7,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[6,1,4,7,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[6,1,4,7,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[6,1,4,7,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[6,1,4,7,5,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[6,1,4,7,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,1,1,1,1] => 3

[6,1,5,2,3,4,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[6,1,5,2,3,7,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[6,1,5,2,4,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[6,1,5,2,4,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[6,1,5,2,7,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[6,1,5,2,7,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[6,1,5,3,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[6,1,5,3,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[6,1,5,3,4,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[6,1,5,3,4,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[6,1,5,3,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[6,1,5,3,7,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[6,1,5,4,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[6,1,5,4,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[6,1,5,4,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[6,1,5,4,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[6,1,5,4,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[6,1,5,4,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[6,1,5,7,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[6,1,5,7,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[6,1,5,7,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[6,1,5,7,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[6,1,5,7,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[6,1,5,7,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,1,1,1,1] => 3

[6,1,7,2,3,4,5] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[6,1,7,2,3,5,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[6,1,7,2,4,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[6,1,7,2,4,5,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[6,1,7,2,5,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[6,1,7,2,5,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[6,1,7,3,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[6,1,7,3,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[6,1,7,3,4,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[6,1,7,3,4,5,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[6,1,7,3,5,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[6,1,7,3,5,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[6,1,7,4,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[6,1,7,4,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[6,1,7,4,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[6,1,7,4,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[6,1,7,4,5,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[6,1,7,4,5,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[6,1,7,5,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[6,1,7,5,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[6,1,7,5,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[6,1,7,5,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[6,1,7,5,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,1,1,1,1,1] => 2

[6,2,1,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[6,2,1,3,4,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[6,2,1,3,5,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[6,2,1,3,5,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[6,2,1,3,7,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[6,2,1,3,7,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[6,2,1,4,3,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,2,1,4,3,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,2,1,4,5,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,2,1,4,5,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[6,2,1,4,7,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,2,1,4,7,5,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[6,2,1,5,3,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,2,1,5,3,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,2,1,5,4,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,2,1,5,4,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[6,2,1,5,7,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,2,1,5,7,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[6,2,1,7,3,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,2,1,7,3,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,2,1,7,4,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,2,1,7,4,5,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[6,2,1,7,5,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[6,2,3,1,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,2,3,1,4,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,2,3,1,5,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,2,3,1,5,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,2,3,1,7,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,2,3,1,7,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,2,3,4,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,2,3,4,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,2,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[6,2,3,4,5,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,1,1] => 5

[6,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[6,2,3,4,7,5,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1] => 4

[6,2,3,5,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,2,3,5,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,2,3,5,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[6,2,3,5,4,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[6,2,3,5,7,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[6,2,3,5,7,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,1,1,1] => 4

[6,2,3,7,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,2,3,7,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,2,3,7,4,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[6,2,3,7,4,5,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[6,2,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[6,2,3,7,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,1,1,1,1] => 3

[6,2,4,1,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,2,4,1,3,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,2,4,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,2,4,1,5,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,2,4,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,2,4,1,7,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,2,4,3,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,2,4,3,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,2,4,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,2,4,3,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[6,2,4,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,2,4,3,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[6,2,4,5,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,2,4,5,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,2,4,5,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[6,2,4,5,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[6,2,4,5,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[6,2,4,5,7,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,1,1,1] => 4

[6,2,4,7,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,2,4,7,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,2,4,7,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[6,2,4,7,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[6,2,4,7,5,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[6,2,4,7,5,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,1,1,1,1] => 3

[6,2,5,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,2,5,1,3,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,2,5,1,4,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,2,5,1,4,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,2,5,1,7,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,2,5,1,7,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,2,5,3,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,2,5,3,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,2,5,3,4,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,2,5,3,4,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[6,2,5,3,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,2,5,3,7,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[6,2,5,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,2,5,4,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,2,5,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[6,2,5,4,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[6,2,5,4,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,2,5,4,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[6,2,5,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,2,5,7,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,2,5,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[6,2,5,7,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[6,2,5,7,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[6,2,5,7,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,1,1,1,1] => 3

[6,2,7,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,2,7,1,3,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,2,7,1,4,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,2,7,1,4,5,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,2,7,1,5,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,2,7,3,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,2,7,3,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,2,7,3,4,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,2,7,3,4,5,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[6,2,7,3,5,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,2,7,3,5,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[6,2,7,4,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,2,7,4,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,2,7,4,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[6,2,7,4,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[6,2,7,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,2,7,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[6,2,7,5,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,2,7,5,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[6,2,7,5,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,1,1,1,1,1] => 2

[6,3,1,2,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[6,3,1,2,4,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[6,3,1,2,5,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[6,3,1,2,5,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[6,3,1,2,7,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[6,3,1,2,7,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[6,3,1,4,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,3,1,4,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,3,1,4,5,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,3,1,4,5,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[6,3,1,4,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,3,1,4,7,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[6,3,1,5,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,3,1,5,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,3,1,5,4,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,3,1,5,4,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[6,3,1,5,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,3,1,5,7,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[6,3,1,7,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,3,1,7,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,3,1,7,4,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,3,1,7,4,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[6,3,1,7,5,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[6,3,2,1,4,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[6,3,2,1,4,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[6,3,2,1,5,4,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,3,2,1,5,7,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[6,3,2,1,7,4,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[6,3,2,4,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,3,2,4,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[6,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,3,2,4,7,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[6,3,2,5,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,3,2,5,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,3,2,5,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,3,2,5,4,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[6,3,2,5,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,3,2,5,7,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[6,3,2,7,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,3,2,7,4,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,3,2,7,4,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[6,3,4,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,3,4,1,2,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,3,4,1,5,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,3,4,1,5,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,3,4,1,7,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,3,4,1,7,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,3,4,2,1,5,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,3,4,2,1,7,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,3,4,2,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,3,4,2,5,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[6,3,4,2,7,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,3,4,2,7,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[6,3,4,5,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,3,4,5,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,3,4,5,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[6,3,4,5,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[6,3,4,5,7,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[6,3,4,5,7,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,1,1,1] => 4

[6,3,4,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,3,4,7,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,3,4,7,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[6,3,4,7,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[6,3,4,7,5,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[6,3,4,7,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,1,1,1,1] => 3

[6,3,5,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,3,5,1,2,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,3,5,1,4,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,3,5,1,4,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,3,5,1,7,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,3,5,1,7,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,3,5,2,1,4,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,3,5,2,1,7,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,3,5,2,4,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,3,5,2,4,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[6,3,5,2,7,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,3,5,2,7,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[6,3,5,4,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,3,5,4,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,3,5,4,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[6,3,5,4,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[6,3,5,4,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,3,5,4,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 3

[6,3,5,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,3,5,7,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,3,5,7,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[6,3,5,7,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[6,3,5,7,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[6,3,5,7,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,1,1,1,1] => 3

[6,3,7,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,3,7,1,2,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,3,7,1,4,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,3,7,1,4,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,3,7,1,5,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,3,7,2,1,4,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,3,7,2,4,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,3,7,2,4,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[6,3,7,4,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,3,7,4,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,3,7,4,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[6,3,7,4,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[6,3,7,4,5,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[6,3,7,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 3

[6,3,7,5,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,1,1,1,1,1] => 2

[6,4,1,2,3,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[6,4,1,2,3,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[6,4,1,2,5,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[6,4,1,2,5,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[6,4,1,2,7,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[6,4,1,2,7,5,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[6,4,1,3,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,4,1,3,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,4,1,3,5,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,4,1,3,5,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[6,4,1,3,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,4,1,3,7,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[6,4,1,5,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,4,1,5,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,4,1,5,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,4,1,5,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[6,4,1,5,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,4,1,5,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[6,4,1,7,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,4,1,7,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,4,1,7,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,4,1,7,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[6,4,1,7,5,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[6,4,2,1,3,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[6,4,2,1,3,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[6,4,2,1,5,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,4,2,1,5,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[6,4,2,1,7,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[6,4,2,3,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,4,2,3,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,4,2,3,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,4,2,3,5,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[6,4,2,3,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,4,2,3,7,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[6,4,2,5,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,4,2,5,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,4,2,5,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,4,2,5,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[6,4,2,5,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,4,2,5,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[6,4,2,7,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,4,2,7,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,4,2,7,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[6,4,3,1,2,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[6,4,3,1,2,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[6,4,3,1,5,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,4,3,1,5,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[6,4,3,1,7,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[6,4,3,2,1,5,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[6,4,3,2,1,7,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[6,4,3,2,7,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[6,4,3,5,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,4,3,5,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,4,3,5,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[6,4,3,5,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[6,4,3,5,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,4,3,5,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,1,1,1,1] => 3

[6,4,3,7,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,4,3,7,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,4,3,7,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[6,4,3,7,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[6,4,3,7,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,4,3,7,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,1,1,1,1,1] => 2

[6,4,5,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,4,5,1,2,7,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,4,5,1,3,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,4,5,1,3,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,4,5,1,7,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,4,5,1,7,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,4,5,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,4,5,2,1,7,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,4,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,4,5,2,3,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[6,4,5,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,4,5,2,7,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[6,4,5,3,1,2,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,4,5,3,1,7,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,4,5,3,2,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[6,4,5,3,2,7,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[6,4,5,3,7,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,4,5,3,7,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => 2

[6,4,5,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[6,4,5,7,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[6,4,5,7,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[6,4,5,7,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[6,4,5,7,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[6,4,5,7,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [3,1,1,1,1] => 3

[6,4,7,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,4,7,1,2,5,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,4,7,1,3,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,4,7,1,3,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,4,7,1,5,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,4,7,2,1,3,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,4,7,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,4,7,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,4,7,2,3,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[6,4,7,3,1,2,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,4,7,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,4,7,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[6,4,7,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[6,4,7,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,4,7,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => 2

[6,4,7,5,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[6,4,7,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[6,4,7,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[6,4,7,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[6,4,7,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[6,4,7,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,1,1,1,1,1] => 2

[6,5,1,2,3,4,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[6,5,1,2,3,7,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[6,5,1,2,4,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[6,5,1,2,4,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[6,5,1,2,7,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[6,5,1,2,7,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[6,5,1,3,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,5,1,3,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,5,1,3,4,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,5,1,3,4,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[6,5,1,3,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,5,1,3,7,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[6,5,1,4,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,5,1,4,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,5,1,4,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,5,1,4,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[6,5,1,4,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[6,5,1,4,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[6,5,1,7,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[6,5,1,7,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[6,5,1,7,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,5,1,7,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[6,5,1,7,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[6,5,2,1,3,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[6,5,2,1,3,7,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[6,5,2,1,4,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,5,2,1,4,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[6,5,2,1,7,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[6,5,2,3,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,5,2,3,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,5,2,3,4,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,5,2,3,4,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[6,5,2,3,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,5,2,3,7,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[6,5,2,4,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,5,2,4,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,5,2,4,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,5,2,4,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[6,5,2,4,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,5,2,4,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[6,5,2,7,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,5,2,7,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,5,2,7,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[6,5,3,1,2,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[6,5,3,1,2,7,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[6,5,3,1,4,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,5,3,1,4,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[6,5,3,1,7,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[6,5,3,2,1,4,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[6,5,3,2,1,7,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[6,5,3,2,4,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[6,5,3,2,4,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[6,5,3,2,7,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[6,5,3,2,7,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[6,5,3,4,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,5,3,4,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[6,5,3,4,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[6,5,3,4,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,1,1,1,1] => 3

[6,5,3,7,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,5,3,7,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[6,5,3,7,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[6,5,3,7,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,1,1,1,1,1] => 2

[6,5,4,1,2,3,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[6,5,4,1,2,7,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[6,5,4,1,3,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,5,4,1,3,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[6,5,4,1,7,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[6,5,4,2,1,3,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[6,5,4,2,1,7,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[6,5,4,2,3,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[6,5,4,2,3,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[6,5,4,2,7,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[6,5,4,2,7,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[6,5,4,3,1,2,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[6,5,4,3,1,7,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => 2

[6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1] => 2

[6,5,4,3,7,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[6,5,4,3,7,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,1,1,1,1,1] => 2

[6,5,4,7,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[6,5,4,7,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[6,5,4,7,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[6,5,4,7,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[6,5,4,7,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[6,5,4,7,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,1,1,1,1,1] => 2

[6,5,7,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[6,5,7,1,2,4,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[6,5,7,1,3,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,5,7,1,3,4,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[6,5,7,1,4,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[6,5,7,2,1,3,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,5,7,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,5,7,2,3,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,5,7,2,3,4,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[6,5,7,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,5,7,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[6,5,7,3,1,2,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,5,7,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,5,7,3,2,1,4] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[6,5,7,3,2,4,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[6,5,7,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[6,5,7,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => 2

[6,5,7,4,1,2,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[6,5,7,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[6,5,7,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[6,5,7,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,1,1,1,1,1] => 2

[6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [5,2] => 5

[6,7,1,2,3,5,4] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [4,2,1] => 4

[6,7,1,2,4,3,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[6,7,1,2,4,5,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [4,2,1] => 4

[6,7,1,2,5,3,4] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [4,2,1] => 4

[6,7,1,2,5,4,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,2,1,1] => 3

[6,7,1,3,2,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[6,7,1,3,2,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[6,7,1,3,4,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[6,7,1,3,4,5,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [4,2,1] => 4

[6,7,1,3,5,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[6,7,1,3,5,4,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,2,1,1] => 3

[6,7,1,4,2,3,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[6,7,1,4,2,5,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[6,7,1,4,3,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[6,7,1,4,3,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[6,7,1,4,5,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,2,2] => 3

[6,7,1,4,5,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,2,1,1] => 3

[6,7,1,5,2,3,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [4,2,1] => 4

[6,7,1,5,2,4,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,2,1,1] => 3

[6,7,1,5,3,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[6,7,1,5,3,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,2,1,1] => 3

[6,7,1,5,4,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,2,1,1] => 3

[6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,2,1,1,1] => 2

[6,7,2,1,3,4,5] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[6,7,2,1,3,5,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[6,7,2,1,4,3,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[6,7,2,1,4,5,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[6,7,2,1,5,3,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[6,7,2,1,5,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[6,7,2,3,1,4,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[6,7,2,3,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[6,7,2,3,4,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[6,7,2,3,4,5,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [4,2,1] => 4

[6,7,2,3,5,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[6,7,2,3,5,4,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [3,2,1,1] => 3

[6,7,2,4,1,3,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[6,7,2,4,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[6,7,2,4,3,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[6,7,2,4,3,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[6,7,2,4,5,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[6,7,2,4,5,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [3,2,1,1] => 3

[6,7,2,5,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[6,7,2,5,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[6,7,2,5,3,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[6,7,2,5,3,4,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [3,2,1,1] => 3

[6,7,2,5,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,2,1,1,1] => 2

[6,7,3,1,2,4,5] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[6,7,3,1,2,5,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[6,7,3,1,4,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[6,7,3,1,4,5,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[6,7,3,1,5,2,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[6,7,3,1,5,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[6,7,3,2,1,4,5] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[6,7,3,2,1,5,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[6,7,3,2,4,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[6,7,3,2,4,5,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[6,7,3,2,5,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[6,7,3,2,5,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[6,7,3,4,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[6,7,3,4,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[6,7,3,4,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[6,7,3,4,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [3,2,2] => 3

[6,7,3,4,5,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [3,2,1,1] => 3

[6,7,3,5,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[6,7,3,5,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[6,7,3,5,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[6,7,3,5,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,2,2,1] => 2

[6,7,3,5,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,2,1,1,1] => 2

[6,7,4,1,2,3,5] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[6,7,4,1,2,5,3] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[6,7,4,1,3,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[6,7,4,1,3,5,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[6,7,4,1,5,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[6,7,4,1,5,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[6,7,4,2,1,3,5] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[6,7,4,2,1,5,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[6,7,4,2,3,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[6,7,4,2,3,5,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[6,7,4,2,5,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[6,7,4,2,5,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[6,7,4,3,1,2,5] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[6,7,4,3,1,5,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[6,7,4,3,2,1,5] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1] => 2

[6,7,4,3,2,5,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,2,1,1,1] => 2

[6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[6,7,4,3,5,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,2,1,1,1] => 2

[6,7,4,5,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [3,2,2] => 3

[6,7,4,5,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,2,2,1] => 2

[6,7,4,5,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[6,7,4,5,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,2,2,1] => 2

[6,7,4,5,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,2,2,1] => 2

[6,7,4,5,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,2,1,1,1] => 2

[6,7,5,1,2,3,4] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,2,1] => 4

[6,7,5,1,2,4,3] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [3,2,1,1] => 3

[6,7,5,1,3,2,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[6,7,5,1,3,4,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [3,2,1,1] => 3

[6,7,5,1,4,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [3,2,1,1] => 3

[6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,2,1,1,1] => 2

[6,7,5,2,1,3,4] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[6,7,5,2,1,4,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[6,7,5,2,3,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[6,7,5,2,3,4,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [3,2,1,1] => 3

[6,7,5,2,4,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[6,7,5,2,4,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,2,1,1,1] => 2

[6,7,5,3,1,2,4] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[6,7,5,3,1,4,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[6,7,5,3,2,1,4] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1] => 2

[6,7,5,3,2,4,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,2,1,1,1] => 2

[6,7,5,3,4,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,2,2,1] => 2

[6,7,5,3,4,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,2,1,1,1] => 2

[6,7,5,4,1,2,3] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [3,2,1,1] => 3

[6,7,5,4,1,3,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,2,1,1,1] => 2

[6,7,5,4,2,1,3] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1] => 2

[6,7,5,4,2,3,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,2,1,1,1] => 2

[6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,2,1,1,1] => 2

[6,7,5,4,3,2,1] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,1,1,1,1] => 2

[7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,1] => 6

[7,1,2,3,4,6,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,1,1] => 5

[7,1,2,3,5,4,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[7,1,2,3,5,6,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,1,1] => 5

[7,1,2,3,6,4,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,1,1] => 5

[7,1,2,3,6,5,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,1,1,1] => 4

[7,1,2,4,3,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[7,1,2,4,3,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[7,1,2,4,5,3,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[7,1,2,4,5,6,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,1] => 5

[7,1,2,4,6,3,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[7,1,2,4,6,5,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,1,1,1] => 4

[7,1,2,5,3,4,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[7,1,2,5,3,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[7,1,2,5,4,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[7,1,2,5,4,6,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[7,1,2,5,6,3,4] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,2,1] => 4

[7,1,2,5,6,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,1,1] => 4

[7,1,2,6,3,4,5] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,1,1] => 5

[7,1,2,6,3,5,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,1,1,1] => 4

[7,1,2,6,4,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[7,1,2,6,4,5,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,1,1,1] => 4

[7,1,2,6,5,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,1,1,1] => 4

[7,1,2,6,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,1,1,1,1] => 3

[7,1,3,2,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[7,1,3,2,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[7,1,3,2,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[7,1,3,2,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[7,1,3,2,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[7,1,3,2,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[7,1,3,4,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[7,1,3,4,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[7,1,3,4,5,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[7,1,3,4,5,6,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,1,1] => 5

[7,1,3,4,6,2,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[7,1,3,4,6,5,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,1,1,1] => 4

[7,1,3,5,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[7,1,3,5,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[7,1,3,5,4,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[7,1,3,5,4,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[7,1,3,5,6,2,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[7,1,3,5,6,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,1,1] => 4

[7,1,3,6,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[7,1,3,6,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[7,1,3,6,4,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[7,1,3,6,4,5,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,1,1,1] => 4

[7,1,3,6,5,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[7,1,3,6,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,1,1,1,1] => 3

[7,1,4,2,3,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[7,1,4,2,3,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[7,1,4,2,5,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[7,1,4,2,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[7,1,4,2,6,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[7,1,4,2,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[7,1,4,3,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[7,1,4,3,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[7,1,4,3,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[7,1,4,3,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[7,1,4,3,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[7,1,4,3,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[7,1,4,5,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[7,1,4,5,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[7,1,4,5,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[7,1,4,5,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[7,1,4,5,6,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,2,1] => 4

[7,1,4,5,6,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,1,1] => 4

[7,1,4,6,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[7,1,4,6,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[7,1,4,6,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[7,1,4,6,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[7,1,4,6,5,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,2,1,1] => 3

[7,1,4,6,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,1,1,1,1] => 3

[7,1,5,2,3,4,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[7,1,5,2,3,6,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[7,1,5,2,4,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[7,1,5,2,4,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[7,1,5,2,6,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[7,1,5,2,6,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[7,1,5,3,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[7,1,5,3,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[7,1,5,3,4,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[7,1,5,3,4,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[7,1,5,3,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[7,1,5,3,6,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[7,1,5,4,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[7,1,5,4,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[7,1,5,4,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[7,1,5,4,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[7,1,5,4,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[7,1,5,4,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[7,1,5,6,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [4,2,1] => 4

[7,1,5,6,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,2,1,1] => 3

[7,1,5,6,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[7,1,5,6,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,2,1,1] => 3

[7,1,5,6,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,2,1,1] => 3

[7,1,5,6,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,1,1,1,1] => 3

[7,1,6,2,3,4,5] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,1,1] => 5

[7,1,6,2,3,5,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,1,1,1] => 4

[7,1,6,2,4,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[7,1,6,2,4,5,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,1,1,1] => 4

[7,1,6,2,5,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,1,1,1] => 4

[7,1,6,2,5,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 3

[7,1,6,3,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[7,1,6,3,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[7,1,6,3,4,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[7,1,6,3,4,5,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,1,1,1] => 4

[7,1,6,3,5,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[7,1,6,3,5,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 3

[7,1,6,4,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[7,1,6,4,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[7,1,6,4,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[7,1,6,4,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[7,1,6,4,5,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [3,2,1,1] => 3

[7,1,6,4,5,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 3

[7,1,6,5,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,1,1,1] => 4

[7,1,6,5,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 3

[7,1,6,5,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[7,1,6,5,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 3

[7,1,6,5,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 3

[7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,1,1,1,1,1] => 2

[7,2,1,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[7,2,1,3,4,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[7,2,1,3,5,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,2,1,3,5,6,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[7,2,1,3,6,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,2,1,3,6,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[7,2,1,4,3,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,2,1,4,3,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,2,1,4,5,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,2,1,4,5,6,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[7,2,1,4,6,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,2,1,4,6,5,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[7,2,1,5,3,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,2,1,5,3,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,2,1,5,4,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,2,1,5,4,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,2,1,5,6,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,2,1,5,6,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[7,2,1,6,3,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,2,1,6,3,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,2,1,6,4,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,2,1,6,4,5,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,2,1,6,5,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[7,2,3,1,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,2,3,1,4,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,2,3,1,5,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,2,3,1,5,6,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,2,3,1,6,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,2,3,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,2,3,4,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,2,3,4,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,2,3,4,5,1,6] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,1,1] => 5

[7,2,3,4,6,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[7,2,3,4,6,5,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,1,1,1] => 4

[7,2,3,5,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,2,3,5,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,2,3,5,4,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[7,2,3,5,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[7,2,3,5,6,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[7,2,3,5,6,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,1,1,1] => 4

[7,2,3,6,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,2,3,6,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,2,3,6,4,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[7,2,3,6,4,5,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,1,1,1] => 4

[7,2,3,6,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[7,2,3,6,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,1,1,1,1] => 3

[7,2,4,1,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,2,4,1,3,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,2,4,1,5,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,2,4,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,2,4,1,6,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,2,4,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,2,4,3,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,2,4,3,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,2,4,3,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,2,4,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[7,2,4,3,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,2,4,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[7,2,4,5,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,2,4,5,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,2,4,5,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[7,2,4,5,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[7,2,4,5,6,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[7,2,4,5,6,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,1,1,1] => 4

[7,2,4,6,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,2,4,6,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,2,4,6,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[7,2,4,6,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[7,2,4,6,5,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[7,2,4,6,5,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,1,1,1,1] => 3

[7,2,5,1,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,2,5,1,3,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,2,5,1,4,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,2,5,1,4,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,2,5,1,6,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,2,5,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,2,5,3,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,2,5,3,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,2,5,3,4,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,2,5,3,4,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[7,2,5,3,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,2,5,3,6,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[7,2,5,4,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,2,5,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,2,5,4,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[7,2,5,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[7,2,5,4,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,2,5,4,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[7,2,5,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,2,5,6,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,2,5,6,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[7,2,5,6,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,2,1,1] => 3

[7,2,5,6,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[7,2,5,6,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,1,1,1,1] => 3

[7,2,6,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,2,6,1,3,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,2,6,1,4,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,2,6,1,4,5,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,2,6,1,5,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,2,6,3,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,2,6,3,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,2,6,3,4,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,2,6,3,4,5,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,1,1,1] => 4

[7,2,6,3,5,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,2,6,3,5,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 3

[7,2,6,4,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,2,6,4,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,2,6,4,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[7,2,6,4,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[7,2,6,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,2,6,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 3

[7,2,6,5,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,2,6,5,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[7,2,6,5,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 3

[7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,1,1,1,1,1] => 2

[7,3,1,2,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[7,3,1,2,4,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[7,3,1,2,5,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,3,1,2,5,6,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[7,3,1,2,6,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,3,1,2,6,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[7,3,1,4,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,3,1,4,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,3,1,4,5,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,3,1,4,5,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[7,3,1,4,6,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,3,1,4,6,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[7,3,1,5,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,3,1,5,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,3,1,5,4,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,3,1,5,4,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,3,1,5,6,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,3,1,5,6,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[7,3,1,6,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,3,1,6,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,3,1,6,4,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,3,1,6,4,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,3,1,6,5,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[7,3,2,1,4,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,3,2,1,4,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,3,2,1,5,4,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,3,2,1,5,6,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,3,2,1,6,4,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,3,2,4,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,3,2,4,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,3,2,4,5,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[7,3,2,4,6,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,3,2,4,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[7,3,2,5,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,3,2,5,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,3,2,5,4,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,3,2,5,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[7,3,2,5,6,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,3,2,5,6,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[7,3,2,6,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,3,2,6,4,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,3,2,6,4,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[7,3,4,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,3,4,1,2,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,3,4,1,5,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,3,4,1,5,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,3,4,1,6,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,3,4,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,3,4,2,1,5,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,3,4,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,3,4,2,5,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,3,4,2,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[7,3,4,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,3,4,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[7,3,4,5,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,3,4,5,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,3,4,5,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[7,3,4,5,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[7,3,4,5,6,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,2,1] => 4

[7,3,4,5,6,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,1,1,1] => 4

[7,3,4,6,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,3,4,6,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,3,4,6,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[7,3,4,6,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[7,3,4,6,5,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,2,1,1] => 3

[7,3,4,6,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,1,1,1,1] => 3

[7,3,5,1,2,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,3,5,1,2,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,3,5,1,4,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,3,5,1,4,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,3,5,1,6,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,3,5,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,3,5,2,1,4,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,3,5,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,3,5,2,4,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,3,5,2,4,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[7,3,5,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,3,5,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[7,3,5,4,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,3,5,4,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,3,5,4,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[7,3,5,4,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[7,3,5,4,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,3,5,4,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 3

[7,3,5,6,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,3,5,6,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,3,5,6,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[7,3,5,6,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[7,3,5,6,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,2,1,1] => 3

[7,3,5,6,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,1,1,1,1] => 3

[7,3,6,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,3,6,1,2,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,3,6,1,4,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,3,6,1,4,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,3,6,1,5,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,3,6,2,1,4,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,3,6,2,4,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,3,6,2,4,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[7,3,6,4,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,3,6,4,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,3,6,4,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[7,3,6,4,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[7,3,6,4,5,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [3,2,1,1] => 3

[7,3,6,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 3

[7,3,6,5,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,2,1,1,1] => 2

[7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,1,1,1,1,1] => 2

[7,4,1,2,3,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[7,4,1,2,3,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[7,4,1,2,5,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,4,1,2,5,6,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[7,4,1,2,6,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,4,1,2,6,5,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[7,4,1,3,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,4,1,3,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,4,1,3,5,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,4,1,3,5,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[7,4,1,3,6,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,4,1,3,6,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[7,4,1,5,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,4,1,5,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,4,1,5,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,4,1,5,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,4,1,5,6,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,4,1,5,6,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[7,4,1,6,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,4,1,6,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,4,1,6,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,4,1,6,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,4,1,6,5,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[7,4,2,1,3,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,4,2,1,3,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,4,2,1,5,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,4,2,1,5,6,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,4,2,1,6,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,4,2,3,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,4,2,3,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,4,2,3,5,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,4,2,3,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[7,4,2,3,6,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,4,2,3,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[7,4,2,5,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,4,2,5,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,4,2,5,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,4,2,5,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[7,4,2,5,6,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,4,2,5,6,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[7,4,2,6,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,4,2,6,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,4,2,6,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[7,4,3,1,2,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,4,3,1,2,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,4,3,1,5,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,4,3,1,5,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,4,3,1,6,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,4,3,2,1,5,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,4,3,2,1,6,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,4,3,2,5,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[7,4,3,2,6,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[7,4,3,5,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,4,3,5,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,4,3,5,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,4,3,5,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[7,4,3,5,6,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,4,3,5,6,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,1,1,1,1] => 3

[7,4,3,6,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,4,3,6,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,4,3,6,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,4,3,6,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[7,4,3,6,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,4,3,6,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,1,1,1,1,1] => 2

[7,4,5,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,4,5,1,2,6,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,4,5,1,3,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,4,5,1,3,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,4,5,1,6,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,4,5,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,4,5,2,1,3,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,4,5,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,4,5,2,3,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[7,4,5,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,4,5,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[7,4,5,3,1,2,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,4,5,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,4,5,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[7,4,5,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[7,4,5,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,4,5,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => 2

[7,4,5,6,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,3,1] => 3

[7,4,5,6,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,2,1,1] => 3

[7,4,5,6,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[7,4,5,6,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,2,1,1] => 3

[7,4,5,6,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,2,1,1] => 3

[7,4,5,6,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [3,1,1,1,1] => 3

[7,4,6,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,4,6,1,2,5,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,4,6,1,3,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,4,6,1,3,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,4,6,1,5,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,4,6,2,1,3,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,4,6,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,4,6,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,4,6,2,3,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[7,4,6,3,1,2,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,4,6,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,4,6,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[7,4,6,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[7,4,6,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,4,6,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => 2

[7,4,6,5,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [3,2,1,1] => 3

[7,4,6,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,2,1,1,1] => 2

[7,4,6,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[7,4,6,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,2,1,1,1] => 2

[7,4,6,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,2,1,1,1] => 2

[7,4,6,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,1,1,1,1,1] => 2

[7,5,1,2,3,4,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[7,5,1,2,3,6,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[7,5,1,2,4,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,5,1,2,4,6,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[7,5,1,2,6,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,5,1,2,6,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[7,5,1,3,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,5,1,3,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,5,1,3,4,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,5,1,3,4,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[7,5,1,3,6,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,5,1,3,6,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[7,5,1,4,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,5,1,4,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,5,1,4,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,5,1,4,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,5,1,4,6,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,5,1,4,6,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[7,5,1,6,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,5,1,6,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,5,1,6,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,5,1,6,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,5,1,6,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[7,5,2,1,3,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,5,2,1,3,6,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,5,2,1,4,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,5,2,1,4,6,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,5,2,1,6,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,5,2,3,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,5,2,3,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,5,2,3,4,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,5,2,3,4,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[7,5,2,3,6,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,5,2,3,6,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[7,5,2,4,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,5,2,4,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,5,2,4,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,5,2,4,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[7,5,2,4,6,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,5,2,4,6,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[7,5,2,6,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,5,2,6,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,5,2,6,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[7,5,3,1,2,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,5,3,1,2,6,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,5,3,1,4,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,5,3,1,4,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,5,3,1,6,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,5,3,2,1,4,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,5,3,2,1,6,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,5,3,2,4,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,5,3,2,4,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[7,5,3,2,6,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,5,3,2,6,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[7,5,3,4,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,5,3,4,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,5,3,4,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[7,5,3,4,6,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,5,3,4,6,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,1,1,1,1] => 3

[7,5,3,6,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,5,3,6,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,5,3,6,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[7,5,3,6,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,5,3,6,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,1,1,1,1,1] => 2

[7,5,4,1,2,3,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,5,4,1,2,6,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,5,4,1,3,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,5,4,1,3,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,5,4,1,6,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,5,4,2,1,3,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,5,4,2,1,6,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,5,4,2,3,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,5,4,2,3,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[7,5,4,2,6,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,5,4,2,6,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[7,5,4,3,1,2,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,5,4,3,1,6,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => 2

[7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1] => 2

[7,5,4,3,6,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,5,4,3,6,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,1,1,1,1,1] => 2

[7,5,4,6,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,5,4,6,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,5,4,6,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,5,4,6,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[7,5,4,6,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,5,4,6,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,1,1,1,1,1] => 2

[7,5,6,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,2,1] => 4

[7,5,6,1,2,4,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [3,2,1,1] => 3

[7,5,6,1,3,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,5,6,1,3,4,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [3,2,1,1] => 3

[7,5,6,1,4,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [3,2,1,1] => 3

[7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,2,1,1,1] => 2

[7,5,6,2,1,3,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,5,6,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,5,6,2,3,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,5,6,2,3,4,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [3,2,1,1] => 3

[7,5,6,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,5,6,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,2,1,1,1] => 2

[7,5,6,3,1,2,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,5,6,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,5,6,3,2,1,4] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[7,5,6,3,2,4,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[7,5,6,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,2,2,1] => 2

[7,5,6,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,2,1,1,1] => 2

[7,5,6,4,1,2,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [3,2,1,1] => 3

[7,5,6,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,2,1,1,1] => 2

[7,5,6,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,2,1,1,1] => 2

[7,5,6,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,2,1,1,1] => 2

[7,5,6,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,1,1,1,1,1] => 2

[7,6,1,2,3,4,5] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,1,1] => 5

[7,6,1,2,3,5,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,1,1,1] => 4

[7,6,1,2,4,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,6,1,2,4,5,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,1,1,1] => 4

[7,6,1,2,5,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,1,1,1] => 4

[7,6,1,2,5,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 3

[7,6,1,3,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,6,1,3,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,6,1,3,4,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,6,1,3,4,5,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,1,1,1] => 4

[7,6,1,3,5,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,6,1,3,5,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 3

[7,6,1,4,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,6,1,4,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,6,1,4,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,6,1,4,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,6,1,4,5,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,2,1,1] => 3

[7,6,1,4,5,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 3

[7,6,1,5,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,1,1,1] => 4

[7,6,1,5,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 3

[7,6,1,5,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,6,1,5,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 3

[7,6,1,5,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 3

[7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 2

[7,6,2,1,3,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,6,2,1,3,5,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,6,2,1,4,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,6,2,1,4,5,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,6,2,1,5,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,6,2,3,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,6,2,3,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,6,2,3,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,6,2,3,4,5,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,1,1,1] => 4

[7,6,2,3,5,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,6,2,3,5,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 3

[7,6,2,4,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,6,2,4,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,6,2,4,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,6,2,4,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[7,6,2,4,5,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,6,2,4,5,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 3

[7,6,2,5,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,6,2,5,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,6,2,5,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 3

[7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 2

[7,6,3,1,2,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,6,3,1,2,5,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,6,3,1,4,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,6,3,1,4,5,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,6,3,1,5,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,6,3,2,1,4,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,6,3,2,1,5,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,6,3,2,4,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,6,3,2,4,5,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[7,6,3,2,5,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,6,3,2,5,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[7,6,3,4,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,6,3,4,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,6,3,4,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,6,3,4,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[7,6,3,4,5,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [3,2,1,1] => 3

[7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,1,1,1,1] => 3

[7,6,3,5,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,6,3,5,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,6,3,5,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,6,3,5,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[7,6,3,5,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,2,1,1,1] => 2

[7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,1,1,1,1,1] => 2

[7,6,4,1,2,3,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,6,4,1,2,5,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,6,4,1,3,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,6,4,1,3,5,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,6,4,1,5,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,6,4,2,1,3,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,6,4,2,1,5,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,6,4,2,3,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,6,4,2,3,5,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[7,6,4,2,5,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,6,4,2,5,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[7,6,4,3,1,2,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,6,4,3,1,5,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,6,4,3,2,1,5] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => 2

[7,6,4,3,2,5,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1] => 2

[7,6,4,3,5,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,1,1,1,1,1] => 2

[7,6,4,5,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [3,2,1,1] => 3

[7,6,4,5,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,2,1,1,1] => 2

[7,6,4,5,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,6,4,5,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,2,1,1,1] => 2

[7,6,4,5,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,2,1,1,1] => 2

[7,6,4,5,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,1,1,1,1,1] => 2

[7,6,5,1,2,3,4] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,1,1,1] => 4

[7,6,5,1,2,4,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 3

[7,6,5,1,3,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,6,5,1,3,4,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 3

[7,6,5,1,4,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 3

[7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 2

[7,6,5,2,1,3,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,6,5,2,1,4,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,6,5,2,3,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,6,5,2,3,4,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 3

[7,6,5,2,4,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,6,5,2,4,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 2

[7,6,5,3,1,2,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,6,5,3,1,4,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,6,5,3,2,1,4] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => 2

[7,6,5,3,2,4,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1] => 2

[7,6,5,3,4,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,2,1,1,1] => 2

[7,6,5,3,4,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,1,1,1,1,1] => 2

[7,6,5,4,1,2,3] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 3

[7,6,5,4,1,3,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 2

[7,6,5,4,2,1,3] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => 2

[7,6,5,4,2,3,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1] => 2

[7,6,5,4,3,1,2] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => 2

[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,1,1,1,1,1,1] => 1

[8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1] => 1

[7,8,6,5,4,3,2,1] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[8,6,7,5,4,3,2,1] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[7,6,8,5,4,3,2,1] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[6,7,8,5,4,3,2,1] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,1,1,1,1,1] => 3

[8,7,5,6,4,3,2,1] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[7,8,5,6,4,3,2,1] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,2,1,1,1,1] => 2

[8,6,5,7,4,3,2,1] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[8,5,6,7,4,3,2,1] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [3,1,1,1,1,1] => 3

[7,6,5,8,4,3,2,1] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[6,7,5,8,4,3,2,1] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,2,1,1,1,1] => 2

[7,5,6,8,4,3,2,1] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [3,1,1,1,1,1] => 3

[6,5,7,8,4,3,2,1] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [3,1,1,1,1,1] => 3

[5,6,7,8,4,3,2,1] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,1,1,1,1] => 4

[8,7,6,4,5,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,1,1,1,1,1,1] => 2

[8,6,7,4,5,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[8,7,5,4,6,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,1,1,1,1,1,1] => 2

[8,7,4,5,6,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,1,1,1,1,1] => 3

[8,5,6,4,7,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[8,6,4,5,7,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,1,1,1,1,1] => 3

[8,4,5,6,7,3,2,1] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,1,1,1,1] => 4

[7,6,5,4,8,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,1,1,1,1,1,1] => 2

[7,5,6,4,8,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[6,5,7,4,8,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[7,6,4,5,8,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,1,1,1,1,1] => 3

[6,7,4,5,8,3,2,1] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [3,2,1,1,1] => 3

[7,5,4,6,8,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,1,1,1,1,1] => 3

[7,4,5,6,8,3,2,1] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,1,1,1,1] => 4

[6,5,4,7,8,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,1,1,1,1,1] => 3

[5,6,4,7,8,3,2,1] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [3,2,1,1,1] => 3

[6,4,5,7,8,3,2,1] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,1,1,1,1] => 4

[5,4,6,7,8,3,2,1] => [[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,1,1,1,1] => 4

[4,5,6,7,8,3,2,1] => [[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,1,1,1] => 5

[8,7,6,5,3,4,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1] => 2

[7,8,6,5,3,4,2,1] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[8,6,7,5,3,4,2,1] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[7,6,8,5,3,4,2,1] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[8,7,5,6,3,4,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[7,8,5,6,3,4,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[7,6,5,8,3,4,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[6,7,5,8,3,4,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[5,6,7,8,3,4,2,1] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [4,2,1,1] => 4

[8,7,6,4,3,5,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1] => 2

[7,8,6,4,3,5,2,1] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[7,6,8,4,3,5,2,1] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[8,7,6,3,4,5,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 3

[8,6,7,3,4,5,2,1] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [3,2,1,1,1] => 3

[7,6,8,3,4,5,2,1] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [3,2,1,1,1] => 3

[6,7,8,3,4,5,2,1] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,3,1,1] => 3

[8,7,5,4,3,6,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1] => 2

[7,8,5,4,3,6,2,1] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[8,7,5,3,4,6,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 3

[8,7,4,3,5,6,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 3

[8,7,3,4,5,6,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1] => 4

[8,6,5,4,3,7,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1] => 2

[8,5,4,6,3,7,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[8,6,4,3,5,7,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 3

[8,5,3,4,6,7,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1] => 4

[8,4,3,5,6,7,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1] => 4

[8,3,4,5,6,7,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,1,1,1] => 5

[7,6,5,4,3,8,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1] => 2

[6,7,5,4,3,8,2,1] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[7,5,6,4,3,8,2,1] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[7,6,4,5,3,8,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[6,7,4,5,3,8,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[7,5,4,6,3,8,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[6,5,4,7,3,8,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[4,5,6,7,3,8,2,1] => [[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [4,2,1,1] => 4

[7,6,5,3,4,8,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 3

[7,6,4,3,5,8,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 3

[7,6,3,4,5,8,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1] => 4

[7,5,4,3,6,8,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 3

[7,5,3,4,6,8,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1] => 4

[7,3,4,5,6,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,1,1,1] => 5

[6,5,4,3,7,8,2,1] => [[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 3

[6,5,3,4,7,8,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1] => 4

[6,3,4,5,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,1,1,1] => 5

[5,4,3,6,7,8,2,1] => [[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1] => 4

[5,3,4,6,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,1,1,1] => 5

[4,3,5,6,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,1,1,1] => 5

[3,4,5,6,7,8,2,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,1,1] => 6

[8,7,6,5,4,2,3,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1] => 2

[7,8,6,5,4,2,3,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,7,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[7,6,8,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,5,6,4,2,3,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,5,7,4,2,3,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,5,6,7,4,2,3,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[7,6,5,8,4,2,3,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[7,5,6,8,4,2,3,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[8,7,6,4,5,2,3,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,7,4,5,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,6,8,4,5,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,7,8,4,5,2,3,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[7,8,4,5,6,2,3,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[8,5,6,4,7,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,4,5,6,7,2,3,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[7,5,6,4,8,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,5,7,4,8,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,7,4,5,8,2,3,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[4,5,6,7,8,2,3,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,2,1] => 5

[8,7,6,5,3,2,4,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1] => 2

[7,8,6,5,3,2,4,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,7,5,3,2,4,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[7,6,8,5,3,2,4,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,5,6,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,5,7,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,5,6,7,3,2,4,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[7,6,5,8,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,6,5,2,3,4,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[8,6,7,5,2,3,4,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[7,6,8,5,2,3,4,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[6,7,8,5,2,3,4,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1] => 3

[8,5,6,7,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[6,5,7,8,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[8,7,6,4,3,2,5,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1] => 2

[7,6,8,4,3,2,5,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,6,3,4,2,5,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,7,3,4,2,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,6,8,3,4,2,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,7,8,3,4,2,5,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[6,7,8,4,2,3,5,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1] => 3

[8,7,6,3,2,4,5,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[8,6,7,3,2,4,5,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[6,7,8,3,2,4,5,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1] => 3

[8,7,6,2,3,4,5,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[8,6,7,2,3,4,5,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[7,6,8,2,3,4,5,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[6,7,8,2,3,4,5,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[7,8,5,4,3,2,6,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,5,3,4,2,6,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,4,3,5,2,6,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,5,4,2,3,6,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[8,7,5,3,2,4,6,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[8,7,4,3,2,5,6,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[8,7,2,3,4,5,6,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[7,8,2,3,4,5,6,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[8,6,5,4,3,2,7,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1] => 2

[8,5,4,6,3,2,7,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,5,6,3,4,2,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,6,4,3,5,2,7,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[8,4,5,3,6,2,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,6,5,4,2,3,7,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[8,5,6,4,2,3,7,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[8,6,5,3,2,4,7,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[8,6,4,2,3,5,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[8,6,2,3,4,5,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[8,5,4,3,2,6,7,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[8,4,5,3,2,6,7,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[8,3,4,5,2,6,7,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[8,5,4,2,3,6,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[8,4,3,2,5,6,7,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[8,3,4,2,5,6,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[8,4,2,3,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[8,3,2,4,5,6,7,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[8,2,3,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,1,1] => 6

[7,6,5,4,3,2,8,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1] => 2

[6,7,5,4,3,2,8,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[6,5,7,4,3,2,8,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[7,6,4,5,3,2,8,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[7,4,5,6,3,2,8,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[6,4,5,7,3,2,8,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[7,6,5,3,4,2,8,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[7,5,6,3,4,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,5,7,3,4,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,6,4,3,5,2,8,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[7,5,4,3,6,2,8,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[7,4,5,3,6,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,3,4,5,6,2,8,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[6,5,4,3,7,2,8,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[6,4,5,3,7,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[5,4,6,3,7,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[4,5,6,3,7,2,8,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[5,6,3,4,7,2,8,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[6,3,4,5,7,2,8,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[4,5,3,6,7,2,8,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[3,4,5,6,7,2,8,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,2,1] => 5

[7,6,5,4,2,3,8,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[7,5,6,4,2,3,8,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[6,5,7,4,2,3,8,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[5,6,7,4,2,3,8,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1] => 3

[7,4,5,6,2,3,8,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[5,4,6,7,2,3,8,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[7,6,5,3,2,4,8,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[6,5,7,3,2,4,8,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[7,6,5,2,3,4,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[7,5,6,2,3,4,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[5,6,7,2,3,4,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[7,6,4,2,3,5,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[7,6,3,2,4,5,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[7,6,2,3,4,5,8,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[6,7,2,3,4,5,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[7,5,4,3,2,6,8,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[7,5,4,2,3,6,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[7,4,5,2,3,6,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[7,5,3,2,4,6,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[7,5,2,3,4,6,8,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[7,4,3,2,5,6,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[7,3,2,4,5,6,8,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[7,2,3,4,5,6,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,1,1] => 6

[6,5,4,3,2,7,8,1] => [[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 3

[4,5,6,3,2,7,8,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1] => 3

[6,3,4,5,2,7,8,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[4,3,5,6,2,7,8,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[6,5,4,2,3,7,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[6,4,5,2,3,7,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[4,5,6,2,3,7,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[6,5,3,2,4,7,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[6,5,2,3,4,7,8,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[6,2,3,4,5,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,1,1] => 6

[5,4,3,2,6,7,8,1] => [[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 4

[5,3,4,2,6,7,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[4,3,5,2,6,7,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[3,4,5,2,6,7,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[5,4,2,3,6,7,8,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[4,5,2,3,6,7,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[5,3,2,4,6,7,8,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[5,2,3,4,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,1,1] => 6

[4,3,2,5,6,7,8,1] => [[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 5

[3,4,2,5,6,7,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[4,2,3,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,1,1] => 6

[3,2,4,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,1,1] => 6

[2,3,4,5,6,7,8,1] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,1] => 7

[8,7,6,5,4,3,1,2] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => 2

[7,8,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,6,7,5,4,3,1,2] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,8,5,4,3,1,2] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,8,5,4,3,1,2] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,1,1,1] => 3

[8,7,5,6,4,3,1,2] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,8,5,6,4,3,1,2] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[8,6,5,7,4,3,1,2] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,5,8,4,3,1,2] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,5,8,4,3,1,2] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[7,5,6,8,4,3,1,2] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[6,5,7,8,4,3,1,2] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[5,6,7,8,4,3,1,2] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,2,1,1] => 4

[8,7,6,4,5,3,1,2] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[7,8,6,4,5,3,1,2] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[8,7,5,4,6,3,1,2] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[8,6,4,5,7,3,1,2] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[8,5,4,6,7,3,1,2] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[7,6,5,4,8,3,1,2] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,4,5,8,3,1,2] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[6,5,4,7,8,3,1,2] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[4,5,6,7,8,3,1,2] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,2,1] => 5

[8,7,6,5,3,4,1,2] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[7,8,6,5,3,4,1,2] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,8,5,3,4,1,2] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,5,6,3,4,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,8,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[8,6,5,7,3,4,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,5,8,3,4,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,7,5,8,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,7,8,3,4,1,2] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[8,7,6,3,4,5,1,2] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,6,7,3,4,5,1,2] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[7,8,5,4,3,6,1,2] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,4,5,3,6,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,8,4,5,3,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[8,7,4,3,5,6,1,2] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,8,3,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[8,6,5,4,3,7,1,2] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,5,4,3,6,7,1,2] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,3,4,5,6,7,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[7,6,5,4,3,8,1,2] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[7,5,6,4,3,8,1,2] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,7,4,5,3,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,4,7,3,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,5,6,7,3,8,1,2] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[7,6,5,3,4,8,1,2] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,6,4,3,5,8,1,2] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,5,4,3,6,8,1,2] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,3,4,5,6,8,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[6,5,4,3,7,8,1,2] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[5,4,6,3,7,8,1,2] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,6,3,4,7,8,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,3,4,5,7,8,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[4,5,3,6,7,8,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[5,3,4,6,7,8,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[4,3,5,6,7,8,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[3,4,5,6,7,8,1,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,2] => 6

[8,7,6,5,4,2,1,3] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => 2

[7,8,6,5,4,2,1,3] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,6,7,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,8,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,8,5,4,2,1,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,1,1,1] => 3

[8,7,5,6,4,2,1,3] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,8,5,6,4,2,1,3] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[7,6,5,8,4,2,1,3] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,5,8,4,2,1,3] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[7,5,6,8,4,2,1,3] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[6,5,7,8,4,2,1,3] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[5,6,7,8,4,2,1,3] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,2,1,1] => 4

[8,7,6,4,5,2,1,3] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,5,4,8,2,1,3] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,5,4,8,2,1,3] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[7,6,4,5,8,2,1,3] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[7,5,4,6,8,2,1,3] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[4,5,6,7,8,2,1,3] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,2,1] => 5

[8,7,6,5,4,1,2,3] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,8,6,5,4,1,2,3] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,8,5,4,1,2,3] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,8,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[7,8,5,6,4,1,2,3] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[8,6,5,7,4,1,2,3] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[8,5,6,7,4,1,2,3] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[7,6,5,8,4,1,2,3] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,5,8,4,1,2,3] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[7,5,6,8,4,1,2,3] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[6,5,7,8,4,1,2,3] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[8,7,6,4,5,1,2,3] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,6,7,4,5,1,2,3] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,7,5,4,6,1,2,3] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,8,5,4,6,1,2,3] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,6,4,7,1,2,3] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,5,6,7,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[7,6,5,4,8,1,2,3] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,7,5,4,8,1,2,3] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,5,6,4,8,1,2,3] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,5,7,4,8,1,2,3] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,4,5,6,8,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[6,4,5,7,8,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[5,4,6,7,8,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[4,5,6,7,8,1,2,3] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[8,7,6,5,3,2,1,4] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => 2

[7,8,6,5,3,2,1,4] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,6,7,5,3,2,1,4] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,8,5,3,2,1,4] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,8,5,3,2,1,4] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,1,1,1] => 3

[8,7,5,6,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,8,5,6,3,2,1,4] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[8,6,5,7,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,5,6,7,3,2,1,4] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[7,6,5,8,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,5,8,3,2,1,4] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[7,5,6,8,3,2,1,4] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[6,5,7,8,3,2,1,4] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[5,6,7,8,3,2,1,4] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,2,1,1] => 4

[8,7,6,5,2,3,1,4] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[7,8,6,5,2,3,1,4] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,6,7,5,2,3,1,4] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,8,5,2,3,1,4] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,5,6,2,3,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,8,5,6,2,3,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[8,6,5,7,2,3,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,5,8,2,3,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,7,5,8,2,3,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,7,8,2,3,1,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[8,7,6,5,3,1,2,4] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,8,6,5,3,1,2,4] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,6,7,5,3,1,2,4] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,8,5,3,1,2,4] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,7,5,6,3,1,2,4] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,8,5,6,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[8,6,5,7,3,1,2,4] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,5,8,3,1,2,4] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,5,8,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[7,5,6,8,3,1,2,4] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[6,5,7,8,3,1,2,4] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[8,7,6,5,2,1,3,4] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,8,6,5,2,1,3,4] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,8,5,2,1,3,4] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,8,5,2,1,3,4] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[8,7,5,6,2,1,3,4] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,8,5,6,2,1,3,4] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[8,6,5,7,2,1,3,4] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[8,5,6,7,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[7,6,5,8,2,1,3,4] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,5,8,2,1,3,4] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[7,5,6,8,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[6,5,7,8,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[8,7,6,5,1,2,3,4] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,6,5,1,2,3,4] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,6,7,5,1,2,3,4] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[7,6,8,5,1,2,3,4] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,7,8,5,1,2,3,4] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[8,7,5,6,1,2,3,4] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,8,5,6,1,2,3,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[8,6,5,7,1,2,3,4] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,5,6,7,1,2,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[7,6,5,8,1,2,3,4] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,7,5,8,1,2,3,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[7,5,6,8,1,2,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,5,7,8,1,2,3,4] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[8,7,6,4,3,2,1,5] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => 2

[7,8,6,4,3,2,1,5] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,6,7,4,3,2,1,5] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,8,4,3,2,1,5] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,8,4,3,2,1,5] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,1,1,1] => 3

[8,7,6,3,4,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[7,8,6,3,4,2,1,5] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[8,7,6,4,2,3,1,5] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,7,6,3,2,4,1,5] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,6,7,3,2,4,1,5] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,6,2,3,4,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,6,7,2,3,4,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[7,6,8,2,3,4,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,7,6,4,3,1,2,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[6,7,8,4,3,1,2,5] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[8,7,6,3,4,1,2,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,8,6,3,4,1,2,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[8,6,7,3,4,1,2,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,7,6,4,2,1,3,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,8,6,4,2,1,3,5] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,6,7,4,2,1,3,5] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,8,4,2,1,3,5] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[8,7,6,4,1,2,3,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,6,4,1,2,3,5] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[7,6,8,4,1,2,3,5] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,7,8,4,1,2,3,5] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[8,7,6,3,2,1,4,5] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,8,6,3,2,1,4,5] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,6,7,3,2,1,4,5] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,8,3,2,1,4,5] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,8,3,2,1,4,5] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[8,7,6,2,3,1,4,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,8,6,2,3,1,4,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[8,6,7,2,3,1,4,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,8,2,3,1,4,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,7,6,3,1,2,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,6,3,1,2,4,5] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,6,7,3,1,2,4,5] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[7,6,8,3,1,2,4,5] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,7,8,3,1,2,4,5] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[8,7,6,2,1,3,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,6,2,1,3,4,5] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,6,7,2,1,3,4,5] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,7,8,2,1,3,4,5] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[8,7,6,1,2,3,4,5] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[7,8,6,1,2,3,4,5] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[8,6,7,1,2,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,6,8,1,2,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,7,8,1,2,3,4,5] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[8,7,5,4,3,2,1,6] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => 2

[7,8,5,4,3,2,1,6] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,7,4,5,3,2,1,6] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,8,4,5,3,2,1,6] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[8,7,5,3,4,2,1,6] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[8,7,3,4,5,2,1,6] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[8,7,4,5,2,3,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,8,4,5,2,3,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[8,7,5,3,2,4,1,6] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,7,4,3,2,5,1,6] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[7,8,4,3,2,5,1,6] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,3,4,2,5,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,8,3,4,2,5,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,2,3,4,5,1,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[8,7,5,4,3,1,2,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,8,5,4,3,1,2,6] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,7,5,3,4,1,2,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,8,5,4,2,1,3,6] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,7,5,4,1,2,3,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,5,4,1,2,3,6] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[7,8,4,5,1,2,3,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[8,7,5,3,2,1,4,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,8,5,3,2,1,4,6] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,7,5,3,1,2,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,5,3,1,2,4,6] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,7,5,2,1,3,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,5,2,1,3,4,6] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,7,5,1,2,3,4,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[7,8,5,1,2,3,4,6] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[8,7,4,3,2,1,5,6] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,8,4,3,2,1,5,6] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,7,3,4,2,1,5,6] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,8,3,4,2,1,5,6] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[7,8,4,2,3,1,5,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[8,7,3,2,4,1,5,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,8,3,2,4,1,5,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,8,4,3,1,2,5,6] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,7,3,4,1,2,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,8,3,4,1,2,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[8,7,4,2,1,3,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,4,2,1,3,5,6] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,7,4,1,2,3,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[8,7,3,2,1,4,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,8,3,2,1,4,5,6] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,7,2,3,1,4,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,8,2,3,1,4,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[7,8,3,1,2,4,5,6] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[8,7,2,1,3,4,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[7,8,2,1,3,4,5,6] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[8,7,1,2,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[7,8,1,2,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[8,6,5,4,3,2,1,7] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => 2

[8,5,6,4,3,2,1,7] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,6,4,5,3,2,1,7] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,4,5,6,3,2,1,7] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[8,6,5,3,4,2,1,7] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[8,4,3,5,6,2,1,7] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[8,6,5,4,2,3,1,7] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,5,6,4,2,3,1,7] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,6,5,3,2,4,1,7] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,6,5,2,3,4,1,7] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,5,6,2,3,4,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,6,4,2,3,5,1,7] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,6,3,2,4,5,1,7] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,5,4,3,2,6,1,7] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,4,3,5,2,6,1,7] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,5,4,2,3,6,1,7] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,4,5,2,3,6,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,5,3,2,4,6,1,7] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,2,3,4,5,6,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[8,6,5,4,3,1,2,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[8,6,4,5,3,1,2,7] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[8,6,5,3,4,1,2,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,5,6,3,4,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,4,3,6,1,2,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,3,4,5,6,1,2,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[8,6,5,4,2,1,3,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[8,5,6,4,2,1,3,7] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,4,5,6,2,1,3,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[8,6,5,4,1,2,3,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[8,5,6,4,1,2,3,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,6,4,5,1,2,3,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,4,5,6,1,2,3,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,6,5,3,2,1,4,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[8,5,6,3,2,1,4,7] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,6,5,2,3,1,4,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,5,6,2,3,1,4,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,6,3,1,2,4,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,6,5,2,1,3,4,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[8,5,6,2,1,3,4,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,6,5,1,2,3,4,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[8,5,6,1,2,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,6,4,3,2,1,5,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[8,6,3,4,2,1,5,7] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[8,6,4,2,3,1,5,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,6,3,2,4,1,5,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,6,4,3,1,2,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[8,6,3,4,1,2,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,6,4,2,1,3,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[8,6,4,1,2,3,5,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[8,6,3,2,1,4,5,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[8,6,1,2,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[8,5,4,3,2,1,6,7] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[8,4,5,3,2,1,6,7] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[8,4,3,5,2,1,6,7] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[8,3,4,5,2,1,6,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[8,4,5,2,3,1,6,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,2,3,4,5,1,6,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[8,5,3,4,1,2,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,3,4,5,1,2,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,5,4,2,1,3,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[8,5,4,1,2,3,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[8,4,5,1,2,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,5,3,2,1,4,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[8,5,3,1,2,4,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[8,5,2,1,3,4,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[8,5,1,2,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[8,4,3,2,1,5,6,7] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[8,3,4,2,1,5,6,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,4,2,3,1,5,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,2,3,4,1,5,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,3,4,1,2,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,4,2,1,3,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[8,4,1,2,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[8,3,2,1,4,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[8,2,3,1,4,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,3,1,2,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[8,2,1,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[8,1,2,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,1] => 7

[7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => 2

[6,7,5,4,3,2,1,8] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,5,6,4,3,2,1,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,5,7,4,3,2,1,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,6,7,4,3,2,1,8] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,1,1,1] => 3

[7,6,4,5,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,4,5,3,2,1,8] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[7,5,4,6,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,4,5,6,3,2,1,8] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[6,5,4,7,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,6,4,7,3,2,1,8] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[5,4,6,7,3,2,1,8] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[4,5,6,7,3,2,1,8] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,2,1,1] => 4

[7,6,5,3,4,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,5,3,4,2,1,8] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[7,6,4,3,5,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,4,3,5,2,1,8] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[7,6,3,4,5,2,1,8] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[7,5,4,3,6,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[6,5,4,3,7,2,1,8] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[5,6,4,3,7,2,1,8] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[5,4,3,6,7,2,1,8] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[3,4,5,6,7,2,1,8] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,2,1] => 5

[7,6,5,4,2,3,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[6,7,5,4,2,3,1,8] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,6,4,2,3,1,8] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,4,5,2,3,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,7,4,5,2,3,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,5,4,6,2,3,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,5,4,7,2,3,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,6,4,7,2,3,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,5,6,7,2,3,1,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[7,6,5,3,2,4,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[6,5,7,3,2,4,1,8] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,5,2,3,4,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,5,6,2,3,4,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,5,7,2,3,4,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,7,4,3,2,5,1,8] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,7,3,4,2,5,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,6,4,2,3,5,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,6,3,2,4,5,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[6,7,2,3,4,5,1,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[7,5,4,3,2,6,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[7,4,5,3,2,6,1,8] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,3,4,2,6,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,4,3,5,2,6,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,3,2,4,6,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,2,3,4,5,6,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[6,5,4,3,2,7,1,8] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[5,6,4,3,2,7,1,8] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,6,3,4,2,7,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,4,3,6,2,7,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[4,5,3,6,2,7,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[3,4,5,6,2,7,1,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[5,4,6,2,3,7,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,5,3,2,4,7,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[5,4,3,2,6,7,1,8] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[4,5,2,3,6,7,1,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[5,2,3,4,6,7,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[3,4,2,5,6,7,1,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[4,2,3,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[3,2,4,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[2,3,4,5,6,7,1,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,2] => 6

[7,6,5,4,3,1,2,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[6,7,5,4,3,1,2,8] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,5,6,4,3,1,2,8] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,4,5,3,1,2,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[5,4,6,7,3,1,2,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[7,6,5,3,4,1,2,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,5,7,3,4,1,2,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,5,4,3,7,1,2,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,3,4,5,7,1,2,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[4,3,5,6,7,1,2,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[3,4,5,6,7,1,2,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[7,6,5,4,2,1,3,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[6,5,7,4,2,1,3,8] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,4,5,2,1,3,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,5,4,6,2,1,3,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[5,4,6,7,2,1,3,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[7,6,5,4,1,2,3,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[5,6,7,4,1,2,3,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[7,4,5,6,1,2,3,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,6,4,7,1,2,3,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,4,6,7,1,2,3,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[4,5,6,7,1,2,3,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[7,6,5,3,2,1,4,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,6,5,2,3,1,4,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,7,5,2,3,1,4,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,5,6,2,3,1,4,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,5,7,2,3,1,4,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,6,7,3,1,2,4,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[7,6,5,2,1,3,4,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,5,6,2,1,3,4,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,6,7,2,1,3,4,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[7,6,5,1,2,3,4,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[6,7,5,1,2,3,4,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[7,5,6,1,2,3,4,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,5,7,1,2,3,4,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[5,6,7,1,2,3,4,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[7,6,4,3,2,1,5,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[6,7,4,3,2,1,5,8] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,3,4,2,1,5,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,3,4,2,1,5,8] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[7,6,4,2,3,1,5,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,7,4,2,3,1,5,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,3,2,4,1,5,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,6,4,3,1,2,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,6,4,2,1,3,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,6,3,2,1,4,5,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[6,7,3,2,1,4,5,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[7,6,2,3,1,4,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,7,2,3,1,4,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,7,3,1,2,4,5,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[7,6,1,2,3,4,5,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[6,7,1,2,3,4,5,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[7,5,4,3,2,1,6,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[7,4,5,3,2,1,6,8] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,4,3,5,2,1,6,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,3,4,5,2,1,6,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[7,5,4,2,3,1,6,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,5,3,2,4,1,6,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,2,3,4,5,1,6,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[7,5,4,3,1,2,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,4,5,1,2,3,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,5,3,2,1,4,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,5,2,3,1,4,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,5,3,1,2,4,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[7,5,1,2,3,4,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[7,4,3,2,1,5,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[7,2,3,4,1,5,6,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[7,4,3,1,2,5,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[7,3,4,1,2,5,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,4,1,2,3,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[7,3,2,1,4,5,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[7,2,3,1,4,5,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,3,1,2,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[7,2,1,3,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[7,1,2,3,4,5,6,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,1] => 7

[6,5,4,3,2,1,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 3

[5,6,4,3,2,1,7,8] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[5,4,6,3,2,1,7,8] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[4,5,6,3,2,1,7,8] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[6,5,3,4,2,1,7,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[5,6,3,4,2,1,7,8] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[6,3,4,5,2,1,7,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[5,4,6,2,3,1,7,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,6,3,2,4,1,7,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[6,4,3,2,5,1,7,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,2,3,4,5,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[5,4,3,2,6,1,7,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[4,5,3,2,6,1,7,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,3,5,2,6,1,7,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,2,3,4,6,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[4,2,3,5,6,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[3,2,4,5,6,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[2,3,4,5,6,1,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[6,5,4,3,1,2,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[5,6,4,3,1,2,7,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[5,4,6,3,1,2,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,6,3,4,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,4,3,5,1,2,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[5,4,3,6,1,2,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[4,3,5,6,1,2,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[3,4,5,6,1,2,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[6,5,4,2,1,3,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[5,6,4,2,1,3,7,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[6,4,5,2,1,3,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,4,6,2,1,3,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[4,5,6,2,1,3,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[6,5,4,1,2,3,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[4,5,6,1,2,3,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[5,6,3,2,1,4,7,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[5,6,2,1,3,4,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[6,5,1,2,3,4,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[6,4,3,2,1,5,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[6,3,4,2,1,5,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,4,3,1,2,5,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[6,4,2,1,3,5,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[6,4,1,2,3,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[6,2,3,1,4,5,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,3,1,2,4,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[6,1,2,3,4,5,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,1] => 7

[5,4,3,2,1,6,7,8] => [[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 4

[4,5,3,2,1,6,7,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[5,3,4,2,1,6,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[4,3,5,2,1,6,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[3,4,5,2,1,6,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[5,4,2,3,1,6,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[4,5,2,3,1,6,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,3,2,4,1,6,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[5,2,3,4,1,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[4,3,2,5,1,6,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[3,4,2,5,1,6,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,2,3,5,1,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[3,2,4,5,1,6,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[2,3,4,5,1,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[5,4,3,1,2,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[4,3,5,1,2,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[3,4,5,1,2,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[5,4,2,1,3,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[4,5,2,1,3,6,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[5,4,1,2,3,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[4,5,1,2,3,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[5,3,2,1,4,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[5,2,3,1,4,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[5,3,1,2,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[5,2,1,3,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[5,1,2,3,4,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,1] => 7

[4,3,2,1,5,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 5

[3,4,2,1,5,6,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[4,2,3,1,5,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[3,2,4,1,5,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[2,3,4,1,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[4,3,1,2,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[4,2,1,3,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[4,1,2,3,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,1] => 7

[3,2,1,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,1,1] => 6

[2,3,1,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[3,1,2,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,1] => 7

[2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,1] => 7

[1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8] => 8

[6,8,7,5,4,3,2,1] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[5,8,7,6,4,3,2,1] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[5,7,8,6,4,3,2,1] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,1,1,1,1,1] => 3

[6,5,8,7,4,3,2,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[5,6,8,7,4,3,2,1] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [3,1,1,1,1,1] => 3

[5,7,6,8,4,3,2,1] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,1,1,1,1,1] => 3

[4,8,7,6,5,3,2,1] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [2,1,1,1,1,1,1] => 2

[4,7,8,6,5,3,2,1] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [3,1,1,1,1,1] => 3

[4,6,8,7,5,3,2,1] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [3,1,1,1,1,1] => 3

[4,7,6,8,5,3,2,1] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [3,1,1,1,1,1] => 3

[4,5,8,7,6,3,2,1] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,1,1,1,1,1] => 3

[4,5,6,8,7,3,2,1] => [[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [4,1,1,1,1] => 4

[5,7,6,4,8,3,2,1] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[4,7,6,5,8,3,2,1] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [3,1,1,1,1,1] => 3

[4,6,7,5,8,3,2,1] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [3,2,1,1,1] => 3

[5,4,7,6,8,3,2,1] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,1,1,1,1,1] => 3

[4,5,7,6,8,3,2,1] => [[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [4,1,1,1,1] => 4

[4,6,5,7,8,3,2,1] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [4,1,1,1,1] => 4

[3,8,7,6,5,4,2,1] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [2,1,1,1,1,1,1] => 2

[3,7,8,6,5,4,2,1] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [3,1,1,1,1,1] => 3

[3,6,8,7,5,4,2,1] => [[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [3,1,1,1,1,1] => 3

[3,5,8,7,6,4,2,1] => [[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [3,1,1,1,1,1] => 3

[3,5,7,8,6,4,2,1] => [[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [4,1,1,1,1] => 4

[3,5,6,8,7,4,2,1] => [[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [4,1,1,1,1] => 4

[3,7,6,5,8,4,2,1] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [3,1,1,1,1,1] => 3

[3,5,7,6,8,4,2,1] => [[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [4,1,1,1,1] => 4

[3,5,6,7,8,4,2,1] => [[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [5,1,1,1] => 5

[4,3,8,7,6,5,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,1,1,1,1,1,1] => 2

[4,3,6,7,8,5,2,1] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [4,1,1,1,1] => 4

[3,4,6,7,8,5,2,1] => [[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [5,1,1,1] => 5

[5,4,3,8,7,6,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,1,1,1,1,1,1] => 2

[4,3,5,7,8,6,2,1] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [4,1,1,1,1] => 4

[3,4,5,7,8,6,2,1] => [[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [5,1,1,1] => 5

[6,5,4,3,8,7,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 2

[4,5,6,3,8,7,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1] => 3

[4,3,6,5,8,7,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[5,4,3,6,8,7,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1] => 3

[4,5,3,6,8,7,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,1,1,1] => 3

[4,3,5,6,8,7,2,1] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,1,1,1,1] => 4

[3,4,5,6,8,7,2,1] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [5,1,1,1] => 5

[3,7,6,5,4,8,2,1] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [3,1,1,1,1,1] => 3

[3,5,6,7,4,8,2,1] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [4,2,1,1] => 4

[3,4,6,7,5,8,2,1] => [[[.,[.,[[.,[.,.]],[.,.]]]],.],.] => [4,3,6,5,2,1,7,8] => [4,2,1,1] => 4

[3,5,4,7,6,8,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [4,1,1,1,1] => 4

[3,4,6,5,7,8,2,1] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [5,1,1,1] => 5

[2,8,7,6,5,4,3,1] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [2,1,1,1,1,1,1] => 2

[2,7,8,6,5,4,3,1] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [3,1,1,1,1,1] => 3

[2,6,8,7,5,4,3,1] => [[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [3,1,1,1,1,1] => 3

[2,6,7,8,5,4,3,1] => [[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [4,1,1,1,1] => 4

[2,5,6,7,8,4,3,1] => [[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [5,1,1,1] => 5

[2,4,8,7,6,5,3,1] => [[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [3,1,1,1,1,1] => 3

[2,4,7,8,6,5,3,1] => [[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [4,1,1,1,1] => 4

[2,4,6,8,7,5,3,1] => [[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,1,1,1,1] => 4

[2,4,6,7,8,5,3,1] => [[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [5,1,1,1] => 5

[2,5,4,7,8,6,3,1] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [4,1,1,1,1] => 4

[2,4,5,7,8,6,3,1] => [[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [5,1,1,1] => 5

[2,6,5,4,8,7,3,1] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [3,1,1,1,1,1] => 3

[2,4,6,5,8,7,3,1] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [4,1,1,1,1] => 4

[2,4,5,6,8,7,3,1] => [[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [5,1,1,1] => 5

[2,7,6,5,4,8,3,1] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [3,1,1,1,1,1] => 3

[2,5,6,7,4,8,3,1] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [4,2,1,1] => 4

[2,5,6,4,7,8,3,1] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1] => 4

[2,4,6,5,7,8,3,1] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [5,1,1,1] => 5

[2,4,5,6,7,8,3,1] => [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [6,1,1] => 6

[3,2,8,7,6,5,4,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,1,1,1,1,1,1] => 2

[3,2,6,8,7,5,4,1] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [3,1,1,1,1,1] => 3

[3,2,5,7,8,6,4,1] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,1,1,1,1] => 4

[3,2,6,7,5,8,4,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[2,3,8,7,6,5,4,1] => [[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [3,1,1,1,1,1] => 3

[2,3,6,7,8,5,4,1] => [[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [5,1,1,1] => 5

[2,3,5,7,8,6,4,1] => [[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [5,1,1,1] => 5

[2,3,6,5,8,7,4,1] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [4,1,1,1,1] => 4

[2,3,5,6,8,7,4,1] => [[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [5,1,1,1] => 5

[2,3,5,6,7,8,4,1] => [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [6,1,1] => 6

[4,3,2,8,7,6,5,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[4,3,2,7,8,6,5,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[4,3,2,6,8,7,5,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[3,4,2,8,7,6,5,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[2,4,3,8,7,6,5,1] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [3,1,1,1,1,1] => 3

[2,4,3,6,8,7,5,1] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [4,1,1,1,1] => 4

[3,2,4,7,8,6,5,1] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [4,1,1,1,1] => 4

[2,3,4,8,7,6,5,1] => [[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,1,1,1,1] => 4

[2,3,4,6,8,7,5,1] => [[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [5,1,1,1] => 5

[2,3,4,7,6,8,5,1] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [5,1,1,1] => 5

[2,3,4,6,7,8,5,1] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [6,1,1] => 6

[5,4,3,2,8,7,6,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[5,4,3,2,7,8,6,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[3,5,4,2,7,8,6,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[4,3,5,2,8,7,6,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[2,5,4,3,8,7,6,1] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [3,1,1,1,1,1] => 3

[2,5,4,3,7,8,6,1] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [4,1,1,1,1] => 4

[2,4,5,3,8,7,6,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,2,1,1,1] => 3

[2,4,5,3,7,8,6,1] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,2,1,1] => 4

[3,2,5,4,7,8,6,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 4

[4,3,2,5,8,7,6,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 3

[3,4,2,5,8,7,6,1] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,1,1,1] => 3

[3,2,4,5,7,8,6,1] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [5,1,1,1] => 5

[2,3,4,5,8,7,6,1] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [5,1,1,1] => 5

[2,3,4,5,7,8,6,1] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,1,1] => 6

[6,5,4,3,2,8,7,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 2

[4,6,5,3,2,8,7,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,5,6,4,2,8,7,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1] => 3

[4,3,6,5,2,8,7,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,4,3,6,2,8,7,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[2,6,5,4,3,8,7,1] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [3,1,1,1,1,1] => 3

[2,4,6,5,3,8,7,1] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [3,2,1,1,1] => 3

[2,4,5,6,3,8,7,1] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [4,2,1,1] => 4

[3,2,6,5,4,8,7,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[4,3,2,6,5,8,7,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[3,4,2,6,5,8,7,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[2,4,3,6,5,8,7,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[3,2,4,6,5,8,7,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1] => 4

[2,3,4,6,5,8,7,1] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [5,1,1,1] => 5

[5,4,3,2,6,8,7,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1] => 3

[2,4,5,3,6,8,7,1] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,2,1,1] => 4

[3,2,5,4,6,8,7,1] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,1,1,1,1] => 4

[4,3,2,5,6,8,7,1] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [4,1,1,1,1] => 4

[3,4,2,5,6,8,7,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [4,2,1,1] => 4

[2,4,3,5,6,8,7,1] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [5,1,1,1] => 5

[3,2,4,5,6,8,7,1] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [5,1,1,1] => 5

[2,3,4,5,6,8,7,1] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [6,1,1] => 6

[5,7,6,4,3,2,8,1] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[4,7,6,5,3,2,8,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [2,2,1,1,1,1] => 2

[4,6,7,5,3,2,8,1] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,1,1,1] => 3

[3,5,7,6,4,2,8,1] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [3,2,1,1,1] => 3

[4,3,7,6,5,2,8,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[3,4,7,6,5,2,8,1] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [3,2,1,1,1] => 3

[5,4,3,7,6,2,8,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[3,5,4,7,6,2,8,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[3,4,5,7,6,2,8,1] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [4,2,1,1] => 4

[4,6,5,3,7,2,8,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[3,6,5,4,7,2,8,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[3,5,6,4,7,2,8,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[4,3,6,5,7,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[3,4,6,5,7,2,8,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,2,1,1] => 4

[3,5,4,6,7,2,8,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[2,7,6,5,4,3,8,1] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [3,1,1,1,1,1] => 3

[2,5,6,7,4,3,8,1] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,2,1,1] => 4

[2,4,6,7,5,3,8,1] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [4,2,1,1] => 4

[2,4,6,5,7,3,8,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[2,4,5,6,7,3,8,1] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [5,2,1] => 5

[3,2,7,6,5,4,8,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 3

[3,2,6,7,5,4,8,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[3,2,6,5,7,4,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[2,3,5,6,7,4,8,1] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [5,2,1] => 5

[2,4,3,6,7,5,8,1] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [4,2,1,1] => 4

[2,3,4,7,6,5,8,1] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [5,1,1,1] => 5

[2,3,4,6,7,5,8,1] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [5,2,1] => 5

[5,4,3,2,7,6,8,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[4,3,5,2,7,6,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[3,4,5,2,7,6,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[3,2,5,4,7,6,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[2,3,5,4,7,6,8,1] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [5,1,1,1] => 5

[4,3,2,5,7,6,8,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[2,3,4,5,7,6,8,1] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [6,1,1] => 6

[3,5,6,4,2,7,8,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1] => 3

[2,6,5,4,3,7,8,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [4,1,1,1,1] => 4

[2,4,6,5,3,7,8,1] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [4,2,1,1] => 4

[2,3,6,5,4,7,8,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [5,1,1,1] => 5

[2,3,5,6,4,7,8,1] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [5,2,1] => 5

[2,3,4,6,5,7,8,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [6,1,1] => 6

[2,4,5,3,6,7,8,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [5,2,1] => 5

[3,2,5,4,6,7,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[2,4,3,5,6,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [6,1,1] => 6

[1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [2,1,1,1,1,1,1] => 2

[1,7,8,6,5,4,3,2] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [3,1,1,1,1,1] => 3

[1,6,8,7,5,4,3,2] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,1,1,1,1,1] => 3

[1,7,6,8,5,4,3,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [3,1,1,1,1,1] => 3

[1,6,7,8,5,4,3,2] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [4,1,1,1,1] => 4

[1,5,8,7,6,4,3,2] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,1,1,1,1,1] => 3

[1,6,5,8,7,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [3,1,1,1,1,1] => 3

[1,7,6,5,8,4,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [3,1,1,1,1,1] => 3

[1,6,7,5,8,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [3,2,1,1,1] => 3

[1,5,7,6,8,4,3,2] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [4,1,1,1,1] => 4

[1,5,6,7,8,4,3,2] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,1,1,1] => 5

[1,4,8,7,6,5,3,2] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [3,1,1,1,1,1] => 3

[1,4,7,8,6,5,3,2] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [4,1,1,1,1] => 4

[1,4,6,7,8,5,3,2] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [5,1,1,1] => 5

[1,5,4,7,8,6,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [4,1,1,1,1] => 4

[1,4,5,8,7,6,3,2] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [4,1,1,1,1] => 4

[1,4,6,5,8,7,3,2] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [4,1,1,1,1] => 4

[1,7,6,5,4,8,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [3,1,1,1,1,1] => 3

[1,4,7,6,5,8,3,2] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [4,1,1,1,1] => 4

[1,6,5,4,7,8,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [4,1,1,1,1] => 4

[1,5,4,6,7,8,3,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [5,1,1,1] => 5

[1,4,5,6,7,8,3,2] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [6,1,1] => 6

[1,3,8,7,6,5,4,2] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [3,1,1,1,1,1] => 3

[1,3,6,8,7,5,4,2] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [4,1,1,1,1] => 4

[1,3,6,7,8,5,4,2] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [5,1,1,1] => 5

[1,3,5,8,7,6,4,2] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [4,1,1,1,1] => 4

[1,3,5,7,8,6,4,2] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [5,1,1,1] => 5

[1,3,6,7,5,8,4,2] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [4,2,1,1] => 4

[1,3,6,5,7,8,4,2] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [5,1,1,1] => 5

[1,3,5,6,7,8,4,2] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,1,1] => 6

[1,4,3,8,7,6,5,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [3,1,1,1,1,1] => 3

[1,4,3,7,8,6,5,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [4,1,1,1,1] => 4

[1,4,3,7,6,8,5,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [4,1,1,1,1] => 4

[1,3,4,8,7,6,5,2] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,1,1,1,1] => 4

[1,3,4,7,6,8,5,2] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [5,1,1,1] => 5

[1,5,4,3,8,7,6,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [3,1,1,1,1,1] => 3

[1,4,5,3,8,7,6,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,2,1,1,1] => 3

[1,4,5,3,7,8,6,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1] => 4

[1,3,5,4,8,7,6,2] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [4,1,1,1,1] => 4

[1,4,3,5,7,8,6,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [5,1,1,1] => 5

[1,3,4,5,7,8,6,2] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,1,1] => 6

[1,6,5,4,3,8,7,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 3

[1,4,6,5,3,8,7,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [3,2,1,1,1] => 3

[1,4,3,6,5,8,7,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[1,4,5,3,6,8,7,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[1,3,4,5,6,8,7,2] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [6,1,1] => 6

[1,7,6,5,4,3,8,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [3,1,1,1,1,1] => 3

[1,6,7,5,4,3,8,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [3,2,1,1,1] => 3

[1,6,5,7,4,3,8,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,2,1,1,1] => 3

[1,4,6,7,5,3,8,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [4,2,1,1] => 4

[1,5,6,4,7,3,8,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[1,4,6,5,7,3,8,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1] => 4

[1,4,5,6,7,3,8,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [5,2,1] => 5

[1,3,6,5,7,4,8,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [4,2,1,1] => 4

[1,3,5,6,7,4,8,2] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [5,2,1] => 5

[1,3,5,4,7,6,8,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [5,1,1,1] => 5

[1,3,4,5,7,6,8,2] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [6,1,1] => 6

[1,3,4,6,5,7,8,2] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [6,1,1] => 6

[1,5,4,3,6,7,8,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,1,1,1] => 5

[1,4,5,3,6,7,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1] => 5

[1,4,3,5,6,7,8,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [6,1,1] => 6

[1,3,4,5,6,7,8,2] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [7,1] => 7

[2,1,8,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1] => 2

[2,1,7,8,6,5,4,3] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,6,8,7,5,4,3] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,7,6,8,5,4,3] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,6,7,8,5,4,3] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,1,1,1,1] => 4

[2,1,5,7,8,6,4,3] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [4,1,1,1,1] => 4

[2,1,6,5,8,7,4,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,7,6,5,8,4,3] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,6,7,5,8,4,3] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[2,1,5,6,7,8,4,3] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,1,1,1] => 5

[2,1,4,8,7,6,5,3] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,1,1,1,1,1] => 3

[2,1,4,7,8,6,5,3] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,1,1,1,1] => 4

[2,1,4,6,8,7,5,3] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [4,1,1,1,1] => 4

[2,1,5,4,8,7,6,3] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[2,1,5,4,7,8,6,3] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[2,1,4,5,7,8,6,3] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,1,1,1] => 5

[2,1,6,5,4,8,7,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[2,1,5,6,4,8,7,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[2,1,4,6,5,8,7,3] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[2,1,4,5,6,8,7,3] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,1,1,1] => 5

[2,1,7,6,5,4,8,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[2,1,6,5,7,4,8,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[2,1,5,4,7,6,8,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,1,4,5,6,7,8,3] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,1,1] => 6

[1,2,8,7,6,5,4,3] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [3,1,1,1,1,1] => 3

[1,2,7,8,6,5,4,3] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [4,1,1,1,1] => 4

[1,2,6,7,8,5,4,3] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [5,1,1,1] => 5

[1,2,6,5,8,7,4,3] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [4,1,1,1,1] => 4

[1,2,7,6,5,8,4,3] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [4,1,1,1,1] => 4

[1,2,6,5,7,8,4,3] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [5,1,1,1] => 5

[1,2,5,6,7,8,4,3] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [6,1,1] => 6

[1,2,4,8,7,6,5,3] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [4,1,1,1,1] => 4

[1,2,4,7,8,6,5,3] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,1,1,1] => 5

[1,2,4,6,7,8,5,3] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [6,1,1] => 6

[1,2,5,4,8,7,6,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [4,1,1,1,1] => 4

[1,2,4,5,8,7,6,3] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [5,1,1,1] => 5

[1,2,4,5,6,8,7,3] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [6,1,1] => 6

[1,2,7,6,5,4,8,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [4,1,1,1,1] => 4

[1,2,5,7,6,4,8,3] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [4,2,1,1] => 4

[1,2,5,4,7,6,8,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [5,1,1,1] => 5

[1,2,6,5,4,7,8,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [5,1,1,1] => 5

[1,2,5,4,6,7,8,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [6,1,1] => 6

[1,2,4,5,6,7,8,3] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [7,1] => 7

[3,2,1,8,7,6,5,4] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[3,2,1,7,8,6,5,4] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[3,2,1,6,7,8,5,4] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[3,2,1,5,8,7,6,4] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[3,2,1,6,7,5,8,4] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[3,2,1,5,7,6,8,4] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[3,2,1,6,5,7,8,4] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[3,2,1,5,6,7,8,4] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[2,3,1,8,7,6,5,4] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[2,3,1,6,8,7,5,4] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[2,3,1,5,7,8,6,4] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[2,3,1,6,5,8,7,4] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[2,3,1,6,7,5,8,4] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[2,3,1,5,7,6,8,4] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[2,3,1,5,6,7,8,4] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[1,3,2,8,7,6,5,4] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [3,1,1,1,1,1] => 3

[1,3,2,6,8,7,5,4] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [4,1,1,1,1] => 4

[1,3,2,7,6,8,5,4] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [4,1,1,1,1] => 4

[1,3,2,6,7,8,5,4] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [5,1,1,1] => 5

[1,3,2,5,8,7,6,4] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [4,1,1,1,1] => 4

[1,3,2,6,5,8,7,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,3,2,5,6,8,7,4] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [5,1,1,1] => 5

[1,3,2,6,7,5,8,4] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[1,3,2,6,5,7,8,4] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[1,3,2,5,6,7,8,4] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [6,1,1] => 6

[2,1,3,8,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,1,1,1,1,1] => 3

[2,1,3,6,5,8,7,4] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[2,1,3,5,6,7,8,4] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,1,1] => 6

[1,2,3,8,7,6,5,4] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [4,1,1,1,1] => 4

[1,2,3,7,8,6,5,4] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [5,1,1,1] => 5

[1,2,3,6,8,7,5,4] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [5,1,1,1] => 5

[1,2,3,7,6,8,5,4] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [5,1,1,1] => 5

[1,2,3,6,7,8,5,4] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [6,1,1] => 6

[1,2,3,5,8,7,6,4] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [5,1,1,1] => 5

[1,2,3,5,7,8,6,4] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [6,1,1] => 6

[1,2,3,6,5,8,7,4] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [5,1,1,1] => 5

[1,2,3,5,6,8,7,4] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [6,1,1] => 6

[1,2,3,7,6,5,8,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [5,1,1,1] => 5

[1,2,3,6,7,5,8,4] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [5,2,1] => 5

[1,2,3,5,7,6,8,4] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [6,1,1] => 6

[1,2,3,6,5,7,8,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [6,1,1] => 6

[1,2,3,5,6,7,8,4] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,1] => 7

[4,3,2,1,8,7,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[4,3,2,1,7,8,6,5] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[4,3,2,1,6,8,7,5] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[4,3,2,1,7,6,8,5] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[4,3,2,1,6,7,8,5] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[3,4,2,1,8,7,6,5] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[2,4,3,1,8,7,6,5] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[2,4,3,1,6,8,7,5] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,4,3,1,7,6,8,5] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,4,3,1,6,7,8,5] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[3,2,4,1,8,7,6,5] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,2,4,1,7,8,6,5] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[3,2,4,1,6,8,7,5] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,2,4,1,7,6,8,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,2,4,1,6,7,8,5] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[2,3,4,1,8,7,6,5] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[2,3,4,1,7,8,6,5] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[2,3,4,1,6,8,7,5] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[2,3,4,1,7,6,8,5] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,3,4,1,6,7,8,5] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[1,4,3,2,8,7,6,5] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[1,4,3,2,7,6,8,5] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[1,4,3,2,6,7,8,5] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [5,1,1,1] => 5

[1,3,4,2,8,7,6,5] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[1,3,4,2,7,6,8,5] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[2,1,4,3,8,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[2,1,4,3,7,8,6,5] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[2,1,4,3,6,8,7,5] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[2,1,4,3,7,6,8,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[1,2,4,3,8,7,6,5] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [4,1,1,1,1] => 4

[1,2,4,3,7,6,8,5] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[1,2,4,3,6,7,8,5] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [6,1,1] => 6

[3,2,1,4,8,7,6,5] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[3,2,1,4,7,8,6,5] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[3,2,1,4,7,6,8,5] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[3,2,1,4,6,7,8,5] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[2,3,1,4,8,7,6,5] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[2,3,1,4,7,8,6,5] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[2,3,1,4,7,6,8,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[2,3,1,4,6,7,8,5] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[1,3,2,4,8,7,6,5] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [4,1,1,1,1] => 4

[1,3,2,4,6,8,7,5] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [5,1,1,1] => 5

[2,1,3,4,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1] => 4

[2,1,3,4,7,8,6,5] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,1,1,1] => 5

[2,1,3,4,7,6,8,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[2,1,3,4,6,7,8,5] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,1,1] => 6

[1,2,3,4,8,7,6,5] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [5,1,1,1] => 5

[1,2,3,4,7,8,6,5] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [6,1,1] => 6

[1,2,3,4,6,8,7,5] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [6,1,1] => 6

[1,2,3,4,7,6,8,5] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [6,1,1] => 6

[1,2,3,4,6,7,8,5] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [7,1] => 7

[5,4,3,2,1,8,7,6] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[5,4,3,2,1,7,8,6] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[4,5,3,2,1,8,7,6] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,5,4,2,1,8,7,6] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,5,4,2,1,7,8,6] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[4,3,5,2,1,8,7,6] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,4,5,2,1,8,7,6] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[2,5,4,3,1,8,7,6] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,4,5,3,1,8,7,6] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,4,5,3,1,7,8,6] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[3,2,5,4,1,8,7,6] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,2,5,4,1,7,8,6] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[2,3,5,4,1,8,7,6] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,3,2,5,1,8,7,6] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,3,2,5,1,7,8,6] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[3,4,2,5,1,8,7,6] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,4,2,5,1,7,8,6] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,4,3,5,1,8,7,6] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,4,3,5,1,7,8,6] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[3,2,4,5,1,8,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[2,3,4,5,1,8,7,6] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[2,3,4,5,1,7,8,6] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[1,5,4,3,2,8,7,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,5,4,3,2,7,8,6] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[2,1,5,4,3,8,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[2,1,4,5,3,8,7,6] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[1,2,5,4,3,8,7,6] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[1,2,4,5,3,8,7,6] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[1,3,2,5,4,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[2,1,3,5,4,8,7,6] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[1,2,3,5,4,7,8,6] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [6,1,1] => 6

[4,3,2,1,5,8,7,6] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[4,3,2,1,5,7,8,6] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[2,4,3,1,5,8,7,6] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,2,4,1,5,8,7,6] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,2,4,1,5,7,8,6] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[2,3,4,1,5,8,7,6] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[2,3,4,1,5,7,8,6] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[1,4,3,2,5,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[2,1,4,3,5,8,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[1,2,4,3,5,7,8,6] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [6,1,1] => 6

[3,2,1,4,5,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[2,3,1,4,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[1,3,2,4,5,8,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,1,1,1] => 5

[1,3,2,4,5,7,8,6] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [6,1,1] => 6

[2,1,3,4,5,8,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,1,1,1] => 5

[2,1,3,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => 6

[1,2,3,4,5,8,7,6] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [6,1,1] => 6

[1,2,3,4,5,7,8,6] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [7,1] => 7

[6,5,4,3,2,1,8,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[5,6,4,3,2,1,8,7] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,6,5,3,2,1,8,7] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,4,6,3,2,1,8,7] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,5,6,3,2,1,8,7] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[3,6,5,4,2,1,8,7] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[3,5,6,4,2,1,8,7] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[4,3,6,5,2,1,8,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,4,3,6,2,1,8,7] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,5,3,6,2,1,8,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[4,3,5,6,2,1,8,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[3,4,5,6,2,1,8,7] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[2,6,5,4,3,1,8,7] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[2,4,6,5,3,1,8,7] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[3,2,6,5,4,1,8,7] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[3,2,5,6,4,1,8,7] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[2,3,6,5,4,1,8,7] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[4,3,2,6,5,1,8,7] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,4,3,6,5,1,8,7] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[5,4,3,2,6,1,8,7] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[4,3,5,2,6,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,4,5,3,6,1,8,7] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[3,2,5,4,6,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,3,2,5,6,1,8,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[2,4,3,5,6,1,8,7] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[2,3,4,5,6,1,8,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[1,6,5,4,3,2,8,7] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,5,6,4,3,2,8,7] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[1,3,6,5,4,2,8,7] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[1,3,4,5,6,2,8,7] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => 5

[2,1,6,5,4,3,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[2,1,5,6,4,3,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,4,6,5,3,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,5,4,6,3,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[1,2,4,5,6,3,8,7] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1] => 5

[2,3,1,6,5,4,8,7] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,3,2,6,5,4,8,7] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,3,2,5,6,4,8,7] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[2,1,3,6,5,4,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[2,1,3,5,6,4,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[4,3,2,1,6,5,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[2,4,3,1,6,5,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,4,1,6,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,3,4,1,6,5,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[1,3,4,2,6,5,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[1,2,4,3,6,5,8,7] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[2,3,1,4,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[1,2,3,4,6,5,8,7] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [6,1,1] => 6

[5,4,3,2,1,6,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[4,5,3,2,1,6,8,7] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[3,5,4,2,1,6,8,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[3,4,5,2,1,6,8,7] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[2,5,4,3,1,6,8,7] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[2,4,5,3,1,6,8,7] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[3,2,5,4,1,6,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[2,3,5,4,1,6,8,7] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,4,5,1,6,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[1,4,5,3,2,6,8,7] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,3,5,4,2,6,8,7] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[2,1,4,5,3,6,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[1,2,3,5,4,6,8,7] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [6,1,1] => 6

[4,3,2,1,5,6,8,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[2,3,4,1,5,6,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[2,1,4,3,5,6,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[1,2,4,3,5,6,8,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [6,1,1] => 6

[3,2,1,4,5,6,8,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[2,3,1,4,5,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[1,3,2,4,5,6,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [6,1,1] => 6

[2,1,3,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,1,1] => 6

[1,2,3,4,5,6,8,7] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [7,1] => 7

[5,7,6,4,3,2,1,8] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[4,7,6,5,3,2,1,8] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,4,7,6,3,2,1,8] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[4,3,7,6,5,2,1,8] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[3,4,7,6,5,2,1,8] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,1,1,1] => 3

[3,5,4,7,6,2,1,8] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[3,6,5,4,7,2,1,8] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[3,5,6,4,7,2,1,8] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[4,3,6,5,7,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[2,7,6,5,4,3,1,8] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [2,2,1,1,1,1] => 2

[2,5,7,6,4,3,1,8] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [3,2,1,1,1] => 3

[2,5,6,7,4,3,1,8] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,1,1] => 4

[2,4,6,7,5,3,1,8] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,2,1,1] => 4

[2,5,6,4,7,3,1,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[2,5,4,6,7,3,1,8] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[2,4,5,6,7,3,1,8] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,2,1] => 5

[3,2,7,6,5,4,1,8] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[2,3,6,7,5,4,1,8] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [4,2,1,1] => 4

[2,3,5,7,6,4,1,8] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,2,1,1] => 4

[2,3,5,6,7,4,1,8] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,2,1] => 5

[3,4,2,6,7,5,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[3,2,4,6,7,5,1,8] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[2,3,4,7,6,5,1,8] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,1,1] => 4

[2,3,4,6,7,5,1,8] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [5,2,1] => 5

[5,4,3,2,7,6,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[4,5,3,2,7,6,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,3,5,2,7,6,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,4,2,5,7,6,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[2,3,4,5,7,6,1,8] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,2,1] => 5

[3,5,6,4,2,7,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[3,4,6,5,2,7,1,8] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[3,5,4,6,2,7,1,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[2,5,4,6,3,7,1,8] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,4,5,6,3,7,1,8] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[2,3,5,6,4,7,1,8] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[3,4,2,6,5,7,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[2,4,3,6,5,7,1,8] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,3,4,6,5,7,1,8] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[2,3,5,4,6,7,1,8] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => 5

[2,4,3,5,6,7,1,8] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[1,7,6,5,4,3,2,8] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [3,1,1,1,1,1] => 3

[1,6,7,5,4,3,2,8] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [3,2,1,1,1] => 3

[1,6,5,7,4,3,2,8] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[1,5,6,7,4,3,2,8] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [4,2,1,1] => 4

[1,5,6,4,7,3,2,8] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[1,3,5,7,6,4,2,8] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,2,1,1] => 4

[1,3,5,6,7,4,2,8] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [5,2,1] => 5

[1,3,4,6,7,5,2,8] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [5,2,1] => 5

[1,3,5,4,7,6,2,8] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[1,5,4,6,3,7,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,4,5,6,3,7,2,8] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[1,3,5,6,4,7,2,8] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[1,4,3,6,5,7,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,3,4,6,5,7,2,8] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1] => 5

[1,4,5,3,6,7,2,8] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[1,4,3,5,6,7,2,8] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[1,3,4,5,6,7,2,8] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [6,2] => 6

[2,1,7,6,5,4,3,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[2,1,5,6,7,4,3,8] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[2,1,5,4,6,7,3,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[2,1,4,5,6,7,3,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[1,2,7,6,5,4,3,8] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [4,1,1,1,1] => 4

[1,2,5,7,6,4,3,8] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [4,2,1,1] => 4

[1,2,5,6,7,4,3,8] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [5,2,1] => 5

[1,2,5,6,4,7,3,8] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[1,2,4,5,6,7,3,8] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [6,2] => 6

[3,2,1,7,6,5,4,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[2,3,1,6,7,5,4,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,3,1,6,5,7,4,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,3,1,5,6,7,4,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[1,3,2,7,6,5,4,8] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[1,3,2,5,7,6,4,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,3,2,6,5,7,4,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,3,2,5,6,7,4,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[2,1,3,6,7,5,4,8] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[1,2,3,7,6,5,4,8] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [5,1,1,1] => 5

[1,2,3,6,5,7,4,8] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1] => 5

[1,2,3,5,6,7,4,8] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [6,2] => 6

[4,3,2,1,7,6,5,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[4,3,2,1,6,7,5,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[3,2,4,1,7,6,5,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,4,1,6,7,5,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,3,4,1,7,6,5,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,3,4,1,6,7,5,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[1,4,3,2,7,6,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,4,3,2,6,7,5,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[3,2,1,4,7,6,5,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[2,3,1,4,6,7,5,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[1,2,3,4,7,6,5,8] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [6,1,1] => 6

[1,2,3,4,6,7,5,8] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [6,2] => 6

[5,4,3,2,1,7,6,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[3,4,5,2,1,7,6,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[2,4,5,3,1,7,6,8] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[3,2,5,4,1,7,6,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,4,2,5,1,7,6,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,4,3,5,1,7,6,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,3,4,5,1,7,6,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[1,5,4,3,2,7,6,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,4,3,5,2,7,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[3,2,1,5,4,7,6,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[2,3,1,5,4,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,3,2,5,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,2,3,5,4,7,6,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1] => 6

[4,3,2,1,5,7,6,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[3,2,4,1,5,7,6,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[2,3,4,1,5,7,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[1,3,4,2,5,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,2,4,3,5,7,6,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[2,3,1,4,5,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[1,3,2,4,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[2,1,3,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,2,3,4,5,7,6,8] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [7,1] => 7

[3,6,5,4,2,1,7,8] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[4,3,6,5,2,1,7,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,4,6,5,3,1,7,8] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[2,4,5,6,3,1,7,8] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[2,3,6,5,4,1,7,8] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[2,3,5,6,4,1,7,8] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[4,3,2,6,5,1,7,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[2,4,3,6,5,1,7,8] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[2,3,4,6,5,1,7,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[1,6,5,4,3,2,7,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[1,4,6,5,3,2,7,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[1,5,4,6,3,2,7,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,4,5,6,3,2,7,8] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[1,4,3,6,5,2,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,5,4,3,6,2,7,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[1,4,3,5,6,2,7,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[1,3,4,5,6,2,7,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[2,1,5,6,4,3,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[2,1,4,6,5,3,7,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[1,2,6,5,4,3,7,8] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [5,1,1,1] => 5

[1,2,4,5,6,3,7,8] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3] => 5

[3,2,1,6,5,4,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,2,1,5,6,4,7,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,3,1,6,5,4,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,3,1,5,6,4,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[1,3,2,5,6,4,7,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,2,3,6,5,4,7,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [6,1,1] => 6

[4,3,2,1,6,5,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[3,2,4,1,6,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,3,4,1,6,5,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,1,4,3,6,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[1,2,4,3,6,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,3,2,4,6,5,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[2,1,3,4,6,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,2,3,4,6,5,7,8] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [7,1] => 7

[3,5,4,2,1,6,7,8] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[2,5,4,3,1,6,7,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[2,4,5,3,1,6,7,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[3,2,5,4,1,6,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[2,3,5,4,1,6,7,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[2,4,3,5,1,6,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[1,5,4,3,2,6,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,4,5,3,2,6,7,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[1,4,3,5,2,6,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,3,4,5,2,6,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[2,1,5,4,3,6,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[2,1,4,5,3,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[1,2,5,4,3,6,7,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1] => 6

[1,2,4,5,3,6,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[2,3,1,5,4,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[1,3,2,5,4,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[2,1,3,5,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,2,3,5,4,6,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [7,1] => 7

[2,4,3,1,5,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[1,4,3,2,5,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[1,3,4,2,5,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[2,1,4,3,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[1,2,4,3,5,6,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [7,1] => 7

[1,3,2,4,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [7,1] => 7

[1,2,3,4,8,6,7,5] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [6,1,1] => 6

[1,2,3,5,8,6,7,4] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [6,1,1] => 6

[1,2,3,7,5,6,4,8] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1] => 5

[1,2,3,7,5,6,8,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [6,1,1] => 6

[1,2,3,8,5,6,7,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [6,1,1] => 6

[1,2,3,8,5,7,6,4] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [5,1,1,1] => 5

[1,2,3,8,6,5,7,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [5,1,1,1] => 5

[1,2,3,8,6,7,5,4] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [5,1,1,1] => 5

[1,2,4,3,8,6,7,5] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[1,2,4,5,8,6,7,3] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [6,1,1] => 6

[1,2,4,7,5,6,8,3] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [6,1,1] => 6

[1,2,4,8,5,6,7,3] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [6,1,1] => 6

[1,2,6,4,5,7,8,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [6,1,1] => 6

[1,2,7,4,5,6,8,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [6,1,1] => 6

[1,2,8,4,5,6,7,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [6,1,1] => 6

[1,2,8,4,7,6,5,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [4,1,1,1,1] => 4

[1,2,7,5,4,6,8,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [5,1,1,1] => 5

[1,2,8,5,4,6,7,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [5,1,1,1] => 5

[1,2,8,5,6,4,7,3] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [4,2,1,1] => 4

[1,2,8,5,6,7,4,3] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [5,1,1,1] => 5

[1,2,8,6,5,4,7,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [4,1,1,1,1] => 4

[1,2,8,6,5,7,4,3] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [4,1,1,1,1] => 4

[1,2,8,7,5,6,4,3] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [4,1,1,1,1] => 4

[1,3,2,7,5,6,8,4] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[1,3,2,8,5,7,6,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,3,2,8,6,7,5,4] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [4,1,1,1,1] => 4

[1,3,4,2,8,6,7,5] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[1,3,4,5,8,6,7,2] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [6,1,1] => 6

[1,3,4,8,5,6,7,2] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [6,1,1] => 6

[1,3,6,4,5,2,8,7] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[1,3,7,4,5,6,2,8] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[1,3,8,4,6,5,7,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [5,1,1,1] => 5

[1,3,8,5,4,6,7,2] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [5,1,1,1] => 5

[1,3,8,5,4,7,6,2] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [4,1,1,1,1] => 4

[1,3,8,5,6,7,4,2] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [5,1,1,1] => 5

[1,3,8,5,7,6,4,2] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [4,1,1,1,1] => 4

[1,3,8,6,5,7,4,2] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [4,1,1,1,1] => 4

[1,3,8,7,5,6,4,2] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [4,1,1,1,1] => 4

[1,4,3,2,8,6,7,5] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[1,4,3,8,5,7,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[1,4,3,8,6,7,5,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [4,1,1,1,1] => 4

[1,5,3,4,2,6,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,5,3,4,2,8,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,5,3,4,6,2,8,7] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,5,3,4,6,7,2,8] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[1,5,3,4,6,7,8,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [6,1,1] => 6

[1,6,3,4,5,2,7,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[1,7,3,4,5,6,2,8] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[1,7,3,4,5,6,8,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [6,1,1] => 6

[1,8,3,4,5,6,7,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [6,1,1] => 6

[1,8,3,4,6,7,5,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [5,1,1,1] => 5

[1,8,3,4,7,6,5,2] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [4,1,1,1,1] => 4

[1,6,3,5,4,2,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,6,3,5,4,8,7,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[1,7,3,5,4,6,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,8,3,5,4,7,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[1,8,3,5,6,4,7,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[1,7,3,6,5,4,2,8] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[1,8,3,7,5,6,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [4,1,1,1,1] => 4

[1,8,3,7,6,5,4,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [3,1,1,1,1,1] => 3

[1,6,4,3,5,2,7,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[1,8,4,3,5,6,7,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,1,1,1] => 5

[1,7,4,3,6,5,8,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[1,8,4,3,6,5,7,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[1,6,4,5,3,2,7,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,6,4,5,3,8,7,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[1,8,4,5,6,7,3,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [5,1,1,1] => 5

[1,7,4,6,5,3,2,8] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[1,8,4,6,5,7,3,2] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [4,1,1,1,1] => 4

[1,8,4,7,6,5,3,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [3,1,1,1,1,1] => 3

[1,7,5,4,3,6,8,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1] => 4

[1,8,5,4,3,6,7,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1] => 4

[1,8,5,4,3,7,6,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 3

[1,8,5,4,6,3,7,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1] => 3

[1,8,5,4,6,7,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [4,1,1,1,1] => 4

[1,8,5,4,7,6,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [3,1,1,1,1,1] => 3

[1,8,6,4,5,3,7,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1] => 3

[1,8,6,4,5,7,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [4,1,1,1,1] => 4

[1,8,7,4,5,6,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [4,1,1,1,1] => 4

[1,8,7,4,6,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [3,1,1,1,1,1] => 3

[1,8,6,5,4,3,7,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [3,1,1,1,1,1] => 3

[1,8,6,5,4,7,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [3,1,1,1,1,1] => 3

[1,8,7,5,4,6,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [3,1,1,1,1,1] => 3

[1,8,7,5,6,4,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [3,1,1,1,1,1] => 3

[2,1,3,4,8,6,7,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[2,1,3,8,5,6,7,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[2,1,3,8,5,7,6,4] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[2,1,4,3,8,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,1,4,8,5,7,6,3] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[2,1,4,8,6,7,5,3] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[2,1,5,4,8,6,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,1,6,4,5,3,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,7,4,6,5,8,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,1,8,4,6,5,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,1,8,4,6,7,5,3] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[2,1,8,4,7,6,5,3] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[2,1,8,5,4,6,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[2,1,8,5,4,7,6,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[2,1,7,5,6,4,8,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[2,1,8,5,6,4,7,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[2,1,8,5,7,6,4,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,8,6,5,4,7,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[2,1,8,6,5,7,4,3] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,8,7,5,6,4,3] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[2,3,1,7,5,6,4,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,3,1,8,5,6,7,4] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[2,3,4,1,8,6,7,5] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,3,4,5,8,6,7,1] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [6,1,1] => 6

[2,3,4,7,5,6,1,8] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[2,3,4,7,5,6,8,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [6,1,1] => 6

[2,3,4,8,5,6,7,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [6,1,1] => 6

[2,3,4,8,5,7,6,1] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [5,1,1,1] => 5

[2,3,4,8,6,5,7,1] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [5,1,1,1] => 5

[2,3,4,8,6,7,5,1] => [[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [5,1,1,1] => 5

[2,3,5,4,8,6,7,1] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [5,1,1,1] => 5

[2,3,6,4,5,1,7,8] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[2,3,6,4,5,1,8,7] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[2,3,7,4,6,5,8,1] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [5,1,1,1] => 5

[2,3,7,5,4,6,1,8] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[2,3,7,5,4,6,8,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [5,1,1,1] => 5

[2,3,8,5,4,6,7,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [5,1,1,1] => 5

[2,3,7,5,6,4,8,1] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,2,1,1] => 4

[2,3,8,5,6,4,7,1] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,2,1,1] => 4

[2,3,8,5,6,7,4,1] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [5,1,1,1] => 5

[2,3,8,5,7,6,4,1] => [[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [4,1,1,1,1] => 4

[2,4,3,5,8,6,7,1] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [5,1,1,1] => 5

[2,4,3,8,5,7,6,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[2,5,3,4,1,6,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,5,3,4,1,8,7,6] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,5,3,4,6,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [6,1,1] => 6

[2,5,3,4,6,8,7,1] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [5,1,1,1] => 5

[2,5,3,4,7,6,8,1] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [5,1,1,1] => 5

[2,5,3,4,8,6,7,1] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [5,1,1,1] => 5

[2,6,3,4,5,1,7,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,6,3,4,5,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [6,1,1] => 6

[2,6,3,4,5,8,7,1] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [5,1,1,1] => 5

[2,7,3,4,5,6,1,8] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[2,8,3,4,5,6,7,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [6,1,1] => 6

[2,8,3,4,5,7,6,1] => [[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [5,1,1,1] => 5

[2,6,3,5,4,1,8,7] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[2,6,3,5,4,8,7,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[2,8,3,5,4,7,6,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[2,7,3,5,6,4,8,1] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [4,2,1,1] => 4

[2,8,3,5,7,6,4,1] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [4,1,1,1,1] => 4

[2,8,3,7,6,5,4,1] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [3,1,1,1,1,1] => 3

[2,5,4,3,8,6,7,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[2,6,4,3,5,8,7,1] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [4,1,1,1,1] => 4

[2,7,4,3,5,6,8,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [5,1,1,1] => 5

[2,8,4,3,5,6,7,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [5,1,1,1] => 5

[2,8,4,3,5,7,6,1] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [4,1,1,1,1] => 4

[2,7,4,3,6,5,8,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[2,8,4,3,6,5,7,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[2,8,4,3,6,7,5,1] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [4,1,1,1,1] => 4

[2,8,4,3,7,6,5,1] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [3,1,1,1,1,1] => 3

[2,6,4,5,3,1,7,8] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[2,7,4,5,6,3,1,8] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[2,7,4,6,5,3,1,8] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[2,7,5,4,3,6,8,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [4,1,1,1,1] => 4

[2,8,5,4,3,6,7,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [4,1,1,1,1] => 4

[2,8,5,4,3,7,6,1] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [3,1,1,1,1,1] => 3

[2,8,5,4,7,6,3,1] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [3,1,1,1,1,1] => 3

[2,8,7,4,6,5,3,1] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [3,1,1,1,1,1] => 3

[2,8,7,5,4,6,3,1] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [3,1,1,1,1,1] => 3

[2,8,7,5,6,4,3,1] => [[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [3,1,1,1,1,1] => 3

[3,2,1,4,8,6,7,5] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[3,2,1,5,8,6,7,4] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[3,2,1,7,5,6,8,4] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[3,2,1,8,5,6,7,4] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[3,2,4,1,8,6,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,2,4,7,5,6,8,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[3,2,4,8,5,6,7,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[3,2,4,8,6,7,5,1] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,1,1,1,1] => 4

[3,2,5,4,8,6,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[3,2,6,4,5,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,7,4,5,6,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,2,8,4,5,6,7,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[3,2,7,4,6,5,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[3,2,8,4,6,5,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[3,2,8,5,4,7,6,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[3,2,7,5,6,4,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[3,2,8,5,6,4,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[3,2,8,5,7,6,4,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[3,2,8,6,5,7,4,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[3,2,8,7,5,6,4,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[4,2,3,1,5,7,6,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,2,3,1,5,7,8,6] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[4,2,3,1,5,8,7,6] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,2,3,1,6,5,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,2,3,1,6,5,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,3,1,6,7,8,5] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[4,2,3,1,6,8,7,5] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,2,3,1,7,6,5,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,2,3,1,7,6,8,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,2,3,1,8,6,7,5] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,2,3,1,8,7,6,5] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[4,2,3,5,1,8,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,3,5,6,1,8,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[4,2,3,5,6,8,7,1] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [5,1,1,1] => 5

[4,2,3,5,8,7,6,1] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [4,1,1,1,1] => 4

[4,2,3,6,5,8,7,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1] => 4

[4,2,3,7,5,6,8,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[4,2,3,8,5,6,7,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[4,2,3,8,5,7,6,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1] => 4

[5,2,3,4,1,7,8,6] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[5,2,3,4,1,8,7,6] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[5,2,3,4,6,1,8,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[5,2,3,4,7,6,1,8] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[6,2,3,4,5,1,8,7] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[6,2,3,4,5,8,7,1] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [5,1,1,1] => 5

[8,2,3,4,5,7,6,1] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [5,1,1,1] => 5

[7,2,3,4,6,5,1,8] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[8,2,3,4,7,6,5,1] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [4,1,1,1,1] => 4

[6,2,3,5,4,1,7,8] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[6,2,3,5,4,1,8,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,3,5,4,7,8,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[8,2,3,5,4,6,7,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[8,2,3,5,4,7,6,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1] => 4

[7,2,3,5,6,4,1,8] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[8,2,3,5,7,6,4,1] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [4,1,1,1,1] => 4

[8,2,3,7,5,6,4,1] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,1,1,1,1] => 4

[5,2,4,3,1,6,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,2,4,3,1,6,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,2,4,3,1,7,6,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,2,4,3,1,8,7,6] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,2,4,3,6,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,4,3,6,7,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,2,4,3,7,6,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[5,2,4,3,8,7,6,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[6,2,4,3,5,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,2,4,3,6,5,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,2,4,3,6,5,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,2,4,3,6,7,5,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 4

[8,2,4,3,7,6,5,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[6,2,4,5,3,1,7,8] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[8,2,4,7,6,5,3,1] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [3,1,1,1,1,1] => 3

[6,2,5,4,3,1,8,7] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[8,2,5,4,3,7,6,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[7,2,5,4,6,3,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[8,2,5,4,7,6,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[7,2,6,4,5,3,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[8,2,6,4,5,3,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[8,2,6,4,5,7,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[8,2,7,4,5,6,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[8,2,7,4,6,5,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[7,2,6,5,4,3,1,8] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[7,2,6,5,4,3,8,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 3

[8,2,6,5,4,3,7,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 3

[8,2,6,5,4,7,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[8,2,7,5,4,6,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[8,2,7,5,6,4,3,1] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [3,1,1,1,1,1] => 3

[8,2,7,6,5,4,3,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,1,1,1,1,1,1] => 2

[4,3,2,1,8,6,7,5] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[4,3,2,8,5,7,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[5,3,2,4,1,6,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[5,3,2,4,1,7,6,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,2,4,1,8,7,6] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,3,2,4,6,5,7,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[8,3,2,4,7,6,5,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 3

[6,3,2,5,4,1,7,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,3,2,5,4,1,8,7] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,2,5,4,8,7,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[8,3,2,5,4,7,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[8,3,2,5,7,6,4,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[8,3,2,7,6,5,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[5,3,4,2,1,7,8,6] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,3,4,2,1,8,7,6] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,4,2,6,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,3,4,2,7,6,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,3,4,2,7,6,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,3,4,2,8,6,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,3,4,2,5,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,3,4,2,6,5,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,3,4,2,6,5,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,3,4,2,6,5,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,3,4,5,2,1,8,7] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[6,3,4,5,2,8,7,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[8,3,4,5,2,7,6,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[8,3,4,5,7,6,2,1] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,1,1,1,1] => 4

[8,3,4,7,6,5,2,1] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [3,1,1,1,1,1] => 3

[6,3,5,4,2,1,8,7] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,5,4,2,7,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[6,3,5,4,2,8,7,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,3,5,4,2,6,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,3,5,4,2,7,6,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,3,5,4,6,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,3,5,4,6,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,3,5,4,7,6,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[7,3,6,4,5,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,3,6,4,5,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,3,6,4,5,2,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,3,7,4,6,5,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[7,3,6,5,4,2,1,8] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[7,3,6,5,4,2,8,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[8,3,7,5,6,4,2,1] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [3,1,1,1,1,1] => 3

[8,3,7,6,5,4,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,1,1,1,1,1,1] => 2

[5,4,3,2,8,6,7,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[6,4,3,2,5,1,8,7] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,3,2,5,8,7,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1] => 3

[8,4,3,2,5,7,6,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1] => 3

[7,4,3,2,6,5,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[7,4,3,2,6,5,8,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[8,4,3,2,6,5,7,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[8,4,3,2,7,6,5,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[6,4,3,5,2,1,8,7] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,3,5,2,7,6,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[8,4,3,5,7,6,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1] => 3

[7,4,3,6,5,2,8,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[8,4,3,7,5,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[8,4,3,7,6,5,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,1,1,1,1,1,1] => 2

[6,5,3,4,2,1,8,7] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,3,4,2,7,6,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[8,5,3,4,7,6,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1] => 3

[8,7,3,4,6,5,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1] => 3

[7,6,3,5,4,2,8,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,3,5,4,2,7,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,3,5,4,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[8,7,3,5,4,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[8,7,3,6,5,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,1,1,1,1,1,1] => 2

[8,5,4,3,2,7,6,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 2

[8,5,4,3,7,6,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 2

[8,7,4,3,6,5,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 2

[2,4,1,3,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,1,4,6,3,5,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[2,4,1,6,3,5,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,4,6,1,3,5,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[2,4,1,3,6,8,5,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[2,1,4,6,3,8,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[2,4,1,6,3,8,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,4,6,1,3,8,5,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,1,4,6,8,3,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,4,1,6,8,3,5,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,4,6,1,8,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,4,6,8,1,3,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,4,1,3,6,5,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,1,4,6,3,5,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[2,4,1,6,3,5,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,4,6,1,3,5,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,1,4,6,3,7,5,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[2,4,1,6,3,7,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,4,6,1,3,7,5,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,4,6,7,1,3,5,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,4,1,3,6,7,8,5] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[2,4,1,6,7,3,8,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,4,6,1,7,3,8,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,4,6,7,1,3,8,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,1,4,6,7,8,3,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[2,4,1,6,7,8,3,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,4,6,7,8,1,3,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,1,4,3,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,4,1,3,7,5,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,1,4,7,3,5,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[2,4,1,7,3,5,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,4,1,3,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[2,4,1,7,3,8,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,1,4,7,8,3,5,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,4,1,7,8,3,5,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,4,7,1,8,3,5,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,4,7,8,1,3,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,4,1,5,3,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,4,5,1,3,7,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,4,5,1,7,3,6,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,4,1,3,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[2,4,5,1,3,7,8,6] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[2,4,1,5,7,3,8,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,4,5,1,7,3,8,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,4,5,1,7,8,3,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,4,5,7,8,1,3,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,1,4,3,8,5,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[2,4,1,3,8,5,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,1,4,8,3,5,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[2,4,1,8,3,5,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,4,8,1,3,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,1,4,3,5,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[2,4,1,5,3,8,6,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,1,4,5,8,3,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,4,1,5,8,3,6,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,4,5,1,8,3,6,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,4,1,5,3,6,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,4,1,5,6,3,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,4,5,1,6,3,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,4,5,6,1,3,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,1,4,5,6,8,3,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[2,4,1,5,6,8,3,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,4,5,1,6,8,3,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,4,5,6,1,8,3,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,4,5,6,8,1,3,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,4,1,3,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[2,4,1,5,3,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,4,5,1,3,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,4,1,5,6,3,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,4,5,1,6,3,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,4,5,6,1,3,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,4,1,5,6,7,3,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,4,5,6,1,7,3,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,4,5,6,7,1,3,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,4,1,5,6,7,8,3] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[2,4,5,1,6,7,8,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[2,4,5,6,1,7,8,3] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[2,4,5,6,7,1,8,3] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[2,4,5,6,7,8,1,3] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,2] => 6

[2,1,5,3,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,5,1,3,6,4,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,1,5,6,3,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[2,5,1,6,3,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,5,6,1,3,4,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[2,5,1,3,6,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[2,5,6,1,3,8,4,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,1,5,6,8,3,4,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,5,1,6,8,3,4,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,5,6,8,1,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,5,1,3,6,4,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,1,5,6,3,7,4,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[2,5,1,6,3,7,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,5,6,1,3,7,4,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,1,5,6,7,3,4,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,5,1,6,7,3,4,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,5,1,3,6,7,8,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[2,5,6,1,3,7,8,4] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[2,5,1,6,7,3,8,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,5,6,7,1,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,1,5,6,7,8,3,4] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[2,5,1,6,7,8,3,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,5,6,1,7,8,3,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,5,6,7,1,8,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,5,6,7,8,1,3,4] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,1,5,3,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,5,1,3,7,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,1,5,7,3,4,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[2,5,1,7,3,4,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,5,7,1,3,4,8,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[2,5,1,3,7,8,4,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[2,1,5,7,3,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[2,1,5,7,8,3,4,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,5,1,7,8,3,4,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,5,7,1,8,3,4,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,5,7,8,1,3,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,1,5,7,3,4,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[2,3,5,1,4,7,6,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,3,5,7,1,4,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,3,5,1,7,4,8,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,3,1,5,7,8,4,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,3,5,7,8,1,4,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,1,5,3,8,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[2,5,1,3,8,4,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,1,5,8,3,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[2,5,1,8,3,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,3,5,1,4,8,6,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,3,5,1,8,4,6,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,3,5,8,1,4,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,1,5,3,4,6,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[2,3,5,1,6,4,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,3,1,5,6,8,4,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,3,5,1,6,8,4,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,3,5,6,1,8,4,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,5,6,8,1,4,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,1,5,3,4,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[2,5,1,3,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[2,3,5,1,4,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,3,5,6,1,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,3,5,6,1,7,4,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,5,6,7,1,4,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,3,5,1,6,7,8,4] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[2,3,5,6,1,7,8,4] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[2,3,5,6,7,8,1,4] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,2] => 6

[2,1,6,3,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,6,1,3,7,4,8,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,1,6,7,3,4,8,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[2,6,1,7,3,4,8,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,6,7,1,3,4,8,5] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[2,6,1,3,7,8,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[2,6,1,7,3,8,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,1,6,7,8,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,6,1,7,8,3,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,6,7,1,8,3,4,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,6,7,8,1,3,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,6,1,7,3,4,5,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,6,1,3,4,7,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[2,3,1,6,4,7,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,6,1,3,4,7,8,5] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[2,3,6,1,4,7,8,5] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[2,1,3,6,7,4,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[2,3,1,6,7,8,4,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,3,6,1,7,8,4,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,3,6,7,1,8,4,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,6,7,8,1,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,1,6,3,8,4,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[2,6,1,3,8,4,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,1,6,8,3,4,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[2,6,1,8,3,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,6,8,1,3,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,1,6,3,4,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[2,6,1,3,4,8,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[2,1,3,6,4,8,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[2,3,1,6,4,8,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,3,6,1,4,8,5,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,3,1,6,8,4,5,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,3,6,1,8,4,5,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,1,6,3,4,5,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[2,6,1,3,4,5,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[2,1,3,6,4,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[2,3,6,1,4,5,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[2,3,4,1,6,8,5,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,3,4,6,1,8,5,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,4,6,8,1,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,6,1,3,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[2,1,3,6,4,5,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[2,3,1,6,4,5,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,3,6,1,4,5,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,3,4,6,1,5,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,3,4,6,1,7,5,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,4,6,7,1,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,3,4,6,1,7,8,5] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[2,3,4,6,7,8,1,5] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,2] => 6

[2,1,7,3,8,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[2,7,1,3,8,4,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,1,7,8,3,4,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[2,7,1,8,3,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,7,8,1,3,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,1,7,3,4,8,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[2,1,3,7,4,8,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[2,3,1,7,4,8,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,3,1,7,8,4,5,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,3,7,8,1,4,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,1,7,3,4,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[2,7,1,3,4,5,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[2,3,1,7,4,5,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,3,7,1,4,5,8,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[2,3,4,1,7,5,8,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,3,4,7,1,5,8,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,1,3,4,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[2,3,1,4,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[2,3,4,1,7,8,5,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,3,4,7,1,8,5,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,4,7,8,1,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,1,7,3,4,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[2,7,1,3,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[2,3,7,1,4,5,6,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,1,3,4,7,5,6,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[2,3,1,4,7,5,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,3,4,1,7,5,6,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,3,4,7,1,5,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,3,4,5,7,1,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,3,4,5,7,1,8,6] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[2,3,4,5,7,8,1,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,2] => 6

[2,1,8,3,4,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[2,8,1,3,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[2,1,3,8,4,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[2,3,1,8,4,5,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,3,8,1,4,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[2,1,3,4,8,5,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[2,3,1,4,8,5,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,3,4,1,8,5,6,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,3,4,8,1,5,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[2,1,3,4,5,8,6,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[2,3,1,4,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[2,3,4,1,5,8,6,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,3,4,5,1,8,6,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,4,5,8,1,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[2,3,4,5,6,8,1,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,2] => 6

[3,1,4,2,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,4,1,2,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,1,4,6,2,5,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[3,4,1,6,2,5,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[3,4,6,1,2,5,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[3,4,1,2,6,8,5,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,1,4,6,2,8,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,4,1,6,2,8,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,1,4,6,8,2,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[3,4,1,6,8,2,5,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,4,6,8,1,2,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,4,1,2,6,5,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[3,4,1,2,6,7,5,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,4,1,6,2,7,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,4,6,1,2,7,5,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,4,1,6,7,2,5,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,4,6,7,1,2,5,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,4,1,2,6,7,8,5] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[3,4,6,1,2,7,8,5] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[3,4,1,6,7,2,8,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,4,6,1,7,2,8,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,4,6,7,1,2,8,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[3,1,4,6,7,8,2,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[3,4,1,6,7,8,2,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,4,6,1,7,8,2,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,4,6,7,1,8,2,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[3,4,6,7,8,1,2,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[3,1,4,2,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,4,1,2,7,5,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,1,4,7,2,5,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[3,4,7,1,2,5,8,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[3,4,1,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,4,7,1,8,2,5,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,4,7,8,1,2,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,1,4,2,7,5,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,4,1,2,7,5,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[3,4,1,2,5,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[3,1,4,5,2,7,6,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,4,1,5,2,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,4,1,5,7,2,6,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,4,5,7,1,2,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,4,1,2,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[3,4,5,1,2,7,8,6] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[3,4,1,5,7,2,8,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,4,5,7,1,2,8,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[3,1,4,5,7,8,2,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[3,4,1,5,7,8,2,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,4,5,1,7,8,2,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,4,5,7,8,1,2,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[3,1,4,2,8,5,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,4,1,2,8,5,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[3,1,4,8,2,5,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,4,1,8,2,5,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,4,8,1,2,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[3,1,4,2,5,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[3,4,1,2,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[3,4,1,5,2,8,6,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,4,5,1,2,8,6,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,1,4,5,8,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[3,4,1,5,8,2,6,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,4,5,8,1,2,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,4,1,2,5,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[3,4,5,1,2,6,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[3,4,1,5,6,2,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,4,5,1,6,2,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,4,5,6,1,2,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[3,1,4,5,6,8,2,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[3,4,1,5,6,8,2,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,4,5,6,1,8,2,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[3,4,5,6,8,1,2,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[3,1,4,2,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[3,1,4,5,2,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,4,1,5,2,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,4,1,5,6,2,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,4,5,1,6,2,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,1,4,5,6,7,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[3,4,1,5,6,7,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,4,5,1,6,7,2,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,4,5,6,1,7,2,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[3,1,4,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,1,1] => 6

[3,4,1,5,6,7,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[3,4,5,1,6,7,8,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[3,4,5,6,1,7,8,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[3,4,5,6,7,1,8,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[3,1,5,2,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,5,1,2,6,4,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,1,5,6,2,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[3,5,1,6,2,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[3,5,6,1,2,4,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[3,5,1,2,6,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,1,5,6,2,8,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,5,6,1,2,8,4,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,1,5,6,8,2,4,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[3,5,1,6,8,2,4,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,5,6,1,8,2,4,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,5,6,8,1,2,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,1,5,6,2,4,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,5,1,6,2,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,5,6,1,2,4,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[3,5,1,2,6,7,4,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,5,1,6,2,7,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,5,6,1,2,7,4,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,5,1,6,7,2,4,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,5,6,1,7,2,4,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,5,6,7,1,2,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,5,1,2,6,7,8,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[3,5,6,1,2,7,8,4] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[3,5,1,6,7,2,8,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,5,6,1,7,2,8,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,5,6,7,1,2,8,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[3,1,5,6,7,8,2,4] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[3,5,1,6,7,8,2,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,5,6,1,7,8,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,5,6,7,1,8,2,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[3,5,6,7,8,1,2,4] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,3] => 5

[3,1,5,2,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,5,1,2,7,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,1,5,7,2,4,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[3,5,7,1,2,4,8,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[3,5,1,2,7,8,4,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,1,5,7,2,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,5,1,7,2,8,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,1,5,7,8,2,4,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[3,5,1,7,8,2,4,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,5,7,8,1,2,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,1,5,2,7,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,5,1,2,7,4,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[3,1,5,7,2,4,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,5,1,7,2,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,5,7,1,2,4,6,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[3,1,5,2,4,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[3,5,1,2,4,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[3,1,2,5,4,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,3,5,2,4,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,3,2,5,7,4,6,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,3,5,7,2,4,6,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[3,5,1,2,4,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[3,1,2,5,7,4,8,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,3,5,2,7,4,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,3,5,7,2,4,8,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,3,2,5,7,8,4,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[1,3,5,7,8,2,4,6] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,1,5,2,8,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,5,1,2,8,4,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[3,1,5,8,2,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,5,1,8,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,1,5,2,4,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[3,5,1,2,4,8,6,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[1,3,2,5,4,8,6,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,3,5,2,4,8,6,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,3,2,5,8,4,6,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,3,5,8,2,4,6,7] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[3,5,1,2,4,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[3,1,2,5,4,6,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[1,3,5,2,6,4,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,3,5,6,2,4,8,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,3,5,6,8,2,4,7] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,5,1,2,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[1,3,5,2,4,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[1,3,5,6,2,4,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[1,3,5,6,7,2,4,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,1,2,5,6,7,8,4] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,1,1] => 6

[1,3,5,6,7,2,8,4] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => 5

[1,3,5,6,7,8,2,4] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [6,2] => 6

[3,1,6,2,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,6,1,2,7,4,8,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,6,1,7,2,4,8,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[3,6,7,1,2,4,8,5] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[3,6,1,2,7,8,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,1,6,7,2,8,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,6,1,7,2,8,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,6,7,1,2,8,4,5] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,6,1,7,8,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,6,7,8,1,2,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[3,1,6,7,2,4,5,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,1,6,2,4,7,5,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[3,6,1,2,4,7,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[3,1,2,6,4,7,5,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,3,2,6,4,7,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,3,2,6,7,4,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[3,6,1,2,4,7,8,5] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[3,1,2,6,7,4,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,3,2,6,7,4,8,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,3,6,2,7,4,8,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,3,6,7,2,4,8,5] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,3,2,6,7,8,4,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[1,3,6,7,8,2,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,6,1,2,8,4,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[3,1,6,8,2,4,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,6,1,8,2,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,6,8,1,2,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[3,1,6,2,4,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[3,6,1,2,4,8,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[1,3,2,6,4,8,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,3,6,2,4,8,5,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,3,2,6,8,4,5,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[3,1,6,2,4,5,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[3,6,1,2,4,5,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[3,1,2,6,4,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[1,3,4,6,2,5,8,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,3,4,6,8,2,5,7] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,6,1,2,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[1,3,2,6,4,5,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,3,6,2,4,5,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[1,3,4,6,2,5,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[3,1,2,4,6,7,5,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[1,3,4,6,7,2,5,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,1,2,4,6,7,8,5] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,1,1] => 6

[1,3,4,6,7,2,8,5] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => 5

[3,1,7,2,8,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,7,1,2,8,4,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[3,1,7,8,2,4,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,7,1,8,2,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,7,8,1,2,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[3,7,1,2,4,8,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[3,1,2,7,4,8,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,3,2,7,4,8,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,3,7,2,4,8,5,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,3,7,8,2,4,5,6] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[3,1,7,2,4,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[3,7,1,2,4,5,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[1,3,4,2,7,5,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,3,4,7,2,5,8,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[3,1,2,4,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[1,3,4,7,8,2,5,6] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,1,7,2,4,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[3,7,1,2,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[3,1,2,7,4,5,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,3,2,7,4,5,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,3,7,2,4,5,6,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[3,1,2,4,7,5,6,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,3,4,7,2,5,6,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[3,1,2,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,3,4,5,7,2,6,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,1,2,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => 6

[1,3,4,5,7,8,2,6] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [6,2] => 6

[3,1,8,2,4,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[3,8,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[3,1,2,8,4,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,3,2,8,4,5,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,3,8,2,4,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[3,1,2,4,8,5,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,3,2,4,8,5,6,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,3,4,8,2,5,6,7] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[3,1,2,4,5,8,6,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,3,2,4,5,8,6,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,3,4,2,5,8,6,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,3,4,5,8,2,6,7] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[3,1,2,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,1,1] => 6

[1,3,4,5,6,8,2,7] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [6,2] => 6

[4,1,5,2,6,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,5,1,2,6,3,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[4,1,5,6,2,3,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[4,5,1,6,2,3,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[4,5,6,1,2,3,8,7] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[4,5,1,2,6,8,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[4,1,5,6,2,8,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[4,5,6,1,2,8,3,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[4,1,5,6,8,2,3,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[4,5,1,6,8,2,3,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,5,6,1,8,2,3,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[4,5,6,8,1,2,3,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[4,1,5,2,6,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,1,5,6,2,3,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[4,5,1,6,2,3,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,5,1,2,6,7,3,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[4,5,1,6,2,7,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,5,6,1,2,7,3,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[4,5,6,1,7,2,3,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[4,5,1,2,6,7,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[4,5,6,1,2,7,8,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[4,5,1,6,7,2,8,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,5,6,1,7,2,8,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[4,5,6,7,1,2,8,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[4,1,5,6,7,8,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[4,5,1,6,7,8,2,3] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[4,5,6,1,7,8,2,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,5,6,7,1,8,2,3] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[4,1,5,2,7,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,5,1,2,7,3,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[4,5,1,7,2,3,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[4,5,1,2,7,8,3,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[4,1,5,7,2,8,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[4,5,1,7,2,8,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,5,7,1,2,8,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[4,5,1,7,8,2,3,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,5,7,8,1,2,3,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[4,1,5,2,7,3,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,5,1,2,7,3,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[4,1,5,2,3,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[4,5,1,2,3,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[4,1,2,5,3,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,4,2,5,3,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,4,5,2,3,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,4,5,7,2,3,6,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[4,1,2,5,7,3,8,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,4,2,5,7,3,8,6] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,4,5,2,7,3,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,4,5,7,2,3,8,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,4,2,5,7,8,3,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[1,4,5,7,8,2,3,6] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[4,1,5,2,8,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,5,1,2,8,3,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[4,5,1,8,2,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,5,8,1,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[4,1,5,2,3,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[4,5,1,2,3,8,6,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[4,1,2,5,3,8,6,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,4,2,5,3,8,6,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,4,5,2,3,8,6,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,4,2,5,8,3,6,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,4,2,5,3,6,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[4,1,2,5,6,3,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,4,5,2,6,3,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,4,2,5,6,8,3,7] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[1,4,5,6,8,2,3,7] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[4,1,5,2,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[4,1,2,5,3,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,4,2,5,3,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,4,5,2,3,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[1,4,5,6,2,3,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[1,4,2,5,6,7,3,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[1,4,5,6,7,2,3,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[4,1,2,5,6,7,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,1,1] => 6

[1,4,2,5,6,7,8,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [6,1,1] => 6

[1,4,5,6,7,2,8,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => 5

[1,4,5,6,7,8,2,3] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [6,2] => 6

[4,1,6,2,7,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,6,7,2,3,8,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[4,6,7,1,2,3,8,5] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[4,6,1,2,7,8,3,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[4,6,1,7,2,8,3,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,6,7,1,2,8,3,5] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[4,1,6,7,8,2,3,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[4,6,1,7,8,2,3,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,6,7,1,8,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[4,6,7,8,1,2,3,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,4] => 4

[4,1,6,2,7,3,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,1,6,7,2,3,5,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[4,6,1,7,2,3,5,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,6,7,1,2,3,5,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[4,1,6,2,3,7,5,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[4,6,1,2,3,7,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[4,1,2,6,3,7,5,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,4,2,6,3,7,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,4,2,6,7,3,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,4,6,7,2,3,5,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[4,1,2,6,7,3,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,4,6,2,7,3,8,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,4,2,6,7,8,3,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[1,4,6,7,8,2,3,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[4,1,6,2,8,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,6,1,2,8,3,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[4,1,6,8,2,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[4,6,1,8,2,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,6,8,1,2,3,5,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[4,1,6,2,3,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[4,6,1,2,3,8,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[4,1,2,6,3,8,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,4,2,6,3,8,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,4,6,2,3,8,5,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,4,2,6,8,3,5,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,4,6,8,2,3,5,7] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[4,1,6,2,3,5,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[4,6,1,2,3,5,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[4,1,2,6,3,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[1,4,2,6,3,5,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[4,1,2,3,6,8,5,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[1,2,4,6,8,3,5,7] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3] => 5

[4,1,6,2,3,5,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[4,6,1,2,3,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[1,4,2,6,3,5,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,4,6,2,3,5,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[4,1,2,3,6,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,4,2,3,6,5,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,4,6,3,5,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[4,1,2,3,6,7,5,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[4,1,2,3,6,7,8,5] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,1,1] => 6

[4,1,7,2,8,3,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,7,1,2,8,3,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[4,1,7,8,2,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[4,7,1,8,2,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,7,8,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[4,1,7,2,3,8,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[4,7,1,2,3,8,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[1,4,2,7,3,8,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,4,7,2,3,8,5,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,4,2,7,8,3,5,6] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,4,7,8,2,3,5,6] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[4,1,7,2,3,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[4,7,1,2,3,5,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[4,1,2,7,3,5,8,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[1,4,2,7,3,5,8,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,2,4,3,7,5,8,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[4,1,2,3,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[1,2,4,7,8,3,5,6] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3] => 5

[4,1,7,2,3,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[4,7,1,2,3,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[4,1,2,7,3,5,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,4,2,7,3,5,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,4,7,2,3,5,6,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[4,1,2,3,7,5,6,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,4,2,3,7,5,6,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,4,3,7,5,6,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,2,4,7,3,5,6,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[4,1,2,3,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,4,2,3,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,2,4,5,7,3,6,8] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3] => 5

[4,1,2,3,5,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => 6

[1,4,2,3,5,7,8,6] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [6,1,1] => 6

[1,2,4,5,7,3,8,6] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1] => 5

[1,2,4,5,7,8,3,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [6,2] => 6

[4,1,8,2,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[4,8,1,2,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[4,1,2,8,3,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,4,2,8,3,5,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,4,8,2,3,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[4,1,2,3,8,5,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,4,2,3,8,5,6,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,4,3,8,5,6,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,2,4,8,3,5,6,7] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[4,1,2,3,5,8,6,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,4,2,3,5,8,6,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,2,4,3,5,8,6,7] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[1,2,4,5,8,3,6,7] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3] => 5

[4,1,2,3,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,1,1] => 6

[1,4,2,3,5,6,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [6,1,1] => 6

[1,2,4,5,6,8,3,7] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [6,2] => 6

[1,4,2,3,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [7,1] => 7

[5,1,6,2,7,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,6,1,2,7,3,8,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,1,6,7,2,3,8,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[5,6,1,7,2,3,8,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,6,7,1,2,3,8,4] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[5,6,1,2,7,8,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[5,1,6,7,2,8,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,6,7,1,2,8,3,4] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[5,1,6,7,8,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[5,6,1,7,8,2,3,4] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[5,6,7,1,8,2,3,4] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[5,1,6,2,7,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,6,1,7,2,3,4,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[5,1,6,2,3,7,4,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[5,1,2,6,3,7,4,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,5,2,6,3,7,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,5,2,6,7,3,4,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,5,6,7,2,3,4,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[5,6,1,2,3,7,8,4] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[5,1,2,6,7,3,8,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,5,6,7,2,3,8,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,5,2,6,7,8,3,4] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[1,5,6,7,8,2,3,4] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,3] => 5

[5,1,6,2,8,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,6,1,2,8,3,4,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[5,6,1,8,2,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[5,6,8,1,2,3,4,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[5,1,6,2,3,8,4,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[5,6,1,2,3,8,4,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[5,1,2,6,3,8,4,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,5,2,6,3,8,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,5,6,2,3,8,4,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,5,2,6,8,3,4,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,5,6,8,2,3,4,7] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[5,1,6,2,3,4,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[5,6,1,2,3,4,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[5,1,2,6,3,4,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[1,5,2,6,3,4,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,2,5,3,6,4,8,7] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[5,1,2,3,6,8,4,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[1,2,5,6,8,3,4,7] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3] => 5

[5,1,6,2,3,4,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[5,1,2,6,3,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,5,2,6,3,4,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,5,6,2,3,4,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[5,1,2,3,6,4,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,5,2,3,6,4,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,5,3,6,4,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,2,5,6,3,4,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[5,1,2,3,6,7,4,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[5,1,2,3,6,7,8,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,1,1] => 6

[1,2,5,3,6,7,8,4] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [6,1,1] => 6

[1,2,5,6,7,3,8,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1] => 5

[1,2,5,6,7,8,3,4] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [6,2] => 6

[5,1,7,2,8,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,7,1,2,8,3,4,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[5,1,7,8,2,3,4,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[5,7,1,8,2,3,4,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[5,7,8,1,2,3,4,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [5,3] => 5

[5,1,7,2,3,8,4,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[5,7,1,2,3,8,4,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[5,1,2,7,3,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,5,2,7,3,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,5,7,2,3,8,4,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,5,2,7,8,3,4,6] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,5,7,8,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[5,1,7,2,3,4,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[5,7,1,2,3,4,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[5,1,2,7,3,4,8,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[1,5,2,7,3,4,8,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,2,5,3,7,4,8,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[5,1,2,3,7,8,4,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[1,2,5,7,8,3,4,6] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3] => 5

[5,7,1,2,3,4,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[5,1,2,7,3,4,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,5,2,7,3,4,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,5,2,3,7,4,6,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,5,3,7,4,6,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,2,5,7,3,4,6,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[1,5,2,3,4,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,2,5,3,4,7,6,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[5,1,2,3,4,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => 6

[1,5,2,3,4,7,8,6] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [6,1,1] => 6

[1,2,5,3,4,7,8,6] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [6,1,1] => 6

[1,2,3,5,7,8,4,6] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [6,2] => 6

[5,1,8,2,3,4,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[5,8,1,2,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[5,1,2,8,3,4,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,5,2,8,3,4,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,5,8,2,3,4,6,7] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[5,1,2,3,8,4,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,5,2,3,8,4,6,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,5,3,8,4,6,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,2,5,8,3,4,6,7] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[5,1,2,3,4,8,6,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,5,2,3,4,8,6,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,2,5,3,4,8,6,7] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[1,2,3,5,4,8,6,7] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1] => 6

[5,1,2,3,4,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,1,1] => 6

[1,5,2,3,4,6,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [6,1,1] => 6

[1,2,5,3,4,6,8,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [6,1,1] => 6

[1,2,3,5,6,8,4,7] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [6,2] => 6

[1,5,2,3,4,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [7,1] => 7

[1,2,5,3,4,6,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [7,1] => 7

[6,1,7,2,8,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[6,7,1,2,8,3,4,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[6,1,7,8,2,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[6,7,1,8,2,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[6,1,7,2,3,8,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[6,7,1,2,3,8,4,5] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[6,1,2,7,3,8,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,6,2,7,3,8,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,6,7,2,3,8,4,5] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,6,2,7,8,3,4,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,6,7,8,2,3,4,5] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [5,3] => 5

[6,1,7,2,3,4,8,5] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[6,7,1,2,3,4,8,5] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[6,1,2,7,3,4,8,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[1,6,2,7,3,4,8,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,2,6,3,7,4,8,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[6,1,2,3,7,8,4,5] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[1,2,6,7,8,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,3] => 5

[6,1,7,2,3,4,5,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[6,1,2,7,3,4,5,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,6,2,7,3,4,5,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,6,7,2,3,4,5,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[6,1,2,3,7,4,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,6,2,3,7,4,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,6,3,7,4,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,2,6,7,3,4,5,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[6,1,2,3,4,7,5,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,6,2,3,4,7,5,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,2,6,3,4,7,5,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[1,2,3,6,4,7,5,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1] => 6

[6,1,2,3,4,7,8,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => 6

[1,6,2,3,4,7,8,5] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [6,1,1] => 6

[1,2,6,3,4,7,8,5] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [6,1,1] => 6

[1,2,3,6,4,7,8,5] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [6,1,1] => 6

[1,2,3,6,7,8,4,5] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [6,2] => 6

[6,1,8,2,3,4,5,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[6,8,1,2,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [6,2] => 6

[6,1,2,8,3,4,5,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,6,2,8,3,4,5,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,6,8,2,3,4,5,7] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[6,1,2,3,8,4,5,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,6,2,3,8,4,5,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,6,3,8,4,5,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,2,6,8,3,4,5,7] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[6,1,2,3,4,8,5,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,6,2,3,4,8,5,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,2,6,3,4,8,5,7] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[1,2,3,6,4,8,5,7] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1] => 6

[6,1,2,3,4,5,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,1,1] => 6

[1,6,2,3,4,5,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [6,1,1] => 6

[1,2,6,3,4,5,8,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [6,1,1] => 6

[1,2,3,6,4,5,8,7] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [6,1,1] => 6

[1,2,3,4,6,8,5,7] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [6,2] => 6

[1,6,2,3,4,5,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [7,1] => 7

[1,2,6,3,4,5,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [7,1] => 7

[1,2,3,6,4,5,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [7,1] => 7

[7,1,8,2,3,4,5,6] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[7,1,2,8,3,4,5,6] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,7,2,8,3,4,5,6] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,7,8,2,3,4,5,6] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [6,2] => 6

[7,1,2,3,8,4,5,6] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[1,7,2,3,8,4,5,6] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,7,3,8,4,5,6] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,2,7,8,3,4,5,6] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [6,2] => 6

[7,1,2,3,4,8,5,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[1,7,2,3,4,8,5,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,2,7,3,4,8,5,6] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[1,2,3,7,4,8,5,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1] => 6

[7,1,2,3,4,5,8,6] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,1,1] => 6

[1,7,2,3,4,5,8,6] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [6,1,1] => 6

[1,2,7,3,4,5,8,6] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [6,1,1] => 6

[1,2,3,7,4,5,8,6] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [6,1,1] => 6

[1,2,3,4,7,5,8,6] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [6,1,1] => 6

[1,2,3,4,7,8,5,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [6,2] => 6

[1,7,2,3,4,5,6,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [7,1] => 7

[1,2,7,3,4,5,6,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [7,1] => 7

[1,2,3,7,4,5,6,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [7,1] => 7

[1,2,3,4,7,5,6,8] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [7,1] => 7

[1,8,2,3,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [7,1] => 7

[1,2,8,3,4,5,6,7] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [7,1] => 7

[1,2,3,8,4,5,6,7] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [7,1] => 7

[1,2,3,4,8,5,6,7] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [7,1] => 7

[1,2,3,4,5,8,6,7] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [7,1] => 7

[5,3,2,6,1,4,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,4,5,2,3,7,6,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,4,5,2,3,8,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,4,5,2,3,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,6,1,5,4,2,8,7] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,6,5,1,3,2,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,6,4,3,1,2,8,7] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,4,3,2,8,1,6] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,6,4,3,7,2,5,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[7,6,4,3,8,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[6,7,4,3,8,1,2,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,7,5,1,3,8,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,7,1,5,4,8,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,8,1,5,4,7,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[4,8,5,1,3,7,6,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,8,4,3,1,7,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,8,4,3,7,1,5,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,8,4,3,6,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,8,5,7,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[5,8,6,7,1,3,4,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[4,8,6,1,7,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,8,1,6,7,4,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[2,1,8,6,7,4,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[3,7,1,6,8,4,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[5,7,6,8,1,3,2,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[5,4,7,2,1,8,3,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,7,2,8,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,4,6,2,8,3,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,4,6,2,7,3,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,3,2,7,1,8,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,3,2,1,7,8,5,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[3,4,1,2,8,7,6,5] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[5,3,2,8,1,7,6,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,3,2,8,7,1,5,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,2,8,6,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,4,7,2,6,5,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[7,4,8,2,6,5,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,4,8,2,7,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,8,2,1,7,6,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,5,8,1,2,7,6,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[3,5,1,8,2,7,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[2,1,5,8,3,7,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[2,1,6,8,7,3,5,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,6,1,8,7,2,5,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,6,8,1,7,2,5,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[5,6,8,7,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[6,5,8,7,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,8,6,2,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,5,7,6,2,4,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,7,8,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,7,8,1,6,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,7,1,8,6,5,2,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[3,8,1,7,6,5,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[4,8,7,1,6,5,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,8,7,6,1,4,3,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,8,7,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,1,4,3,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[8,7,6,5,4,3,2,1,10,9] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 2

[6,7,8,9,10,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[6,5,4,3,2,1,10,9,8,7] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [2,1,1,1,1,1,1,1,1] => 2

[4,3,2,1,10,9,8,7,6,5] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [2,1,1,1,1,1,1,1,1] => 2

[2,1,10,9,8,7,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,1,1,1,1,1,1,1,1] => 2

[9,10,8,7,6,5,4,3,1,2] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,2,1,1,1,1,1,1] => 2

[10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1] => 1

[3,2,5,1,4,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[4,2,5,1,3,6,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[4,2,6,1,3,5,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[5,3,6,1,2,4,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,2,4,1,3,5,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,3,5,1,2,4,7,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[5,3,7,1,2,4,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[5,4,7,1,2,3,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,2,7,1,3,4,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,3,7,1,2,4,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,4,7,1,2,3,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,3,5,1,2,4,6,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,3,6,1,2,4,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,4,6,1,2,3,5,8] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[3,2,8,1,4,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[4,2,8,1,3,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[5,4,8,1,2,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,2,8,1,3,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,3,8,1,2,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,4,8,1,2,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[6,5,8,1,2,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,2,8,1,3,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,3,8,1,2,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,4,8,1,2,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[7,5,8,1,2,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,2,4,1,3,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,3,5,1,2,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,3,6,1,2,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,3,7,1,2,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,4,7,1,2,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[8,5,7,1,2,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [5,2,1] => 5

[3,2,5,7,1,4,6,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[4,2,5,7,1,3,6,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,2,4,7,1,3,6,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[4,2,6,7,1,3,5,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,2,6,7,1,3,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,3,6,7,1,2,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,2,5,7,1,3,4,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[3,2,5,8,1,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[4,2,5,8,1,3,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[4,3,5,8,1,2,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,2,4,8,1,3,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[3,2,6,8,1,4,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[4,2,6,8,1,3,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,2,6,8,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,2,4,8,1,3,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,3,4,8,1,2,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,2,5,8,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,3,5,8,1,2,4,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,4,5,8,1,2,3,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[3,2,7,8,1,4,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,3,7,8,1,2,4,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[5,4,7,8,1,2,3,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,2,7,8,1,3,4,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,3,7,8,1,2,4,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,4,7,8,1,2,3,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[7,2,4,8,1,3,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[7,3,4,8,1,2,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[7,3,5,8,1,2,4,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[7,4,5,8,1,2,3,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[7,4,6,8,1,2,3,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,3,4,6,1,2,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,3,5,6,1,2,4,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,2,4,7,1,3,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,2,5,7,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,3,5,7,1,2,4,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,2,6,7,1,3,4,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,4,6,7,1,2,3,5] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[3,6,2,5,1,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,6,2,5,1,3,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,6,3,5,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,6,2,4,1,3,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,7,2,5,1,4,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,7,3,5,1,2,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,7,2,6,1,4,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,7,3,6,1,2,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,7,2,6,1,3,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,7,2,5,1,3,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,8,2,5,1,3,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,8,2,4,1,3,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,8,3,4,1,2,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,8,3,6,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,8,4,6,1,2,3,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,8,3,5,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,8,2,7,1,4,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,8,2,7,1,3,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,8,3,7,1,2,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,8,2,7,1,3,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,8,3,7,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,8,4,7,1,2,3,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,8,2,7,1,3,4,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,8,3,7,1,2,4,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,8,5,7,1,2,3,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[7,8,2,4,1,3,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[7,8,2,5,1,3,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[7,8,3,5,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[7,8,4,6,1,2,3,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,3,2,6,1,5,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[5,3,2,6,1,4,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[5,4,2,6,1,3,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,3,2,5,1,4,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,5,2,4,1,3,7,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[4,3,2,7,1,5,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[5,3,2,7,1,4,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,3,2,7,1,4,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,4,2,7,1,3,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,4,3,7,1,2,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,5,2,7,1,3,4,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,5,3,7,1,2,4,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,3,2,5,1,4,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,4,2,5,1,3,6,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,3,2,6,1,4,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,4,2,6,1,3,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,4,3,6,1,2,5,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,5,2,6,1,3,4,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,5,3,6,1,2,4,8] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[4,3,2,8,1,5,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[5,3,2,8,1,4,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,3,2,8,1,4,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,4,2,8,1,3,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,4,3,8,1,2,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,5,2,8,1,3,4,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[6,5,3,8,1,2,4,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,3,2,8,1,4,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,4,2,8,1,3,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,4,3,8,1,2,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,5,3,8,1,2,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,5,4,8,1,2,3,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[7,6,2,8,1,3,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,3,2,5,1,4,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,4,2,5,1,3,6,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,3,2,6,1,4,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,4,2,6,1,3,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,5,3,6,1,2,4,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,6,2,4,1,3,5,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,6,2,5,1,3,4,7] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,3,2,7,1,4,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,4,2,7,1,3,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,4,3,7,1,2,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,5,2,7,1,3,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,5,3,7,1,2,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,6,3,7,1,2,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,7,2,4,1,3,5,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,7,2,5,1,3,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,7,3,5,1,2,4,6] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,7,2,6,1,3,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,7,3,6,1,2,4,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[8,7,4,6,1,2,3,5] => [[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [4,2,1,1] => 4

[4,3,7,2,6,1,5,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,4,7,2,6,1,3,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,3,7,2,5,1,4,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,4,7,2,5,1,3,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,4,7,3,5,1,2,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,3,8,2,6,1,5,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,3,8,2,6,1,4,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,4,8,2,6,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,4,8,3,6,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,3,8,2,5,1,4,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,4,8,2,5,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,4,8,3,5,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,5,8,2,4,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,5,8,3,4,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,3,8,2,7,1,5,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,3,8,2,7,1,4,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,4,8,2,7,1,3,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,4,8,3,7,1,2,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,3,8,2,7,1,4,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,4,8,2,7,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,3,8,2,5,1,4,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,4,8,3,5,1,2,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,5,8,2,4,1,3,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,5,8,2,6,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,5,8,4,6,1,2,3] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,8,2,5,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,8,3,5,1,2,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,6,2,5,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,6,2,4,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,7,3,5,1,2,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,7,2,4,1,3,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,3,7,2,6,1,4,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,7,2,6,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,7,3,6,1,2,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,7,2,6,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,6,7,2,4,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,6,7,2,5,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,6,7,3,5,1,2,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,4,3,2,7,1,6,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,4,3,2,7,1,5,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,5,3,2,7,1,4,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,5,4,2,7,1,3,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,5,3,2,6,1,4,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,5,4,2,6,1,3,8] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[5,4,3,2,8,1,6,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,5,3,2,8,1,4,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[6,5,4,3,8,1,2,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,5,3,2,8,1,4,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,5,4,2,8,1,3,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,6,3,2,8,1,4,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,6,4,3,8,1,2,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[7,6,5,2,8,1,3,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,5,3,2,6,1,4,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,5,4,2,6,1,3,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,6,3,2,5,1,4,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,6,5,2,4,1,3,7] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,5,3,2,7,1,4,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,6,3,2,7,1,4,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,6,4,3,7,1,2,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,3,2,5,1,4,6] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,3,2,6,1,4,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,4,2,6,1,3,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,4,3,6,1,2,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,5,2,6,1,3,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,5,3,6,1,2,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,6,2,4,1,3,5] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,6,2,5,1,3,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[8,7,6,3,5,1,2,4] => [[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [3,2,1,1,1] => 3

[4,8,3,7,2,6,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,3,7,2,6,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,4,7,2,6,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,4,7,3,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,3,7,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,4,7,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,4,7,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,5,7,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,3,6,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,4,6,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,4,6,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,5,6,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,4,3,8,2,7,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,4,3,8,2,7,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,5,3,8,2,7,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,5,4,8,3,7,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,4,3,8,2,6,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,3,8,2,6,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,4,8,2,6,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,3,8,2,5,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,4,8,2,5,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,5,8,2,4,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,4,3,7,2,6,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,5,3,7,2,6,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,5,4,7,2,6,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,5,4,7,3,6,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,6,3,7,2,5,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,6,4,7,2,5,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,6,4,7,3,5,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,6,5,7,2,4,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,3,6,2,5,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,4,6,2,5,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,4,6,3,5,1,2] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,7,5,6,2,4,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,5,4,3,2,8,1,7] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[7,6,5,4,2,8,1,3] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,5,4,3,2,7,1,6] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,7,4,3,2,6,1,5] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,7,5,3,2,6,1,4] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,7,5,4,2,6,1,3] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,7,6,3,2,5,1,4] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,7,6,4,2,5,1,3] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,7,6,5,2,4,1,3] => [[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [2,2,1,1,1,1] => 2

[8,1,2,3,4,7,5,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[8,1,2,3,6,4,5,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[8,1,2,3,7,4,5,6] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[8,1,2,3,6,7,4,5] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[4,1,2,8,3,7,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,1,2,5,3,4,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[7,1,2,5,3,4,8,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[8,1,2,6,3,4,5,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[7,1,2,6,3,4,8,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[6,1,2,5,3,8,4,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,1,2,5,3,7,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,1,2,6,3,7,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[4,1,2,8,6,3,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[4,1,2,8,7,3,5,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[4,1,2,7,6,3,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[8,1,2,7,6,3,4,5] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[7,1,2,5,6,3,8,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[4,1,2,8,6,7,3,5] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[3,1,8,2,4,7,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[3,1,8,2,6,4,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,1,8,2,7,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,1,7,2,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,5,2,8,7,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[8,1,4,2,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[7,1,4,2,3,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[6,1,4,2,3,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[8,1,4,2,3,7,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[8,1,5,2,3,4,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[7,1,5,2,3,4,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[8,1,7,2,3,4,5,6] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[6,1,5,2,3,8,4,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[8,1,5,2,3,7,4,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[6,1,8,2,3,7,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[5,1,4,2,8,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,1,4,2,7,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,4,2,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,1,4,2,7,3,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[7,1,4,2,6,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,5,2,6,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,1,5,2,7,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[7,1,8,2,6,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[7,1,5,2,6,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,4,2,8,7,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[3,1,4,8,2,7,5,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,1,8,5,2,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,1,8,6,2,4,5,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,1,6,5,2,7,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[8,1,4,5,2,3,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[7,1,4,5,2,3,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[8,1,4,6,2,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[7,1,4,8,2,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[7,1,4,6,2,3,8,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[8,1,6,5,2,3,4,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,1,8,5,2,3,4,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,1,8,6,2,3,4,5] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,1,4,5,2,8,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,1,4,5,2,7,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,1,4,6,2,7,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,1,4,8,6,2,5,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,1,4,8,7,2,5,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,1,4,7,6,2,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,8,7,6,2,4,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[3,1,7,5,6,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,4,5,6,2,3,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[8,1,4,5,7,2,3,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[8,1,4,7,6,2,3,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,1,4,5,8,7,2,6] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[3,1,4,8,6,7,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[3,1,8,5,6,7,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,1,4,5,6,7,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[2,8,1,3,4,7,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[2,8,1,3,6,4,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,8,1,3,7,4,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[2,7,1,3,6,4,8,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,5,1,3,8,7,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[2,8,1,3,6,7,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[2,4,1,8,3,7,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,8,1,5,3,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,7,1,5,3,4,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,8,1,6,3,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,7,1,6,3,4,8,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,6,1,5,3,8,4,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,8,1,5,3,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,4,1,8,6,3,5,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,4,1,8,7,3,5,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,4,1,7,6,3,8,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[2,8,1,5,6,3,4,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,8,1,5,7,3,4,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,8,1,7,6,3,4,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,7,1,5,6,3,8,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,4,1,5,8,7,3,6] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[2,4,1,8,6,7,3,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,8,1,5,6,7,3,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[7,3,1,2,4,5,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[5,3,1,2,6,8,4,7] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[5,3,1,2,8,7,4,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[8,3,1,2,6,7,4,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[5,3,1,2,6,7,8,4] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[7,4,1,2,3,5,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[7,6,1,2,3,4,8,5] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[5,8,1,2,3,7,4,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[5,8,1,2,6,3,4,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[5,8,1,2,7,3,4,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[5,7,1,2,6,3,8,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,4,1,2,6,8,3,7] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[5,4,1,2,8,7,3,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[8,4,1,2,6,7,3,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[5,8,1,2,6,7,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[5,4,1,2,6,7,8,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[4,3,1,8,2,5,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[4,3,1,6,2,8,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,3,1,8,2,7,5,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,3,1,5,2,4,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,3,1,6,2,4,5,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,3,1,8,2,4,5,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,3,1,5,2,8,4,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,3,1,5,2,7,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,3,1,6,2,7,4,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,4,1,5,2,3,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,4,1,6,2,3,5,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,4,1,8,2,3,5,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,8,1,5,2,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[8,7,1,5,2,3,4,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,7,1,6,2,3,4,5] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,7,1,5,2,3,8,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[6,4,1,5,2,8,3,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,4,1,5,2,7,3,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,4,1,6,2,7,3,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,8,1,5,2,7,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,3,1,5,8,2,6,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[4,3,1,8,6,2,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,3,1,8,7,2,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,3,1,7,6,2,8,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,3,1,5,6,2,4,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,3,1,5,7,2,4,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,3,1,7,6,2,4,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,4,1,5,6,2,3,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,4,1,5,7,2,3,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,4,1,7,6,2,3,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,8,1,5,6,2,3,4] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,3,1,5,6,8,2,7] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,3,1,5,6,7,2,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,4,1,5,6,7,2,3] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[4,3,1,5,6,7,8,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[2,3,8,1,4,7,5,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,3,8,1,6,4,5,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,3,8,1,7,4,5,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,3,7,1,6,4,8,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,3,5,1,8,7,4,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,3,8,1,6,7,4,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,8,4,1,3,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[2,6,4,1,3,8,5,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[2,8,4,1,3,7,5,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[2,6,4,1,3,7,8,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[2,8,5,1,3,4,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[2,8,7,1,3,4,5,6] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[2,6,5,1,3,8,4,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[2,8,5,1,3,7,4,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[2,6,8,1,3,7,4,5] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,6,5,1,3,7,8,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[2,5,4,1,7,3,8,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,7,4,1,6,3,8,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,7,8,1,6,3,4,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,7,5,1,6,3,8,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,5,4,1,6,8,3,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,8,4,1,6,7,3,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,8,5,1,6,7,3,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,4,1,6,7,8,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[6,3,4,1,2,8,5,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,3,4,1,2,7,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,3,4,1,2,7,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[6,3,5,1,2,8,4,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,3,5,1,2,7,4,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,3,8,1,2,7,4,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,3,5,1,2,7,8,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[7,5,4,1,2,3,8,6] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[6,8,4,1,2,3,5,7] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[6,7,4,1,2,3,8,5] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[6,8,5,1,2,3,4,7] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[6,7,5,1,2,3,8,4] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[6,5,4,1,2,8,3,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,5,4,1,2,7,3,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[6,8,4,1,2,7,3,5] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[6,8,5,1,2,7,3,4] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[6,5,4,1,2,7,8,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[5,3,4,1,8,2,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,3,4,1,7,2,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,4,1,6,2,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,3,4,1,7,2,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,3,4,1,6,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,5,1,6,2,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,3,5,1,7,2,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,3,8,1,6,2,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,3,5,1,6,2,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,5,4,1,6,2,3,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,5,4,1,7,2,3,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,5,4,1,6,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[5,3,4,1,6,8,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,3,4,1,8,7,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,3,4,1,6,7,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,3,5,1,6,7,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,5,4,1,6,7,2,3] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[5,3,4,1,6,7,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[2,3,4,8,1,7,5,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,8,5,1,4,6,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[2,3,7,5,1,4,8,6] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,8,6,1,4,5,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[2,3,7,6,1,4,8,5] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,6,5,1,8,4,7] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,3,8,5,1,7,4,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,3,8,6,1,7,4,5] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,3,6,5,1,7,8,4] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[2,8,4,5,1,3,6,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,7,4,5,1,3,8,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,8,4,6,1,3,5,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,7,4,8,1,3,5,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,7,4,6,1,3,8,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,8,6,5,1,3,4,7] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[2,7,8,5,1,3,4,6] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[2,7,8,6,1,3,4,5] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[2,7,6,5,1,3,8,4] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[2,6,4,5,1,8,3,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,4,5,1,7,3,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,4,6,1,7,3,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,6,5,1,7,3,4] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,6,4,5,1,7,8,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[8,3,6,5,1,2,4,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[7,3,8,5,1,2,4,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[7,3,8,6,1,2,4,5] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[7,3,6,5,1,2,8,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,6,4,5,1,2,8,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,3,4,5,1,8,2,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,3,4,5,1,7,2,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,3,4,6,1,7,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,3,6,5,1,7,2,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,4,5,1,7,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,4,5,1,7,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[2,3,4,8,6,1,5,7] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[2,3,4,8,7,1,5,6] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[2,3,8,5,6,1,4,7] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[2,3,8,5,7,1,4,6] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[2,3,8,7,6,1,4,5] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[2,3,7,5,6,1,8,4] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[2,8,4,5,6,1,3,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,8,4,5,7,1,3,6] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,8,4,7,6,1,3,5] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[2,8,7,5,6,1,3,4] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,7,4,5,6,1,8,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[8,3,4,5,7,1,2,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[8,3,4,7,6,1,2,5] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[7,3,4,5,6,1,8,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[2,3,4,5,8,7,1,6] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,2,1] => 5

[2,3,4,8,6,7,1,5] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[2,3,8,5,6,7,1,4] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => 5

[2,8,4,5,6,7,1,3] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[9,1,2,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,1] => 8

[2,9,1,3,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[9,3,1,2,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[9,4,1,2,3,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[5,9,1,2,3,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[9,6,1,2,3,4,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[9,7,1,2,3,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[8,9,1,2,3,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[2,3,9,1,4,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[2,9,4,1,3,5,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [6,2,1] => 6

[2,9,5,1,3,4,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [6,2,1] => 6

[2,6,9,1,3,4,5,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[2,9,7,1,3,4,5,6,8] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [6,2,1] => 6

[2,9,8,1,3,4,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [6,2,1] => 6

[9,5,4,1,2,3,6,7,8] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 6

[9,7,4,1,2,3,5,6,8] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 6

[9,8,4,1,2,3,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 6

[6,7,9,1,2,3,4,5,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[6,9,8,1,2,3,4,5,7] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [6,2,1] => 6

[2,3,4,9,1,5,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[2,3,7,9,1,4,5,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[2,7,8,9,1,3,4,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[9,8,6,5,1,2,3,4,7] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[2,3,4,5,9,1,6,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[2,3,4,5,6,9,1,7,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[2,3,4,5,6,8,1,9,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[2,3,4,5,6,7,9,1,8] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,2] => 7

[9,3,4,5,6,7,8,1,2] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[2,3,4,5,6,7,8,9,1] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,1] => 8

[3,5,2,6,1,4,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,5,2,7,4,8,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,5,2,7,4,8,6,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[4,5,7,2,3,8,6,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[4,5,6,2,1,3,8,7] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[3,5,1,6,4,2,8,7] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,5,6,1,3,2,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[4,5,6,3,1,2,8,7] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[4,6,7,3,8,2,5,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[4,5,7,3,1,8,2,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,5,7,1,3,8,2,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,5,1,7,4,8,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,1,5,7,4,8,3,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[2,1,5,7,4,8,6,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[3,5,1,7,4,8,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[4,5,7,1,3,8,6,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[4,5,7,3,1,8,6,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[4,6,7,3,8,5,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1] => 3

[5,6,7,8,3,1,4,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[5,6,7,8,1,3,4,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[4,6,7,1,8,3,5,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,6,1,7,8,4,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[2,1,6,7,8,4,3,5] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[3,6,1,7,8,4,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,6,7,1,8,3,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[5,6,7,8,1,3,2,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[4,5,7,2,1,8,3,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,6,7,2,8,3,5,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[3,6,2,7,8,4,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[3,5,2,7,1,8,4,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,4,2,1,7,8,5,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,1,2,7,8,6,5] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[3,5,2,7,1,8,6,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,6,2,7,8,5,1,4] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[4,6,7,2,8,5,3,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[4,5,7,2,1,8,6,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[4,5,7,1,2,8,6,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[3,5,1,7,2,8,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[2,1,5,7,3,8,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[3,6,1,7,8,2,5,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,6,7,1,8,2,5,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[5,6,7,8,1,2,4,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[5,6,7,8,2,1,4,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[5,6,7,8,2,4,1,3] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[5,6,7,8,1,4,2,3] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[4,6,7,1,8,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,6,1,7,8,5,2,4] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,1,6,7,8,5,3,4] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[3,6,1,7,8,5,4,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[4,6,7,1,8,5,3,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[5,6,7,8,1,4,3,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[5,6,7,8,4,1,3,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[6,7,8,9,10,5,4,3,2,1] => [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,1,1,1,1,1] => 5

[6,5,8,7,3,4,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,6,7,4,5,8,1,2] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[2,6,7,4,5,1,8,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[1,5,4,7,6,2,3,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[2,5,4,7,6,1,8,3] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[3,5,4,7,6,8,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[4,5,3,7,8,6,1,2] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[5,4,3,8,7,6,1,2] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[6,4,8,3,7,5,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,3,8,4,5,7,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,3,5,6,8,7,1,2] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[3,2,5,6,1,8,7,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,5,6,8,1,7,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[5,2,4,8,6,1,7,3] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,8,4,5,1,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,8,1,4,5,2,3,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[5,1,4,8,6,2,3,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[4,1,3,2,8,6,5,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[5,1,3,8,2,6,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[7,8,1,3,2,5,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,8,2,3,1,5,6,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,2,8,3,1,5,7,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[5,2,3,8,1,6,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[6,3,8,2,1,7,5,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,8,3,2,1,6,5,4] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,8,4,2,6,1,5,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,2,8,7,1,6,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,5,3,7,1,6,8,4] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[1,5,3,7,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[2,6,7,3,1,5,8,4] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[3,6,7,2,1,8,5,4] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[7,8,5,6,2,1,4,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[6,5,8,7,1,2,3,4] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,4,1,8,7,2,3,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,4,8,1,7,2,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,8,3,1,2,6,4,5] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[5,3,1,8,2,7,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,3,1,2,8,7,5,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[7,8,2,1,3,4,6,5] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[7,3,1,5,2,8,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,4,5,1,2,7,3,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,4,5,1,2,8,3,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[3,6,1,5,2,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,6,4,1,2,3,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[6,5,4,1,2,3,8,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[7,5,4,1,2,8,3,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,6,4,1,7,2,3,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,6,4,1,8,2,3,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[5,7,4,1,2,8,3,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[4,7,5,1,2,8,3,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[3,7,1,5,2,8,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,8,1,5,2,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,8,5,1,2,7,3,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[5,8,4,1,2,7,3,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[8,7,4,1,6,2,3,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[5,8,6,7,1,2,3,4] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[3,8,1,6,7,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,7,1,6,8,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[5,7,6,8,1,2,3,4] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[5,4,7,1,2,8,3,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,4,7,1,8,2,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,4,6,1,8,2,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,4,6,1,7,2,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,3,1,6,7,2,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,3,1,6,8,2,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,3,1,7,8,2,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,3,1,7,2,8,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,3,1,2,7,8,5,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[2,1,4,3,8,7,5,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[3,4,1,2,8,7,5,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[6,3,1,8,7,2,4,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,3,1,8,6,2,4,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,4,7,1,6,2,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,4,8,1,6,2,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,4,8,1,2,7,3,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,5,8,1,2,7,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,5,1,8,2,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,1,5,8,3,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[2,1,6,8,7,3,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,6,1,8,7,2,4,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,6,8,1,7,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[5,6,8,7,1,2,3,4] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[7,5,8,6,1,2,3,4] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,5,7,6,1,2,3,4] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,7,8,6,1,2,3,4] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[4,7,8,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,7,1,8,6,2,4,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,1,7,8,6,3,4,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[2,1,8,7,6,3,4,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[3,8,1,7,6,2,4,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[5,8,7,6,1,2,3,4] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[6,8,7,5,1,2,3,4] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[6,4,7,3,8,5,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,4,7,3,5,8,1,2] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,4,7,2,5,1,8,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,2,7,6,1,3,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,4,2,7,6,1,8,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,8,3,5,7,1,2] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,4,2,6,7,1,8,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[5,3,2,6,1,7,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,2,6,1,7,8,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,3,2,6,1,8,7,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,4,2,6,8,1,7,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[5,4,2,8,6,1,7,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,8,2,5,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,8,4,2,5,1,6,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,8,4,2,5,1,3,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[5,4,2,8,6,1,3,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,3,2,6,1,8,4,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,3,2,1,6,8,5,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[4,3,2,1,8,6,5,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[5,3,2,8,1,6,4,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,8,2,1,5,4,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,8,3,2,1,5,6,4] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,3,8,2,1,5,7,4] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,3,2,8,1,6,7,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,4,2,7,8,1,6,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[5,3,2,7,1,8,6,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,2,7,1,6,8,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,3,2,7,1,6,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,7,2,1,5,4,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,7,2,1,5,8,4] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,3,7,2,1,8,5,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,7,2,8,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,5,7,8,2,1,4,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[6,5,8,7,2,1,3,4] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[6,3,7,2,1,8,4,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,7,2,1,4,5,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,3,2,7,1,4,8,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[5,4,2,8,7,1,3,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,8,4,2,6,1,3,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[6,3,8,2,1,7,4,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,2,8,1,7,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,3,2,1,8,7,5,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[4,3,2,1,7,5,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[4,3,2,1,7,5,6,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,3,2,1,8,5,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[5,3,2,8,1,4,7,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,8,3,2,1,4,6,5] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[6,3,8,2,1,4,5,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[4,3,2,1,8,5,6,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,3,2,1,5,8,6,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,8,5,6,1,2,4,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[7,8,1,4,6,2,5,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,1,8,4,7,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[1,6,8,4,7,2,5,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[7,8,1,3,2,6,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[7,8,3,4,6,5,1,2] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[7,8,1,2,3,6,5,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[6,1,8,2,3,7,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[6,2,8,1,3,7,5,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[6,2,8,4,7,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,6,8,4,7,5,1,2] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[2,6,8,4,7,1,5,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[2,6,8,3,1,7,5,4] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,6,8,1,3,7,5,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[1,2,5,8,3,7,6,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[2,4,1,3,8,7,6,5] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[2,5,3,8,1,7,6,4] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,1,3,8,7,6,5] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[4,1,2,3,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1] => 4

[4,3,1,2,8,7,6,5] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[6,3,8,1,2,7,5,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[5,1,3,8,2,7,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[1,5,3,8,2,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,5,4,8,7,2,6,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[6,4,8,1,7,2,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,5,8,7,1,2,4,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,6,8,7,3,4,1,2] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[4,5,1,8,7,2,6,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,6,8,1,2,7,5,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[4,5,3,8,7,6,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[3,5,2,8,1,7,6,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,1,2,4,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1] => 4

[3,4,5,8,7,6,1,2] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,1,1] => 4

[4,1,3,2,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,3,2,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,3,2,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,3,2,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,3,2,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,4,2,5,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,4,2,5,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,4,2,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,4,2,6,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,6,3,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,6,2,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,6,2,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,2,5,1,4,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,6,1,4,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,7,1,4,3,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,8,1,4,3,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,2,8,1,4,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,2,7,1,4,3,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,2,6,1,4,3,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,2,5,1,4,3,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,1,7,2,5,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,7,2,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,7,3,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,8,3,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,8,2,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,8,2,5,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,2,5,1,4,3,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,2,6,1,4,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,1,4,3,8,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,4,3,7,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,5,3,7,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,5,3,8,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,2,6,1,5,3,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,1,8,2,6,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,8,2,6,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,8,2,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,8,3,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,7,3,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,7,2,6,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,7,2,6,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,2,6,1,5,3,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,2,7,1,5,3,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,2,8,1,5,3,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,5,2,6,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,5,2,7,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,4,2,7,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,4,2,6,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,3,2,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,3,2,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,3,2,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,3,2,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,3,2,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,4,3,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,4,2,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,3,2,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,3,2,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,3,2,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,4,7,1,3,2,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,4,8,1,3,2,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,3,8,1,4,2,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,7,1,4,2,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,1,4,2,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,4,2,8,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,5,2,8,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,5,2,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,5,3,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,6,3,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,6,2,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,6,2,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,6,2,8,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,5,2,8,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,3,7,1,5,2,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,3,8,1,5,2,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,2,7,3,8,1,5,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,8,3,7,1,5,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,3,7,2,6,1,5,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,1,8,3,7,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,8,3,7,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,8,4,7,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,8,4,7,3,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,7,4,8,3,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,7,4,8,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,7,3,8,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,7,3,8,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,3,8,2,6,1,5,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,2,6,3,7,1,5,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,2,6,3,8,1,5,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,3,6,2,8,1,4,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,3,6,2,4,8,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,7,3,8,2,4,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,5,2,6,3,8,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,5,2,1,6,8,3,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,3,1,6,8,2,4,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,6,2,8,1,3,4,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,5,6,1,4,8,2,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,1,5,6,3,8,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[4,5,1,6,3,8,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,4,5,3,8,2,6,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,7,4,8,3,2,1,5] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[7,4,5,3,1,8,2,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,7,1,5,8,3,2,6] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[5,3,7,8,1,4,2,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[7,5,8,2,4,6,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[7,3,5,8,1,4,6,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,5,1,7,8,3,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[7,4,1,5,8,3,6,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[6,7,4,3,8,1,5,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,7,4,8,3,1,5,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[6,7,4,8,3,5,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[5,6,7,3,8,4,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1] => 3

[5,6,7,3,1,8,4,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[5,6,1,7,3,8,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[5,1,6,7,3,8,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[6,4,7,1,8,3,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,7,8,3,1,4,5,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[6,7,2,8,4,5,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,7,2,8,4,1,3,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,1,6,7,3,2,8,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[5,6,1,7,3,2,8,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,6,7,3,2,1,8,4] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[5,6,2,7,3,8,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[7,5,8,2,1,3,4,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[4,7,1,5,2,8,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,4,2,5,1,8,3,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,7,4,2,8,3,1,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,6,7,2,8,4,5,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[3,6,7,2,1,8,4,5] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,7,3,8,2,1,4,6] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[3,7,8,1,4,6,2,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,4,7,8,2,6,1,5] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[5,7,3,8,2,6,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,4,7,8,2,5,3,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[6,4,7,8,2,1,5,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[5,3,7,8,1,6,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,7,2,8,5,1,3,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,1,6,2,7,8,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[5,6,2,7,1,8,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,6,7,2,8,4,3,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[5,6,7,2,1,8,4,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[5,6,1,7,2,8,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[5,1,6,7,2,8,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[6,4,7,1,8,2,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,6,7,1,8,5,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,6,7,8,1,5,3,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[5,1,6,7,8,4,3,2] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,1,1,1,1] => 4

[5,6,1,7,8,4,3,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[5,6,7,1,8,4,3,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[8,6,1,3,4,2,5,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,3,2,5,1,6,4,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,3,6,2,4,1,7] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,3,2,7,4,1,8,6] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,4,5,3,7,1,8,6] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[8,2,4,5,6,1,3,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[8,2,5,1,3,6,4,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,5,6,2,1,4,3,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,3,6,4,1,2,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,4,1,5,6,3,2,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,1,4,5,6,3,2,7] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[4,5,3,7,2,1,8,6] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[7,4,5,8,3,2,6,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[4,3,6,7,2,8,5,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[1,4,3,6,7,2,8,5] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[4,5,3,7,1,8,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,1,5,3,7,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,5,8,2,1,4,6,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,5,3,8,4,1,6,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[4,3,6,7,8,1,5,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,5,6,7,8,4,1,2] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,2,1] => 5

[3,1,5,6,7,8,4,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,1,1,1] => 5

[4,6,1,7,8,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[3,6,7,1,4,8,5,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[6,2,4,1,7,8,5,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[2,6,7,1,4,8,3,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,3,6,7,8,1,2,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[1,5,3,6,7,8,2,4] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[3,5,6,7,8,2,1,4] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,2,1] => 5

[3,5,6,7,8,2,4,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,2,1] => 5

[5,2,7,1,3,8,4,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,3,1,7,8,2,4,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,6,2,7,4,8,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[3,6,2,7,4,8,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,7,4,2,1,5,8,6] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[4,7,2,1,3,5,8,6] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[7,8,4,2,1,3,6,5] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[7,8,1,3,4,2,6,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[7,8,3,4,2,1,6,5] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[6,3,2,7,1,8,5,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,6,2,7,1,8,5,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,4,7,8,5,2,3,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[2,6,4,7,8,1,5,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[7,4,5,8,6,2,1,3] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[7,5,3,8,6,1,2,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,5,8,2,1,6,3,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,2,7,1,3,8,5,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,6,1,7,8,5,2,3] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[5,1,2,6,7,8,4,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,1,1,1] => 5

[5,2,6,7,8,4,3,1] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,1,1,1,1] => 4

[2,5,6,7,8,4,1,3] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,2,1] => 5

[1,5,2,6,7,8,4,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [5,1,1,1] => 5

[2,6,7,1,3,8,5,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[6,7,8,2,1,5,4,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[4,5,2,3,7,6,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[6,4,3,7,2,5,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,4,3,6,5,1,2,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[1,5,6,3,4,8,7,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[4,6,2,7,3,5,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,7,2,6,5,3,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[1,7,5,4,8,3,6,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1] => 3

[8,7,5,4,1,3,2,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[6,8,5,4,2,1,3,7] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[4,8,2,6,5,1,3,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,2,8,6,5,1,4,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[4,1,2,6,5,8,7,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[5,1,6,2,4,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[6,1,5,4,2,8,7,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[7,1,5,4,8,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[1,8,6,7,4,5,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,2,1,1,1] => 3

[8,1,6,7,4,5,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,1,6,8,4,2,5,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,7,2,8,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[3,2,1,7,8,5,6,4] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[3,2,8,7,1,5,4,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,8,2,7,1,5,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,8,7,1,2,4,3,5] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[8,7,6,1,4,3,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[1,7,6,8,4,3,5,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,2,1,1,1] => 3

[1,6,7,8,3,4,5,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,3,1] => 4

[8,6,7,1,3,4,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,6,8,1,3,2,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,7,8,2,1,3,4,6] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[4,7,2,8,1,3,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,2,6,8,4,1,5,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[4,6,2,8,3,1,5,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,5,8,3,2,1,4,7] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,5,8,3,1,2,4,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,5,7,3,1,4,2,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[1,5,7,3,8,4,6,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[1,4,3,7,8,5,6,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[8,4,3,7,1,5,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,3,8,2,1,5,7] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[4,5,2,3,1,8,7,6] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,4,3,1,2,8,7,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[7,4,3,1,8,2,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,4,3,1,7,6,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[1,5,8,3,7,6,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,2,1,1,1] => 3

[6,5,1,3,2,8,7,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,6,1,2,3,8,7,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[3,2,6,1,4,8,7,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,2,7,1,8,4,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,7,1,2,8,3,6,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[6,7,1,8,2,3,5,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[7,6,1,8,3,2,5,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[1,6,8,7,3,5,4,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [3,2,1,1,1] => 3

[1,7,8,6,5,3,4,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [3,2,1,1,1] => 3

[8,7,1,6,5,3,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,8,1,6,5,2,3,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,8,1,7,2,5,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,8,1,2,7,6,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[3,2,8,1,7,6,4,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,1,2,8,7,6,5,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,1,1,1,1,1] => 3

[5,1,8,2,7,6,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[6,1,8,7,2,5,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[7,1,8,6,5,2,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,1,7,6,5,4,2,3] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[3,1,2,6,5,8,7,4] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[3,1,6,2,4,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[3,1,5,2,4,8,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[4,5,1,2,3,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[4,6,1,2,3,8,7,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[6,1,5,2,4,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[6,5,1,2,3,8,7,4] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[6,4,1,2,3,8,7,5] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[5,4,1,2,3,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[6,4,1,7,2,3,5,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,4,1,8,2,3,5,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,1,5,2,8,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[1,7,5,3,8,4,6,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[1,8,5,3,7,4,6,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[8,1,5,2,7,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,4,1,7,2,3,5,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,4,1,6,2,3,5,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[4,7,1,2,8,3,6,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,1,7,2,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,8,2,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[3,1,8,7,2,4,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,1,7,6,2,4,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[4,7,1,6,2,3,5,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,8,1,6,2,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,8,1,7,2,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,8,1,2,7,3,6,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,8,1,2,7,3,6,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,1,8,2,7,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[1,5,8,3,7,4,6,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[6,1,8,7,2,4,5,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,8,1,7,2,3,5,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[6,8,7,1,2,3,4,5] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[5,8,7,1,2,3,4,6] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[5,8,6,1,2,3,4,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[5,7,6,1,2,3,4,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[7,8,1,6,2,3,5,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[7,1,8,6,2,4,5,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[1,8,7,6,3,4,5,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1] => 4

[8,1,7,6,2,4,5,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[3,2,5,1,6,4,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,5,4,7,1,8,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,2,5,3,7,6,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[4,2,5,3,7,1,8,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,2,5,3,6,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,2,5,1,6,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,1,5,4,6,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,5,3,6,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,3,5,1,6,2,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,5,2,7,1,8,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,6,2,7,5,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[4,3,6,2,7,1,8,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,6,1,7,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,5,1,7,2,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,1,5,4,7,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,5,4,7,3,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,5,4,7,6,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[4,1,5,3,7,6,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[4,3,5,1,7,6,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,3,6,1,7,5,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,3,6,5,7,1,8,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,3,6,4,7,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[5,3,6,4,7,1,8,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,3,6,1,7,4,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,1,6,3,7,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[4,1,6,3,7,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[3,1,6,4,7,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,1,6,4,7,5,8,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,1,6,4,7,3,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,6,4,7,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,6,3,7,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,6,3,7,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,3,6,1,7,2,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,3,6,2,7,1,8,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,3,6,2,7,4,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,2,6,3,7,4,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[5,2,6,3,7,1,8,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,6,1,7,3,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,5,1,7,3,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,6,1,7,3,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,6,3,7,1,8,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,2,6,3,7,5,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[3,2,6,4,7,5,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[3,2,6,4,7,1,8,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,6,1,7,4,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,5,1,7,4,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,4,1,7,5,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,1,4,2,7,6,8,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[3,2,5,1,7,6,8,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,2,6,1,7,5,8,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,2,6,5,7,1,8,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,2,6,5,7,3,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[4,2,6,5,7,1,8,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,2,6,1,7,5,8,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,2,5,1,7,6,8,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,1,5,2,7,6,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[3,1,5,2,7,6,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,1,5,3,7,6,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,1,6,3,7,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[3,1,6,2,7,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,1,6,2,7,5,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[5,1,6,2,7,4,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[5,2,6,1,7,4,8,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,2,6,4,7,1,8,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,6,4,7,3,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[5,4,6,2,7,3,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,4,6,2,7,1,8,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,6,1,7,2,8,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,1,6,4,7,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,6,5,7,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,6,5,7,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,6,5,7,3,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,6,5,7,4,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,1,6,5,7,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[5,1,6,4,7,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[5,4,6,1,7,3,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,4,6,3,7,1,8,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,3,5,2,1,6,4,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,3,5,2,4,1,7] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[2,4,5,7,3,1,8,6] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[8,6,3,5,1,4,2,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,1,4,5,3,2,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,7,4,3,2,1,8,6] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,7,4,3,2,6,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[4,7,6,3,2,8,1,5] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[1,4,6,7,3,2,8,5] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1] => 4

[5,4,7,3,1,8,2,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[3,7,5,1,4,2,8,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,7,4,2,1,3,8,6] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[8,5,7,4,2,1,6,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,7,5,1,4,6,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[3,6,5,8,7,4,1,2] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[4,8,1,6,7,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[3,6,4,1,8,7,5,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,2,6,1,4,7,5,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,7,6,8,1,4,3,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,7,1,6,4,8,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,7,3,5,6,8,2,4] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[1,3,6,7,5,8,2,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[3,7,6,5,8,2,1,4] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[3,6,8,5,7,2,4,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[2,3,5,7,6,8,1,4] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[2,1,6,5,7,8,3,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[3,7,2,6,4,8,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,2,6,1,4,7,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[5,3,7,2,1,8,4,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,7,3,2,1,5,8,6] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[8,7,6,1,3,4,2,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,5,7,3,2,1,6,4] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,6,7,2,1,5,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[3,7,8,6,2,1,5,4] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[8,7,6,3,5,2,4,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[2,7,4,8,1,6,5,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,6,8,2,1,7,5,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[8,5,3,7,1,6,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,6,1,7,5,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,6,1,8,7,2,5,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,1,2,5,6,7,4,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,1,1,1] => 5

[2,1,7,8,5,6,4,3] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[8,2,5,7,6,4,3,1] => [[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [3,1,1,1,1,1] => 3

[2,7,6,8,5,4,1,3] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1] => 3

[1,7,2,5,8,6,4,3] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [4,1,1,1,1] => 4

[1,7,4,8,2,6,5,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[3,7,8,1,6,5,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,7,8,6,1,3,5,4] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[8,7,6,3,5,1,4,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,7,6,5,1,3,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,1,5,6,4,3,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[8,1,6,7,5,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,1,1,1,1,1] => 3

[6,5,3,1,2,4,8,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[4,6,3,5,1,2,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[8,5,3,7,2,1,4,6] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[2,6,1,4,5,3,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,1,2,4,5,3,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[5,6,3,2,1,4,8,7] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[5,4,3,6,1,2,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[3,1,6,4,5,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,8,7,4,2,6,3,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[2,8,7,4,1,6,3,5] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[3,7,8,4,5,1,2,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[2,1,8,7,5,3,4,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[2,1,6,8,5,7,3,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,6,3,8,1,7,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,6,1,4,5,8,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[8,5,7,4,1,6,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,5,8,4,7,6,1,3] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[2,4,8,3,5,6,7,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [5,2,1] => 5

[8,4,1,3,5,6,7,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[7,5,8,4,3,6,1,2] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,5,3,8,4,1,7,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,3,8,2,1,7,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,8,4,2,6,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,3,1,2,5,6,7,4] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[2,3,8,1,5,6,7,4] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[4,3,8,2,5,6,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[4,8,2,3,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[2,8,1,3,5,6,7,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[8,1,2,3,5,6,7,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,1,1] => 6

[7,8,2,4,3,6,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,8,3,2,4,1,7,5] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,7,3,8,1,4,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,7,8,4,5,3,1,6] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[3,8,7,4,2,6,1,5] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[4,8,3,6,2,1,7,5] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[8,6,3,1,4,2,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,5,3,8,2,4,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[2,4,3,1,8,5,7,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,1,3,2,6,8,7,5] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[7,5,3,6,2,8,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,6,3,5,1,2,7,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[5,8,3,2,6,1,7,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,8,2,4,7,6,1,3] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[8,7,5,4,1,6,2,3] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[2,7,6,4,5,8,1,3] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[7,1,6,4,5,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,7,3,6,1,8,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,1,8,5,3,6,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,8,3,5,2,1,7,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[7,8,5,4,2,6,1,3] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,8,4,1,5,6,7,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[4,8,1,2,5,6,7,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[3,4,8,1,5,6,7,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[2,4,1,8,5,6,7,3] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[4,1,2,8,5,6,7,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[8,4,2,1,5,6,7,3] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[6,5,3,2,8,1,7,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[2,1,5,3,8,6,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[6,4,3,5,8,1,7,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,3,4,1,5,6,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[4,3,1,8,5,6,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[6,5,3,7,2,8,4,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,1,7,4,8,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[5,6,3,7,1,8,4,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,8,7,4,5,2,1,6] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[3,7,5,4,8,6,2,1] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [3,1,1,1,1,1] => 3

[5,7,1,4,8,6,2,3] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[4,6,3,5,8,2,7,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[4,6,3,8,1,2,7,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,7,8,4,1,6,2,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[3,2,5,1,6,8,4,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,6,2,5,4,8,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,5,8,2,4,7,6,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[5,4,2,1,6,8,3,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,3,5,1,4,8,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,6,1,5,3,8,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,4,3,2,7,1,8,6] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[5,4,3,8,2,7,6,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,3,6,2,8,7,5,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[4,3,7,6,2,1,8,5] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,3,1,7,2,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,5,4,3,1,8,2,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,2,5,8,4,1,3,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,8,5,7,4,6,1,3] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[3,5,8,7,1,4,6,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[6,4,3,8,1,7,5,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,3,7,1,8,6,5,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,3,8,7,6,4,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,1,1,1,1,1,1] => 2

[7,5,3,1,8,6,4,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[1,8,6,5,3,7,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 3

[1,5,8,6,3,7,4,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [3,2,1,1,1] => 3

[6,8,7,3,1,4,5,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,6,2,8,4,1,3,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,3,1,6,8,4,2,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,7,1,6,3,2,8,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[6,1,7,5,3,2,8,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[7,6,5,3,2,1,8,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[6,5,3,2,8,7,4,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[5,2,6,3,8,7,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[5,2,7,6,3,1,8,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,2,1,7,3,8,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[5,2,7,4,1,8,3,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,4,8,6,3,7,5,1] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [3,2,1,1,1] => 3

[3,8,6,2,4,7,5,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,3,6,2,4,1,8,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,6,7,2,1,4,8,5] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[4,3,7,8,2,1,5,6] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[8,3,7,1,4,6,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,3,6,2,7,1,5,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,8,3,6,2,1,5,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[8,7,3,6,2,5,4,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,7,8,2,1,6,5,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,6,8,1,7,5,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[5,4,8,2,7,1,6,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,8,1,5,7,2,6,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,8,3,7,1,6,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,6,2,7,5,1,3,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[3,6,8,1,7,5,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[5,1,6,8,2,7,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[6,5,2,8,1,7,4,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,2,7,1,8,6,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,8,2,7,6,4,3,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[6,2,8,7,5,4,3,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,1,1,1,1,1,1] => 2

[7,6,2,1,8,5,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[6,1,7,2,8,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[7,5,1,8,2,6,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[4,7,1,8,6,2,5,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,7,4,6,1,5,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,7,1,6,4,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,8,1,7,5,4,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[7,1,8,6,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1] => 2

[8,4,2,6,3,1,5,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[4,7,2,6,3,5,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,7,6,2,3,4,1,8] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[6,8,5,2,3,1,4,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,8,2,6,3,1,5,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,2,8,6,4,1,5,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[3,2,1,6,4,8,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,1,5,2,8,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[1,8,6,7,2,3,4,5] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[8,1,6,7,2,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[7,1,6,8,2,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,2,1,7,8,4,5,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,2,8,7,1,4,5,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,8,7,2,1,3,4,6] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[1,7,6,8,2,3,4,5] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[6,5,8,2,3,1,4,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,7,2,1,3,4,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,4,2,8,3,1,5,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[3,2,5,4,1,8,6,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,5,2,3,1,8,6,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,4,2,3,1,8,6,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,2,1,3,8,5,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,4,2,1,8,3,5,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,4,2,1,7,3,5,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,6,2,1,3,8,5,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,2,6,1,4,8,5,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[3,2,7,1,8,4,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,6,1,8,2,3,4,5] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,6,1,7,2,3,4,5] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[1,6,8,7,2,3,4,5] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,7,8,6,2,3,4,5] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[7,8,1,6,2,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[6,8,1,7,2,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,2,8,1,7,4,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,1,8,7,4,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,1,8,2,7,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[6,1,8,7,2,3,4,5] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[8,1,7,6,2,3,4,5] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[1,8,7,6,2,3,4,5] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[8,3,7,5,2,1,4,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[6,3,7,5,1,8,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,2,7,1,8,3,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,2,7,4,1,3,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[2,6,1,5,4,3,8,7] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[6,4,3,5,1,2,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[3,1,4,6,5,2,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,4,7,2,6,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,4,7,8,5,2,1,6] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [4,2,1,1] => 4

[8,6,3,5,1,7,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,4,8,6,5,7,1,2] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[7,5,4,8,1,6,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,5,4,6,7,1,8,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[2,4,6,3,7,5,8,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[4,1,6,3,8,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[3,7,4,2,8,6,5,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[6,5,8,4,1,7,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,3,7,4,1,6,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,1,4,8,3,7,6,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[7,4,3,8,2,1,6,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,7,4,1,8,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,1,8,2,7,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[2,3,8,1,6,7,5,4] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[4,3,7,2,6,8,5,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[2,8,1,3,6,5,7,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[3,8,6,7,2,4,1,5] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[5,3,8,7,4,2,6,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[4,3,8,7,2,1,6,5] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,6,1,4,2,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,3,4,1,8,5,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[5,3,6,1,8,7,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,6,2,8,7,4,1,3] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[7,8,5,6,1,4,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,1,6,4,5,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,8,3,6,1,7,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,1,7,5,3,6,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,7,3,5,2,1,8,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[2,7,4,1,6,5,8,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,6,1,2,8,7,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[2,4,1,5,8,7,6,3] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[6,4,2,1,5,8,7,3] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[8,5,2,4,6,1,7,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,5,3,2,6,8,1,4] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[2,1,5,3,6,8,7,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[7,3,5,4,6,1,8,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,3,4,1,5,7,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[4,3,1,5,7,6,8,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[3,1,4,5,6,8,7,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,1,1,1] => 5

[6,5,2,1,4,3,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,5,2,7,4,1,6,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,7,5,2,1,6,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,7,5,2,8,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,1,6,5,4,2,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[5,6,3,2,4,1,8,7] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,6,2,4,1,5,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[2,6,1,3,5,4,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[6,7,2,3,4,8,5,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [4,2,1,1] => 4

[8,7,2,3,4,1,6,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[5,1,7,3,8,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,5,7,3,8,6,4,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,2,1,1,1] => 3

[3,6,7,4,1,8,5,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,6,3,7,4,8,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[2,1,6,7,4,8,5,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[2,1,8,7,4,3,6,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[3,8,7,4,1,2,6,5] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[7,8,1,3,5,2,6,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,8,7,3,2,6,1,4] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,8,6,3,1,5,7,4] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[2,8,4,1,6,3,7,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,8,1,2,7,6,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[3,8,4,2,5,7,1,6] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[2,1,5,3,8,7,6,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[6,5,3,2,8,7,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[7,5,2,4,8,1,6,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[3,4,2,8,5,7,6,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[2,4,1,8,7,6,5,3] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[8,4,2,1,7,5,3,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[5,7,1,6,8,2,4,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[8,6,2,5,1,7,4,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,1,2,3,6,8,7,5] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,1,1,1] => 5

[5,6,2,8,4,3,1,7] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[4,7,2,8,1,5,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,7,2,1,4,5,6,3] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[3,6,8,7,1,5,4,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,7,8,6,3,4,1,2] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[7,1,8,5,4,3,6,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[2,7,8,4,5,3,6,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[5,7,3,8,1,4,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,1,5,8,4,6,3,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[6,5,3,8,4,1,2,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,5,8,4,3,6,2,1] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[2,4,8,3,5,6,1,7] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[3,4,8,1,7,2,5,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,1,8,2,4,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[2,3,8,1,4,6,7,5] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[4,3,8,2,5,1,7,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,4,3,8,2,5,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[2,1,4,8,3,5,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[6,8,2,4,3,5,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,8,2,1,4,6,5,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[2,8,1,3,4,5,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[2,8,4,1,6,5,7,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,8,7,6,1,4,3,5] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,8,5,6,7,4,3,1] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [4,1,1,1,1] => 4

[7,5,8,6,1,4,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,5,7,6,1,4,2,8] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[7,5,8,2,4,1,6,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,8,5,3,4,7,6,1] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [4,1,1,1,1] => 4

[2,8,5,3,4,1,6,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,8,7,6,1,4,5,3] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[2,8,5,6,7,4,1,3] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[2,8,5,3,4,7,1,6] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[2,8,5,3,4,6,1,7] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[2,8,5,3,4,6,7,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [5,1,1,1] => 5

[6,5,2,7,3,1,4,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,5,2,8,3,1,7,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,2,8,3,1,4,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,5,8,2,4,6,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[7,5,8,6,1,4,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,5,6,2,1,8,7,4] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,7,6,1,4,8,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[3,5,7,2,4,6,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[6,5,2,7,3,1,8,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[4,5,2,6,3,1,7,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[4,1,2,3,7,6,8,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[5,1,2,6,4,8,7,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[6,5,2,8,3,7,4,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[4,1,2,3,8,6,7,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[6,1,2,8,4,5,7,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[6,5,8,2,4,3,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,5,8,2,4,3,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,1,6,8,7,3,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[5,7,8,6,3,4,2,1] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [3,2,1,1,1] => 3

[4,1,8,3,6,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[4,1,8,3,6,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,4,8,6,2,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,4,8,6,5,2,7] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[4,1,6,7,8,3,2,5] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[4,5,2,6,3,7,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,5,2,7,3,8,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,5,6,2,4,8,7,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[3,7,5,6,8,4,1,2] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[7,1,6,5,8,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[7,5,2,6,3,8,4,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[4,1,2,3,5,8,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,1,1,1] => 5

[4,1,2,3,7,8,6,5] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,1,1,1] => 5

[4,5,2,7,3,8,6,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[7,8,5,6,1,4,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,4,1,2,5,7,3,8] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[2,4,8,1,5,7,3,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,3,8,1,7,2,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,3,1,4,7,2,5,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,8,3,5,4,2,1,6] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[7,8,3,6,5,4,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[7,8,2,6,4,1,3,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[7,8,1,6,5,4,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[2,1,8,7,5,4,3,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[1,3,8,2,6,4,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[5,3,7,1,6,4,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,3,6,2,7,4,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,3,1,8,4,2,7,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,4,2,1,5,3,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[2,4,7,1,5,3,6,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[1,3,7,6,4,2,8,5] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[3,7,2,8,6,4,1,5] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[1,8,5,7,3,6,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[2,7,5,8,3,6,1,4] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,6,1,4,7,3,5,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,5,6,7,2,8,1,3] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[4,5,7,6,1,8,3,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,6,5,7,1,2,8,3] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[5,1,6,3,4,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,7,1,4,2,3,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,7,6,4,3,8,1,2] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,3,4,5,8,7,1,2] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[6,2,4,1,8,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,1,4,2,7,6,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[1,6,2,4,7,8,3,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[5,7,2,4,1,6,3,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,5,8,1,4,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,8,7,6,3,4,1,2] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,7,6,2,3,1,4] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[4,8,2,1,5,6,3,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,7,8,1,6,3,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,1,8,7,6,5,3,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[4,3,7,5,6,8,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,8,6,3,5,7,1,2] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[3,8,6,5,2,4,1,7] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[5,3,7,8,2,1,6,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[5,2,8,7,1,6,4,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,6,8,7,5,2,4,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[3,6,7,8,5,1,4,2] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[3,7,8,5,1,2,4,6] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[4,1,8,6,2,3,5,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,8,7,6,5,4,1,2] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [2,2,1,1,1,1] => 2

[2,8,7,5,1,4,3,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,8,6,7,5,1,3,4] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[6,4,2,7,1,3,8,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,4,2,5,1,3,8,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,5,3,6,1,7,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,6,2,4,8,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[3,6,2,7,1,4,8,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,3,7,4,1,2,8,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[4,7,1,5,2,3,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[7,6,4,2,3,8,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,6,4,2,3,7,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[3,7,6,1,4,8,2,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[6,4,7,5,2,8,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,4,8,5,2,6,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,2,6,3,7,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,8,6,2,4,7,1,5] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[2,6,5,8,1,3,4,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,5,7,4,8,1,3,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[3,5,7,1,4,8,2,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[5,3,7,2,4,8,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,4,7,3,8,1,2,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,4,6,3,8,1,2,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,6,3,7,1,2,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,1,6,7,2,3,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,4,1,6,8,2,3,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,5,3,7,1,8,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,1,2,7,8,3,4] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[5,3,6,4,7,8,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,7,1,5,8,6,2,3] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[7,5,1,2,8,6,3,4] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[7,6,1,8,5,2,3,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,6,1,7,5,2,3,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,7,2,8,1,6,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,3,7,8,5,1,2,4] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,4,8,7,1,3,5,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[4,3,8,7,1,2,5,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,3,8,7,1,2,4,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,3,7,6,1,2,4,5] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,4,7,6,1,2,3,5] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[3,5,8,7,1,2,4,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[2,5,8,7,1,3,4,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[6,8,4,7,5,1,2,3] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[2,8,7,6,1,3,4,5] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[3,8,7,6,1,2,4,5] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[4,8,7,6,1,2,3,5] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[7,5,3,8,2,1,6,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,1,7,8,5,3,6,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[5,7,3,8,1,2,6,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[8,7,1,4,5,3,2,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,7,8,4,1,6,5,3] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[7,1,8,4,2,6,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[6,5,3,1,8,4,7,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[8,6,3,1,2,5,7,4] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[8,7,1,4,2,6,5,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[2,3,4,5,6,7,8,1,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,2] => 7

[2,3,4,5,6,8,9,1,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,2] => 7

[2,3,4,5,7,8,9,1,6] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,2] => 7

[2,3,4,6,7,8,9,1,5] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,2] => 7

[2,3,5,6,7,8,9,1,4] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,2] => 7

[2,4,5,6,7,8,9,1,3] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,2] => 7

[3,4,5,6,7,8,9,1,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,2] => 7

[2,3,4,5,6,7,8,9,10,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,1] => 9

[2,3,4,5,6,7,8,9,1,10] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[2,3,4,5,6,7,1,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[2,3,4,5,6,7,8,10,1,9] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[2,3,4,5,6,7,9,10,1,8] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[2,3,4,5,6,8,9,10,1,7] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[2,3,4,5,7,8,9,10,1,6] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[2,3,4,6,7,8,9,10,1,5] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[2,3,5,6,7,8,9,10,1,4] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[1,4,5,6,7,8,9,2,3] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [7,2] => 7

[2,4,5,6,7,8,9,10,1,3] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[3,4,5,6,7,8,9,10,1,2] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,2] => 8

[3,6,4,5,7,2,8,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[8,5,3,6,2,7,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,2,6,3,4,7,1,5] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[7,2,6,3,4,5,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[6,2,7,3,4,5,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[2,7,6,3,4,5,8,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [5,1,1,1] => 5

[8,6,5,2,3,7,1,4] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,5,2,1,7,3,4,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,5,2,1,8,3,4,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[5,6,2,3,1,8,4,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,4,8,6,2,7,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[6,8,3,5,2,7,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[1,8,6,3,7,2,4,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[1,8,2,7,3,4,5,6] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[2,8,1,7,3,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,8,1,5,7,2,3,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[8,1,2,7,3,4,5,6] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[3,6,2,7,1,8,4,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,3,7,1,2,8,4,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,2,6,1,8,3,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,1,5,8,4,6,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[4,3,5,1,6,8,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,4,6,3,8,7,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,6,4,5,8,7,1,2] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[5,3,2,8,7,1,4,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,3,1,8,7,2,4,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,5,3,7,6,1,2,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,3,8,1,7,2,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,6,8,2,3,5,1,4] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,7,3,8,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,2,5,8,7,1,3,6] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[2,3,8,7,1,4,5,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[7,2,8,6,1,3,4,5] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[2,1,8,7,3,4,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[8,2,7,6,1,3,4,5] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[1,2,8,7,3,4,5,6] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1] => 6

[1,3,8,7,2,4,5,6] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[4,1,5,8,7,2,3,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[5,4,8,7,6,1,2,3] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[6,8,3,7,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[7,8,6,2,5,1,3,4] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[8,1,6,7,3,2,5,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,6,7,3,2,4,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,5,1,3,6,2,4,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,5,8,3,6,2,4,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,4,1,3,2,6,5,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,1,4,3,2,7,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[8,1,5,4,6,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,1,5,3,6,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,4,3,2,6,7,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[8,1,4,3,2,5,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,4,1,3,2,5,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,4,8,3,2,5,6,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[6,4,3,1,2,5,8,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[7,5,1,4,6,8,2,3] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[7,4,8,3,2,6,1,5] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,4,8,3,2,5,1,6] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,4,3,8,2,5,1,7] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,3,2,8,6,1,7] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[5,4,3,2,8,7,1,6] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[6,5,4,8,7,1,2,3] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,5,4,1,7,8,2,3] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,5,3,1,7,2,8,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,4,3,1,2,7,8,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[5,4,3,2,1,8,6,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[6,5,3,1,8,2,7,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,5,4,1,8,7,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,4,1,3,2,8,6,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,4,1,3,2,8,5,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,4,3,1,2,8,5,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[6,4,3,1,2,7,5,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[6,4,3,8,2,7,5,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,5,3,8,7,2,4,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[6,5,3,1,7,2,4,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[6,5,3,1,8,2,4,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,5,1,3,8,2,4,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,6,1,8,3,2,4,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,6,8,1,4,5,2,3] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,6,8,1,3,2,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,4,3,7,2,8,5,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,4,3,7,2,1,5,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,4,8,3,2,1,5,6] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,4,8,3,2,1,6,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,8,4,1,6,2,3] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,4,8,1,7,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,3,8,1,2,7,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[5,4,3,2,8,1,7,6] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,3,7,2,1,8,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,3,7,1,2,8,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,5,4,7,1,8,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,3,7,8,2,1,4] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[6,4,3,7,2,8,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,3,2,7,8,1,6] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[5,4,3,2,6,8,1,7] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[5,6,2,1,3,4,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[7,6,1,2,5,8,3,4] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[2,1,7,8,4,3,5,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,8,1,2,5,4,6,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[6,5,2,1,8,7,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[4,7,2,8,1,3,6,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,4,7,1,8,2,6,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[1,8,2,4,3,5,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,7,2,4,3,5,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,6,2,4,3,5,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,5,2,4,3,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,6,2,5,3,4,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,7,2,5,3,4,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,8,2,5,3,4,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,8,2,6,3,4,5,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,7,2,6,3,4,5,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [6,1,1] => 6

[1,8,2,7,3,5,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,7,2,8,3,5,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,6,2,8,3,5,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,5,2,8,3,6,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,4,2,8,3,6,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,3,2,8,4,6,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,2,3,8,4,6,5,7] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1] => 6

[1,2,3,7,4,6,5,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1] => 6

[1,3,2,7,4,6,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,4,2,7,3,6,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,5,2,7,3,6,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,6,2,7,3,5,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,7,2,6,3,5,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,8,2,6,3,5,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,8,2,5,3,6,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,7,2,5,3,6,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,6,2,5,3,7,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,5,2,4,3,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,6,2,4,3,7,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,7,2,4,3,6,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,8,2,4,3,6,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,8,2,3,4,6,5,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,7,2,3,4,6,5,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,8,2,3,4,7,5,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [6,1,1] => 6

[1,8,2,4,3,7,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,7,2,4,3,8,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,6,2,4,3,8,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,5,2,4,3,8,6,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,6,2,5,3,8,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,7,2,5,3,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,8,2,5,3,7,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,8,2,6,3,7,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,7,2,6,3,8,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,2,3,8,4,7,5,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [6,1,1] => 6

[1,3,2,8,4,7,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,4,2,8,3,7,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,5,2,8,3,7,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,6,2,8,3,7,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,7,2,8,3,6,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[1,8,2,7,3,6,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 5

[4,6,3,7,2,5,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,6,3,7,5,2,1,8] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[4,6,3,8,5,1,2,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[4,6,2,7,5,3,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[5,6,8,4,3,1,7,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[5,6,8,4,3,1,2,7] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[5,7,8,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,7,8,4,1,6,3,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[5,7,8,4,1,3,6,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[5,6,8,4,2,1,7,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[3,2,6,8,5,1,7,4] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,6,8,5,1,4,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[4,6,2,8,5,1,3,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,6,8,4,2,1,3,7] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[5,7,8,4,1,3,2,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,7,8,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[5,7,8,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[6,7,8,1,5,2,3,4] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[6,7,8,1,5,2,4,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,7,8,1,5,3,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[6,7,8,1,3,5,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[5,7,8,2,1,6,3,4] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,7,2,8,1,6,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,2,7,8,1,6,4,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,2,7,8,1,6,5,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,7,2,8,1,6,5,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,7,8,2,1,6,4,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[6,7,8,1,3,5,4,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[6,7,8,1,5,3,4,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[6,7,8,1,5,4,3,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[6,7,8,1,5,4,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[6,7,8,1,4,5,2,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,7,8,1,4,5,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[6,7,8,1,4,3,5,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[6,7,8,1,3,4,5,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[5,7,8,2,1,4,6,3] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[4,7,2,8,1,5,6,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[3,2,7,8,1,5,6,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[3,2,6,8,4,1,7,5] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[5,6,8,3,2,1,7,4] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[5,7,8,3,1,4,6,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[5,7,8,3,1,6,4,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[5,7,8,3,1,6,2,4] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,7,3,8,1,6,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,7,3,8,1,6,5,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[4,7,3,8,1,5,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,6,3,8,2,1,7,5] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[4,5,3,2,8,1,7,6] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,2,5,4,8,1,7,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,5,3,2,8,1,6,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,6,3,8,2,1,5,7] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[4,7,3,8,1,5,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,7,3,8,1,2,6,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[4,7,3,8,1,2,5,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,7,8,3,1,2,4,6] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[5,7,8,3,1,2,6,4] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[5,7,8,3,1,4,2,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,6,8,3,2,1,4,7] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[3,2,7,8,1,5,4,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,7,8,2,1,4,3,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,7,8,1,3,4,2,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,7,8,1,4,3,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[6,7,8,1,4,2,5,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,7,8,1,4,2,3,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[6,7,8,1,2,5,3,4] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[6,7,8,1,2,5,4,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[6,7,8,1,2,4,5,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[6,7,8,1,3,2,5,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[5,7,8,2,1,3,6,4] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[6,7,8,1,3,2,4,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[6,7,8,1,2,4,3,5] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[6,7,8,1,2,3,5,4] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[7,2,8,5,1,6,4,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,2,8,5,4,1,6,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,5,4,3,1,7,6] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,4,5,6,1,7,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[2,8,4,5,3,7,1,6] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,8,4,3,5,6,1,7] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[7,2,8,4,5,6,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[1,6,3,7,5,2,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[6,2,3,8,5,1,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[6,3,2,8,5,1,4,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,4,8,2,5,6,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[7,4,8,5,2,1,3,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[6,4,8,5,1,3,7,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[6,3,7,5,2,1,8,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,3,7,5,1,2,8,6] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[4,3,7,1,5,6,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[3,6,1,7,5,2,8,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,4,1,2,7,6,8,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[3,6,5,7,1,4,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[6,5,2,7,4,1,8,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[3,5,2,6,4,8,7,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[5,6,1,8,7,2,4,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[6,3,5,8,2,7,4,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[6,5,8,4,2,3,7,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[1,6,5,7,3,4,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,5,2,7,4,6,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[5,2,1,8,7,6,3,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,1,3,8,4,6,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[2,3,4,8,6,5,1,7] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,1,1] => 4

[2,7,3,5,8,6,1,4] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[3,2,4,7,8,6,1,5] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[1,5,4,6,2,7,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[5,2,4,7,1,8,3,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,3,6,4,1,8,7,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,6,1,4,8,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,3,5,6,8,4,2,1] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [4,1,1,1,1] => 4

[6,3,5,1,8,2,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,6,1,5,8,4,7,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[5,7,1,6,3,8,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[3,2,4,1,7,8,5,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,1,4,2,7,8,6,5] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[5,1,4,7,2,8,6,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[3,6,4,7,8,2,5,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[6,3,4,5,7,1,8,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[2,5,4,6,1,7,8,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[7,2,1,4,3,6,5,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,3,4,1,2,6,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,4,3,2,1,6,5,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,6,3,2,5,4,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[1,8,3,2,5,4,7,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[7,3,5,1,6,2,4,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,2,1,5,6,3,4,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,2,1,6,5,4,3,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,3,6,1,5,4,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,4,6,5,1,3,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,8,5,4,3,2,7,6] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,8,6,4,3,7,2,5] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[6,5,7,4,3,1,8,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,7,5,1,3,8,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[6,3,7,1,5,4,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,2,1,8,5,4,7,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[2,3,8,1,5,4,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,4,8,5,1,3,7,6] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[2,7,8,4,3,6,5,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [3,2,1,1,1] => 3

[1,8,7,4,3,6,5,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 3

[1,8,7,5,6,3,4,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1] => 3

[2,7,8,5,6,3,4,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[2,6,8,5,7,3,1,4] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[2,5,8,6,7,1,3,4] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[2,4,8,6,1,7,3,5] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[5,3,7,1,6,8,4,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[5,4,7,6,1,8,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,5,7,6,8,1,3,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[4,6,7,5,8,3,1,2] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[1,8,5,6,7,2,3,4] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[4,7,5,6,8,2,3,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[4,6,5,7,8,2,1,3] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4

[5,4,6,7,1,8,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,3,6,1,7,8,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,2,1,6,7,8,3,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[6,3,5,1,7,2,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,5,4,7,2,1,8,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,6,4,7,2,8,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[1,8,4,6,2,7,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,8,3,2,6,7,4,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[6,5,3,2,7,1,8,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,3,2,1,7,8,5] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[5,2,1,4,3,8,7,6] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,3,4,1,2,8,7,6] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,6,3,2,8,7,1,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,8,3,2,7,6,5,4] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[1,8,4,7,2,6,5,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[3,6,4,8,2,7,1,5] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,4,5,8,1,2,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[4,3,5,1,8,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,6,1,8,7,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,4,6,8,1,7,2,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[3,5,6,8,7,1,2,4] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[3,6,5,8,7,2,1,4] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[3,7,5,8,6,2,4,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[1,8,5,7,6,2,4,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,8,6,7,5,4,2,3] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[3,6,7,8,5,4,1,2] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,1,1] => 4

[3,4,7,8,1,6,5,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[4,2,1,7,8,6,5,3] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[2,3,8,1,7,6,5,4] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[2,4,8,7,1,6,5,3] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,5,8,7,6,1,4,3] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[2,6,8,7,5,4,1,3] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [3,2,1,1,1] => 3

[7,4,6,1,8,3,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,3,5,1,7,4,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,3,4,1,7,5,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,4,6,2,7,5,8,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[7,5,2,1,6,8,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[6,8,4,3,1,7,5,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,6,8,4,1,7,5,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,6,7,5,1,8,4,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[7,5,6,1,8,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,4,6,5,7,1,8,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[4,7,5,6,1,8,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,7,5,1,8,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,8,4,1,7,5,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,7,5,3,1,8,4,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,2,1,6,7,5,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[1,5,3,2,7,6,8,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[5,3,2,1,7,6,8,4] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[2,5,3,1,7,6,8,4] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,4,6,1,7,5,8,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[4,7,1,6,5,8,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,8,2,6,5,7,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,6,1,2,7,5,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[7,5,1,2,6,8,4,3] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[8,4,1,2,6,7,5,3] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[5,3,1,2,7,6,8,4] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[1,2,5,3,7,6,8,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[4,3,1,2,7,6,8,5] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[3,5,1,2,7,6,8,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[6,7,1,5,8,2,3,4] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,7,6,1,5,8,3,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,3,5,1,7,6,8,4] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[7,6,1,5,8,3,2,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[3,6,7,1,5,8,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[7,1,6,5,8,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,5,1,6,8,4,2,3] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,4,1,6,7,5,2,3] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,2,3,1,7,6,8,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,3,5,2,7,6,8,4] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[1,7,6,2,5,8,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[7,6,2,1,5,8,3,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,2,4,1,7,5,8,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,2,5,1,7,4,8,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,1,6,4,8,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,2,6,4,7,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,1,5,2,7,4,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,3,5,7,6,2,1,4] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[5,2,1,3,7,6,8,4] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[6,1,4,2,7,5,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,2,6,5,7,1,4,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,1,3,2,7,6,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,1,3,2,7,6,8,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,2,1,3,7,6,8,5] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[2,4,1,3,7,6,8,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[2,5,1,3,7,6,8,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[2,8,3,5,7,6,1,4] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[6,8,2,3,5,7,1,4] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,7,1,3,5,8,2,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[8,3,5,7,6,1,2,4] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[5,1,2,3,7,6,8,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[3,1,2,4,7,6,8,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[8,1,2,4,3,6,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,1,3,2,4,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[2,7,8,3,4,5,6,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [5,2,1] => 5

[6,3,2,1,4,5,8,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[7,4,1,5,6,8,2,3] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[4,7,8,5,6,1,2,3] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[3,7,8,5,6,2,1,4] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[3,7,8,4,2,6,1,5] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[3,6,2,8,4,5,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[2,3,6,7,4,5,8,1] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [5,2,1] => 5

[3,5,2,4,8,6,1,7] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[4,6,5,8,7,1,2,3] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[6,4,5,1,7,8,2,3] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,2,4,1,3,7,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,2,5,1,7,3,4,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,5,2,1,8,3,4,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,5,6,7,8,3,4,1] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [5,2,1] => 5

[2,4,6,7,3,8,5,1] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [4,2,1,1] => 4

[4,2,6,7,3,1,5,8] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[4,7,8,3,2,1,6,5] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[5,6,4,8,1,7,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,6,3,8,1,2,7,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[4,3,6,7,2,1,8,5] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[3,4,6,7,2,8,1,5] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[3,4,2,5,6,8,1,7] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[4,7,1,8,6,5,2,3] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,7,1,2,8,6,5,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[4,6,8,1,2,7,5,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[7,8,1,6,3,5,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,8,1,3,6,5,2,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[7,8,3,6,5,2,1,4] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[1,7,3,4,8,6,5,2] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [4,1,1,1,1] => 4

[4,2,7,1,8,6,5,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,8,2,3,6,5,1,4] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[8,5,7,1,6,2,3,4] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,5,7,1,2,6,3,4] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,8,2,7,1,3,5,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,2,4,8,7,1,5,3] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[1,6,8,3,7,4,5,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[1,6,8,3,4,7,5,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[6,2,4,8,1,7,5,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[6,8,7,2,3,5,1,4] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[8,5,7,2,1,6,3,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,6,2,1,4,3,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,5,7,2,3,1,6,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,8,4,2,7,1,6,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[1,8,7,5,3,4,6,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1] => 4

[1,8,7,3,5,4,6,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[8,2,5,4,7,1,6,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,5,2,7,3,1,6,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,6,2,4,3,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,7,6,1,2,4,3,5] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,7,6,1,4,2,3,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,7,6,4,1,3,2,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[5,8,4,7,2,1,6,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[1,8,7,5,4,3,6,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [3,1,1,1,1,1] => 3

[6,8,7,3,2,5,1,4] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,8,1,7,3,2,5,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,5,7,3,1,6,2,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,7,1,3,2,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,8,4,7,1,2,6,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,8,4,7,1,6,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,8,5,7,1,6,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,8,5,7,1,2,6,3] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[4,8,5,1,7,2,6,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,5,3,1,7,2,6,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,5,3,7,1,2,6,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,8,1,3,7,2,5,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,6,2,8,1,7,5,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[1,6,4,8,3,7,5,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[1,8,7,4,5,3,6,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1] => 3

[8,5,3,7,2,1,6,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,6,3,1,4,2,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,7,6,1,3,2,4,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,5,3,2,7,1,6,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[1,8,7,4,3,5,6,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1] => 4

[1,8,7,3,4,5,6,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,1,1,1] => 5

[8,2,4,5,7,1,6,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[8,5,2,3,7,1,6,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[6,3,1,5,4,2,8,7] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,3,1,5,2,7,6,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[8,5,4,2,1,7,3,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,5,4,2,1,7,6,3] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[6,5,4,2,1,3,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[6,5,4,2,3,1,8,7] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,2,5,1,4,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,5,4,3,1,2,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[6,5,4,1,3,2,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,5,4,1,2,7,6,3] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[8,7,4,1,6,3,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,4,1,6,3,5,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[8,7,4,1,6,5,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[8,5,4,1,3,7,6,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[8,5,4,3,1,7,6,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[8,3,2,5,1,7,6,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,1,8,5,3,7,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[8,3,2,5,1,7,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,4,3,1,7,2,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,5,4,1,3,7,2,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,7,4,1,6,5,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,4,1,6,2,5,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,7,6,5,2,1,4,3] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[8,7,4,3,6,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[8,3,2,7,6,4,1,5] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[2,1,8,7,6,4,3,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[2,1,8,7,6,4,5,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[8,7,4,3,6,2,5,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,6,5,2,4,3,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 2

[8,5,4,2,3,7,6,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1] => 3

[8,7,4,2,6,5,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[8,7,4,2,6,3,5,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[8,7,4,2,6,3,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,3,1,7,6,4,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,3,1,7,6,5,4,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[8,3,1,7,6,5,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,3,1,7,6,2,5,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,7,4,2,6,1,5,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,4,2,6,5,1,3] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,5,4,2,3,7,1,6] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,3,2,7,6,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,7,4,3,6,5,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,7,6,5,3,1,4,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[8,7,6,5,1,3,2,4] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,7,6,5,1,3,4,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[8,7,6,5,1,4,3,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[8,7,6,5,4,1,3,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[8,7,4,3,6,1,5,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,2,7,6,1,5,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,1,8,7,6,3,5,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,3,2,7,6,1,4,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,7,6,5,1,4,2,3] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,7,6,5,1,2,4,3] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[7,3,5,1,8,4,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,3,4,1,8,5,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,5,6,2,1,8,7,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[1,6,5,2,7,4,3,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[7,4,3,1,8,6,5,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[7,6,5,1,8,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[7,6,4,1,8,5,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[6,4,2,1,8,7,5,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[1,6,4,2,7,5,3,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,5,3,2,7,6,4,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[5,3,2,1,8,7,6,4] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[4,5,7,1,6,8,2,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,5,1,2,8,4,3,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[6,4,1,2,8,5,3,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[5,3,1,2,8,6,4,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[4,3,1,2,8,6,5,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[7,1,3,4,8,2,5,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[7,1,5,6,8,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,6,1,5,7,8,3,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[7,4,1,6,8,5,2,3] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,2,3,1,8,6,7,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,6,2,5,7,3,4,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[6,2,4,1,8,5,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,2,5,1,8,4,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,6,2,4,7,3,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[5,2,1,3,8,7,4,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[3,6,7,1,4,8,2,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[7,6,1,4,8,3,2,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[4,2,1,3,8,7,5,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[2,6,1,4,7,8,3,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[7,1,4,6,8,2,3,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[7,1,3,5,8,2,4,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[5,2,3,1,6,4,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,4,5,2,3,1,8,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,6,7,3,5,2,4,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,3,5,2,4,1,8,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,3,5,2,4,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,2,4,1,6,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,1,6,3,5,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,3,4,1,5,2,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,6,3,4,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,7,3,4,1,8,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,8,6,7,3,4,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[6,2,8,5,7,3,4,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[6,2,7,3,4,1,8,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,3,4,1,5,2,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,1,7,3,5,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,7,4,5,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,7,4,5,3,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,8,6,7,4,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,1,8,6,7,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[8,6,7,3,4,1,5,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,5,7,3,4,1,6,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,5,6,2,7,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,4,7,3,5,1,6,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,1,8,4,7,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,1,8,5,7,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[3,1,8,5,7,4,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[2,1,8,5,7,4,6,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[2,1,7,4,6,3,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,7,4,6,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,7,3,6,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,7,3,6,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,2,7,3,5,1,8,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,8,4,7,3,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[8,4,7,3,6,2,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,3,6,2,5,1,8,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,2,5,1,7,3,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,4,1,7,3,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,2,4,1,7,3,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,5,7,3,6,2,4,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,5,7,4,6,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,4,6,2,3,1,8,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,2,3,1,7,4,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,3,1,7,4,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,3,1,7,5,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,1,4,2,8,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[6,2,3,1,8,5,7,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,5,6,2,3,1,7,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,4,8,5,6,2,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[7,3,8,5,6,2,4,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,5,6,2,4,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,2,4,1,8,6,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,1,5,2,8,6,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[3,1,5,2,8,6,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,1,6,3,8,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[3,1,6,2,8,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,1,6,2,8,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[5,1,6,2,8,4,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,4,6,2,5,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,3,8,4,6,2,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[6,2,7,3,8,4,5,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,4,5,1,6,2,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,1,8,4,6,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,8,5,6,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,8,5,6,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,8,5,6,3,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,7,4,8,5,6,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[3,1,7,4,8,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[4,1,7,3,8,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[7,3,8,4,5,1,6,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,4,5,1,7,3,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,3,6,2,8,4,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[7,8,5,6,1,3,4,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[3,6,1,4,7,2,5,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,6,1,2,5,7,3,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[7,8,2,4,5,6,1,3] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[7,8,4,5,3,1,6,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[1,5,8,4,3,2,7,6] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[5,6,1,4,3,2,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,6,4,8,3,7,1,5] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,4,8,5,3,1,6,7] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[2,5,8,1,4,7,6,3] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[3,5,8,4,7,6,1,2] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[1,6,2,4,7,3,8,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[7,5,3,6,2,4,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,7,3,6,1,4,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,3,6,7,2,1,8,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[6,1,7,5,2,4,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,3,1,2,4,5,8,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[1,4,7,2,5,3,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,6,7,5,8,2,4,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[3,5,6,7,8,1,4,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[3,6,5,7,8,2,1,4] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4

[5,2,7,6,1,4,3,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,1,6,8,4,5,3,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[2,7,1,8,5,3,4,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,1,8,5,4,6,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[1,7,3,8,5,2,6,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[5,7,8,6,3,2,1,4] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [3,2,1,1,1] => 3

[5,7,8,6,1,3,4,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[7,6,5,8,1,3,4,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,6,3,4,5,8,1,7] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[7,2,1,4,8,3,5,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,6,2,7,3,1,4,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,7,6,4,1,8,3,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,7,1,5,2,8,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,1,5,2,8,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[6,7,5,3,8,4,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,1,5,3,4,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,5,2,4,3,1,6,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,4,6,1,2,5,3,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,8,1,3,7,5,4,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[7,4,2,6,5,1,3,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,4,6,3,1,5,2,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,3,5,4,1,6,8] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[6,8,1,2,3,4,7,5] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[5,8,2,3,7,6,4,1] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,1,1,1] => 3

[2,5,3,6,8,4,7,1] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [4,2,1,1] => 4

[2,5,7,8,1,4,6,3] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[3,5,7,4,1,6,2,8] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[5,2,8,4,6,1,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,1,8,6,3,7,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[4,2,8,5,7,6,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[1,4,2,7,5,8,6,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[4,1,8,6,7,5,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 3

[5,3,8,7,6,2,4,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[5,8,4,7,6,2,1,3] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[5,8,7,4,3,6,1,2] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,4,8,3,1,7,2,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,2,8,7,1,3,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,8,3,7,1,6,4,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[1,5,7,6,4,2,8,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[6,4,8,1,2,7,3,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,8,5,1,2,3,7,4] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[6,8,5,3,1,2,7,4] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[4,5,1,2,7,6,3,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[4,5,1,2,6,8,7,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[3,5,6,1,8,4,7,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,5,7,1,2,8,6,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[3,6,2,7,5,1,4,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[4,2,6,1,7,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,1,4,7,5,6,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[4,2,5,6,1,8,7,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[2,1,7,5,8,6,4,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[1,2,7,5,3,8,6,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[4,1,2,7,3,8,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[6,4,1,7,5,2,3,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,1,3,7,5,2,4,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,1,2,6,8,5,4,7] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[3,7,1,2,5,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,4,1,7,8,6,5,3] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[3,4,7,5,1,8,6,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,7,4,1,5,8,6,3] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,3,7,1,5,8,6,4] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[5,2,8,1,3,7,4,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[2,1,6,8,3,4,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[2,6,8,3,1,5,7,4] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[2,8,6,4,1,5,7,3] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[3,6,4,8,5,1,7,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[6,3,7,4,5,1,8,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,6,3,7,5,8,1,4] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[5,2,1,7,8,3,4,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[4,7,2,3,6,8,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[5,2,7,3,6,8,1,4] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,7,4,6,2,8,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,3,8,4,6,1,7,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,5,2,4,1,6,7,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[8,2,3,5,1,6,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,2,8,3,6,7,1,5] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[2,4,8,1,7,3,5,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[8,4,1,3,6,2,5,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,2,8,4,7,1,6,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,8,4,7,3,1,6,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[4,6,8,3,1,7,5,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[6,3,8,2,7,1,5,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,3,8,1,2,6,4,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,5,4,1,2,6,3,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[1,6,2,8,5,3,7,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[6,8,5,3,1,7,4,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,5,1,2,6,3,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,6,3,7,1,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[1,6,3,7,2,8,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[4,5,7,8,3,1,6,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[8,1,3,4,6,2,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[3,8,2,4,6,7,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,5,6,8,2,7,1,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[2,4,5,6,8,1,7,3] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[5,6,2,3,7,8,1,4] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,8,4,7,1,5,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,4,8,7,2,6,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,4,8,7,1,6,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,8,7,6,1,2,4] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[4,3,8,7,6,1,2,5] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[4,8,3,7,5,1,2,6] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[8,3,4,6,5,1,2,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[3,8,4,7,5,1,2,6] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[3,4,8,7,6,1,2,5] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[3,5,8,7,6,1,2,4] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[4,5,8,7,6,1,2,3] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[4,5,8,7,1,6,3,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,8,2,7,6,4,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[3,5,8,1,7,6,4,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[2,5,8,1,7,6,4,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[2,5,8,7,1,6,3,4] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,4,8,7,1,6,3,5] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,4,7,1,5,3,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[8,2,4,6,1,5,3,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,1,4,6,2,5,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[1,8,4,7,2,5,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,5,8,2,7,6,4,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[2,5,8,3,7,6,4,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,2,1,1,1] => 3

[1,4,2,8,7,6,5,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [3,1,1,1,1,1] => 3

[1,8,3,2,7,5,4,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[8,1,3,2,6,5,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[8,2,3,1,6,5,4,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[2,3,8,1,7,6,4,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,4,1,8,7,6,5,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[4,3,1,8,7,6,5,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[4,2,1,8,7,6,5,3] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[8,3,2,1,6,5,4,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,4,2,6,1,5,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,8,7,1,6,3,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,2,8,7,1,6,3,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,2,8,1,7,6,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,3,8,1,7,6,4,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,3,8,2,7,6,4,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[6,8,3,1,7,5,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,8,2,1,7,5,4,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,8,2,7,1,5,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,5,6,1,2,4,3,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,8,7,1,2,4,3,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[6,8,1,2,7,5,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[6,8,2,3,7,5,4,1] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,1,1,1] => 3

[5,2,8,3,7,6,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[5,1,8,3,7,6,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[4,8,1,7,2,5,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[8,4,1,6,2,5,3,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,3,1,2,6,5,4,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[3,8,1,2,7,5,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[3,1,8,2,7,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[3,1,2,8,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,1,1,1,1,1] => 3

[4,1,3,8,7,6,5,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,1,1,1,1,1] => 3

[3,1,4,8,7,6,5,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,1,1,1,1,1] => 3

[2,1,8,3,7,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,8,1,3,7,5,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[8,2,1,3,6,5,4,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[1,2,8,3,7,6,4,5] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[1,4,3,6,8,2,5,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[3,5,1,8,2,4,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[1,4,5,2,8,3,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,4,2,6,5,8,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,5,4,2,6,8,3,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,6,4,2,5,8,3,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,5,2,6,4,8,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,2,5,4,7,3,8,6] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[4,1,2,6,3,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[7,1,3,5,2,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[7,2,5,1,8,3,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,6,4,2,8,3,7,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,4,2,8,3,7,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,2,5,3,8,7,6,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [4,1,1,1,1] => 4

[1,2,8,6,5,3,7,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [4,1,1,1,1] => 4

[1,5,2,8,6,3,7,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,6,4,2,8,7,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[6,2,1,8,7,3,4,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,6,2,1,8,3,4,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,3,1,6,2,8,4,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[1,7,6,4,2,8,3,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,7,5,2,6,3,8,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,6,2,7,5,3,8,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,2,7,6,5,3,8,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [4,1,1,1,1] => 4

[1,2,6,5,3,8,7,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[1,5,2,6,3,8,7,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,5,2,7,6,3,8,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,6,5,2,7,3,8,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[4,1,2,8,6,3,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[4,3,7,1,8,2,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,4,2,8,7,3,6,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,7,4,2,8,3,6,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[8,5,3,1,7,2,4,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,6,2,1,7,3,4,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[1,8,6,4,2,7,3,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,8,5,2,6,3,7,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,5,2,7,3,8,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,2,8,5,3,7,6,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[1,2,6,3,8,7,5,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [4,1,1,1,1] => 4

[1,2,7,6,3,8,5,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[1,6,2,7,3,8,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,7,2,8,5,3,6,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,7,4,2,8,6,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[7,2,1,8,6,3,4,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[1,8,7,3,2,6,4,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,4,2,8,7,6,3,5] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[1,2,8,7,5,3,6,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [4,1,1,1,1] => 4

[1,2,8,6,3,7,5,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[1,2,7,3,8,6,5,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [4,1,1,1,1] => 4

[4,1,7,3,6,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[5,1,8,7,6,2,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,1,7,6,3,4,5,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[5,7,8,6,2,4,1,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[5,7,1,6,2,4,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,4,1,5,2,7,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,1,4,5,3,7,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[6,1,4,5,3,8,7,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[5,1,7,8,6,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,8,6,3,4,5,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[7,1,4,5,3,8,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[7,4,1,5,2,6,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,3,5,7,2,1,4,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[6,3,5,8,2,1,7,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[6,3,5,7,2,1,8,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[5,8,7,6,2,4,1,3] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,8,6,3,1,7,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,1,6,2,4,3,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[8,4,1,5,2,6,3,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,3,5,8,2,1,4,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[2,3,4,1,8,6,5,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[8,3,5,6,2,1,4,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[2,3,8,5,1,4,7,6] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,8,6,1,5,7,4] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[2,8,6,7,1,3,5,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[8,3,5,7,2,1,6,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[2,3,8,5,6,1,7,4] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[7,4,5,6,3,1,8,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[8,4,5,6,3,1,7,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[7,3,5,8,2,1,6,4] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[7,3,5,6,2,1,4,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[2,7,6,5,1,3,4,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[2,7,6,8,1,3,5,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[8,7,5,6,1,4,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[2,6,4,1,8,5,7,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,6,1,3,8,5,7,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[2,7,1,3,6,5,8,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[2,7,6,8,4,3,1,5] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1] => 3

[7,3,5,1,2,8,4,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,8,1,6,3,4,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,4,1,8,3,2,7,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[2,3,8,6,4,1,7,5] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[2,8,6,7,4,3,1,5] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1] => 3

[2,3,4,1,8,7,5,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,3,8,1,6,4,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,3,8,1,4,5,7,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[1,2,3,4,5,6,7,9,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [8,1] => 8

[2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,1] => 8

[1,2,3,4,5,6,7,8,10,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [9,1] => 9

[2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[1,2,3,4,5,6,7,8,9,11,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [10,1] => 10

[2,8,1,3,4,5,6,7,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[2,10,1,3,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[2,1,3,4,5,6,7,8,9,10,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [10,1] => 10

[8,4,3,6,5,1,7,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,6,3,4,1,7,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,6,5,4,3,1,7,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[1,7,6,5,4,2,3,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[1,8,6,5,2,7,3,4] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[8,7,5,4,1,6,3,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[7,8,5,4,1,3,6,2] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,8,5,4,2,1,7,3] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[3,2,8,6,5,1,7,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[3,2,1,7,6,4,5,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,1,3,7,6,2,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[6,1,7,5,3,2,4,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,2,7,6,3,4,5,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1] => 6

[1,2,8,3,7,4,5,6] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[8,1,7,2,6,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,8,2,6,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[4,1,3,8,2,7,5,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,2,1,8,4,7,5,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,2,8,7,1,6,5,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,8,2,7,1,6,5,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,8,7,2,1,6,4,3] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,8,7,1,3,5,4,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[8,7,6,1,5,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[1,8,7,2,6,5,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[8,6,7,1,4,5,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[7,6,8,1,4,3,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,5,8,3,2,1,7,4] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,8,3,1,4,6,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,5,7,3,1,6,4,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,5,4,8,2,7,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[8,4,3,7,1,6,5,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,4,3,8,1,5,6,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,4,3,1,5,2,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,4,3,1,2,6,5,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,4,3,1,2,5,7,6] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[1,5,4,2,3,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[7,5,1,4,2,6,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,5,1,4,3,2,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,6,1,3,4,2,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,2,6,1,5,4,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,7,1,4,6,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,7,2,1,3,6,5,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[5,7,1,3,2,6,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,7,1,2,4,5,3,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[7,6,1,2,5,4,3,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[1,7,2,3,6,4,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[8,7,1,2,3,6,5,4] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[7,8,1,2,3,5,6,4] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[6,8,1,2,4,3,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,8,1,3,2,4,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[4,8,2,1,3,5,7,6] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[4,1,3,2,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[5,1,2,4,3,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[6,1,2,3,5,4,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[7,1,2,3,4,6,5,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[8,1,2,3,4,5,7,6] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,1,1] => 6

[6,7,3,8,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,7,4,5,1,8,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,3,7,8,6,1,2,4] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[3,8,4,5,7,1,2,6] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[3,4,8,6,7,1,2,5] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[4,5,6,7,1,8,3,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[3,5,6,2,7,4,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[3,5,6,1,7,8,4,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[2,5,6,1,8,7,4,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[2,5,6,8,1,7,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[8,2,4,5,1,6,3,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[1,4,8,6,2,3,7,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,5,6,8,2,3,7,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,5,6,2,8,4,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[2,5,6,3,4,7,8,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [5,2,1] => 5

[1,4,2,6,8,5,7,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[8,1,3,2,5,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,2,3,1,5,6,4,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,8,3,1,5,7,4,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,4,1,6,8,7,5,3] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[5,2,7,8,1,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,3,7,2,6,4,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,7,2,1,8,5,4,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,7,2,8,1,5,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,8,2,1,4,3,5] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,7,1,2,8,4,5,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[6,7,1,3,4,8,5,2] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4

[5,2,7,3,4,6,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[5,1,7,8,2,3,6,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[3,8,1,2,7,4,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[4,1,3,7,5,8,6,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[3,1,4,5,7,8,6,2] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,1,1,1] => 5

[2,1,8,3,4,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[1,8,2,3,4,5,7,6] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [6,1,1] => 6

[1,2,8,3,4,6,7,5] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [6,1,1] => 6

[5,2,6,1,4,8,7,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,2,6,4,1,8,7,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,2,7,4,8,1,6,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,7,2,3,8,6,1,4] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[5,6,2,3,1,8,7,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,1,6,4,2,8,7,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[5,6,1,3,2,8,7,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[5,6,3,2,1,8,7,4] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,7,3,2,8,1,6,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,7,3,2,8,6,1,4] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,7,3,8,2,1,5,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[6,7,3,8,1,2,5,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,7,1,3,8,2,6,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,1,7,4,8,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[1,5,7,4,8,3,6,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[1,5,7,4,8,6,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [3,2,1,1,1] => 3

[5,7,1,3,8,6,2,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[6,7,3,8,1,5,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,3,8,5,2,1,4] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[6,7,8,3,1,4,2,5] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,7,1,8,3,5,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,1,7,8,4,5,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[1,6,7,8,4,3,5,2] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [4,2,1,1] => 4

[6,1,7,8,4,2,5,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[6,7,1,8,3,2,5,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[6,7,2,8,1,3,5,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,7,2,8,3,5,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,2,7,8,4,1,5,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,7,8,1,4,5,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[5,2,7,1,8,4,6,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,2,1,7,8,5,6,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[6,2,7,8,1,5,4,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[6,2,7,8,5,1,4,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[6,7,2,8,5,3,1,4] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[5,7,1,2,8,6,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[5,1,7,2,8,6,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[1,5,7,3,8,6,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,2,1,1,1] => 3

[6,1,7,8,2,5,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[6,7,1,8,2,5,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,7,1,8,5,2,3,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,1,7,8,5,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[1,6,7,8,5,3,4,2] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [4,2,1,1] => 4

[6,7,1,8,5,3,2,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[6,7,8,4,1,3,2,5] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,3,8,5,2,7,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,3,4,5,8,7,2,1] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,1,1,1,1] => 4

[5,6,1,4,8,7,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[3,6,4,8,5,7,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[3,4,7,1,8,6,5,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[6,3,8,4,2,7,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,3,7,1,6,8,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,6,1,2,7,8,5,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[3,6,4,2,8,7,5,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[6,3,7,5,2,8,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,7,1,4,8,3,2,6] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[7,8,3,5,1,4,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,8,1,4,6,7,2,3] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[6,5,8,4,3,7,2,1] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[6,3,7,4,2,8,5,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,8,6,7,1,4,5,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[5,3,8,7,4,1,2,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[4,3,8,7,1,5,6,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[8,3,6,1,2,5,7,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[5,6,1,8,7,3,2,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[7,5,3,6,4,2,8,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[8,2,6,3,4,7,5,1] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,1,1,1,1] => 4

[7,2,6,3,5,4,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[3,7,6,4,5,2,8,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[2,7,6,5,3,4,8,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [4,1,1,1,1] => 4

[6,5,4,3,1,8,2,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,6,5,4,2,7,3,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 2

[7,8,5,3,2,6,4,1] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[1,8,6,3,7,5,2,4] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[8,7,5,2,6,4,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[8,7,1,6,2,5,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,8,1,6,3,2,5,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,8,1,3,7,2,6,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,2,8,5,7,3,6,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[1,7,3,8,4,5,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[7,6,1,8,4,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,6,1,7,4,2,5,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,1,2,7,3,4,6,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[7,1,2,8,3,5,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,2,6,1,7,3,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,1,5,8,3,6,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,4,3,1,6,8,2,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[4,7,5,6,8,3,2,1] => [[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [4,1,1,1,1] => 4

[6,5,4,8,2,7,3,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,5,1,8,7,4,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,4,8,1,7,2,6,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,6,8,2,4,7,5,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[2,3,8,7,4,5,6,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [5,1,1,1] => 5

[7,2,8,6,4,3,5,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 3

[8,2,7,6,3,5,4,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[8,1,7,6,5,2,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[7,1,8,6,5,3,2,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[1,2,8,7,6,3,4,5] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [5,1,1,1] => 5

[6,8,7,2,5,4,3,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[3,8,7,6,4,5,2,1] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [3,1,1,1,1,1] => 3

[2,8,7,6,5,3,4,1] => [[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [3,1,1,1,1,1] => 3

[1,8,7,6,5,4,2,3] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [3,1,1,1,1,1] => 3

[5,8,6,7,3,4,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,8,6,7,3,5,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,8,6,7,4,5,1,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,8,6,7,4,5,1,3] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[1,8,6,7,4,5,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,8,5,7,4,6,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[3,8,5,7,4,6,1,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[4,8,5,7,3,6,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[7,8,3,6,4,5,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,8,3,7,4,5,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,8,3,7,4,6,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,7,4,8,5,6,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[4,7,3,8,5,6,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,7,2,8,5,6,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,7,1,8,5,6,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,7,1,8,5,6,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,7,2,8,5,6,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[2,7,3,8,5,6,1,4] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,7,4,8,5,6,1,3] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[5,8,2,7,4,6,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,8,2,7,4,5,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[7,8,2,6,4,5,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[7,8,1,6,4,5,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,8,1,7,4,5,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,8,1,7,4,6,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,7,4,8,5,6,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,7,3,8,5,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[2,8,5,6,1,7,3,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[1,8,5,6,2,7,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,7,3,8,4,6,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[4,8,1,7,3,6,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,8,1,7,3,6,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,8,1,7,3,5,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,8,2,6,3,5,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,8,2,7,3,5,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,8,2,7,3,6,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,8,2,7,3,6,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[2,7,3,8,4,6,1,5] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[3,7,2,8,4,6,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,7,1,8,4,6,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,8,4,7,3,6,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[2,8,4,7,3,6,1,5] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[3,8,4,7,2,6,1,5] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,8,5,7,2,6,1,3] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,8,5,7,2,6,1,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[2,8,5,7,3,6,1,4] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[1,8,5,7,3,6,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,8,6,7,3,5,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[2,8,6,7,3,5,1,4] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[3,8,6,7,2,5,1,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,8,6,7,2,5,1,3] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[5,8,6,7,2,4,1,3] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[6,8,5,7,1,4,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,6,7,1,4,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,8,6,7,1,5,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,8,6,7,1,5,2,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[1,5,2,8,6,7,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[2,5,1,8,6,7,3,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,6,1,8,5,7,3,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,6,2,8,5,7,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[3,8,5,7,1,6,2,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[6,8,4,7,1,5,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,8,4,6,1,5,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,8,3,6,1,5,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,8,3,7,1,5,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,8,3,7,1,6,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,8,4,7,1,6,2,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[1,6,2,8,4,7,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[2,6,1,8,4,7,3,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,7,2,6,1,8,4,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,7,1,6,2,8,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,8,1,6,2,7,3,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,8,1,6,2,7,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,8,1,5,2,6,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,8,2,5,1,6,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,8,2,5,1,7,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,2,6,1,7,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,8,2,6,1,7,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[1,7,3,6,2,8,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[2,7,3,6,1,8,4,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[1,2,3,4,5,6,7,8,9] => [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9] => 9

[1,2,3,4,5,6,8,9,7] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [8,1] => 8

[1,2,3,4,5,7,8,9,6] => [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [8,1] => 8

[1,2,3,4,6,7,8,9,5] => [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [8,1] => 8

[1,2,3,5,6,7,8,9,4] => [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [8,1] => 8

[1,2,4,5,6,7,8,9,3] => [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [8,1] => 8

[1,3,4,5,6,7,8,9,2] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [8,1] => 8

[1,2,3,4,5,6,7,8,9,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10] => 10

[1,2,3,4,5,6,9,8,7] => [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [7,1,1] => 7

[1,2,3,4,5,6,7,9,10,8] => [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [9,1] => 9

[1,2,3,4,5,8,7,9,6] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [7,1,1] => 7

[1,2,3,4,5,6,8,9,10,7] => [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [9,1] => 9

[1,2,3,4,7,6,8,9,5] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1] => [7,1,1] => 7

[1,2,3,4,5,7,8,9,10,6] => [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [9,1] => 9

[1,2,3,6,5,7,8,9,4] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [7,1,1] => 7

[1,2,3,4,6,7,8,9,10,5] => [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [9,1] => 9

[1,2,5,4,6,7,8,9,3] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [7,1,1] => 7

[1,2,3,5,6,7,8,9,10,4] => [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [9,1] => 9

[1,4,3,5,6,7,8,9,2] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [7,1,1] => 7

[1,2,4,5,6,7,8,9,10,3] => [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [9,1] => 9

[3,2,4,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [7,1,1] => 7

[1,3,4,5,6,7,8,9,10,2] => [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [9,1] => 9

[6,7,4,8,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,7,4,5,2,8,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,4,6,2,3,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,4,6,3,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,4,8,3,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,4,5,3,7,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,4,6,3,7,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,4,8,3,7,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,3,7,2,4,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,3,7,2,8,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,3,8,2,7,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,4,8,2,7,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,4,6,2,7,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,4,5,2,7,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,4,5,2,6,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,4,5,2,3,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,4,6,2,3,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,4,8,2,3,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,3,8,2,4,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,6,3,4,2,8,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,6,3,5,2,7,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,6,3,5,2,8,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,6,3,8,2,5,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,8,3,6,2,5,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,3,6,2,4,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,3,5,2,4,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,3,5,2,4,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,3,5,2,6,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,3,6,2,7,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,8,3,6,2,7,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,6,3,8,2,7,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,6,3,7,2,8,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,7,3,6,2,5,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,7,3,6,2,8,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,7,3,8,2,6,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,4,8,2,6,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,3,6,2,8,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,3,6,2,4,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,7,3,5,2,4,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,7,3,5,2,8,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,7,4,8,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,7,5,8,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,5,7,2,3,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,7,4,8,2,3,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,7,3,8,2,4,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,7,3,4,2,8,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,3,4,2,6,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,3,4,2,8,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,7,4,8,2,3,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,4,7,2,3,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,4,7,2,3,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,4,6,2,3,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,3,6,2,4,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,3,7,2,4,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,3,7,2,4,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,8,3,7,2,5,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,7,3,8,2,5,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,7,3,5,2,8,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,7,3,5,2,6,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,5,3,7,2,6,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,5,3,7,2,8,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,5,3,8,2,7,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,8,3,5,2,7,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,3,4,2,7,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,3,4,2,7,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[7,8,3,4,2,6,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[6,8,3,4,2,5,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[5,8,3,4,2,6,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,8,3,5,2,6,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,5,3,8,2,6,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,5,3,6,2,8,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,2,2,2] => 2

[4,8,5,2,1,7,6,3] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,6,5,2,1,3,8,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[5,6,4,2,3,1,8,7] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,6,1,3,2,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,6,8,1,7,3,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,7,8,1,6,3,5,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[7,4,8,1,6,5,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,4,8,1,3,7,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[8,4,5,3,1,7,6,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,4,7,1,3,8,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,4,8,1,7,5,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,5,7,6,4,2,1,3] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,3,2,8,7,4,1,5] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[2,1,6,8,7,4,3,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[5,7,8,6,2,3,1,4] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[5,8,7,6,3,2,1,4] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,8,7,5,3,2,4,1] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[5,8,4,2,3,7,6,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,6,1,8,7,4,2,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[3,8,1,6,7,5,2,4] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[3,7,1,6,8,2,5,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,7,4,2,8,1,5,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,8,4,2,7,5,1,3] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,6,4,3,7,5,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[5,8,6,7,3,1,2,4] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[6,7,5,8,1,3,4,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,6,5,8,1,4,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,6,5,7,4,1,3,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,4,3,8,1,5,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,2,6,8,1,5,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[2,1,7,6,8,3,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,5,6,8,1,4,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,1,3,7,4,6,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[1,6,2,5,4,7,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[6,2,7,5,4,8,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[8,1,3,5,4,7,6,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[6,1,5,4,3,8,7,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[8,1,3,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,1,1] => 6

[1,7,2,4,5,6,3,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[6,3,2,7,5,1,8,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,7,2,5,6,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,5,8,2,4,7,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[8,5,2,1,4,3,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,5,2,8,4,1,3,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,6,2,1,4,8,3,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,6,1,8,5,2,4,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[1,2,6,3,5,4,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[3,4,1,2,8,6,5,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[4,3,1,2,6,8,5,7] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[5,8,1,6,3,2,4,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,3,8,5,2,1,4,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[3,8,2,6,1,5,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[8,5,6,4,2,1,7,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,2,5,8,3,1,6,4] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[1,7,5,6,3,2,4,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[6,1,2,3,8,5,7,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[7,1,2,3,6,5,8,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[7,2,1,3,8,6,4,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[1,5,7,3,2,4,6,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[5,2,7,3,1,8,4,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,8,2,4,1,3,7,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[4,8,1,6,3,2,7,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,1,8,6,4,2,7,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[3,5,8,7,2,4,1,6] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[4,2,1,3,7,8,5,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[2,4,1,3,8,7,5,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[2,5,8,3,1,7,4,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[8,6,1,3,7,2,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,8,1,3,6,4,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,1,8,3,2,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1] => 1

[8,9,7,6,5,4,3,2,1] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[8,7,9,6,5,4,3,2,1] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[8,7,6,9,5,4,3,2,1] => [[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[8,7,6,5,9,4,3,2,1] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[8,7,6,5,4,9,3,2,1] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[8,7,6,5,4,3,9,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,1,1,1,1,1,1,1] => 2

[8,7,6,5,4,3,2,9,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,1,1,1,1,1,1,1] => 2

[8,7,6,5,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 2

[9,10,8,7,6,5,4,3,2,1] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[7,8,9,6,5,4,3,2,1] => [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,1,1,1,1,1,1] => 3

[9,8,10,7,6,5,4,3,2,1] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[8,6,7,9,5,4,3,2,1] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [3,1,1,1,1,1,1] => 3

[9,8,7,10,6,5,4,3,2,1] => [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[9,8,7,6,10,5,4,3,2,1] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[9,8,7,6,5,10,4,3,2,1] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[9,8,7,6,5,4,10,3,2,1] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[9,8,7,6,5,4,3,10,2,1] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[8,7,6,5,4,3,1,2,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[9,8,7,6,5,4,3,2,10,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,1,1,1,1,1,1,1,1] => 2

[9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[1,6,2,4,8,5,3,7] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,6,2,4,7,5,3,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,7,3,8,5,2,4,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,7,3,2,8,6,4,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[4,2,5,7,8,6,1,3] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[7,2,3,1,8,5,6,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,2,5,1,7,3,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,2,8,3,5,1,7,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[1,3,6,4,8,5,7,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [5,1,1,1] => 5

[1,3,6,4,7,5,8,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [5,1,1,1] => 5

[6,2,1,3,7,8,4,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[7,6,4,2,3,1,8,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[5,7,2,3,1,6,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,5,4,2,6,8,1,3] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[1,7,5,3,4,6,8,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,1,1,1] => 5

[8,2,5,4,6,7,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,2,6,3,1,8,7,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,2,6,4,3,1,7,5] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[8,2,7,4,1,3,5,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[1,2,8,4,3,5,6,7] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1] => 6

[1,7,4,2,3,5,6,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[1,8,7,4,3,2,5,6] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[5,3,8,1,2,7,4,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,7,3,1,2,6,4,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[1,7,5,4,2,6,3,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,4,6,2,8,3,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[5,3,1,6,7,2,4,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,3,6,1,2,8,4,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[1,6,3,2,7,8,4,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,7,4,5,3,8,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[6,3,1,4,2,7,5,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[1,8,3,2,4,5,6,7] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[8,6,3,2,4,1,7,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,3,2,6,7,1,4] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[4,2,5,6,7,8,1,3] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[5,2,3,6,7,1,8,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[6,2,3,4,1,7,8,5] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[8,6,1,4,3,2,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,3,1,6,5,2,4,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,1,5,2,8,7,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[8,1,2,5,4,6,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[8,2,6,5,1,3,4,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,3,1,6,2,5,4,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,1,2,6,4,5,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[8,1,2,5,6,4,3,7] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[1,7,5,4,2,8,3,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[5,1,4,8,2,7,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,1,4,7,2,8,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[1,7,4,5,2,8,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[3,7,5,1,2,8,4,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[5,7,2,8,1,3,4,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,2,8,7,1,3,4,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[4,1,5,8,2,7,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[1,4,2,8,6,7,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[3,1,2,6,4,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[1,2,3,6,8,5,7,4] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [5,2,1] => 5

[1,4,2,7,6,8,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,4,2,6,8,7,3,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[3,1,2,7,6,4,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[5,3,7,1,8,2,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,8,7,2,1,3,5,6] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[1,8,7,3,4,2,5,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[3,1,7,8,2,6,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[1,4,2,7,8,3,6,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,4,2,6,8,3,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,2,3,7,8,5,6,4] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [5,2,1] => 5

[1,2,3,7,5,8,6,4] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [5,1,1,1] => 5

[1,4,2,7,3,8,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[3,1,7,2,8,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,1,7,8,3,4,6,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[1,2,3,8,7,5,6,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [5,1,1,1] => 5

[10,1,2,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[10,9,1,2,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[11,1,2,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [10,1] => 10

[2,9,10,1,3,4,5,6,7,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[4,7,8,5,6,2,1,3] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[8,6,3,7,2,1,5,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,3,8,2,1,5,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,7,8,3,2,1,5,4] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[4,7,8,3,2,1,5,6] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[5,7,8,3,2,1,4,6] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[8,6,3,7,2,1,4,5] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[8,4,3,2,1,6,5,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[6,4,3,2,1,7,5,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[6,4,3,2,1,8,5,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,4,3,2,1,8,6,5] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[6,4,3,2,1,8,7,5] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[8,5,4,2,6,7,1,3] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,5,3,2,6,1,7,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,3,2,6,1,8,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[3,5,4,2,7,8,1,6] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[7,4,3,2,1,5,8,6] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[6,4,3,2,1,5,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[5,6,3,4,1,2,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[8,5,3,7,2,6,4,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,5,8,4,2,6,1,3] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,1,7,8,5,6,3,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,7,3,8,1,6,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,5,2,4,1,7,6,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,2,1,5,7,3,6,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[4,2,5,8,3,1,6,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[4,1,5,8,3,2,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,3,8,5,2,1,6,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[4,7,3,5,2,1,6,8] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[4,3,2,7,5,1,6,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[4,3,6,2,5,1,7,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,6,3,2,5,1,7,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,6,7,1,3,2,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[4,5,1,7,3,2,6,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,5,1,3,7,2,6,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,5,1,4,2,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,3,1,4,2,7,6,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,3,1,5,7,2,6,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[4,3,1,7,5,2,6,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,3,6,1,5,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,3,6,4,1,2,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[4,3,6,1,7,2,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,3,4,1,2,7,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,2,4,1,3,7,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[3,6,4,1,2,7,5,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[5,3,6,2,1,4,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,6,2,7,1,3,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,5,2,7,3,1,6,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,2,6,1,4,7,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[3,6,2,1,4,7,5,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,5,2,7,4,6,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,7,2,4,8,5,1,6] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[7,3,1,4,6,8,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[3,2,6,1,5,7,4,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,6,2,1,5,7,4,8] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[6,3,2,1,5,7,4,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,4,2,1,5,3,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,2,6,1,5,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,2,1,7,5,3,6,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,4,1,5,6,2,3,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,3,1,5,2,6,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,2,5,1,3,7,8,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[6,3,5,1,2,7,4,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,4,5,1,7,2,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,2,6,4,1,3,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[3,6,5,1,2,7,4,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[6,5,2,1,4,7,8,3] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[6,5,3,1,4,7,2,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[2,3,1,8,5,4,7,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[2,4,1,5,8,3,7,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,4,5,1,2,8,7,6] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[3,4,5,1,8,2,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,4,5,8,2,1,7,6] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[3,4,6,2,1,7,8,5] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[3,4,6,2,1,7,5,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[2,4,8,6,3,7,1,5] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[1,8,4,6,3,7,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[3,4,6,2,8,7,5,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[3,5,6,8,7,2,4,1] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [4,2,1,1] => 4

[2,5,8,6,7,3,4,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[2,5,8,6,7,3,1,4] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,1,1] => 4

[3,5,6,8,7,2,1,4] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [4,2,1,1] => 4

[4,5,6,7,2,1,8,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[2,3,1,8,6,7,4,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,5,1,6,7,4,8,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[2,5,1,6,7,4,3,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[3,5,6,1,7,4,2,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,5,6,1,7,4,8,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,4,6,1,8,7,5,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[3,4,6,8,1,7,5,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[2,4,8,6,1,7,5,3] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,5,6,7,8,1,3,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[4,5,6,7,1,3,8,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[4,5,6,7,1,3,2,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[4,5,6,7,3,1,8,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[2,5,8,6,7,4,1,3] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,1,1] => 4

[8,2,5,3,7,1,6,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,4,3,7,1,6,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,8,2,4,3,7,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,2,5,6,1,8,3,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,2,5,6,1,7,3,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,1,5,7,3,2,4,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[6,1,5,8,3,2,4,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,3,5,6,7,1,8,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,7,1,5,6,8,2,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,7,1,5,8,2,4,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,2,5,1,7,4,6,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,5,1,8,4,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,5,1,7,8,4,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,1,5,7,8,3,2,4] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[4,2,5,6,1,7,8,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[5,7,6,1,8,3,4,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,8,6,1,7,3,4,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,1,5,8,7,3,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[8,7,3,2,4,6,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[3,2,5,1,8,7,4,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,5,1,6,4,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,4,1,8,7,5,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,5,1,6,8,7,4] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,8,6,5,1,7,4,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,7,6,5,1,8,4,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,1,7,8,4,2,3] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[3,2,5,1,6,7,8,4] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[3,2,4,1,8,5,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,4,1,7,5,6,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,4,1,6,8,5,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,2,4,1,8,5,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,5,1,8,4,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,5,1,6,7,4,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,5,1,7,4,2,3,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,5,1,8,4,2,3,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,2,6,1,8,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,6,1,8,3,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,4,6,1,7,3,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,2,6,1,8,4,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,5,1,6,4,2,3,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,5,1,6,4,2,3,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,2,5,1,7,6,4,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,5,1,8,6,4,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,6,1,5,7,3,2,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[4,2,6,1,8,5,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,5,6,1,7,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,6,8,5,1,7,4,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,5,1,6,7,4,2,3] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[3,2,5,1,8,6,7,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,2,4,1,8,6,5,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,4,1,5,8,6,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[3,2,5,1,7,8,6,4] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[3,8,5,1,7,6,4,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,7,5,1,8,6,4,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,7,5,1,6,4,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[3,2,5,1,8,7,6,4] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,5,7,3,1,8,4,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,6,3,7,1,8,5,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[4,2,6,1,7,5,3,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[2,5,7,4,1,6,3,8] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,5,7,4,1,6,8,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[5,4,7,3,6,1,8,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,7,8,3,1,6,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[4,3,7,5,1,8,6,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,3,8,5,1,7,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,4,3,6,1,7,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,8,3,6,1,7,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,3,6,7,1,8,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[2,5,4,6,1,7,3,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,2,5,8,1,6,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[2,5,4,6,8,1,7,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[5,2,8,4,1,6,7,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[2,4,1,7,5,8,6,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[2,4,1,7,5,3,8,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,4,8,2,1,6,3,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[2,5,8,4,1,6,3,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[3,2,5,6,1,8,4,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,8,3,2,6,1,5,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[3,5,2,8,1,6,4,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,2,1,6,8,5,4,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[3,2,7,1,5,4,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,7,1,5,8,6,4] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,8,2,5,1,6,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,3,8,2,6,7,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[4,3,7,2,6,8,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[2,5,7,4,8,1,6,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[3,2,5,7,8,1,6,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,2,5,7,1,6,8,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[3,2,5,7,1,6,4,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,3,2,7,1,5,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,2,7,1,5,8,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,3,2,7,8,1,5,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,2,6,1,7,8,5,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[6,5,2,1,7,8,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[2,1,7,5,3,8,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[6,2,1,8,5,3,7,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,3,2,7,1,4,8,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,3,2,1,4,7,8,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[6,3,2,1,4,7,5,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[3,5,2,1,7,8,4,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[2,4,1,7,3,8,6,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[3,2,7,1,4,8,6,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,5,8,2,1,7,4,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,8,3,7,2,1,5,6] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[4,3,7,2,8,1,5,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,3,7,2,1,5,6,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[4,8,3,2,7,1,5,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[3,5,2,8,1,7,4,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,3,2,8,1,4,7,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[5,3,2,1,8,4,6,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,8,3,2,1,5,6,7] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[4,3,8,2,1,5,6,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [2,1,1,1,1,1,1,1] => 2

[1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [2,1,1,1,1,1,1,1,1] => 2

[10,9,8,7,6,5,4,3,2,1,11] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,1,1,1,1,1,1,1,1,1] => 2

[1,11,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [2,1,1,1,1,1,1,1,1,1] => 2

[6,2,3,1,5,4,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,4,5,2,3,1,7,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,6,7,2,5,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,2,5,3,4,1,7,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,5,3,4,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,1,5,2,4,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,4,5,1,3,2,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,1,5,3,4,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,3,5,1,4,2,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,5,2,4,1,7,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,3,7,5,6,2,4,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,3,7,2,4,1,6,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,3,5,1,4,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,5,3,4,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,4,5,1,3,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,1,8,4,5,3,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,6,7,4,5,1,3,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,6,7,1,5,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,6,7,3,5,1,4,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,3,7,5,6,1,4,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,5,7,3,6,1,4,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,3,7,4,6,2,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,3,7,4,6,1,5,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,3,7,1,6,4,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,1,7,3,6,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[8,1,7,5,6,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[8,4,7,5,6,1,3,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,1,8,4,7,5,6,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[8,1,7,3,4,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,7,3,6,2,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,3,7,1,6,2,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,7,2,6,4,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,2,7,3,6,4,5,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,2,7,3,6,1,5,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,7,1,6,3,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,7,2,4,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,3,2,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[2,1,8,3,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,5,2,4,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,2,7,1,4,3,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,2,7,3,4,1,6,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,7,5,6,3,4,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[8,4,7,5,6,2,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,4,7,2,3,1,6,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,2,3,1,7,4,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,2,3,1,5,4,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,3,1,8,5,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,1,3,2,8,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,6,7,2,3,1,5,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,2,3,1,7,5,6,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,5,7,2,6,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,5,7,2,6,1,4,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,2,7,5,6,1,4,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,6,7,2,5,1,4,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,6,7,1,5,2,4,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,6,7,1,3,2,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,1,8,6,7,3,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,8,3,7,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,1,3,2,7,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,1,7,5,6,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,7,2,6,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,2,7,1,6,4,5,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,2,7,4,6,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,7,4,6,3,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[8,4,7,2,6,3,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,4,7,2,6,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,4,7,1,6,2,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,7,4,6,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,5,7,1,6,2,4,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,1,8,5,7,3,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,5,7,4,6,1,3,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,5,7,1,6,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,1,7,4,6,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[8,4,7,1,6,3,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,4,7,3,6,1,5,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,4,8,3,6,1,7,5] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[6,5,8,1,3,2,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,5,8,7,3,1,2,4] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[1,7,2,8,4,6,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[2,6,1,8,4,5,7,3] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[2,8,4,6,1,5,7,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[6,3,1,8,4,5,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[2,3,6,8,4,5,7,1] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [5,2,1] => 5

[6,3,7,8,4,1,5,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[1,3,7,8,4,6,5,2] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [4,2,1,1] => 4

[7,6,1,8,4,2,5,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[2,8,3,7,1,6,5,4] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,2,7,8,1,4,6,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[1,2,7,8,5,4,6,3] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [4,2,1,1] => 4

[6,2,8,5,4,3,1,7] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[2,8,3,5,4,1,6,7] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[2,8,4,5,3,1,6,7] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[6,4,8,5,2,3,1,7] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,3,5,8,2,4,6,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[5,7,1,8,3,4,6,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[3,7,5,8,1,4,6,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[1,6,8,5,4,3,2,7] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [3,2,1,1,1] => 3

[4,6,8,5,1,3,2,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[5,6,8,1,4,3,2,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,4,8,3,6,5,1,7] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[2,8,4,1,5,6,3,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[4,1,8,3,5,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,6,8,4,1,3,2,7] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,6,8,1,5,3,2,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[1,6,8,4,5,3,2,7] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[2,7,3,8,4,6,5,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[7,1,3,8,4,6,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[2,8,7,4,1,6,5,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,8,5,4,3,1,6,7] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[6,5,8,4,2,3,1,7] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[4,1,3,2,8,5,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[6,4,8,2,5,3,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[2,8,4,3,5,1,6,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,8,3,4,5,1,6,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[4,2,3,1,8,5,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,1,3,2,4,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[2,8,1,5,3,4,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[1,2,8,4,5,3,7,6] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[8,1,5,3,2,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,8,1,5,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,5,1,4,8,2,6,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[1,2,8,5,4,3,6,7] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [5,1,1,1] => 5

[5,1,2,7,4,8,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[8,3,5,1,4,7,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,8,1,5,4,7,3,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,2,4,8,7,5,3,6] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => [4,2,1,1] => 4

[2,8,1,4,3,7,6,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[6,4,1,2,8,7,3,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[3,6,4,8,1,7,2,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[7,6,1,4,2,8,3,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,1,6,2,8,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[6,7,1,4,2,8,3,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,3,7,1,4,8,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,7,8,1,5,2,4,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[7,1,2,8,5,3,4,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[1,7,2,8,4,5,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[6,1,2,8,4,3,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[6,7,1,3,2,4,8,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,8,1,3,7,2,4,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,8,1,7,3,5,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,2,8,1,7,3,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,8,1,7,4,3,6,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,1,2,8,4,3,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[2,8,1,7,5,3,4,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[8,3,7,1,5,2,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,8,6,1,4,7,2,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[8,6,1,4,2,7,3,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,1,6,2,7,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,4,1,2,8,6,3,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[3,7,4,8,1,6,2,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,4,8,7,1,6,2,5] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[4,2,8,1,7,6,3,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[2,8,1,7,6,4,3,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[7,8,3,4,1,6,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,3,4,1,8,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,3,4,1,7,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,3,4,1,5,2,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,7,3,4,1,6,2,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,6,2,7,3,4,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,6,2,8,3,5,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,8,3,5,1,6,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,6,2,4,1,7,3,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,5,1,7,3,8,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,6,2,7,3,8,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,6,2,7,3,8,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,6,2,7,4,8,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,6,3,8,4,7,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,6,2,8,3,7,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,5,1,7,3,6,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[9,2,1,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[10,2,1,3,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[4,2,3,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [7,1,1] => 7

[3,4,2,5,6,7,8,9,1] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [6,2,1] => 6

[3,2,4,5,6,7,8,9,10,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,1,1] => 8

[2,3,4,5,6,7,8,9,10,11,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,1] => 10

[6,5,3,2,1,4,8,7] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[4,6,3,5,2,1,8,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[8,7,3,5,2,4,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[3,6,1,4,5,2,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[8,3,7,4,5,2,1,6] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[8,7,3,5,1,4,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[2,1,6,8,5,7,4,3] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[6,8,3,5,1,7,4,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,1,8,4,7,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[4,3,8,1,5,6,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[4,8,1,3,5,6,7,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[5,8,7,4,1,6,3,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,8,3,6,1,4,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,8,3,6,1,2,7,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,8,7,4,1,6,2,5] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[3,8,1,2,5,6,7,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[8,7,1,4,2,6,3,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,6,3,1,2,4,7,5] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[2,8,7,4,5,1,3,6] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[8,7,2,4,1,6,3,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,3,2,1,4,7,5] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[8,7,3,5,2,1,4,6] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[5,8,3,6,2,1,7,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[5,8,7,4,2,6,1,3] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,6,8,4,5,7,1,3] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[6,1,8,4,5,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,8,3,5,1,7,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,3,6,1,2,7,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[2,4,8,1,5,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[3,4,8,2,5,6,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[5,8,1,4,7,6,2,3] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,4,1,8,5,6,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[2,4,6,8,10,1,3,5,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,4,6,9,10,1,3,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,4,7,8,10,1,3,5,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,4,7,9,10,1,3,5,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,4,8,9,10,1,3,5,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,5,6,8,10,1,3,4,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,5,6,9,10,1,3,4,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,5,7,8,10,1,3,4,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,5,7,9,10,1,3,4,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,5,8,9,10,1,3,4,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,6,7,8,10,1,3,4,5,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,6,7,9,10,1,3,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,6,8,9,10,1,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,7,8,9,10,1,3,4,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,4,6,8,10,1,2,5,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,4,6,9,10,1,2,5,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,4,7,8,10,1,2,5,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,4,7,9,10,1,2,5,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,4,8,9,10,1,2,5,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,5,6,8,10,1,2,4,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,5,6,9,10,1,2,4,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,5,7,8,10,1,2,4,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,5,7,9,10,1,2,4,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,5,8,9,10,1,2,4,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,6,7,8,10,1,2,4,5,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,6,7,9,10,1,2,4,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,6,8,9,10,1,2,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,7,8,9,10,1,2,4,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,5,6,8,10,1,2,3,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,5,6,9,10,1,2,3,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,5,7,8,10,1,2,3,6,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,5,7,9,10,1,2,3,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,5,8,9,10,1,2,3,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,6,7,8,10,1,2,3,5,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,6,7,9,10,1,2,3,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,6,8,9,10,1,2,3,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,7,8,9,10,1,2,3,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[5,6,7,8,10,1,2,3,4,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[5,6,7,9,10,1,2,3,4,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[5,6,8,9,10,1,2,3,4,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[5,7,8,9,10,1,2,3,4,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[3,5,7,2,6,4,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[2,5,7,3,6,4,8,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[1,5,7,3,6,8,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1] => 4

[8,4,3,7,6,1,5,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[5,2,7,3,6,4,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,3,4,7,6,1,5,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,4,7,1,6,5,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,1,4,7,6,8,5,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[4,1,3,7,6,8,5,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[5,1,7,3,6,8,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[6,7,1,3,5,8,4,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[3,8,4,7,6,1,5,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[2,8,4,7,1,6,5,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,1,4,7,2,6,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[8,1,3,2,7,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[2,8,3,1,7,6,5,4] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,8,2,1,7,6,5,4] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,7,1,2,8,5,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[8,2,3,1,7,6,5,4] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,3,2,1,7,6,5,4] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[1,4,2,7,8,6,5,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [4,1,1,1,1] => 4

[8,4,2,7,1,6,5,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,7,2,1,6,4,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,5,7,2,8,6,4,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[2,5,7,1,8,6,4,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[3,5,7,1,6,8,4,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[5,4,7,6,8,1,3,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,5,7,8,1,6,4,3] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[8,5,7,1,2,6,4,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[8,4,1,7,2,6,5,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[3,4,8,7,6,1,5,2] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[4,3,8,7,6,1,5,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[5,3,7,8,6,1,4,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[6,7,2,8,1,5,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,2,7,8,1,6,4,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,8,7,1,6,5,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,2,8,1,7,6,5,4] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[1,3,8,2,7,6,5,4] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[8,3,1,2,7,6,5,4] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[8,2,1,3,7,6,5,4] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[1,2,8,3,7,6,5,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [4,1,1,1,1] => 4

[2,1,8,3,7,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[4,1,8,7,2,6,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[5,1,7,8,2,6,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[6,7,1,8,2,5,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[5,8,7,1,2,6,4,3] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,8,1,7,2,6,5,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[3,8,1,2,7,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[2,8,1,3,7,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[1,8,2,3,7,6,5,4] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [4,1,1,1,1] => 4

[8,1,2,3,7,6,5,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1] => 4

[6,7,1,8,4,5,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,7,1,5,8,2,6,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,7,1,5,8,3,6,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,6,5,1,8,3,7,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,6,5,1,8,2,7,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,4,5,7,6,2,3] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[6,4,5,1,8,7,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,4,6,1,8,7,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,5,6,1,8,7,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,5,6,1,8,2,7,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,5,6,1,8,3,7,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,4,6,1,3,8,7,5] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[3,4,6,1,2,8,7,5] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[4,3,6,1,2,8,7,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[5,3,6,1,8,2,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,2,5,7,3,6,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[6,2,5,1,8,3,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,6,1,3,8,7,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[2,3,6,1,4,8,7,5] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[4,2,5,3,1,8,7,6] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,2,4,1,3,8,7,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[7,2,1,4,3,8,6,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[8,1,2,4,3,7,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[8,1,3,4,2,7,6,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[7,3,1,4,2,8,6,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[6,3,4,1,2,8,7,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,6,4,1,2,8,7,5] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[2,6,4,1,3,8,7,5] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[2,7,1,4,3,8,6,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[3,7,1,4,2,8,6,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,7,1,3,2,8,6,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[8,1,6,7,2,3,5,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[4,7,1,2,3,8,6,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[3,7,1,2,4,8,6,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[2,7,1,3,4,8,6,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[2,6,3,1,4,8,7,5] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[6,5,2,1,8,3,7,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,1,5,2,7,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,4,2,3,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[7,4,1,2,3,8,6,5] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[6,4,2,1,3,8,7,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[5,4,2,3,1,8,7,6] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,5,2,4,1,8,7,6] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,3,2,1,4,8,7,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[7,3,1,2,4,8,6,5] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[8,1,3,2,4,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[8,1,2,3,4,7,6,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,1,1,1] => 5

[7,2,1,3,4,8,6,5] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[6,2,3,1,4,8,7,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[2,4,3,6,1,5,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,4,3,6,5,8,1,7] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,4,6,3,5,8,7,1] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,2,1,1] => 4

[2,4,6,3,5,8,1,7] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[2,4,6,1,5,3,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[4,2,6,5,3,1,8,7] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[4,2,6,5,1,8,7,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,2,6,5,8,1,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,4,6,1,5,8,3,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,4,1,6,5,8,3,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,1,4,6,5,8,3,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[2,4,1,6,5,8,7,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[2,4,6,1,5,8,7,3] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[4,2,6,5,8,3,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[2,6,4,3,8,7,5,1] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [3,1,1,1,1,1] => 3

[2,4,6,8,1,5,7,3] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[2,4,6,1,8,5,7,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,4,1,6,8,5,7,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[2,4,1,6,8,5,3,7] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,4,6,1,8,5,3,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,4,6,8,1,5,3,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,4,6,8,3,5,1,7] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[2,4,6,8,3,1,5,7] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[2,4,6,3,1,8,5,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,4,6,3,8,1,5,7] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[2,4,6,3,8,5,1,7] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[2,4,6,3,8,5,7,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[2,4,3,6,8,5,7,1] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [4,2,1,1] => 4

[2,4,3,6,8,1,5,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,4,3,1,6,8,5,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,4,1,3,6,8,7,5] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[2,4,3,6,1,8,7,5] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,4,3,6,8,1,7,5] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[2,4,6,3,8,1,7,5] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[2,4,1,6,8,3,7,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,4,6,1,8,3,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,4,6,8,1,3,7,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,4,6,8,3,1,7,5] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[4,6,2,8,5,7,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,2,4,8,7,1,3,5] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[6,4,2,8,7,5,3,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[2,6,4,8,1,7,5,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,6,4,1,8,7,5,3] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[2,6,1,4,8,7,5,3] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[2,1,6,4,8,7,5,3] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[2,6,1,4,8,7,3,5] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[6,4,2,8,7,5,1,3] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[1,6,4,7,3,8,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,3,7,4,5,8,2,6] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[6,1,7,3,4,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[2,1,7,4,5,8,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,1,4,7,3,8,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[2,8,6,3,7,1,4,5] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[6,8,1,3,7,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[6,7,1,3,8,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,3,6,1,5,8,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,6,1,4,5,8,3,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[6,5,1,3,4,8,2,7] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[1,6,2,4,8,3,5,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[8,5,1,3,7,2,4,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,4,2,1,5,8,3,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[2,5,3,4,1,8,6,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,3,5,2,1,8,6,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[2,6,4,8,7,1,3,5] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[1,6,4,8,7,2,3,5] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[2,7,8,3,6,1,4,5] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,3,2,8,7,1,5,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,2,4,8,7,1,3,6] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[5,1,4,8,7,2,3,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[4,8,2,5,1,3,7,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[4,7,2,5,1,3,8,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[8,3,2,1,5,4,6,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,3,2,1,6,4,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,4,2,5,1,6,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,2,1,5,6,4,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,3,2,1,4,6,5,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[3,8,2,1,4,5,7,6] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[3,7,2,1,4,5,8,6] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[3,2,7,1,4,6,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[3,2,8,1,4,6,7,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[3,2,8,1,4,7,6,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,8,2,1,4,7,5,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,8,2,1,5,7,4,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,8,2,5,1,7,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,7,2,5,1,8,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,7,2,1,5,8,4,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,7,2,1,4,8,5,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,2,7,1,6,8,4,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,7,6,1,8,3,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,8,6,1,7,3,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,2,8,1,6,7,4,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,2,8,1,7,4,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,8,1,6,4,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,7,1,6,4,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,7,6,1,3,8,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[4,2,8,6,1,3,7,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[4,2,8,7,1,3,6,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[3,2,6,1,8,4,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,7,3,8,5,1,2,6] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[4,3,7,8,6,1,2,5] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[3,2,7,1,8,6,4,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,1,6,8,5,7,4] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[3,2,6,1,8,7,4,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,2,6,8,1,7,3,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,3,6,8,7,1,2,5] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[4,2,6,7,1,8,3,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,2,6,1,7,8,4,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,6,8,7,5,1,2] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,2,1,1] => 4

[3,1,8,5,4,2,6,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,2,7,5,4,8,6,3] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [4,1,1,1,1] => 4

[6,8,3,5,4,7,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[1,6,2,5,4,8,7,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[7,1,2,5,8,3,6,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,8,2,5,7,3,6,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[4,1,6,2,8,7,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[7,8,1,2,4,6,5,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[4,3,6,1,8,2,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,3,8,5,4,1,6,7] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[4,8,1,5,2,3,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[7,5,1,6,4,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,8,1,6,4,3,2,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[1,5,8,6,4,3,2,7] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [3,2,1,1,1] => 3

[3,4,6,1,5,8,2,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,6,1,5,7,3,8,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[1,6,8,7,4,3,2,5] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [3,2,1,1,1] => 3

[6,8,1,7,4,3,2,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,6,1,7,4,3,2,8] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,1,7,6,4,3,2,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[7,1,8,6,4,3,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[1,8,7,6,4,3,2,5] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [3,1,1,1,1,1] => 3

[2,1,7,5,6,3,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,6,7,5,8,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,8,1,6,5,3,2,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[2,8,1,5,4,6,7,3] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[7,2,1,5,4,6,8,3] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[1,2,8,5,6,3,7,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[6,1,2,5,7,3,8,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[4,2,1,5,6,3,7,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[4,3,6,1,5,7,2,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,1,6,3,7,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,3,6,8,5,7,2,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[2,4,6,3,7,1,8,5] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[1,3,6,4,8,7,2,5] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[4,1,6,7,3,8,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,4,6,1,3,7,2,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,4,1,5,2,3,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[1,2,4,5,8,3,7,6] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1] => 5

[7,2,3,5,4,1,8,6] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[2,8,3,5,4,1,7,6] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[4,2,6,3,8,1,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,8,1,4,6,3,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[3,1,6,4,7,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,8,5,7,4,3,2,6] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[5,1,8,7,4,3,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[6,5,1,8,4,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[6,5,7,1,4,3,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,5,8,1,4,3,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[1,5,7,8,4,3,2,6] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [4,2,1,1] => 4

[2,4,7,5,1,3,8,6] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[7,8,4,6,1,3,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,5,6,4,1,8,2,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,6,4,5,1,3,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[1,6,5,8,4,3,2,7] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[7,6,5,1,4,3,2,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[1,2,3,4,5,6,9,7,8] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [8,1] => 8

[9,8,1,2,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[7,8,9,1,2,3,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[9,8,7,1,2,3,4,5,6] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 6

[6,7,8,9,1,2,3,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[9,8,7,6,1,2,3,4,5] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[9,8,7,6,5,1,2,3,4] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,1,1,1,1,1] => 4

[9,8,7,6,5,4,1,2,3] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[9,8,7,6,5,3,4,1,2] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[9,8,7,6,5,4,3,1,2] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 2

[9,10,1,2,3,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[8,9,10,1,2,3,4,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[10,9,8,1,2,3,4,5,6,7] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [7,1,1,1] => 7

[7,8,9,10,1,2,3,4,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[10,9,8,7,1,2,3,4,5,6] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,1,1,1,1] => 6

[10,9,8,7,6,1,2,3,4,5] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,1,1,1,1,1] => 5

[10,9,8,7,6,5,1,2,3,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,1,1,1,1,1,1] => 4

[10,9,8,7,6,5,4,1,2,3] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[9,10,7,8,5,6,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[3,6,2,5,4,1,7,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,2,7,5,4,1,6,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[4,3,6,2,8,1,5,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,1,2,5,4,7,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[6,2,4,5,1,3,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[4,2,8,5,1,3,7,6] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[4,3,6,8,1,7,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,3,6,4,1,7,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,6,7,4,8,3,5,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[1,4,6,3,7,5,8,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[2,4,6,1,7,5,3,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,7,5,4,1,6,3,8] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,4,6,2,8,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[1,7,5,4,3,8,6,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 3

[1,4,6,3,5,8,7,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[5,4,6,2,7,8,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[2,5,4,1,6,7,3,8] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[5,6,3,2,7,1,4,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[5,6,3,2,7,1,8,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,5,6,3,2,7,1,4] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,6,2,8,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,4,1,7,8,5,3,6] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,5,4,1,6,3,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,8,4,3,2,1,5,7] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[5,3,8,2,1,6,4,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[3,7,5,8,2,1,4,6] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[7,3,2,8,5,1,6,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,6,3,2,1,7,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,6,4,3,2,1,7,5] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[7,6,4,3,2,1,8,5] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[7,8,4,3,2,1,6,5] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,4,7,2,1,8,6,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,5,8,3,2,6,1,4] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,7,3,2,1,6,8,4] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,3,7,2,5,1,8,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,3,7,2,8,1,4,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[3,2,6,1,7,4,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,5,2,1,4,7,6,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[7,3,5,2,1,8,4,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[2,5,4,1,3,7,8,6] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[2,5,8,4,1,3,7,6] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[2,4,1,7,8,3,6,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,7,2,8,6,1,4,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,6,8,2,1,7,4,5] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,7,3,2,1,5,6,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[8,4,7,3,2,1,5,6] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[7,3,2,8,6,1,4,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[3,5,2,1,4,6,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[7,8,6,5,4,3,2,1,9] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[8,9,7,6,5,4,3,2,1,10] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,2,1,1,1,1,1,1] => 2

[7,6,8,5,4,3,2,1,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[7,8,3,5,4,6,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[8,6,3,7,5,2,4,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[5,4,1,6,3,2,8,7] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[5,7,1,6,2,8,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,7,1,6,2,8,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[2,7,6,5,1,8,3,4] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,7,6,5,1,8,4,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,3,6,5,1,4,8,7] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,6,4,1,5,8,7] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,6,1,5,4,8,7] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,7,6,1,4,8,5,3] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,7,6,1,4,8,3,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[7,3,5,1,8,4,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,3,5,1,8,6,4,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[2,7,6,4,1,8,5,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,1,7,6,3,8,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[2,7,6,4,1,8,3,5] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,5,1,8,6,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,3,5,1,8,2,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,3,4,8,7,6,1,5] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,1,1] => 4

[2,3,4,8,5,7,1,6] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[6,4,3,5,8,7,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1] => 3

[2,1,4,5,8,7,3,6] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[7,3,5,4,8,1,6,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,3,4,8,7,5,6,1] => [[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [5,1,1,1] => 5

[2,3,4,8,7,5,1,6] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,1,1] => 4

[7,3,5,6,8,1,4,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[7,3,5,6,8,1,2,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[6,4,1,5,8,3,7,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[5,7,1,6,3,8,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,4,1,5,8,3,2,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[7,4,1,5,8,2,3,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,3,5,7,8,2,4,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[5,7,3,6,1,8,4,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[2,1,4,5,8,6,3,7] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[7,3,5,4,8,6,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[2,3,4,8,5,6,1,7] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[2,3,4,8,1,7,6,5] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[2,3,4,8,1,6,7,5] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[6,3,5,4,8,2,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[7,4,3,5,8,2,1,6] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[6,3,5,4,8,2,1,7] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[2,3,4,8,5,1,6,7] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[2,3,4,8,1,6,5,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,4,8,1,5,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[7,8,2,6,1,5,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,8,1,6,2,5,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,8,6,7,2,5,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,8,5,7,2,6,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[5,8,1,7,2,6,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,8,2,7,1,6,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,8,6,7,1,5,3,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,5,7,1,6,3,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,1,7,5,6,3,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,8,2,7,5,6,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,8,2,7,4,6,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[2,8,1,7,4,6,3,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,8,4,7,1,6,3,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,8,2,7,1,6,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,8,1,7,2,6,3,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,8,4,7,2,6,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[4,8,1,7,5,6,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,8,4,7,5,6,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,8,3,7,5,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[3,8,1,7,5,6,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,8,1,7,4,6,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,8,3,7,4,6,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,8,3,7,2,6,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[3,8,1,7,2,6,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,8,2,7,1,6,4,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,8,2,7,4,6,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,8,2,7,5,6,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,8,2,7,5,6,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,8,3,7,5,6,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,8,4,7,5,6,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,8,4,7,5,6,1,3] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,8,3,7,5,6,1,4] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,8,3,7,4,6,1,5] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,8,3,7,1,6,4,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,1,7,3,6,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,5,2,8,6,4,1,3] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[7,5,1,8,6,2,3,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,1,8,4,5,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,8,3,5,6,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[7,3,8,6,2,5,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,4,2,8,6,1,3,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,3,1,8,4,2,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[2,6,3,7,8,5,4,1] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [4,1,1,1,1] => 4

[2,6,3,7,8,4,5,1] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [4,2,1,1] => 4

[2,5,3,7,8,1,6,4] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[3,1,5,4,7,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,3,1,4,8,2,6,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,2,4,8,6,1,3,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[5,2,3,8,4,6,7,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[4,8,1,3,6,7,2,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[5,4,3,8,1,2,7,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,4,2,8,1,3,7,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,3,8,1,4,7,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,8,1,3,6,2,7,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,8,1,4,2,6,3,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,5,1,2,8,7,3,4] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[6,5,3,1,4,2,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[5,3,1,6,4,2,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,2,6,4,1,7,3,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,5,6,1,2,8,7,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[3,5,7,1,8,6,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,4,5,8,2,7,1,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[5,3,6,8,4,7,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[3,7,2,5,4,8,6,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[5,2,6,8,4,3,7,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[5,7,1,8,4,3,2,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[2,7,1,5,4,3,8,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,2,1,5,4,3,7,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,4,1,5,7,3,2,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,5,6,7,1,3,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,4,6,1,7,3,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,3,6,1,4,7,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,7,6,1,4,3,8,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,7,8,5,1,3,2,4] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,7,8,2,4,3,5,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[8,3,6,2,4,7,5,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,7,6,2,4,8,5,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[5,7,3,8,4,6,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[4,7,3,5,8,6,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,1,1,1] => 3

[8,7,2,1,4,3,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,7,3,1,4,6,2,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,7,6,3,2,5,4,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 2

[8,7,3,5,1,6,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,2,5,1,3,6,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,2,6,5,1,3,7,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,7,6,8,4,1,2,3] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[4,7,6,5,8,1,2,3] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[3,7,6,5,1,8,2,4] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[8,1,2,3,4,5,6,7,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,1] => 8

[1,9,2,3,4,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [8,1] => 8

[9,1,2,3,4,5,6,7,8,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[7,8,1,2,3,4,5,6,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[10,1,2,3,4,5,6,7,8,9,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [10,1] => 10

[8,9,1,2,3,4,5,6,7,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[6,8,1,2,3,4,5,7,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[5,6,4,3,8,7,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,3,8,4,5,6,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,5,6,4,8,7,1,2] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[4,6,8,5,3,7,1,2] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[1,6,5,4,2,8,7,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,8,5,2,7,3,6,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[4,2,7,5,1,8,6,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,8,1,4,2,6,5,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,1,7,5,3,2,6,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[7,4,5,3,2,8,1,6] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,3,6,1,4,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,5,8,6,4,1,3,7] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[1,6,8,7,4,2,3,5] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[6,1,7,8,2,4,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[7,2,1,4,5,6,8,3] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[1,2,8,3,6,5,7,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[6,1,3,2,7,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[1,6,3,8,5,7,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[2,6,4,1,7,5,8,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,6,5,8,1,4,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[1,6,4,3,7,2,8,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[2,6,3,4,8,7,1,5] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[1,8,3,5,4,2,7,6] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[4,1,6,3,8,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,8,2,4,6,3,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[3,2,6,4,7,8,1,5] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[2,8,5,7,4,3,1,6] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1] => 3

[5,3,8,7,1,2,6,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[6,5,3,8,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,8,4,1,2,3,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[3,5,7,8,4,1,2,6] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[2,4,6,7,3,1,8,5] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[7,8,4,6,3,1,2,5] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[2,6,4,5,3,8,1,7] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[3,6,5,8,4,2,1,7] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[6,8,5,4,3,1,2,7] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[6,1,4,2,8,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,8,6,5,3,2,7,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,5,1,2,4,7,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[6,7,5,8,2,1,4,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[1,7,5,8,2,6,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,3,8,5,7,6,2,4] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[6,8,5,2,1,4,7,3] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[2,8,1,5,6,3,7,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[8,1,2,5,6,3,7,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,8,2,5,7,6,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[2,5,8,6,1,7,3,4] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[8,6,1,5,7,2,3,4] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,8,6,5,7,1,2,4] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[7,6,5,8,1,2,4,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,2,5,8,1,6,4,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[5,2,8,6,1,7,3,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,1,3,6,7,8,5] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[7,2,6,5,4,1,8,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,6,2,4,1,8,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,1,2,6,7,8,5] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[3,5,8,6,2,7,1,4] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[5,8,1,6,3,7,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,8,5,6,3,7,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,7,6,5,4,2,8,3] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[5,7,6,1,4,2,8,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,1,4,2,6,5,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,7,4,1,5,6,8,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[5,7,6,4,1,2,8,3] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[4,7,6,1,5,2,8,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,7,6,4,5,2,8,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,8,3,6,5,7,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[3,8,1,6,5,7,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[8,1,3,5,7,6,2,4] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[6,1,5,4,3,7,8,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[7,5,6,4,2,1,8,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,4,6,2,5,1,8,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,1,3,4,5,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,1,1] => 6

[7,2,6,4,5,1,8,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,4,7,3,6,8,1,2] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[3,4,7,8,5,6,1,2] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[6,8,3,4,5,7,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,2,7,6,5,1,4,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[4,8,2,6,1,5,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,3,8,6,4,1,5,7] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[4,3,6,2,5,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,8,3,2,5,1,4,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,8,1,2,5,6,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[1,8,3,6,7,4,5,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[7,1,5,8,3,6,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[6,1,5,7,4,2,8,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[2,4,7,5,1,8,3,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[6,5,7,1,4,2,3,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,6,8,1,3,2,4,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[6,8,5,1,3,4,2,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[2,8,3,4,5,1,7,6] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[6,2,4,3,1,5,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[4,2,8,3,1,7,5,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,7,4,1,6,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,4,7,3,6,1,8,5] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[5,8,7,6,3,1,2,4] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[7,5,6,8,1,4,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[2,4,7,1,6,5,3,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,8,1,4,5,6,3,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[4,2,6,1,8,5,3,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,8,2,1,4,5,3,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,6,1,5,8,7,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[5,8,1,6,3,4,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[6,5,1,8,2,7,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[6,8,1,7,5,2,3,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[7,6,1,8,5,3,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,6,1,7,4,8,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,6,1,5,7,4,2,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,5,6,1,7,4,8,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,1,7,5,6,4,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[5,1,7,6,4,8,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[7,1,8,6,5,4,2,3] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[1,6,4,7,5,8,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[8,5,3,6,2,7,4,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[1,3,7,4,6,8,2,5] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[1,7,6,5,4,8,2,3] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[8,1,6,5,7,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,1,7,5,6,8,3,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[3,8,6,4,2,7,5,1] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,2,1,1,1,1] => 2

[2,8,6,3,7,4,5,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[6,8,1,4,7,2,5,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,8,4,1,7,2,6,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,4,7,1,8,3,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,7,1,4,8,3,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,7,1,8,4,5,3,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,1,2,8,4,3,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[1,6,2,5,8,3,4,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[8,4,2,1,7,3,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,4,2,1,8,5,3,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[6,4,3,1,5,8,2,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[3,7,6,8,4,5,2,1] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [3,2,1,1,1] => 3

[1,7,6,8,5,4,2,3] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[2,4,8,6,7,3,5,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[3,4,8,5,6,7,2,1] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [5,1,1,1] => 5

[6,3,5,8,4,7,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[5,4,3,8,6,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[3,2,8,5,7,4,6,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[6,1,5,8,7,4,2,3] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[5,4,1,8,7,6,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,8,6,7,4,3,2,1] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [3,1,1,1,1,1] => 3

[4,8,7,5,6,3,2,1] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [3,1,1,1,1,1] => 3

[6,2,1,4,3,8,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,2,1,4,3,6,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[2,6,1,4,3,5,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[4,6,2,1,3,5,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[6,4,2,1,3,5,8,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[8,4,2,1,3,6,5,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,4,2,1,6,3,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[6,4,2,1,8,3,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,6,1,4,3,8,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,8,1,4,3,6,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,8,4,1,3,6,5,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[4,8,2,1,3,6,5,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[8,6,2,1,4,3,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,8,1,4,6,3,5,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,6,1,4,8,3,5,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,6,4,8,1,3,5,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[4,6,2,8,1,3,5,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,2,6,1,8,3,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,2,4,1,8,3,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,2,1,6,8,3,5,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[4,2,1,6,3,8,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,2,1,3,6,8,5,7] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[2,1,4,3,8,6,5,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,4,1,3,8,6,5,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[4,2,1,3,8,6,5,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[4,2,1,8,3,6,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,2,1,8,6,3,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,2,1,6,4,3,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,2,6,1,4,3,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,2,8,1,3,6,5,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[2,4,8,1,3,6,5,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,4,1,8,3,6,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,1,4,8,3,6,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[2,1,4,8,6,3,5,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[2,4,8,1,6,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,4,8,6,1,3,5,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[4,2,8,6,1,3,5,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,4,6,2,1,3,5,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[4,6,8,2,1,3,5,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[2,6,8,4,1,3,5,7] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[2,6,8,1,4,3,5,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,6,1,8,4,3,5,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,1,6,8,4,3,5,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[2,1,8,6,4,3,5,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[2,8,6,4,1,3,5,7] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[4,8,6,2,1,3,5,7] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[6,8,4,2,1,3,5,7] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[3,2,6,1,5,4,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,4,3,8,1,7,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,4,1,5,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,6,1,5,2,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,5,2,8,1,7,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,7,2,6,5,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[4,3,8,2,6,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,8,1,7,2,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,8,1,5,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,1,8,3,4,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,4,8,1,3,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,1,5,4,8,3,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,7,6,8,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,3,7,6,8,1,5,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,3,7,1,8,5,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,3,6,5,8,1,7,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,3,5,4,7,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[6,3,5,4,8,1,7,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,1,6,3,8,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[7,4,6,5,8,1,3,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,1,8,4,6,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,4,6,1,3,2,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,6,3,4,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,6,3,7,2,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,3,5,1,7,2,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,5,2,6,1,7,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,3,5,2,6,4,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,2,6,3,5,1,7,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,7,1,5,3,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,2,4,1,5,3,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,2,4,1,7,3,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,2,4,3,6,1,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,8,4,6,1,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,8,1,5,4,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,2,7,6,8,1,5,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,7,1,8,5,6,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,2,6,5,8,1,7,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,5,7,2,4,3,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,5,8,2,4,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,2,4,1,8,5,6,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,6,8,2,4,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,6,8,1,5,2,4,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,1,7,3,8,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[7,1,3,2,8,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[7,1,8,5,6,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,8,2,6,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[7,2,8,1,5,4,6,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,2,7,4,5,3,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[5,4,7,2,6,3,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,4,8,2,6,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,5,8,1,7,2,4,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,1,6,5,8,3,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,5,7,4,8,1,3,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,5,7,1,8,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,1,7,4,8,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[5,4,7,1,8,3,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,4,6,3,8,1,7,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,5,3,4,7,1,8,6] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[2,4,8,3,5,7,6,1] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,2,1,1] => 4

[4,2,5,3,1,8,6,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,1,8,5,3,6,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,4,1,3,8,2,6,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,1,4,8,3,2,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[1,8,5,4,3,2,6,7] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[1,7,4,3,8,5,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[5,1,4,7,8,3,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[4,8,1,5,7,3,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[8,1,5,3,7,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[3,8,4,7,6,5,2,1] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [3,1,1,1,1,1] => 3

[6,4,8,1,7,3,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,4,8,7,1,5,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,6,4,1,3,8,2,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[4,2,1,7,8,5,3,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,7,4,6,3,1,8,5] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[2,6,8,4,3,7,5,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [3,2,1,1,1] => 3

[7,2,6,3,4,1,8,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,6,7,3,1,4,8,5] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[2,7,1,8,3,5,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[8,7,1,3,6,2,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,7,2,6,3,5,4,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[1,2,8,7,4,5,6,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [5,1,1,1] => 5

[8,3,7,1,5,6,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,6,1,2,7,5,3,4] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[8,1,6,2,7,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[7,8,1,6,4,2,5,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,3,8,6,1,5,2,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,6,1,5,3,4,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[8,1,7,5,6,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 3

[1,8,6,7,5,4,3,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [3,1,1,1,1,1] => 3

[6,3,5,7,2,8,4,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[8,5,2,7,4,3,1,6] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[4,5,3,6,1,2,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,5,1,4,6,2,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,7,4,6,3,8,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[2,8,4,6,3,7,1,5] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[8,1,4,7,3,6,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,3,4,7,5,1,2,6] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[8,5,1,4,7,3,2,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,5,3,7,1,4,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,3,7,1,8,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,1,4,7,8,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[4,7,1,3,5,8,6,2] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4

[4,8,3,7,1,2,6,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,8,6,4,1,7,2,5] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[3,8,1,2,5,7,6,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[2,8,7,5,4,1,3,6] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[8,7,2,6,4,1,3,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[3,8,6,7,4,2,1,5] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[5,3,7,8,2,4,6,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[5,3,7,6,2,1,8,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,3,6,2,8,7,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,7,8,6,4,2,1,3] => [[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [3,2,1,1,1] => 3

[6,1,7,4,5,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,7,3,5,1,8,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,1,6,7,5,8,3,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,7,3,6,1,2,8,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[2,4,7,1,6,5,8,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[4,6,2,1,8,7,5,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[4,6,1,2,5,8,7,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[5,6,1,4,8,2,7,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,5,6,4,7,1,8,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[3,4,6,1,5,7,8,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[3,4,1,5,7,6,8,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[3,8,2,7,1,6,5,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,8,2,7,6,5,1,4] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[3,8,2,7,6,5,4,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[4,8,7,2,6,5,3,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[4,8,7,2,1,6,5,3] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,8,7,3,1,6,5,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,8,7,3,2,1,6,5] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,7,3,2,6,1,5] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[4,8,7,3,2,6,5,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,8,7,3,6,2,5,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[4,8,7,3,6,5,2,1] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[5,8,7,6,3,4,2,1] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [2,2,1,1,1,1] => 2

[5,8,7,6,3,1,4,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,7,6,3,2,4,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [2,2,1,1,1,1] => 2

[5,8,7,6,2,4,3,1] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,8,7,6,2,1,4,3] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,7,6,4,2,3,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [2,2,1,1,1,1] => 2

[5,8,7,6,4,2,1,3] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,8,7,6,4,1,3,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,7,6,4,3,1,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,3,4,2,1,6,5,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,5,2,6,4,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,2,1,5,6,4,3,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[1,4,6,7,3,8,2,5] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[6,4,5,7,1,3,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[6,3,5,1,7,4,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,2,1,5,7,4,8,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[2,4,6,7,3,8,1,5] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[1,5,6,7,8,3,4,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [5,2,1] => 5

[2,5,6,7,8,3,1,4] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,2,1] => 5

[3,2,1,6,7,8,4,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[5,2,1,6,7,8,4,3] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[5,3,6,1,7,8,4,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[5,4,6,7,1,8,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[1,5,6,7,8,3,2,4] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [5,2,1] => 5

[6,4,5,7,2,1,8,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[5,4,6,7,2,8,3,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[6,3,5,2,7,1,8,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,3,4,2,1,7,8,5] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[4,3,6,2,7,8,5,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[1,5,6,7,8,2,4,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => 5

[1,5,6,7,8,4,2,3] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [5,2,1] => 5

[3,4,6,7,1,8,5,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[4,3,6,1,7,8,5,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[7,1,2,3,4,5,6,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,1] => 8

[1,4,3,6,2,5,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,4,3,7,2,5,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,4,3,7,6,8,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,4,3,7,5,8,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,4,3,7,2,6,5,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,5,3,7,4,8,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,3,2,6,5,8,4,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,5,4,8,2,6,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,5,4,8,3,7,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,2,3,6,5,8,4,7] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1] => 5

[6,8,2,4,5,7,1,3] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,7,8,4,5,2,6,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[7,8,1,4,5,3,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[3,8,7,4,1,6,5,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,8,3,6,1,5,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,8,1,4,7,6,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[7,5,1,8,6,2,4,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,4,1,8,2,6,3,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[1,6,3,8,5,2,4,7] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[6,1,3,8,5,2,4,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,2,8,4,1,6,5,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,2,8,3,6,1,5,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,1,8,2,3,6,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[6,2,8,1,3,5,4,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[2,6,3,8,7,1,5,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[2,5,1,3,8,4,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[1,2,5,3,8,4,7,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[1,2,4,8,3,7,6,5] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[2,4,8,1,3,7,6,5] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[2,4,8,3,7,6,1,5] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[2,5,4,1,3,8,7,6] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[6,3,8,1,5,2,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,1,3,8,2,4,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[1,5,4,8,2,7,6,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[6,5,1,2,8,7,4,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[5,3,1,6,4,2,8,7] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[5,1,6,2,8,7,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[1,4,2,5,8,7,6,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [4,1,1,1,1] => 4

[3,6,2,8,7,5,1,4] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[4,2,6,1,8,7,3,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,4,8,7,1,2,6,5] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[3,4,8,1,7,2,6,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,3,1,5,4,2,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,8,2,5,4,6,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,2,7,1,8,3,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,7,6,5,3,8,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 3

[1,7,6,5,2,4,8,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[2,7,1,4,8,3,5,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,7,6,4,8,5,1,2] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[4,7,6,5,2,8,1,3] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[4,7,6,5,1,8,3,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,7,6,5,1,2,8,3] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[6,1,3,5,4,8,7,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[6,1,4,2,8,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,7,1,6,2,3,8,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[3,1,6,7,4,2,8,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[4,7,1,2,5,3,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,7,6,5,2,1,8,4] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,7,6,8,3,5,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[2,7,6,5,1,4,3,8] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,2,1,7,4,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,3,1,5,4,2,8,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,4,1,5,2,7,6,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[8,2,5,1,3,7,6,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[2,7,5,4,1,3,8,6] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,4,3,2,1,8,6] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[5,7,4,3,2,8,1,6] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[1,7,6,2,4,8,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[2,7,3,6,4,8,1,5] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[7,1,8,5,3,6,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[5,8,3,2,7,1,6,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,7,3,1,6,5,4,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[8,7,2,6,1,5,4,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,8,5,7,4,3,6,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,2,1,1,1] => 3

[3,8,6,1,7,2,5,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,2,8,5,6,1,4,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,3,7,5,8,2,1,4] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[3,7,2,6,8,4,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[3,6,5,8,1,4,2,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,6,5,8,4,1,3,7] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[6,5,4,8,3,2,1,7] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,3,5,1,8,4,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,4,1,5,7,3,6,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[5,4,1,6,8,2,3,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,3,7,4,8,5,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[6,5,3,8,7,4,1,2] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[5,4,8,1,7,6,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,2,8,1,7,3,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,4,7,8,1,5,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[6,3,7,8,5,2,4,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[2,5,8,7,1,3,6,4] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[5,3,8,7,2,1,6,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,7,6,1,5,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,2,7,6,5,1,4,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[4,3,8,7,6,2,1,5] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[2,4,8,7,6,1,3,5] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[3,5,8,7,2,6,1,4] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[4,7,3,8,6,5,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[7,5,8,6,4,3,2,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[5,8,7,3,6,4,2,1] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[4,8,7,6,2,5,3,1] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,8,7,6,5,1,4,2] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,7,6,5,4,1,3] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [2,2,1,1,1,1] => 2

[3,4,1,2,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[3,2,1,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[4,5,6,1,2,3,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[4,3,2,1,5,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 6

[5,6,7,8,1,2,3,4,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[5,4,3,2,1,6,7,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[6,5,4,3,2,1,7,8,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,1,1,1,1,1] => 4

[7,6,5,4,3,2,1,8,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[8,6,5,4,3,2,9,1,7] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[3,4,1,2,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[3,2,1,4,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[4,5,6,1,2,3,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[4,3,2,1,5,6,7,8,9,10] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [7,1,1,1] => 7

[5,6,7,8,1,2,3,4,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[5,4,3,2,1,6,7,8,9,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,1,1,1,1] => 6

[6,5,4,3,2,1,7,8,9,10] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,1,1,1,1,1] => 5

[7,6,5,4,3,2,1,8,9,10] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,1,1,1,1,1,1] => 4

[8,7,6,5,4,3,2,1,9,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[3,7,5,8,2,4,1,6] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,8,5,7,2,4,1,6] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[5,1,2,6,4,3,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[6,1,2,5,4,3,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[5,1,2,4,6,3,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[4,1,2,6,5,3,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[4,1,5,7,8,3,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[4,1,5,8,7,3,2,6] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[4,7,1,8,3,6,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,1,7,8,5,2,3,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,5,3,8,1,4,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[2,1,5,8,7,3,4,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[4,1,8,7,5,2,3,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[4,7,1,6,3,2,8,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[6,1,2,3,7,5,8,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[7,1,2,3,8,6,5,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1] => 4

[7,1,2,3,5,8,6,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,1,1,1] => 5

[6,8,1,4,3,7,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[8,7,3,2,4,1,6,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[2,1,7,3,4,8,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[7,8,3,2,4,1,6,5] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,7,1,4,3,8,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[8,1,2,3,5,7,6,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,1,1,1] => 5

[8,1,2,3,6,7,5,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,1,1,1] => 5

[7,1,2,3,6,8,5,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,1,1,1] => 5

[7,1,2,3,8,5,6,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[8,1,2,3,7,5,6,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[8,1,2,3,6,5,7,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[7,1,8,5,4,3,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[7,8,2,6,3,4,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,8,2,7,3,4,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,7,2,8,3,4,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,8,7,1,4,2,6,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,7,8,1,4,2,6,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,6,8,1,4,2,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,5,7,8,2,4,1,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[3,6,7,1,4,2,8,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[7,6,2,8,3,1,4,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,6,2,7,3,1,4,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,1,7,5,4,3,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[5,8,3,7,1,4,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,3,2,4,1,8,5] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,1,2,3,5,6,8,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,1,1] => 6

[5,1,2,3,7,8,6,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,1,1,1] => 5

[5,1,2,3,8,7,6,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1] => 4

[5,1,2,3,8,6,7,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[6,1,2,3,5,8,7,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,1,1,1] => 5

[8,6,2,4,3,1,7,5] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,3,2,4,8,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[2,1,6,3,4,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[8,6,3,2,4,7,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,6,2,4,3,1,8,5] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,1,2,3,5,7,8,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,1,1] => 6

[5,1,2,3,6,8,7,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,1,1,1] => 5

[1,3,8,5,4,2,7,6] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[2,4,8,1,7,3,6,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,4,8,5,7,6,1,2] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4

[7,1,4,2,6,3,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[6,8,1,4,7,2,3,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[1,6,3,8,5,4,2,7] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[6,8,1,7,3,5,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[7,1,3,6,5,4,2,8] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[7,3,1,6,5,4,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[6,8,1,2,7,3,5,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,1,8,2,7,6,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[6,2,8,1,7,3,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,1,6,3,8,5,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[1,2,5,3,8,7,4,6] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[2,5,8,4,1,7,6,3] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,8,7,1,4,2,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[5,3,8,4,1,7,6,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,2,8,7,6,3,5,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 3

[4,2,8,7,6,5,3,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,1,1,1,1,1,1] => 2

[4,1,8,7,6,5,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1] => 2

[4,3,8,7,6,5,1,2] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[1,5,8,4,7,2,6,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[5,6,3,1,2,4,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[5,6,1,2,4,3,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[4,5,8,1,7,2,3,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[1,3,2,5,8,7,4,6] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[3,5,1,8,7,2,6,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,5,8,3,1,7,2,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[3,4,8,7,6,2,1,5] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,1,1,1] => 3

[3,1,4,8,7,6,2,5] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[1,2,7,5,8,6,4,3] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [4,1,1,1,1] => 4

[7,1,4,8,2,6,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[6,8,1,3,7,5,2,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,7,8,1,2,6,5,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[2,3,7,8,1,6,5,4] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[2,7,8,1,3,6,5,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[8,1,2,6,7,3,5,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[8,1,2,6,7,5,3,4] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[2,8,1,6,7,3,5,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,6,8,3,7,1,5,4] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[6,8,3,4,1,7,5,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[2,6,8,3,7,5,1,4] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[2,8,1,6,7,5,3,4] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[8,2,5,7,1,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,4,7,2,3,6,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,5,7,4,2,6,1,3] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,3,5,7,4,1,6,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[8,5,2,4,7,1,6,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,2,3,5,7,1,6,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[8,2,7,1,4,6,3,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,7,1,2,4,6,3,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,7,1,4,6,2,3,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,4,7,1,3,6,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,6,8,3,7,2,5,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[5,8,7,1,3,6,2,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[8,5,4,7,1,6,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,4,7,1,2,6,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[1,6,5,8,2,7,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[8,5,6,3,1,7,4,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,6,2,8,1,7,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[1,8,4,5,7,2,6,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[8,3,5,7,1,6,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,3,8,2,7,5,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,8,4,2,7,1,5,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,6,4,7,3,1,5,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,5,7,3,1,6,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[8,4,2,5,7,1,6,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,7,1,3,4,6,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,3,7,2,4,6,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[2,8,4,5,7,1,6,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[8,7,3,4,5,1,6,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,7,4,5,2,6,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,7,2,3,6,1,4] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[1,3,2,8,5,4,7,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[5,2,1,8,4,3,7,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,2,8,4,3,7,5,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[7,2,8,4,3,1,6,5] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,4,8,2,1,6,5] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[6,3,4,8,2,7,5,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[5,3,4,1,8,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,4,5,2,3,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[8,1,5,4,3,2,7,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[4,5,3,2,8,7,1,6] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,4,3,2,8,7,5,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[6,5,3,2,1,7,8,4] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[4,1,6,3,2,7,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[3,6,4,2,7,8,1,5] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[8,1,7,4,3,6,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[2,7,4,1,3,6,5,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[6,7,3,2,5,4,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,6,3,2,1,5,4,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[2,7,5,6,1,3,4,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,6,5,7,1,3,8,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[4,6,5,7,2,8,1,3] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[6,5,4,1,7,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,5,4,6,2,1,8,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,5,7,1,8,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,4,6,1,7,8,2,3] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,1,5,6,7,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,1,4,6,8,7,3,5] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[3,4,6,8,7,1,2,5] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[5,3,6,8,7,2,4,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[6,3,5,1,8,7,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,3,5,8,6,2,1,4] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[6,2,8,5,1,7,3,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,3,2,8,6,7,4,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[2,3,8,6,7,1,4,5] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[2,3,8,7,1,6,5,4] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,8,7,6,1,5,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[5,2,8,7,6,4,1,3] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[7,2,1,8,6,5,4,3] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[7,3,6,1,8,5,4,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,3,7,8,5,4,2,1] => [[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [3,1,1,1,1,1] => 3

[4,3,1,7,8,6,5,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[8,1,5,7,6,2,4,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,5,7,6,8,1,4,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[4,5,7,6,8,3,1,2] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1] => 4

[6,4,7,5,8,3,2,1] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,1,1,1,1,1] => 3

[7,4,6,5,1,8,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,5,6,4,3,1,8,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,6,7,5,3,8,1,2] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[3,6,7,5,1,4,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[8,1,7,6,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1] => 2

[3,7,6,5,1,4,2,8] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[4,7,6,5,3,1,2,8] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[8,6,4,3,1,5,7,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[8,6,4,1,5,2,7,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,6,5,1,3,2,7,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,6,3,1,7,2,4,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,7,3,1,5,2,4,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[5,3,1,7,2,4,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,7,1,2,4,5,3,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,6,1,2,4,7,3,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,5,1,2,6,7,3,4] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,5,1,6,4,2,7,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,5,1,3,6,4,7,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[8,6,1,5,3,4,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,6,1,2,5,7,3,4] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,6,1,2,7,4,3,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[8,7,1,2,5,4,3,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[5,1,4,2,3,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[5,1,4,2,7,3,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[7,1,5,8,2,6,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,7,8,1,2,4,6,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[5,7,8,1,3,4,6,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[5,8,1,7,3,4,6,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[8,4,1,2,7,6,3,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[3,1,8,4,6,7,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[3,1,7,6,4,8,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[7,1,2,6,8,5,3,4] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[6,1,2,7,8,5,3,4] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[6,1,2,7,4,8,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[3,1,6,4,7,8,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[5,7,1,3,8,4,6,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[5,7,1,8,4,2,6,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,1,5,3,2,8,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[7,1,4,5,2,8,6,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[4,8,7,3,1,5,6,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,1,7,4,5,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,7,5,3,2,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,3,7,1,2,6,4,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[3,1,2,8,4,7,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[3,1,2,8,6,4,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[3,1,7,2,6,4,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,8,1,3,4,7,6,2] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4

[3,1,8,6,4,7,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[6,1,2,8,7,3,5,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[7,1,2,8,3,6,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[3,1,7,8,4,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[3,1,8,7,6,4,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[8,1,2,7,4,6,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[8,1,2,7,3,6,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[7,8,5,6,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[7,5,6,3,1,4,2,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,8,3,1,4,2,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,8,5,3,1,6,4,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,8,5,3,6,4,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,5,8,3,4,1,6,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,5,6,3,4,1,8,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,5,3,6,1,2,8,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,3,1,4,2,6,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,5,3,1,6,4,8,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[7,5,3,6,4,1,8,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,3,8,1,4,6,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,5,3,1,8,4,6,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[7,5,3,1,8,2,6,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,5,3,1,6,4,2,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,5,3,1,8,4,2,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,5,3,1,8,6,2,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,5,3,8,1,6,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,5,3,8,6,1,4,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,3,8,6,4,1,2] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[7,5,8,3,6,4,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,5,8,3,6,1,4,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,5,8,3,1,6,4,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,5,3,6,1,4,2,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,3,8,4,1,2,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,5,8,6,3,1,2,4] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[7,5,8,6,3,1,4,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,8,6,3,4,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,6,8,3,1,4,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[7,5,3,4,1,8,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,6,3,1,8,2,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,6,3,1,8,4,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,5,6,3,8,1,4,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,5,6,3,8,4,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,5,3,6,1,8,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,5,3,1,6,8,2,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[7,5,3,1,2,8,4,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,5,3,1,2,8,6,4] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[7,5,3,1,4,8,6,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[7,5,3,4,8,1,6,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,5,3,4,1,6,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,5,3,1,4,6,8,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[3,5,2,8,4,7,6,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[6,4,5,3,2,1,8,7] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,3,2,6,4,1,8,7] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[4,7,6,3,8,5,2,1] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[4,8,6,3,7,5,2,1] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[4,8,5,3,2,7,6,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,8,4,3,2,7,6,1] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,3,2,8,4,7,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[2,1,5,8,4,7,6,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[5,3,2,7,4,8,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[5,7,4,3,2,8,6,1] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,7,5,3,2,8,6,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,7,8,3,6,5,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1] => 3

[4,6,8,3,7,5,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1] => 3

[7,6,4,3,8,5,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 2

[7,3,2,6,8,5,4,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[2,1,8,6,7,5,4,3] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 3

[8,3,2,6,7,5,4,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[8,6,4,3,7,5,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 2

[8,5,7,6,4,3,2,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,1,1,1,1,1,1] => 2

[8,4,7,3,6,5,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[8,4,6,3,7,5,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[7,4,6,3,8,5,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[3,8,2,5,4,7,6,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[3,7,2,8,6,5,4,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[3,6,2,8,7,5,4,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[6,4,7,3,8,5,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[6,4,8,3,7,5,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[7,4,8,3,6,5,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[7,5,4,3,2,8,6,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 2

[7,3,2,5,4,8,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[2,1,7,5,4,8,6,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[7,3,2,8,6,5,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[6,8,5,7,4,3,2,1] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,2,1,1,1,1] => 2

[6,3,2,8,7,5,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[6,3,2,7,8,5,4,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[2,3,1,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[2,3,4,1,5,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[2,3,4,5,1,6,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[2,3,4,5,6,1,7,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[2,3,1,4,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[2,4,3,1,5,6,7,8,9] => [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [6,2,1] => 6

[2,3,4,1,5,6,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[2,3,4,5,1,6,7,8,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[2,3,4,5,6,1,7,8,9,10] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,3,4,5,6,7,1,8,9,10] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[2,3,4,5,6,7,8,1,9,10] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[2,3,4,5,6,7,9,8,1] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [7,1,1] => 7

[6,8,1,2,4,5,7,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[8,3,5,2,4,1,6,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,5,2,8,3,1,6,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[2,1,6,8,4,7,3,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,4,8,3,2,1,6,7] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[5,4,3,7,2,6,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[4,3,6,2,7,5,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,5,1,2,7,8,6,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[5,4,7,3,8,6,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,8,4,7,6,3,1,2] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[5,8,7,1,4,2,6,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,5,1,2,7,6,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[1,8,4,3,5,2,7,6] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[4,7,3,6,5,2,1,8] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[5,3,7,6,4,2,1,8] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[1,6,3,4,2,8,7,5] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,8,3,6,2,7,5,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,6,8,7,4,2,5,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[6,4,8,7,5,3,1,2] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,4,3,8,5,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[1,7,6,2,8,4,5,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[7,1,3,2,6,8,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[1,5,3,2,7,4,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[6,3,2,1,8,5,4,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[6,5,3,2,7,4,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[2,8,5,3,1,6,4,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,1,7,3,8,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[1,6,2,3,7,8,5,4] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [5,1,1,1] => 5

[1,6,7,2,8,4,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[5,1,2,7,8,3,6,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[2,4,1,7,8,6,3,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,2,1,7,3,8,5,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,2,8,4,3,1,5,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[7,3,2,1,8,4,5,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,7,6,1,2,4,5,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[8,3,7,6,2,1,4,5] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[3,2,8,7,5,1,4,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,3,6,5,2,1,4,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[7,6,3,5,2,4,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,4,6,2,5,3,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,2,4,1,6,5,3,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,2,8,1,7,5,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,2,4,1,7,6,3,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,5,7,3,6,4,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,8,3,7,5,4,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[8,1,6,7,5,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,2,6,4,3,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[2,8,1,7,5,4,3,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[2,5,1,8,6,4,3,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,7,2,6,4,3,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[6,2,7,5,4,3,1,8] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[2,1,8,6,5,4,3,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[1,2,7,5,4,3,8,6] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [4,1,1,1,1] => 4

[1,7,2,4,3,8,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,7,2,8,3,6,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,7,8,6,5,2,4,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[7,3,8,6,5,4,1,2] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[1,8,7,6,5,2,4,3] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[8,1,7,3,2,6,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[5,1,4,3,2,8,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[8,6,5,3,2,1,7,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[8,6,3,2,1,7,4,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,6,5,4,1,7,2,3] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,6,5,1,7,3,2,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,6,1,7,4,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[4,6,3,2,7,5,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,4,8,3,1,6,2,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,1,5,8,3,2,6,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[5,7,4,3,1,8,6,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,8,7,2,5,4,6,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[1,8,5,3,7,2,6,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[4,3,1,8,7,5,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[1,3,5,6,8,4,2,7] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [5,2,1] => 5

[3,5,4,8,7,1,2,6] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[3,1,4,6,8,7,2,5] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[1,6,3,8,7,2,5,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,6,2,4,8,7,5,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [4,1,1,1,1] => 4

[8,4,1,6,7,5,3,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[7,3,6,8,5,1,2,4] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[3,6,5,7,2,4,1,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,6,2,4,7,5,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[3,6,2,4,1,8,5,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,3,8,2,1,6,4,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,5,2,1,8,6,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,7,6,4,3,1,5,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[8,7,6,4,1,5,2,3] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[3,8,7,2,1,4,6,5] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[3,8,2,7,1,5,4,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,6,8,2,1,5,4,7] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[2,4,8,1,6,5,3,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,2,8,1,5,7,3,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,5,7,6,1,4,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,1,7,5,4,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[1,6,2,8,7,3,5,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,8,2,4,6,7,3,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[2,8,5,4,7,1,3,6] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,1,5,8,6,4,3,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[1,2,5,7,8,4,3,6] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [5,2,1] => 5

[1,2,7,8,3,6,5,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[7,1,8,6,3,5,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[1,8,7,6,3,5,2,4] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[7,1,6,4,2,3,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[2,7,1,4,5,8,3,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[7,1,4,5,6,8,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[7,1,5,4,6,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,6,5,4,3,2,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[2,5,1,7,4,3,6,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,5,1,4,7,8,6,3] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[3,5,1,4,8,6,2,7] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,6,2,4,7,8,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[5,6,2,4,8,7,1,3] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[6,3,8,2,4,7,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,5,8,7,2,3,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[6,3,4,2,8,5,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,6,8,1,3,5,2,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,3,8,1,2,7,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[2,8,3,1,5,6,4,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,1,7,5,6,8,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[3,4,1,5,7,6,2,8] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,7,4,1,6,2,8,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,4,7,2,5,3,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[4,7,8,1,2,3,6,5] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[2,8,6,1,5,3,7,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,6,5,1,3,8,2,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[7,6,5,1,3,4,8,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[7,2,6,4,1,3,8,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[6,7,5,2,1,3,8,4] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[8,4,5,3,7,2,6,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[2,6,4,3,1,5,7,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[7,3,8,4,1,5,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,3,4,1,6,5,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,8,5,7,2,1,3,4] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[6,3,5,2,1,7,4,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[3,6,5,4,2,8,1,7] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[1,6,4,7,2,5,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,6,4,8,2,5,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,6,5,8,2,4,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,6,8,2,4,3,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,6,5,7,2,4,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,6,7,2,4,3,8,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,5,7,8,3,2,4,6] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[1,5,8,3,2,4,6,7] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[1,7,3,4,2,8,6,5] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,6,2,4,3,8,7,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,5,8,7,3,2,4,6] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[1,4,2,3,5,8,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,1,1,1] => 5

[1,5,2,3,4,8,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,1,1,1] => 5

[1,6,5,2,3,8,7,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[1,7,4,2,8,6,5,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[1,7,6,5,2,8,4,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,6,7,5,2,3,8,4] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,7,5,2,8,4,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,7,5,6,2,8,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,5,8,3,2,4,7,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,6,8,4,2,3,7,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,7,4,6,2,8,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,7,3,5,2,8,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,6,8,5,2,3,7,4] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,5,7,3,2,4,8,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,7,3,4,2,8,5,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,7,4,2,8,5,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,6,7,4,2,3,8,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,7,6,4,2,8,5,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,7,5,2,8,6,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[1,6,4,2,3,8,7,5] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[3,7,5,6,1,4,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[3,5,4,1,6,7,8,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[1,7,6,4,3,5,8,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1] => 4

[8,4,1,3,7,2,5,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[4,7,1,3,8,2,5,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,7,8,1,2,6,5,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[1,8,6,4,2,7,5,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[6,8,5,7,3,2,1,4] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[1,8,4,3,7,2,5,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[8,2,3,4,7,6,1,5] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[3,7,4,8,5,2,1,6] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[7,5,8,6,3,2,1,4] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,5,8,7,3,2,1,4] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,5,7,6,3,2,1,4] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[3,7,5,8,6,2,1,4] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[1,8,7,3,6,2,5,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[6,8,7,5,3,2,1,4] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,7,6,8,3,4,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,7,6,8,4,5,1,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[1,5,4,7,6,8,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,7,4,6,5,8,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[3,7,4,6,5,8,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[3,5,4,8,6,7,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[3,8,4,6,5,7,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[3,6,4,7,5,8,1,2] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[1,6,2,7,5,8,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,6,4,8,5,7,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,8,4,6,5,7,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,5,4,8,6,7,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[7,8,1,5,4,6,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,8,1,5,2,4,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,8,2,6,5,7,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,7,2,8,5,6,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,7,2,6,5,8,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,5,2,7,6,8,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,7,6,8,2,5,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,7,6,8,4,5,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[5,7,6,8,1,4,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[7,8,5,6,1,3,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,6,7,1,3,2,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[1,3,2,7,6,8,4,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,7,6,8,2,4,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[7,8,1,3,2,6,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,8,1,6,2,4,3,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,8,6,7,2,4,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[7,8,1,4,2,6,3,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,8,1,4,2,5,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,4,5,6,7,8,1,9,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[3,4,5,6,7,8,1,2,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[3,4,5,6,7,8,9,1,10,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[1,7,4,3,2,8,6,5] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,4,7,3,2,5,8,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,7,5,3,2,8,6,4] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,5,3,2,4,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[7,6,5,4,3,1,8,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[6,8,5,4,3,2,1,7] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,7,6,5,4,3,1,9,2] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[7,9,6,5,4,3,2,1,8] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[9,8,7,6,5,4,3,1,10,2] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 2

[7,1,5,4,3,8,6,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[6,8,1,4,3,2,7,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,9,6,5,4,3,2,8,7] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [3,1,1,1,1,1,1] => 3

[8,10,7,6,5,4,3,2,1,9] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,2,1,1,1,1,1,1] => 2

[1,8,2,4,3,7,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[3,8,5,4,7,2,1,6] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[7,6,5,1,3,8,4,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[1,6,3,4,8,7,5,2] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [4,1,1,1,1] => 4

[6,8,5,4,1,2,7,3] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[1,8,5,2,3,7,6,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[6,8,2,4,3,7,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[1,8,3,4,7,2,6,5] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[7,5,8,4,3,2,1,6] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,4,7,5,2,6,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,6,8,2,1,7,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[8,4,6,5,2,1,7,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,1,8,7,4,2,3,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[5,2,3,6,4,1,8,7] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[6,1,4,5,3,2,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[3,8,7,1,4,6,5,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,7,1,2,4,3,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[4,3,7,6,8,2,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[5,3,6,8,1,7,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,3,7,2,4,8,5,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,4,8,6,5,2,1,3] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[7,1,8,2,5,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,5,3,7,4,1,8,6] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[3,6,4,7,5,1,8,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[8,4,7,6,2,3,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,4,7,1,2,5,6,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,1,7,4,2,5,6,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[2,5,8,7,3,6,1,4] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[7,4,3,2,8,5,6,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[4,2,7,1,8,5,6,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,1,7,2,8,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,4,8,7,3,5,6,1] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [4,2,1,1] => 4

[4,7,8,3,1,5,6,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[3,4,7,2,8,5,6,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[3,7,1,4,8,5,6,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[6,1,8,5,2,7,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[2,1,8,3,6,7,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[2,6,3,5,8,7,1,4] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[7,6,2,1,5,8,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[5,1,6,8,4,7,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,4,8,6,5,2,3,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[7,6,4,1,2,3,8,5] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[3,2,5,8,4,1,7,6] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[8,4,7,1,5,2,3,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,8,7,5,6,1,2,3] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[4,7,8,1,3,5,6,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[8,7,3,4,1,5,6,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[3,1,8,7,2,5,6,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[8,2,3,7,1,5,6,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[6,4,8,7,1,3,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,8,4,6,7,3,1,5] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[4,3,8,2,7,6,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,8,4,2,1,3,7,5] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[2,8,3,7,1,5,6,4] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[6,4,1,3,2,8,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,3,8,6,2,1,4,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[4,3,7,5,1,8,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,6,8,1,4,5,2,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,8,1,2,4,5,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,8,6,1,2,5,4,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[5,8,1,6,2,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,3,8,6,2,5,1,7] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,3,6,1,4,5,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,3,6,8,4,5,1,7] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[6,3,8,7,4,2,5,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[5,8,4,3,7,6,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,7,4,3,1,6,2,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[1,7,4,3,8,6,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[7,1,5,3,4,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[2,8,6,1,7,4,5,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,8,6,5,7,2,1,3] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[6,1,8,7,4,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[8,5,4,3,1,6,7,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[2,5,8,6,3,4,7,1] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [4,2,1,1] => 4

[6,5,8,4,3,1,7,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,2,8,1,3,6,4,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[1,8,3,2,5,6,7,4] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [5,1,1,1] => 5

[2,8,3,1,5,6,7,4] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[8,2,3,1,5,6,7,4] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[3,1,2,7,8,6,4,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[7,5,1,8,2,4,3,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,5,8,1,2,4,7,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[4,5,8,1,2,3,7,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[4,2,7,1,8,6,3,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,8,4,1,2,6,7,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[5,4,8,2,3,6,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[5,8,3,6,7,4,1,2] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[2,3,1,6,8,4,7,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,4,3,7,1,8,5,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,7,1,4,3,8,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,4,1,8,6,3,7,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,3,6,5,8,2,1,4] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,6,3,5,8,2,1,4] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[4,5,8,7,3,6,1,2] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[8,2,5,6,1,4,7,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[8,6,5,4,1,2,7,3] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[2,6,1,8,3,7,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,7,1,6,2,8,5,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[7,6,1,5,8,2,3,4] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,6,8,5,1,2,7,4] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[6,5,2,4,8,1,7,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,8,2,5,1,6,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,2,1,8,5,6,7,3] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[2,8,4,5,1,6,7,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[5,4,8,3,7,6,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,1,5,8,6,2,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[6,3,4,8,5,1,7,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[5,3,4,8,1,6,7,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[7,5,8,4,6,1,3,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,5,4,8,7,1,3,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,4,8,1,2,7,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,5,4,1,8,2,7,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,5,4,7,1,2,8,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,5,4,7,8,1,3,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[6,5,3,7,1,4,2,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,3,1,8,4,2,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,5,1,4,8,3,2,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,1,6,4,7,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[7,5,1,4,8,3,6,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[6,5,3,7,1,4,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,4,3,1,5,8,7,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[8,1,5,4,3,7,6,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[7,4,1,5,3,2,6,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,1,5,4,3,2,6,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[6,5,3,1,2,7,4,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[6,5,3,8,1,4,2,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,6,8,1,4,3,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,1,7,2,5,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[8,1,7,2,5,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[7,6,1,2,5,4,8,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[6,5,3,8,1,4,7,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,5,3,1,2,7,8,4] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[8,1,6,4,2,5,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[7,4,1,5,3,2,8,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,4,3,1,5,2,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,4,3,1,5,7,2,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,1,5,4,3,6,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[7,4,1,5,3,6,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[6,4,3,1,5,7,8,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[6,7,3,8,4,5,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,7,4,5,1,8,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,7,5,6,2,3,1,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,7,5,6,1,8,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,7,5,6,3,8,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,7,5,8,4,6,1,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[4,5,3,8,6,7,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,8,3,6,5,7,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,6,4,7,1,8,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,6,1,7,3,8,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,6,1,8,2,7,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,6,1,8,4,7,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,8,1,6,5,7,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,5,1,8,6,7,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,8,4,5,1,6,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,8,2,3,1,6,5,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,6,2,8,1,4,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,6,3,4,1,8,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,6,4,5,2,7,1,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,6,4,5,1,8,2,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,6,4,8,1,5,3,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,3,6,1,5,4,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,3,4,1,6,5,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[7,8,2,5,3,4,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[7,8,1,5,3,6,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,5,3,8,6,7,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,8,3,6,2,7,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,6,4,8,2,7,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[2,6,4,7,3,5,1,8] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,7,3,6,4,5,1,8] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[1,7,3,6,4,8,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,7,2,8,4,6,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,7,5,8,4,6,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,7,5,8,2,6,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,7,5,6,3,8,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[2,7,5,6,3,4,1,8] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[6,7,2,5,3,4,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,7,1,5,3,8,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,7,5,8,1,4,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,6,7,2,3,1,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[6,7,2,3,1,8,4,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,2,8,1,4,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,4,2,7,5,6,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,4,1,7,5,8,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,7,5,8,1,4,3,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,3,1,7,5,8,4,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,3,1,8,4,7,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,8,2,3,1,6,4,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,8,2,6,1,4,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,8,6,7,1,4,3,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,1,4,3,7,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,7,2,5,4,6,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,5,2,7,3,6,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,5,1,8,2,7,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,4,1,8,2,7,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,4,1,8,6,7,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,4,2,5,1,8,6,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,4,2,8,1,6,5,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,8,2,5,1,6,4,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,5,2,8,1,6,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,5,3,6,1,8,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,1,5,8,4,6,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,6,7,1,4,2,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,6,3,7,5,1,2,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,6,1,7,3,2,5,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,6,8,2,4,5,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,7,1,5,2,6,3,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,5,2,3,1,7,6,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,6,2,3,7,1,5,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,6,2,7,3,1,5,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,6,7,2,4,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,7,2,5,1,6,3,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,2,1,4,6,3,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,4,2,1,7,6,3,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,5,2,7,1,6,3,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,7,2,1,4,3,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[5,8,7,3,1,4,6,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,5,7,2,1,4,6,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,5,2,7,1,3,6,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,4,2,1,3,7,6,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[8,7,4,1,2,3,6,5] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[8,7,4,1,2,6,3,5] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,4,3,1,7,2,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,4,3,1,2,7,6,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[8,5,1,3,2,7,6,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[8,5,7,4,1,6,2,3] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,1,5,4,2,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[8,1,6,4,7,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,1,5,8,4,2,7,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[5,8,3,6,4,1,2,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,2,8,6,4,1,3,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,4,7,5,1,6,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,7,5,1,2,6,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[8,4,7,5,1,2,3,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,7,3,5,1,2,6,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,3,2,6,5,1,4,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,4,7,2,1,5,3,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,2,7,1,5,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,2,1,7,6,4,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,3,1,4,2,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,7,3,1,6,2,4,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,7,3,1,2,6,4,5] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,7,3,1,2,4,6,5] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[8,3,2,1,4,7,6,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[8,3,2,1,7,4,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,3,2,7,1,5,6,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[8,4,7,2,1,5,6,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[3,8,7,4,1,2,5,6] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[8,7,2,1,6,3,4,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,7,2,1,3,6,4,5] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,7,2,1,3,4,6,5] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[3,6,5,4,1,2,8,7] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[3,8,5,6,7,4,1,2] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[4,7,5,8,6,2,1,3] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[2,5,7,8,6,3,4,1] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [4,2,1,1] => 4

[4,8,5,7,6,3,1,2] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[4,6,3,2,1,5,8,7] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[5,8,1,3,7,6,4,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[4,2,6,8,5,7,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[6,4,2,7,3,8,5,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[2,1,5,8,7,6,3,4] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[2,1,4,7,6,3,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,3,7,6,2,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[8,5,1,6,3,2,7,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,3,7,1,5,2,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,4,6,1,3,2,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,4,3,8,2,1,5,6] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[4,7,5,8,1,6,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,4,3,2,7,8,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[4,2,5,1,6,7,8,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[2,4,8,5,7,1,3,6] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[3,7,1,4,6,8,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[2,6,7,3,5,1,8,4] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[8,5,7,1,6,3,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,5,7,2,8,4,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[3,4,8,6,5,2,1,7] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,1,1,1] => 3

[2,7,6,1,4,5,8,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[6,5,8,2,1,7,3,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,3,5,1,6,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,2,5,8,4,3,7,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[8,6,7,1,5,4,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[2,1,6,5,8,4,7,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,8,2,7,6,1,3,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,1,8,2,7,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[3,8,1,2,6,7,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[5,8,4,3,2,7,1,6] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,4,8,6,3,2,5,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[5,8,4,7,2,1,3,6] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[6,3,8,2,4,5,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[5,8,2,4,3,1,6,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[1,2,7,3,5,4,8,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[1,2,3,8,4,5,7,6] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [6,1,1] => 6

[1,2,8,3,4,5,7,6] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [6,1,1] => 6

[1,5,7,2,3,6,4,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,2,3,8,4,6,7,5] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [6,1,1] => 6

[1,8,2,3,5,4,6,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,7,8,2,3,6,4,5] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,6,7,8,2,3,5,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,7,8,2,5,3,6,4] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,2,8,3,6,4,5,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,8,2,3,6,4,5,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[1,2,8,3,5,4,6,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,5,2,7,8,3,6,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,8,2,3,4,6,7,5] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [6,1,1] => 6

[1,7,8,2,4,3,6,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[6,7,4,5,1,2,8,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,7,5,4,1,2,8,3] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[6,4,7,5,1,2,8,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[6,2,1,7,5,3,8,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,3,8,1,5,2,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,6,8,4,1,7,2,3] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,6,8,5,7,1,2,3] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,5,8,6,7,1,2,3] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[5,4,8,6,1,7,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,8,1,6,7,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,4,7,6,1,8,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,5,7,6,8,1,2,3] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[4,6,7,5,8,1,2,3] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,8,6,5,7,1,2,3] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[4,7,5,6,8,1,2,3] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[4,6,5,7,8,1,2,3] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[5,7,4,6,1,8,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,4,6,1,7,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,3,1,6,7,2,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,7,3,1,6,8,2,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,6,3,1,7,8,2,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,7,4,8,1,6,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,4,6,8,1,7,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,8,6,7,5,1,2,3] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[5,2,1,7,8,6,3,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,3,8,1,7,6,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,4,8,7,1,6,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,6,8,7,5,1,2,3] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[4,7,8,6,5,1,2,3] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[4,8,7,6,5,1,2,3] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[2,5,4,7,3,6,1,8] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,4,6,3,7,5,1,8] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[4,2,6,3,1,5,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[2,5,3,1,6,4,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,6,5,3,7,4,1,8] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[2,7,5,3,6,4,1,8] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[2,1,3,7,5,4,8,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[2,3,1,8,6,5,4,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,2,8,3,1,6,5,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,2,6,4,1,5,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[3,6,8,2,1,4,5,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[1,5,2,8,3,4,7,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,2,6,3,8,7,4,5] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[1,2,8,3,6,4,7,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[2,1,3,8,5,4,7,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[7,1,8,4,2,3,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[4,2,6,3,1,8,5,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,4,2,8,3,1,6,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[2,5,4,8,3,1,6,7] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[1,8,7,4,2,3,5,6] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,2,7,3,6,4,8,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[1,2,7,3,8,6,4,5] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[1,2,6,3,8,4,7,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[4,2,1,8,3,7,5,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,3,2,1,7,4,5,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[1,2,7,3,8,4,6,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[1,2,3,8,7,6,4,5] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [5,1,1,1] => 5

[2,5,3,8,1,6,4,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,4,8,6,1,2,5,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[2,5,7,1,4,8,6,3] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[2,4,8,1,5,7,6,3] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[2,4,3,8,1,6,5,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,4,8,1,3,5,7,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[4,8,6,7,1,2,3,5] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[3,8,5,7,1,6,4,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,2,8,5,6,1,7,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,8,6,7,3,4,2,1] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [3,2,1,1,1] => 3

[5,8,6,7,2,1,3,4] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[4,3,1,7,5,2,8,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[4,3,8,5,1,6,7,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,6,7,1,5,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,8,6,7,1,4,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,3,8,5,1,6,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[3,2,4,8,6,1,5,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[3,2,5,7,6,1,4,8] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[3,8,5,7,1,4,2,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,8,4,7,1,5,2,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,8,4,7,2,5,1,6] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,1,2,6,7,5,3,8] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[3,4,1,7,5,6,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,1,7,5,2,8,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[4,8,6,7,2,3,1,5] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[5,8,6,7,4,1,2,3] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[7,3,5,8,1,4,2,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,8,7,6,1,4,2,5] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[5,1,8,3,6,7,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,4,7,8,5,6,2,3] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[3,4,7,1,5,8,6,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[3,6,1,4,7,8,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[6,8,1,3,5,7,2,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,8,1,6,5,4,2,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,1,3,7,5,8,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[3,1,7,6,5,8,4,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[8,2,7,6,5,3,4,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 3

[8,4,2,6,7,5,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[4,8,1,6,7,5,3,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[8,7,3,6,4,5,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[5,7,8,6,2,1,4,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[2,7,4,1,6,8,3,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[1,8,6,4,5,2,3,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[2,8,4,6,5,1,3,7] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[3,4,1,7,5,2,6,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[7,5,8,6,1,2,4,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[2,5,4,3,6,8,1,7] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[3,8,5,4,6,2,1,7] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[4,8,2,1,3,7,5,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[6,4,1,2,7,5,8,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[4,1,8,3,6,7,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[8,3,7,4,5,2,6,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[4,3,7,8,5,1,6,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[5,4,8,2,7,6,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,2,7,3,6,5,8,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[5,8,2,6,3,4,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[8,2,7,5,4,3,6,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 3

[6,3,8,1,4,7,5,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,8,4,5,6,1,2,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[1,4,3,5,7,8,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[6,5,8,7,1,3,4,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[1,5,2,7,4,3,8,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[2,8,5,6,4,3,1,7] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1] => 3

[1,8,6,5,4,3,2,7] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [3,1,1,1,1,1] => 3

[6,1,5,2,8,4,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,6,1,8,5,7,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,7,1,2,8,5,6,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[1,4,7,2,8,5,6,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[7,3,5,8,6,1,2,4] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[3,6,8,1,5,7,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,4,6,5,8,1,7,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[6,8,1,5,7,2,3,4] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[1,7,2,5,8,6,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[2,7,1,5,8,6,3,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[2,4,7,1,8,5,6,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[1,2,7,6,8,3,5,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[7,4,2,1,6,8,5,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[6,7,4,1,8,5,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,7,4,3,1,8,5,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,3,7,6,8,1,5,4] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[3,1,7,6,8,2,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,7,6,8,1,2,5,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[1,3,7,6,8,2,5,4] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[7,4,1,2,6,8,5,3] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[7,1,4,2,8,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[7,1,8,2,5,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[7,3,8,4,6,1,5,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,2,8,1,6,4,5,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,7,2,6,8,5,4,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [4,1,1,1,1] => 4

[7,1,5,8,6,3,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[3,6,7,1,8,5,4,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[7,6,8,2,3,1,5,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,7,6,8,3,1,5,4] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[2,7,1,6,8,5,4,3] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[6,7,3,1,8,5,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,7,1,8,5,4,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[7,2,1,6,8,5,4,3] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[7,6,8,3,2,1,5,4] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,7,8,5,6,1,3,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[4,6,5,8,7,1,3,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[5,6,4,8,1,2,7,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,4,5,1,8,2,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,6,7,2,1,5,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[5,3,6,7,1,4,2,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,1,4,6,7,3,2,5] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[7,2,1,6,8,4,5,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[5,2,6,7,1,4,8,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,2,6,7,3,1,8,5] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,4,1,5,8,7,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[8,1,4,5,3,7,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[6,3,4,1,5,8,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,3,4,2,1,8,6,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,3,5,2,7,1,6,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,6,3,8,1,4,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,6,1,2,4,5,8,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[5,6,2,8,1,4,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,5,2,1,3,7,8,4] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[8,1,6,3,2,5,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[5,4,2,3,1,6,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,3,1,4,5,6,2,8] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,1,4,3,5,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,2,3,1,5,7,8,4] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[7,8,4,2,1,6,5,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,8,4,2,1,5,6,3] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,2,3,4,8,7,1,5] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[6,2,3,4,7,8,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[6,2,3,7,8,5,1,4] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[5,2,6,3,8,1,7,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,4,3,8,7,5,1,2] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[6,2,4,1,7,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,5,6,8,3,2,1,7] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,2,1,1] => 4

[5,6,1,4,2,3,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[5,6,1,4,2,3,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,2,8,3,4,1,7,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,3,4,5,8,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[5,1,4,3,6,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,4,3,7,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,4,3,8,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,6,2,4,1,7,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,7,2,4,1,8,6,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,1,4,2,7,8,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[5,2,7,4,1,6,8,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,6,5,3,2,1,7] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,4,7,8,3,2,1,6] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[5,4,8,7,3,2,1,6] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,7,1,3,4,2,6,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[5,1,8,4,2,3,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[5,1,7,4,2,3,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[5,8,1,3,4,2,6,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,8,7,6,3,2,1,5] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,2,1,1,1,1] => 2

[4,8,2,6,3,7,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[4,3,8,1,6,2,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,3,8,7,2,5,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,4,3,7,1,6,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,8,1,2,4,3,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[5,8,7,1,3,4,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[4,8,7,6,3,1,2,5] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[4,3,8,2,7,5,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[1,4,3,8,2,6,5,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[4,3,2,8,1,6,5,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,1,3,8,2,6,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[4,1,8,3,7,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[3,7,8,1,5,4,2,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[7,3,8,1,5,4,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,4,8,1,6,2,5,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,6,7,8,4,1,2,5] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[3,7,6,8,4,2,1,5] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[3,7,8,2,6,4,5,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[4,2,3,8,1,6,5,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,3,1,8,2,6,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[2,6,8,4,7,3,1,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[7,6,2,8,3,5,4,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[3,2,4,8,1,6,5,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,4,8,3,6,1,5,7] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[7,4,1,8,5,2,6,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[3,1,4,8,2,6,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,7,4,8,5,1,2,6] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[6,7,2,8,3,5,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[1,2,3,4,8,6,5,7] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [6,1,1] => 6

[4,8,3,6,2,1,5,7] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[3,6,5,8,2,4,1,7] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[2,4,5,7,3,8,1,6] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[4,8,1,2,5,6,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[8,1,3,5,2,6,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,2,1,6,3,8,4,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,2,5,1,8,4,3,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,6,1,5,8,4,2,7] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[6,1,4,5,8,3,2,7] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[5,6,4,8,1,3,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,5,4,3,8,2,1,7] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[5,4,3,7,2,8,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[4,6,8,3,7,2,5,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[7,4,6,3,2,8,1,5] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[1,5,4,3,7,2,8,6] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[4,7,8,5,3,1,2,6] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1] => 3

[5,7,3,4,1,2,8,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[8,5,7,4,3,6,1,2] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[4,3,8,1,6,7,5,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[1,3,8,6,4,7,5,2] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [4,1,1,1,1] => 4

[8,6,2,7,4,1,5,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,2,1,4,3,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[3,2,6,8,5,7,4,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[7,5,2,3,1,6,8,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,5,7,4,1,8,3,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,2,6,1,7,8,3,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,2,7,4,1,6,8,5] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[6,3,2,1,7,8,4,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[3,7,1,8,4,2,5,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[8,1,3,7,4,2,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[8,3,5,2,7,6,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,3,2,8,1,6,5,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,8,7,2,6,5,4,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[4,2,7,8,6,1,5,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,1,8,7,3,6,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,2,1,6,3,7,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,8,1,6,7,2,4,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,2,8,1,5,7,4,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[8,7,2,5,6,4,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[7,2,6,8,1,5,4,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[1,2,7,8,5,6,4,3] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [4,2,1,1] => 4

[7,4,8,1,6,2,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,7,1,8,2,6,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[2,1,7,3,8,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[8,2,1,7,6,5,4,3] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[8,6,7,5,1,4,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,8,6,5,4,1,3,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,4,3,2,1,6,7] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[6,4,7,3,2,1,8,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,3,7,2,1,4,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[5,8,3,6,2,1,4,7] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[5,3,7,6,2,1,4,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[3,8,7,6,2,1,4,5] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[5,8,4,2,6,1,3,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,8,3,2,5,1,7,6] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,7,2,5,1,8,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,4,2,7,5,1,3,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,2,7,8,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[4,2,7,6,5,1,3,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[2,8,7,6,5,1,3,4] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[6,5,4,3,1,7,8,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[6,4,7,3,1,5,8,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,4,7,3,1,8,6,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,4,3,6,1,8,7,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,7,6,1,4,8,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,3,7,6,1,5,8,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[3,8,7,6,1,4,5,2] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[5,8,3,2,1,4,7,6] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[3,8,7,2,1,4,5,6] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[5,8,2,6,1,4,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,4,2,7,1,5,3,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,3,2,6,1,5,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[3,2,7,6,1,4,5,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[6,5,4,1,8,7,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[6,4,7,1,5,8,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[5,3,2,1,6,4,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,2,7,1,5,4,3,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,2,7,1,6,4,3,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,2,7,1,5,6,3,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,2,7,1,5,4,6,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,4,1,6,7,8,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[5,3,1,6,7,4,8,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[4,3,1,6,5,7,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[5,2,1,6,7,4,3,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,8,1,6,5,4,3,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[6,1,7,8,5,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,1,1,1,1,1] => 3

[4,1,7,6,5,8,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[4,5,8,1,2,6,3,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[1,7,3,5,6,2,4,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[8,1,3,5,7,2,4,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[3,6,8,1,7,2,4,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,4,5,6,8,1,7,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[8,2,3,5,6,7,1,4] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[1,7,2,3,5,4,6,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [6,1,1] => 6

[8,1,2,3,5,4,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[2,7,8,1,3,5,4,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,7,8,3,5,6,1,4] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[2,4,5,7,8,1,6,3] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[4,5,8,1,7,6,3,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[8,7,3,5,6,2,1,4] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[8,7,2,1,3,5,4,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,6,4,1,7,5,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[7,6,4,3,1,8,5,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[2,3,6,7,8,1,5,4] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[3,6,8,1,2,5,4,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[7,4,1,8,5,2,3,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,1,4,2,8,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,8,2,5,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,7,5,4,2,3,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,7,2,6,5,4,3,8] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[1,7,6,3,2,5,4,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[8,6,3,1,2,5,4,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,1,7,6,3,2,4,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[3,6,8,1,7,5,4,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[2,7,8,1,6,5,4,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[7,3,1,8,6,5,4,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[8,7,2,1,6,5,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[8,7,6,3,2,1,5,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[8,6,1,5,2,7,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[8,5,1,7,4,2,6,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[2,1,7,5,4,3,8,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[2,1,7,8,3,6,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[2,1,4,8,5,7,3,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[2,1,5,4,6,8,3,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,5,3,1,6,2,4,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,5,1,4,6,8,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[8,3,7,5,2,6,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,3,7,4,6,8,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,8,3,7,6,2,1,4] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[3,8,2,4,7,5,1,6] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[3,6,8,7,5,4,1,2] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [3,2,1,1,1] => 3

[5,8,2,1,7,6,4,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,3,8,1,5,7,4,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[8,3,2,4,1,7,5,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,2,3,1,8,6,5] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,2,4,3,1,5,8,6] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,2,8,1,4,6,5,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,6,1,4,3,2,8,7] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,7,1,8,3,6,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,8,1,4,5,3,2,7] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[8,7,5,1,3,4,2,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,5,7,1,3,8,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,2,6,1,4,7,3,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,8,1,6,3,7,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[8,3,5,6,1,7,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,5,4,8,2,1,3,6] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,3,6,5,4,1,8,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,5,8,1,6,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,3,5,4,1,2,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[2,6,3,5,1,4,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,7,8,5,1,6,4,3] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,7,3,6,5,1,4,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,3,4,6,1,5,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[4,3,2,5,7,1,8,6] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,2,3,5,8,1,6,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[3,2,8,4,7,1,6,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,4,7,5,1,6,3] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[3,8,4,7,1,6,5,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,3,4,5,7,6,1,2] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[2,8,4,6,5,7,1,3] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,3,8,4,6,7,1,5] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => 5

[2,4,3,5,8,7,1,6] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[3,2,4,5,6,8,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[5,6,8,1,4,2,7,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[1,5,7,8,4,6,2,3] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[1,3,5,7,8,6,2,4] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [5,2,1] => 5

[3,5,7,8,6,1,2,4] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[3,5,1,6,8,2,7,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,3,5,6,8,1,7,4] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[5,6,4,8,2,1,7,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[5,1,6,3,8,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,5,1,6,8,3,7,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,1,2,6,8,3,7,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[5,7,1,8,6,2,3,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,6,7,5,1,8,3,4] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[5,7,2,8,6,1,3,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,5,7,8,6,2,1,4] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [4,2,1,1] => 4

[5,1,3,7,8,6,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,1,1,1,1] => 4

[3,2,5,7,8,6,1,4] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[6,2,7,5,1,8,3,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,2,6,7,5,8,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[6,2,7,5,4,1,8,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,7,5,2,4,1,8,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,7,2,5,3,8,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,7,4,5,2,1,8,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[5,1,7,8,6,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,1,1,1,1,1] => 3

[2,5,7,8,6,3,1,4] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,2,1,1] => 4

[6,3,7,5,1,8,2,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,6,7,5,3,8,2,4] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[1,6,7,5,4,2,8,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[5,7,8,6,4,1,2,3] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1] => 3

[4,1,7,2,6,5,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,4,7,1,5,6,8,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[1,6,7,4,5,2,8,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[1,6,3,7,5,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[6,7,5,4,2,1,8,3] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,7,4,2,5,1,8,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,2,7,4,5,1,8,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,7,6,1,3,8,5,4] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[7,3,5,1,8,2,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,3,5,1,8,2,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,6,7,4,1,8,3,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,1,6,7,3,8,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[3,6,5,1,8,4,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,6,1,5,8,7,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[7,5,1,6,2,8,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[4,6,1,5,8,2,3,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,3,4,7,8,1,6,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[6,8,5,4,3,2,7,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,2,1,1,1,1] => 2

[10,11,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,1,1,1,1,1,1,1,1] => 2

[8,9,6,5,4,3,2,1,7] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[6,8,5,4,3,7,2,1] => [[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[5,8,4,3,2,1,7,6] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,4,3,1,8,7,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[8,7,5,4,3,1,6,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[11,10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,1,1,1,1,1,1,1,1,1] => 2

[8,3,4,6,2,1,5,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[3,5,6,2,1,8,4,7] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[3,5,2,6,8,4,1,7] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[7,5,3,2,8,4,1,6] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[7,5,3,2,8,4,6,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[2,4,5,7,3,8,6,1] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [4,2,1,1] => 4

[4,2,8,1,5,6,3,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,6,1,8,4,3,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[5,3,6,8,1,4,2,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,5,6,8,1,3,2,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[1,4,5,6,8,3,2,7] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [5,2,1] => 5

[6,1,4,7,3,2,8,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[1,7,8,4,5,3,2,6] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[2,5,1,7,4,3,8,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[2,5,7,4,1,8,6,3] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,3,7,1,4,8,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[6,4,3,1,7,8,5,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[5,1,6,3,7,8,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[5,6,1,3,7,8,4,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[5,6,1,7,8,3,4,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,6,3,7,4,8,5,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[6,7,2,4,1,8,5,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,6,3,2,1,7,8,4] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[2,5,6,3,7,8,4,1] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,2,1,1] => 4

[2,5,6,3,1,7,8,4] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[2,6,4,7,3,1,8,5] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[6,3,7,2,8,4,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,3,7,2,8,4,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,3,2,7,1,8,4,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,3,2,1,8,4,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,3,8,4,2,1,5,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[7,3,8,4,6,2,1,5] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[5,7,3,8,2,1,6,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[2,5,1,7,3,8,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[6,3,7,1,8,5,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,2,1,7,3,8,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[6,2,7,1,8,5,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,3,1,7,8,5,4,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[4,1,3,6,8,2,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[4,2,3,6,8,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[5,3,2,1,8,4,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[3,2,6,4,5,8,1,7] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[2,4,6,5,8,1,3,7] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[1,6,2,4,5,8,3,7] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[5,3,2,1,6,8,4,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,2,4,5,8,1,3,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[1,3,4,6,5,8,2,7] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1] => 5

[1,6,3,4,5,8,2,7] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[3,4,1,8,5,2,7,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,1,4,2,7,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[1,5,3,2,8,7,4,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[8,2,1,7,5,3,4,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[1,7,6,4,5,8,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [4,1,1,1,1] => 4

[5,8,7,4,1,2,6,3] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[4,1,3,5,6,8,7,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,1,1,1] => 5

[2,4,8,6,7,1,3,5] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[4,3,6,2,8,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,3,5,8,6,7,1,4] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[3,2,5,6,8,7,1,4] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[2,1,8,5,6,7,3,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,2,8,3,5,6,7,4] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [6,1,1] => 6

[4,2,3,7,1,8,6,5] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,2,6,4,8,1,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,1,6,7,3,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,7,8,5,4,1,3,6] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[1,7,5,3,8,4,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[4,7,5,3,1,2,8,6] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[2,8,4,7,1,3,5,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[8,2,4,6,7,1,3,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[4,8,2,3,6,7,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[5,8,3,2,1,6,7,4] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,8,7,3,4,6,2,1] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,1,1] => 3

[5,1,4,2,8,7,6,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[4,7,6,5,8,2,1,3] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[5,3,7,1,6,2,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,6,8,7,1,3,4] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[6,3,2,1,8,5,7,4] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[2,7,5,4,1,8,6,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,2,5,6,8,7,1,3] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[1,8,4,2,5,6,7,3] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [5,1,1,1] => 5

[3,8,4,1,5,6,7,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[4,2,8,5,6,7,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,2,4,7,1,8,6,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[5,3,4,7,1,8,6,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[8,6,4,1,3,2,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,1,3,6,5,2,4,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,6,5,2,1,8,7,4] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,2,1,6,5,3,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,4,1,2,6,5,3,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[8,6,4,2,1,5,3,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,3,6,4,1,5,2,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,2,6,3,4,5,1,7] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[1,3,4,8,5,7,2,6] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1] => 5

[1,3,4,7,5,8,2,6] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1] => 5

[2,6,5,1,3,8,7,4] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[5,4,8,7,6,3,1,2] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[2,8,5,1,4,7,6,3] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,3,1,5,8,6,7,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[5,4,2,1,6,8,7,3] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[6,8,4,3,2,7,1,5] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[3,4,7,8,2,1,6,5] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[5,1,3,2,8,6,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[5,3,1,2,8,6,7,4] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[5,2,3,1,6,8,7,4] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,3,2,1,8,6,7,4] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[2,4,7,3,8,1,6,5] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[6,3,8,2,7,4,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,5,1,7,8,4,2,6] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,7,4,5,8,3,1,6] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[1,8,4,3,7,2,6,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[6,3,8,7,4,1,2,5] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,4,7,2,3,1,5,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,7,1,3,2,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,4,7,2,1,3,5,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,6,4,2,1,3,7,5] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[8,6,4,1,3,2,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,6,4,2,3,1,7,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,1,3,8,5,7,2,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[4,8,5,3,6,2,7,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[2,8,1,5,4,7,6,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[2,1,7,6,4,5,8,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[3,5,1,7,6,8,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,8,2,6,1,3,7,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,3,5,8,7,2,1,4] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[2,5,7,8,4,1,6,3] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[4,2,8,1,5,6,7,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[4,1,5,2,6,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[3,4,5,1,6,8,7,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[4,2,8,5,1,6,7,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,1,8,5,2,6,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[5,8,6,2,1,3,7,4] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[8,2,4,1,5,6,7,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[1,7,8,3,5,4,6,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[3,4,5,1,8,6,7,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,8,1,4,5,6,7,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[3,4,5,7,8,2,6,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,2,1] => 5

[3,4,6,8,1,5,2,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[3,4,7,2,1,8,6,5] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[3,4,8,2,1,5,6,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[3,5,6,8,4,1,2,7] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[3,5,7,2,4,8,6,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[3,5,7,2,8,4,6,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[3,5,7,8,4,1,6,2] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[3,6,7,2,8,5,4,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[3,7,8,2,4,5,6,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[3,8,2,1,4,5,6,7] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[4,1,5,6,7,8,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,1,1,1] => 5

[4,1,6,3,7,8,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[4,1,6,7,3,8,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[4,1,6,8,3,5,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[4,1,7,3,2,8,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[4,1,8,3,2,5,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[4,5,8,3,2,1,6,7] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[4,6,2,7,8,5,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[4,7,8,3,2,5,6,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1] => 3

[4,8,2,3,1,5,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,1,2,6,8,4,3,7] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[5,6,2,3,8,4,1,7] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[5,6,2,7,8,4,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[5,7,2,3,4,8,6,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [4,2,1,1] => 4

[5,7,8,3,4,2,6,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[6,1,2,3,7,8,5,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,1,1,1] => 5

[6,1,7,3,8,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[6,1,7,8,4,5,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[6,1,8,3,4,5,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,7,2,3,8,5,4,1] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,1,1,1] => 3

[7,1,2,3,4,8,6,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,1,1,1] => 5

[7,1,2,8,4,5,6,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[5,8,1,2,4,3,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,5,8,6,1,2,4,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[3,1,6,8,2,4,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[3,6,2,8,1,5,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,6,1,3,8,4,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[1,7,5,2,3,4,6,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[2,7,5,1,3,8,4,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[8,2,1,3,7,6,4,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[8,2,5,1,3,7,4,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,2,7,5,3,1,6,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,5,2,4,8,1,3] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,1,8,6,3,2,4,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[6,8,1,5,3,2,4,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,5,1,2,4,8,3,7] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[7,8,1,6,4,2,3,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[8,4,1,2,5,6,3,7] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[1,7,3,6,5,2,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[8,1,3,7,2,6,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[7,3,2,6,5,1,8,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,2,7,4,5,6,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[8,2,3,6,5,1,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[3,9,8,7,6,5,4,2,1] => [[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [2,1,1,1,1,1,1,1] => 2

[2,9,8,7,6,5,4,3,1] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [2,1,1,1,1,1,1,1] => 2

[1,8,7,6,5,3,2,4] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [3,1,1,1,1,1] => 3

[2,8,7,6,3,4,5,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [4,1,1,1,1] => 4

[1,8,7,6,5,2,3,4] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[1,9,8,7,6,5,4,2,3] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [3,1,1,1,1,1,1] => 3

[2,10,9,8,7,6,5,4,3,1] => [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [2,1,1,1,1,1,1,1,1] => 2

[7,2,8,6,5,4,1,3] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[6,3,2,8,5,1,7,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,7,2,5,6,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[6,8,5,4,3,1,7,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,6,4,1,3,7,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,6,1,5,3,7,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,6,1,8,5,2,7,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,4,1,2,8,6,7,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[1,7,5,6,3,4,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[4,2,3,1,7,8,5,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,2,8,4,1,7,6,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,6,3,2,5,8,4,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[8,3,2,1,5,4,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,3,7,1,5,8,4,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[2,5,1,8,4,3,7,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,3,5,4,6,8,2,7] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[6,1,3,4,5,8,2,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[8,3,4,1,5,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,5,4,2,6,8,3,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[8,2,6,4,1,7,3,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,8,4,5,2,1,6] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,2,5,1,8,4,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[1,7,3,2,5,4,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[8,7,2,1,5,3,4,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[3,6,1,5,8,7,4,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[8,3,6,4,5,1,7,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,4,7,2,3,5,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[4,1,3,5,7,8,6,2] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,1,1,1] => 5

[4,7,3,2,8,1,6,5] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,7,3,6,1,5,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[2,4,7,3,8,5,6,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[2,8,6,1,5,7,3,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[7,8,2,5,4,3,1,6] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[1,8,3,4,2,7,6,5] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[8,5,3,7,4,2,6,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[5,7,3,2,4,1,8,6] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,8,3,4,7,1,5,6] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[4,1,3,6,7,8,2,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[1,7,6,3,2,5,8,4] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[3,8,1,5,6,2,7,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[8,2,5,6,1,7,4,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,1,5,2,8,6,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[1,8,6,4,5,2,7,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,8,5,3,6,2,7,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[2,5,4,1,8,7,6,3] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[4,7,2,6,5,8,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,8,1,4,2,7,3,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,3,4,7,1,8,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[1,8,2,4,5,6,7,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [6,1,1] => 6

[5,2,4,1,6,8,7,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,2,5,7,6,1,8,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[4,3,5,6,1,8,7,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[5,3,4,1,7,6,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,4,7,3,5,6,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1] => 5

[5,1,3,6,4,8,7,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[1,3,2,7,5,8,6,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,4,2,5,8,3,7,6] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,4,2,7,8,5,6,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[3,1,2,6,5,8,4,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[4,1,2,6,8,5,3,7] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[1,5,2,4,8,7,6,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [4,1,1,1,1] => 4

[1,2,6,4,8,7,5,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [4,1,1,1,1] => 4

[1,2,7,4,8,6,5,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [4,1,1,1,1] => 4

[1,3,2,7,5,8,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[2,3,1,7,5,4,8,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,3,2,8,5,7,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,4,2,5,8,7,3,6] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,5,2,4,8,7,3,6] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,2,7,8,5,6,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[1,2,6,8,5,7,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[1,2,6,8,3,7,5,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[1,5,7,8,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,5,2,7,8,4,6,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[1,4,7,2,8,3,6,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,6,7,3,4,8,5,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[1,5,3,7,4,8,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[2,8,4,1,5,3,7,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,8,4,1,5,7,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[1,2,8,4,7,3,6,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[1,2,7,4,8,3,6,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[1,2,6,4,8,3,7,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[1,5,2,4,8,3,7,6] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,8,4,5,7,2,3,6] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[1,8,3,5,2,7,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[2,8,3,5,1,4,7,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,8,6,1,4,7,5] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[1,6,7,8,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[2,3,8,7,4,1,6,5] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[1,2,5,8,7,6,3,4] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => [4,2,1,1] => 4

[1,2,6,8,7,5,3,4] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [4,2,1,1] => 4

[5,6,2,1,7,8,3,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[2,6,1,4,5,8,7,3] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4

[2,3,7,6,4,5,8,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [5,1,1,1] => 5

[2,6,1,7,5,8,3,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,6,1,7,4,8,5,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[5,1,2,7,8,4,3,6] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[2,6,1,7,4,8,3,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,6,4,1,7,8,2,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[5,4,6,1,3,8,7,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,6,4,1,5,8,7,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,6,1,5,4,8,7,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[2,6,1,4,7,8,5,3] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[2,1,5,3,8,6,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[1,2,3,8,5,6,4,7] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1] => 5

[1,2,3,8,6,4,5,7] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [6,1,1] => 6

[1,2,3,8,6,5,4,7] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [5,1,1,1] => 5

[1,2,3,8,5,4,6,7] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [6,1,1] => 6

[2,6,1,5,4,8,3,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,1,2,4,8,3,7,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[5,6,3,1,4,8,2,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,4,3,1,8,6,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[5,4,6,3,1,8,7,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,6,4,5,1,8,7,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,6,5,4,1,8,7,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,2,6,1,7,8,4,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[5,1,6,2,8,7,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,1,3,7,8,6,4,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[5,2,4,1,7,8,6,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[4,3,1,2,8,6,7,5] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[5,1,4,2,8,6,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[1,2,3,8,6,7,4,5] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1] => 5

[1,2,3,8,7,5,4,6] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [5,1,1,1] => 5

[1,2,3,8,7,4,5,6] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [6,1,1] => 6

[1,2,3,8,5,7,4,6] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1] => 5

[5,4,1,2,8,7,6,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[3,1,6,2,8,7,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[1,2,3,9,4,5,6,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [8,1] => 8

[1,2,9,3,4,5,6,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [8,1] => 8

[1,2,3,4,5,10,6,7,8,9] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1] => [9,1] => 9

[1,8,3,4,2,5,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,8,4,3,2,5,6,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,9,3,2,4,5,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [7,1,1] => 7

[8,4,7,6,5,3,2,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,1,1,1,1,1,1] => 2

[8,4,7,5,6,3,2,1] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,1,1,1,1,1] => 3

[8,5,7,4,6,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[8,7,6,3,5,4,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 2

[8,6,7,3,5,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[8,5,7,3,6,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[8,1,7,4,6,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[8,1,7,3,6,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[8,2,7,3,6,5,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[8,3,7,2,6,5,4,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[8,5,7,2,6,4,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[8,6,7,2,5,4,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[8,7,6,2,5,4,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[8,4,7,1,6,5,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,3,7,1,6,5,4,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,2,7,1,6,5,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,1,7,2,6,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[8,7,6,2,5,3,4,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[8,1,7,6,5,3,4,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[8,3,7,6,5,2,4,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[8,4,7,6,5,2,3,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[8,5,7,6,4,2,3,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,7,5,4,1,3,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,7,6,4,1,3,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,7,6,5,1,4,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,6,4,5,1,3,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,6,2,5,1,4,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,6,1,5,2,4,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,8,1,3,2,5,4,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,8,1,4,2,5,3,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,8,3,6,1,4,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,8,2,5,3,6,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[7,8,2,5,1,4,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,8,1,4,3,6,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,8,1,4,3,7,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,8,2,5,1,4,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,8,2,5,3,7,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,8,2,5,4,7,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[2,5,4,7,6,8,1,3] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,5,3,7,6,8,1,4] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,5,1,4,3,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,6,1,4,3,7,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,6,5,8,1,4,3,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,6,1,5,3,7,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,6,3,7,4,8,1,5] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,6,4,7,5,8,1,3] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[5,8,3,6,4,7,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,8,2,6,4,7,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,8,2,6,3,7,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,8,1,5,3,7,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,8,1,5,2,6,3,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,8,3,7,1,5,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,8,3,7,1,4,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,1,3,2,6,4,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,8,4,7,1,3,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,8,4,7,1,3,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,8,5,7,1,3,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,7,6,8,2,4,1,3] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,7,6,8,1,3,2,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,7,5,8,1,3,2,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,7,1,3,2,6,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,7,1,4,2,6,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,7,5,8,1,4,2,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,7,6,8,1,4,2,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,7,6,8,2,5,1,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,7,6,8,2,5,1,3] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,7,5,8,3,6,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,7,5,8,2,6,1,3] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,7,5,8,2,6,1,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,7,4,8,2,6,1,5] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,7,4,8,1,5,2,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,7,1,5,2,6,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,7,2,6,1,5,4,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,7,2,6,5,8,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,7,3,6,5,8,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,6,5,8,4,7,1,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,6,5,8,4,7,1,3] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,6,5,8,3,7,1,4] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,6,3,7,1,5,4,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[7,6,4,2,8,5,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[6,8,4,3,7,2,1,5] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[6,7,4,3,5,1,8,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,7,3,5,4,8,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[7,6,8,3,5,2,4,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,6,4,2,5,1,8,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,3,8,2,4,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,3,4,8,7,2,5,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[6,3,8,4,7,2,1,5] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[6,2,8,4,1,7,5,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,2,7,4,1,5,3,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,4,7,5,8,2,1] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [4,1,1,1,1] => 4

[6,3,5,7,8,4,2,1] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [4,1,1,1,1] => 4

[4,6,8,3,5,7,2,1] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,3,1,1] => 3

[5,3,8,2,4,1,6,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,7,8,3,5,6,2,1] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,3,1,1] => 3

[5,3,4,8,2,7,6,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[6,4,3,5,8,2,1,7] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[6,3,5,8,7,2,4,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[5,8,4,2,3,1,6,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[5,8,4,2,3,1,7,6] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,4,3,8,5,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[6,4,2,8,5,3,1,7] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[6,4,5,3,7,1,8,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,4,2,5,1,7,3,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,7,2,4,1,6,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,5,8,3,6,7,2,1] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,3,1,1] => 3

[4,5,8,3,7,2,6,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[5,3,6,8,2,1,4,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[5,3,6,7,1,8,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,5,7,3,6,8,2,1] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,3,1,1] => 3

[5,7,4,8,6,3,2,1] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,2,1,1,1,1] => 2

[3,2,6,5,1,8,7,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,9,8,5,4,3,2,1] => [[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[6,8,5,9,7,4,3,2,1] => [[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [2,2,1,1,1,1,1] => 2

[6,7,8,9,5,4,3,2,1] => [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,1,1,1,1,1] => 4

[5,6,7,8,9,4,3,2,1] => [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,1,1,1,1] => 5

[4,5,6,7,8,9,3,2,1] => [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,1,1,1] => 6

[3,4,5,6,7,8,9,2,1] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,1,1] => 7

[2,4,5,6,7,8,1,9,3] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[8,9,10,7,6,5,4,3,2,1] => [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,1,1,1,1,1,1,1] => 3

[7,8,9,10,6,5,4,3,2,1] => [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,1,1,1,1,1,1] => 4

[5,4,3,2,1,10,9,8,7,6] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[5,6,7,8,9,10,4,3,2,1] => [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,1,1,1,1] => 6

[4,5,6,7,8,9,10,3,2,1] => [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,1,1,1] => 7

[3,4,5,6,7,8,9,10,2,1] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,1,1] => 8

[2,4,5,6,7,8,9,1,10,3] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[1,6,2,5,3,4,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,3,8,2,4,6,5,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,6,8,2,5,3,7,4] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,8,2,5,3,4,7,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,3,5,2,8,4,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,2,7,3,5,4,6,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[1,8,2,7,3,4,6,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,5,8,2,3,7,4,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,6,8,2,3,5,4,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[7,1,5,8,4,2,3,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[8,1,5,7,4,2,3,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,1,4,5,8,2,3,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[7,4,1,6,2,8,3,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,4,1,7,2,6,3,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,1,4,7,5,2,3,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,1,4,8,5,2,3,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,8,3,1,2,4,6,5] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[8,7,1,6,4,2,3,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,6,1,7,4,2,3,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,6,1,8,4,2,3,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,3,7,5,1,2,4,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[6,7,1,8,4,2,3,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,8,1,7,4,2,3,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[7,1,8,5,4,2,3,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[2,1,7,8,5,3,4,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,6,3,1,2,4,8,5] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[6,1,2,3,8,7,5,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1] => 4

[6,8,1,4,2,3,7,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[6,8,3,1,2,7,4,5] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[6,7,3,1,2,8,4,5] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[6,7,1,4,2,3,8,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[6,1,2,5,4,8,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[7,2,1,5,8,3,4,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[1,3,6,8,7,4,2,5] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,2,1,1] => 4

[2,6,1,5,8,3,4,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[5,7,1,6,8,4,3,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[4,8,1,2,5,7,3,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[8,3,6,4,7,2,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[1,7,8,4,6,2,5,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[2,7,3,1,5,8,4,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,7,4,6,8,1,3,5] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,7,5,8,6,4,1,3] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[6,5,8,7,1,4,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,6,1,4,5,8,2,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[1,6,7,4,5,3,8,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[6,1,7,3,5,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[5,6,8,7,2,4,1,3] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[6,8,5,7,1,2,4,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[8,2,4,3,7,5,6,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[6,8,2,1,5,7,3,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[7,2,8,4,1,6,3,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,7,8,1,4,6,3,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,7,1,3,4,5,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[6,3,4,2,8,7,5,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[4,3,8,7,5,2,6,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[5,3,8,6,1,2,4,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[2,5,6,3,4,8,7,1] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,2,1,1] => 4

[2,5,3,6,8,7,4,1] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [4,1,1,1,1] => 4

[4,8,7,3,5,2,6,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,3,5,4,8,7,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[4,3,8,6,1,5,2,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,2,6,8,1,4,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,5,2,7,1,4,3,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[1,8,5,3,6,2,4,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[5,1,7,2,4,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,5,2,8,3,7,6,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[8,2,1,3,5,6,7,4] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[6,3,1,4,7,5,8,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[2,8,3,6,7,5,4,1] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [4,1,1,1,1] => 4

[3,1,7,2,8,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[3,6,1,4,7,2,8,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[7,1,3,6,2,8,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,2,7,4,5,8,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[2,1,8,4,5,7,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,8,5,7,3,2,4,6] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[2,1,8,5,4,3,6,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[2,7,4,1,5,3,8,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,4,8,6,2,3,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[2,7,1,4,6,3,8,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,7,5,6,8,1,3,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[7,1,3,2,8,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,8,5,4,1,3,6,7] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[3,8,6,5,1,4,2,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[1,3,4,8,6,5,2,7] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [4,2,1,1] => 4

[4,1,8,6,5,3,2,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[7,2,8,5,3,6,4,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[5,2,8,4,3,7,6,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[6,7,5,1,2,8,3,4] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,6,8,4,7,2,5,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[7,6,3,8,4,2,5,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[2,6,3,8,4,7,5,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[7,2,3,6,5,8,4,1] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,1,1,1,1] => 4

[5,8,1,2,6,4,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[6,5,7,2,8,4,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,5,1,2,8,4,6,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[5,4,8,3,6,2,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,4,5,8,2,7,3,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[5,7,3,6,4,8,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[1,5,6,4,8,2,7,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[3,1,5,6,4,8,7,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[3,5,1,6,4,7,8,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[1,2,6,3,5,8,7,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [5,1,1,1] => 5

[2,3,5,1,8,4,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,3,6,1,8,5,4,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,3,6,1,8,5,7,4] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[1,2,5,8,4,7,3,6] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[1,3,5,8,2,4,7,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,4,6,8,3,2,5,7] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[3,5,7,4,8,1,2,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,6,1,7,5,8,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,3,7,5,6,8,2,4] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[1,2,6,7,3,8,5,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[1,2,5,7,3,8,6,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[3,5,4,6,8,2,7,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[2,3,6,5,8,7,1,4] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4

[1,2,7,5,6,8,4,3] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [5,1,1,1] => 5

[3,1,6,7,5,8,4,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[3,5,7,4,8,2,6,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[2,4,7,6,8,3,5,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[1,4,6,8,3,5,7,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,3,1] => 4

[1,2,5,8,7,4,3,6] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [4,2,1,1] => 4

[5,7,1,2,8,6,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[3,2,7,4,6,8,1,5] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,3,6,2,7,1,4,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[2,6,3,4,7,1,5,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,7,3,4,5,8,1,6] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[3,7,4,5,6,8,1,2] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[2,5,7,3,6,8,1,4] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[4,7,6,2,3,8,1,5] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[7,3,5,2,4,8,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,2,1,7,3,4,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[5,2,1,8,3,4,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,4,1,3,8,5,7,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[6,2,3,1,8,4,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,5,2,7,1,4,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,6,2,4,7,1,5,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,2,1,7,3,4,5,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,1,6,2,3,4,5,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[8,2,7,3,4,5,6,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[8,1,6,2,3,4,5,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[8,1,5,7,2,3,6,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[7,2,1,8,3,4,5,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,3,8,2,4,5,6,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[7,2,8,3,4,5,6,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[1,7,8,3,4,5,6,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1] => 5

[1,4,5,8,3,6,7,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,3,1] => 4

[2,5,7,1,8,3,6,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,2,7,1,8,4,5,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,7,1,3,8,5,6,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[1,6,2,8,4,5,7,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[5,3,4,6,8,2,7,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[4,6,3,8,7,1,2,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,4,5,8,7,1,2,3] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[5,3,4,8,7,1,2,6] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[3,2,8,7,1,4,6,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,3,7,6,1,2,4,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[1,8,3,7,2,4,5,6] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[3,8,1,7,2,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[6,2,8,7,1,4,5,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[3,8,7,1,4,5,6,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[2,8,6,1,3,4,5,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[2,7,6,1,3,4,5,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[1,7,6,2,3,4,5,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[1,8,6,2,3,4,5,7] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[2,8,7,3,4,5,6,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [5,1,1,1] => 5

[1,5,8,7,2,3,6,4] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[8,7,6,1,3,4,5,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[4,1,8,5,3,2,7,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[1,2,8,3,7,5,4,6] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[6,1,3,2,8,5,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[5,6,1,2,8,4,3,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[1,6,3,8,7,4,2,5] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[4,3,8,1,2,6,7,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[1,2,3,4,5,10,9,8,7,6] => [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [6,1,1,1,1] => 6

[11,12,9,10,7,8,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[3,1,2,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,1] => 8

[2,4,1,3,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[2,3,5,1,4,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[2,3,4,6,1,5,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[2,3,4,5,7,1,6,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[2,3,4,5,6,8,1,7,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[3,6,8,7,1,2,5,4] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[6,5,7,2,4,8,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[3,4,1,6,5,8,7,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[3,5,1,2,4,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[3,7,5,2,1,4,6,8] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[5,2,7,4,1,3,6,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[4,3,5,1,2,8,7,6] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,1,4,6,2,8,7,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[3,4,5,6,1,8,7,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[3,4,5,8,7,2,1,6] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [4,2,1,1] => 4

[8,4,7,5,2,1,6,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,1,4,7,2,3,6,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[6,3,5,1,7,4,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,1,4,8,7,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[5,4,8,1,6,3,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,4,7,6,3,8,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[4,6,3,7,5,8,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,1,3,5,8,6,2,7] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[5,7,4,3,8,1,2,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[1,4,8,3,7,6,5,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,2,1,1,1] => 3

[4,3,8,2,1,6,5,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[1,8,2,7,6,5,4,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [3,1,1,1,1,1] => 3

[3,8,1,6,7,5,4,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[3,7,2,6,8,5,1,4] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[8,1,3,6,5,7,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[1,7,8,5,4,3,6,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [3,2,1,1,1] => 3

[1,8,4,5,3,2,6,7] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[7,8,5,4,3,1,6,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,8,7,1,4,2,5,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,6,1,4,2,7,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,4,1,8,5,7,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[3,6,5,1,2,8,4,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[3,8,5,6,7,2,1,4] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4

[8,5,6,1,4,2,3,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,6,5,4,7,1,3,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[1,6,4,5,7,2,3,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[8,3,6,1,7,2,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,8,6,5,7,3,4,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1] => 3

[5,2,4,6,1,7,3,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,5,4,6,1,8,2,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,1,5,7,6,8,2,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[1,4,6,3,7,2,8,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[1,7,3,6,5,2,8,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[8,6,2,5,4,1,7,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[3,7,2,6,5,4,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[7,6,2,5,4,3,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[2,8,3,6,1,7,5,4] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,7,2,5,1,6,4,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,5,1,3,7,2,8,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,1,3,7,5,2,8,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,3,6,2,8,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[8,1,3,6,2,7,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[1,2,4,7,3,8,6,5] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[7,1,8,2,6,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[3,1,8,6,2,7,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[4,1,7,8,2,6,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[5,6,1,8,2,7,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,2,7,8,1,6,5,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,2,8,6,1,7,5,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,2,8,1,6,5,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[1,8,7,2,6,5,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[2,8,7,1,6,5,4,3] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,8,7,1,6,5,4,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[4,8,7,5,1,6,3,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,7,8,5,1,4,3,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[7,3,8,5,4,1,6,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[3,4,8,6,5,1,7,2] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[8,3,7,5,1,6,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,6,7,1,5,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,4,6,5,1,2,8,7] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[7,3,5,1,2,8,6,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[1,3,2,7,4,8,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[7,2,1,6,3,8,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[2,3,1,7,6,4,8,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,6,7,1,2,8,4,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[4,7,5,1,2,8,6,3] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,7,1,6,2,8,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[7,6,1,2,8,5,4,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[2,7,1,3,8,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[8,6,1,2,7,5,4,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[1,7,2,3,8,6,5,4] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [4,1,1,1,1] => 4

[8,7,1,2,6,5,4,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[7,8,1,2,6,5,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[3,8,1,6,2,7,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,8,5,1,2,7,6,3] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[5,6,8,1,2,7,4,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[2,1,3,7,4,8,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[4,2,7,3,6,8,1,5] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,3,6,4,2,8,1,7] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[4,1,5,3,8,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,6,3,4,7,5,1,8] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[2,6,3,5,4,8,1,7] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,7,4,3,5,8,1,6] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[7,3,6,4,2,8,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,4,5,2,8,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,3,1,8,2,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,5,4,2,7,3,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[5,4,1,7,2,6,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,4,1,8,3,2,6,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,4,2,1,8,3,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,1,5,3,8,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,8,4,2,7,3,1,6] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,5,3,2,6,4,1,7] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,3,1,7,2,5,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,5,2,6,4,3,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[7,1,6,2,5,4,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[8,1,7,3,5,6,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[8,1,3,7,2,6,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[1,7,6,8,3,2,4,5] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[7,1,5,8,4,2,6,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[7,3,8,4,5,2,6,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[6,1,8,4,3,2,5,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,2,7,3,4,6,5,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[2,6,1,7,3,5,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,1,5,8,4,2,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[5,7,4,8,3,2,1,6] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[5,4,8,2,7,3,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,4,7,5,3,2,1,8] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[1,8,3,7,6,2,4,5] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[5,8,3,2,6,4,1,7] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,8,2,4,7,5,1,3] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[7,3,8,2,6,4,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[2,6,8,7,3,4,1,5] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[6,8,1,7,2,5,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[3,8,7,4,5,6,1,2] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[2,7,6,3,5,4,1,8] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[1,7,6,5,2,4,3,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,8,6,5,3,2,4,7] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[3,8,7,4,6,2,5,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[7,1,8,6,5,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[8,4,7,5,3,2,1,6] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,7,2,5,4,3,1,6] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[1,5,7,8,4,3,6,2] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [4,2,1,1] => 4

[6,3,8,1,5,4,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,6,5,7,4,1,3,8] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[2,5,4,7,1,8,6,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,2,1,8,7,6,4,3] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[4,8,6,7,5,3,1,2] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[6,5,4,8,2,1,7,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,2,1,4,3,6,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[3,5,7,4,2,6,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[4,2,1,6,5,3,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,5,4,7,1,6,2,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,4,5,8,6,7,1,2] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[4,3,5,1,6,8,7,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[7,6,5,4,3,2,9,1,8] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[2,4,6,8,1,3,5,7,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[2,4,6,1,3,5,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[5,10,4,9,3,8,2,7,1,6] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[2,4,6,8,1,3,5,7,9,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[2,4,6,1,3,5,7,8,9,10] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[2,4,1,3,5,6,7,8,9,10] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[2,1,7,3,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,8,2,7,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[4,1,7,2,8,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,3,2,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,8,2,4,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,7,2,5,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,5,2,8,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,7,2,8,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,8,2,7,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,8,2,4,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,6,2,4,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,8,2,4,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,8,2,5,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,6,2,5,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[8,1,6,2,7,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,8,2,7,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,7,2,8,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,7,2,5,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[6,1,7,2,4,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[5,1,6,2,4,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,5,2,4,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,6,2,4,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,6,2,5,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,6,2,8,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[7,1,8,2,6,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 4

[1,8,6,4,7,2,3,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[7,4,8,1,5,2,3,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,5,8,3,2,4,1,6] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[1,8,5,4,3,6,2,7] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[1,8,5,4,3,7,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[1,8,5,4,7,2,6,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,8,4,2,5,3,7,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[7,4,8,2,1,3,5,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,1,7,4,2,6,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,5,4,3,7,1,8,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,4,3,8,2,7,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[6,5,4,3,8,7,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[7,6,3,8,5,4,1,2] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[5,4,8,2,1,7,3,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,2,8,5,1,3,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,6,4,8,5,1,2,3] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,2,8,6,3,1,4,5] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[7,2,8,6,1,5,3,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,1,7,8,3,6,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,4,1,7,8,2,3,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,3,1,7,8,5,2,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,4,3,1,6,7,2,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,5,4,2,7,8,3,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[5,4,2,1,6,7,8,3] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[5,4,3,1,6,7,8,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[6,3,8,1,2,5,7,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[3,6,7,1,2,5,8,4] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[7,8,1,3,2,4,6,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[7,8,2,1,3,5,4,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[5,2,3,7,1,8,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[2,5,3,6,1,8,7,4] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,6,7,3,1,8,4,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,6,7,1,3,5,4,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[6,2,8,3,1,7,4,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,2,5,7,1,8,4,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,3,1,2,7,8,6,5] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[5,1,2,7,3,6,4,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[5,1,4,7,8,2,3,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[5,3,4,7,8,6,1,2] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[3,5,4,6,8,7,1,2] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[1,5,4,6,8,2,3,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[1,6,7,3,2,4,8,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[5,2,4,7,8,1,6,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[4,2,5,7,6,1,8,3] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[4,1,5,7,6,2,3,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[4,5,1,8,6,2,3,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[5,2,1,8,3,6,4,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,6,5,4,2,1,8,3] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[7,6,5,4,8,1,3,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,6,5,4,2,1,9,3] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[7,6,5,8,2,1,4,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,6,5,3,2,1,9,4] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[8,7,6,4,3,2,1,9,5] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[8,7,5,4,3,2,1,9,6] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[8,5,4,3,2,1,7,6] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[8,6,5,4,3,2,1,9,7] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[7,6,5,4,3,2,1,9,8] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[7,6,5,4,1,8,3,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[9,8,7,6,5,4,2,1,10,3] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,5,2,8,1,4,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[9,8,7,6,5,3,2,1,10,4] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,5,8,4,1,3,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[9,8,7,6,4,3,2,1,10,5] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,8,5,2,1,4,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[9,8,7,5,4,3,2,1,10,6] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 2

[7,8,6,3,2,1,5,4] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,9,5,4,3,2,1,7,6] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [2,2,1,1,1,1,1] => 2

[9,8,6,5,4,3,2,1,10,7] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 2

[8,7,4,3,2,1,6,5] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[9,6,5,4,3,2,1,8,7] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[9,7,6,5,4,3,2,1,10,8] => [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 2

[7,8,1,3,2,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,6,7,1,5,2,3,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,2,5,6,1,4,7,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[3,5,2,6,1,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,5,4,6,7,8,1,2] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[1,5,3,6,2,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[2,5,4,6,7,1,3,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,6,7,4,5,1,3,8] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,2,5,6,7,1,3,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[6,1,7,3,2,4,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,3,2,5,4,1,6,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,3,5,4,2,1,6,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[7,3,5,2,4,1,6,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,5,2,1,4,3,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,3,4,1,6,2,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,3,4,1,6,5,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,3,4,1,5,6,2,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,3,2,5,1,6,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,6,5,4,1,3,2,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,3,4,1,5,2,6,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,7,4,6,2,8,5,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[5,6,1,4,7,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[5,3,2,1,7,4,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,3,4,5,8,1,7,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[2,4,5,1,6,8,7,3] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[3,7,5,4,6,8,1,2] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[3,1,4,6,5,8,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[2,3,4,5,8,6,1,7] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,2,1] => 5

[2,3,4,5,8,1,7,6] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[3,1,4,6,5,8,7,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[5,6,1,4,7,2,8,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,3,1,7,5,6,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[3,7,5,2,6,8,1,4] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[3,7,5,2,6,8,4,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[5,6,1,2,7,4,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[6,3,5,2,4,7,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[5,3,2,1,4,7,8,6] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[7,1,5,2,6,8,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[1,7,4,6,5,8,3,2] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [4,1,1,1,1] => 4

[2,7,4,6,1,8,3,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,7,4,6,1,8,5,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,3,6,7,1,5,8,4] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[4,3,2,6,7,1,8,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,1,5,4,6,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[2,7,4,6,5,8,1,3] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[7,3,4,5,8,6,1,2] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[7,3,4,5,8,1,6,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[7,3,4,5,8,1,2,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[1,3,4,5,8,2,7,6] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => 5

[6,3,4,5,8,2,7,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[7,3,4,5,8,6,2,1] => [[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,1,1,1,1] => 4

[5,7,4,6,1,8,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,3,4,5,8,1,2,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[7,3,4,5,8,2,6,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[7,6,4,2,8,3,5,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[8,6,4,2,7,5,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[8,4,7,3,6,5,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,4,6,1,7,5,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,4,7,1,8,3,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,4,8,3,6,1,5,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,10,7,9,5,6,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,6,8,5,7,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,6,9,5,7,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,6,9,5,8,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,7,8,4,6,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,7,9,4,6,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,6,8,4,7,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,6,9,4,7,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,6,9,4,8,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,5,8,4,7,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,5,9,4,7,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,5,9,4,8,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[6,10,5,9,4,8,3,7,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,7,8,5,6,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,7,9,5,6,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,6,8,5,7,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,6,9,5,7,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,6,9,5,8,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,7,8,4,6,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,7,9,4,6,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,6,8,4,7,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,6,9,4,7,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,6,9,4,8,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,5,8,4,7,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,5,9,4,7,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,5,9,4,8,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[6,10,5,9,4,8,2,7,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,7,8,3,6,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,7,9,3,6,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,6,8,3,7,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,6,9,3,7,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,6,9,3,8,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,5,8,3,7,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,5,9,3,7,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,5,9,3,8,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[6,10,5,9,3,8,2,7,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[9,10,4,8,3,7,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[8,10,4,9,3,7,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,10,4,9,3,8,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[6,10,4,9,3,8,2,7,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[10,12,9,11,7,8,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,7,9,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,7,9,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,7,10,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,6,8,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,6,8,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,6,9,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,6,9,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,6,10,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,6,9,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,6,9,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,6,10,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,6,10,5,9,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,7,8,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,7,8,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,7,9,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,7,9,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,7,10,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,6,8,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,6,8,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,6,9,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,6,9,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,6,10,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,6,9,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,6,9,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,6,10,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,6,10,4,9,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,5,8,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,5,8,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,5,9,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,5,9,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,5,10,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,5,9,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,5,9,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,5,10,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,5,10,4,9,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,6,10,5,9,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,6,11,5,9,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,6,11,5,10,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,6,11,5,10,4,9,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[7,12,6,11,5,10,4,9,3,8,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,7,8,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,7,8,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,7,9,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,7,9,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,7,10,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,6,8,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,6,8,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,6,9,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,6,9,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,6,10,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,6,9,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,6,9,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,6,10,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,6,10,5,9,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,7,8,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,7,8,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,7,9,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,7,9,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,7,10,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,6,8,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,6,8,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,6,9,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,6,9,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,6,10,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,6,9,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,6,9,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,6,10,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,6,10,4,9,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,5,8,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,5,8,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,5,9,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,5,9,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,5,10,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,5,9,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,5,9,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,5,10,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,5,10,4,9,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,6,10,5,9,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,6,11,5,9,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,6,11,5,10,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,6,11,5,10,4,9,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[7,12,6,11,5,10,4,9,2,8,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,7,8,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,7,8,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,7,9,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,7,9,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,7,10,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,6,8,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,6,8,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,6,9,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,6,9,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,6,10,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,6,9,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,6,9,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,6,10,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,6,10,3,9,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,5,8,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,5,8,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,5,9,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,5,9,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,5,10,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,5,9,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,5,9,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,5,10,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,5,10,3,9,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,6,10,5,9,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,6,11,5,9,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,6,11,5,10,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,6,11,5,10,3,9,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[7,12,6,11,5,10,3,9,2,8,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,9,10,4,8,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,9,11,4,8,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,8,10,4,9,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,8,11,4,9,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,8,11,4,10,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,7,10,4,9,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,7,11,4,9,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,7,11,4,10,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,7,11,4,10,3,9,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,6,10,4,9,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,6,11,4,9,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,6,11,4,10,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,6,11,4,10,3,9,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[7,12,6,11,4,10,3,9,2,8,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[11,12,5,10,4,9,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[10,12,5,11,4,9,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[9,12,5,11,4,10,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,12,5,11,4,10,3,9,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[7,12,5,11,4,10,3,9,2,8,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[6,12,5,11,4,10,3,9,2,8,1,7] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[6,2,1,7,3,5,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[2,1,7,3,5,8,6,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[2,6,3,1,4,8,5,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[2,1,8,6,3,5,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[2,7,3,1,4,8,5,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[3,2,1,6,4,5,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[3,2,1,5,7,8,4,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[2,7,3,1,5,6,8,4] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[2,4,7,5,1,6,8,3] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[4,3,7,5,6,1,8,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,3,6,8,5,1,7,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[2,1,6,8,3,7,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,2,1,5,6,8,4,7] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[3,2,1,5,7,4,6,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,1,7,3,6,4,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,2,4,1,7,5,6,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,8,4,7,5,1,6,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[8,4,3,6,1,7,5,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,2,1,7,3,5,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[2,6,1,8,3,5,4,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,7,3,1,5,6,4,8] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,4,7,5,1,6,3,8] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[8,2,4,1,7,5,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,8,6,3,1,7,4,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,4,7,1,8,5,3,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,4,8,5,1,6,3,7] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,1,8,3,6,4,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,2,1,6,7,4,5,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,2,1,7,4,5,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[3,2,1,6,8,4,5,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,1,8,3,7,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[2,4,8,5,1,6,7,3] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[4,3,8,5,6,1,7,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,1,8,4,5,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[3,8,1,5,7,2,4,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[1,2,6,8,4,7,3,5] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[4,1,2,7,8,3,6,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[3,5,7,4,8,6,1,2] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[8,7,1,2,5,4,6,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[5,8,1,2,3,7,6,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[1,2,5,3,7,6,4,8] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[7,1,6,2,8,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[1,2,6,3,8,5,4,7] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[1,2,7,3,8,5,4,6] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[4,1,2,7,8,6,3,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[1,8,6,3,2,4,5,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[3,1,7,8,6,2,4,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[1,8,7,2,4,5,6,3] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [5,1,1,1] => 5

[1,7,6,3,2,4,5,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[3,8,6,4,7,5,1,2] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[6,1,8,2,7,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[1,2,5,3,8,6,4,7] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[1,2,6,3,7,5,4,8] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[2,9,8,7,6,5,4,1,3] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [2,2,1,1,1,1,1] => 2

[2,8,7,6,5,1,4,3] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[2,7,6,3,1,5,8,4] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[1,8,4,3,6,5,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[1,8,4,6,5,3,2,7] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[7,4,2,1,6,5,3,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,4,1,3,5,2,6,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,6,2,1,4,8,5,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,4,7,1,5,2,8,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,6,7,4,1,5,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[4,3,2,7,1,5,8,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[5,4,8,6,1,2,3,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[1,8,2,7,4,3,6,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[6,5,8,2,3,7,1,4] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,4,8,5,3,1,7,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,7,8,6,1,3,2,4] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,4,8,1,6,3,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,1,2,8,6,4,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[4,1,6,3,5,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[2,4,5,3,8,6,1,7] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[1,8,5,3,2,7,6,4] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,8,4,3,6,2,7,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[2,5,7,3,6,8,4,1] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,2,1,1] => 4

[5,3,2,1,4,8,6,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[5,3,1,4,2,8,6,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,6,1,3,8,5,4,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[3,4,7,8,1,2,6,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[3,6,7,8,1,4,5,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[3,6,2,8,1,5,4,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,3,6,8,5,1,4,7] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[7,5,2,8,4,1,6,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,4,5,8,2,1,3,6] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[1,8,5,2,4,6,3,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[6,3,4,8,2,5,7,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[7,5,4,8,3,6,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[7,1,5,4,8,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[8,4,6,3,7,2,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,4,6,3,8,5,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[2,5,6,8,3,4,1,7] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[8,4,6,2,7,5,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[8,5,6,7,2,4,3,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[2,5,6,8,4,3,1,7] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,1,1] => 4

[2,5,7,8,4,1,3,6] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[6,5,7,8,4,1,3,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[7,4,6,2,8,5,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,5,6,8,2,4,1,7] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[2,6,7,8,1,4,5,3] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[3,6,7,8,1,4,2,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,6,7,8,1,4,3,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[6,5,7,8,3,1,4,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[2,5,7,8,3,1,4,6] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[2,4,7,3,8,1,5,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[6,4,7,3,8,1,5,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,4,7,3,8,1,2,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,4,5,2,3,8,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,4,5,3,2,8,1,7] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,7,3,8,1,6,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,5,7,8,3,1,6,4] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[4,5,6,8,2,3,1,7] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[5,4,6,2,8,3,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,4,7,2,8,1,3,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,6,7,8,1,3,2,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[4,6,7,8,1,3,5,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[2,6,7,8,1,3,5,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,6,7,8,1,5,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[4,6,7,8,1,5,2,3] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[4,6,7,8,1,2,5,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[4,5,7,8,2,1,6,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[5,4,7,2,8,1,6,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,3,2,7,8,1,6,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,3,2,7,8,1,6,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[3,5,7,8,2,1,6,4] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[3,6,7,8,1,2,5,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[3,6,7,8,1,5,2,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[3,6,7,8,1,5,4,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[2,6,7,8,1,5,4,3] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[3,4,5,6,7,8,9,1,2,10] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[2,4,5,6,7,8,1,3,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[1,4,5,6,7,8,9,10,2,3] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [8,2] => 8

[4,2,7,1,5,3,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,2,8,6,1,5,3,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,2,6,7,5,1,4,8] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,7,1,3,5,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,3,6,4,7,1,5,8] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[4,8,6,2,1,5,7,3] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,4,7,3,5,1,8,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,4,7,5,1,8,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,6,1,7,5,8,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,3,5,1,6,8,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,6,8,2,1,5,7,3] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[2,7,3,6,1,4,5,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,6,1,3,5,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[4,6,2,8,1,5,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,4,1,2,7,5,3,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[1,6,2,7,4,8,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[6,2,1,7,8,5,3,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,7,8,4,1,5,6,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[2,7,1,8,5,6,3,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[8,2,5,1,6,7,3,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,2,4,5,1,6,7,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[3,8,4,5,6,1,7,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[4,2,8,3,7,1,6,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,2,3,4,8,1,6,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[7,2,3,4,8,1,5,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[7,2,3,8,5,1,4,6] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[7,2,3,8,5,1,6,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[2,6,4,8,1,5,7,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[7,2,3,8,4,1,5,6] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[7,2,3,5,8,1,4,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[7,2,3,5,8,1,6,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[7,2,3,8,4,1,6,5] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[2,6,4,8,1,3,7,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[3,6,4,8,1,7,5,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[7,6,5,1,2,3,8,4] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[7,6,5,1,4,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[2,6,4,5,1,8,7,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,6,4,1,2,7,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[7,8,5,4,1,2,6,3] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[3,5,6,4,1,2,8,7] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[7,6,5,1,4,2,3,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,6,5,1,2,4,3,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,6,5,1,2,4,8,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[7,6,5,1,3,2,8,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,6,5,1,3,2,4,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,6,5,1,3,4,2,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[7,2,3,4,5,1,8,6] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[2,6,4,3,1,5,8,7] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[2,6,4,3,1,8,5,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,6,4,3,1,8,7,5] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,5,8,4,1,2,7,6] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[3,5,8,4,1,2,6,7] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[3,5,8,4,1,6,2,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,2,8,3,6,1,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,5,8,4,1,6,7,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[2,5,8,4,1,7,3,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[3,6,4,2,1,7,8,5] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[3,5,6,4,1,8,7,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,6,4,5,1,3,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[7,6,5,1,4,3,8,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[7,6,5,1,2,8,4,3] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[7,6,5,1,2,8,3,4] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,6,5,1,8,2,4,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,6,5,1,8,2,3,4] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,6,5,1,8,3,2,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,6,5,1,4,8,2,3] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[3,6,4,5,1,7,2,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,5,6,4,1,7,8,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[7,8,5,4,1,6,3,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,5,6,4,1,7,3,8] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[3,6,4,5,1,7,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[7,6,5,1,4,8,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[7,6,5,1,8,3,4,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[7,6,5,1,8,4,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[4,1,7,6,2,8,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[7,8,6,2,1,3,5,4] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[3,7,6,1,2,8,4,5] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[2,6,5,3,1,4,8,7] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[4,6,1,5,3,2,8,7] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,6,1,4,2,5,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,6,4,5,7,8,1,3] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[8,7,1,6,5,2,4,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,2,5,6,8,1,3,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[6,1,3,4,2,8,7,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[2,4,5,6,1,8,7,3] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[2,8,3,4,7,5,1,6] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[4,7,8,5,1,6,3,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,2,6,4,7,3,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[8,7,3,2,1,5,4,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[3,7,1,8,4,5,6,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[6,2,3,8,4,7,5,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1] => 4

[8,6,4,3,1,7,2,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,4,2,1,8,6,5,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[6,2,1,3,4,8,7,5] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[6,5,4,2,8,3,1,7] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[5,4,3,1,8,7,2,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[6,4,5,1,7,8,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[4,2,3,1,7,8,6,5] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[2,7,6,8,1,5,3,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[6,4,5,8,3,1,2,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[3,6,8,1,5,2,4,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[6,3,8,5,7,4,2,1] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [3,1,1,1,1,1] => 3

[7,4,6,8,5,1,2,3] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,1,4,8,7,5,3,6] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[2,1,6,8,3,7,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[6,2,8,1,7,5,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[2,6,5,4,8,1,3,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[6,5,3,4,8,1,7,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,4,3,2,5,1,7,6] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[4,2,8,1,5,3,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,1,8,2,6,4,3,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,4,8,6,2,1,3,5] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[4,6,2,8,3,7,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[2,1,5,8,3,6,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[2,8,5,3,6,7,1,4] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[7,8,5,6,4,1,3,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[4,8,1,3,5,7,6,2] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4

[3,8,1,4,5,6,2,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[7,6,8,3,5,1,4,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,3,8,7,6,1,4,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,8,4,7,1,3,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,7,4,2,5,3,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,6,4,8,3,1,5,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,4,8,5,6,1,3,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,4,7,5,6,2,1,8] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1] => 4

[3,7,2,5,6,4,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[6,2,8,5,1,7,4,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,7,4,8,2,1,5,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[3,2,7,8,6,1,5,4] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[6,8,4,1,2,3,7,5] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[6,1,8,5,3,7,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[3,8,1,5,2,7,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[8,2,1,5,3,7,6,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[1,5,2,4,6,7,8,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [6,1,1] => 6

[7,1,4,6,3,2,8,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[3,2,6,4,1,7,8,5] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[7,6,4,3,1,2,8,5] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[8,6,3,5,1,7,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,2,3,1,6,7,8,4] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[1,5,3,2,6,7,8,4] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [5,1,1,1] => 5

[8,4,6,5,1,7,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,4,6,1,2,8,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[3,2,5,6,1,7,8,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[3,2,8,7,6,1,4,5] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[6,8,4,7,2,1,3,5] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[3,8,7,5,6,1,2,4] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[4,8,6,5,1,7,3,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,4,2,1,5,8,3] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[5,7,4,6,1,3,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[8,6,4,7,3,1,2,5] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[5,2,4,3,7,1,8,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,6,4,1,3,5,2,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[7,5,4,1,2,6,8,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[1,8,2,5,3,7,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[8,2,1,5,6,4,3,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[3,8,1,5,6,4,2,7] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[6,8,4,1,2,5,3,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,2,8,1,6,5,4,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,6,1,5,7,8,4] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[7,6,4,1,5,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[3,5,1,4,6,7,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[5,2,1,4,6,7,8,3] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[5,4,1,3,6,7,8,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[7,5,4,1,3,2,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[3,2,5,1,4,7,8,6] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[7,1,4,3,5,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,3,5,4,7,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[5,1,3,4,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,1,1] => 6

[8,3,2,6,1,4,7,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[2,6,1,3,8,7,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[2,6,8,1,5,7,4,3] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[2,7,1,6,4,8,3,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,7,1,6,5,3,8,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[2,8,1,7,6,5,4,3] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[8,3,2,7,1,6,5,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,1,8,7,3,2,6,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[4,1,7,2,8,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[3,7,1,8,6,5,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[3,6,8,5,1,4,7,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[7,3,5,8,2,1,4,6] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[7,3,6,2,1,4,5,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[7,4,2,8,1,6,5,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,7,5,3,2,1,6,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[7,5,2,6,3,1,4,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,8,4,5,2,1,7,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[4,6,8,5,1,7,3,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,7,5,1,3,8,6,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,1,7,6,4,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[5,1,8,7,6,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1] => 2

[8,5,2,1,7,6,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[8,5,2,1,6,3,7,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[5,1,8,6,3,2,7,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[5,4,8,2,7,3,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,4,8,7,3,6,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[6,3,7,2,4,8,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,7,4,2,8,1,3,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[6,5,2,7,1,3,8,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,6,5,4,2,1,7,3] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[6,4,7,3,1,8,2,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,8,4,6,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[6,5,4,3,2,1,9,8,7] => [[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [2,1,1,1,1,1,1,1] => 2

[5,4,3,2,1,9,8,7,6] => [[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [2,1,1,1,1,1,1,1] => 2

[7,6,5,4,3,2,1,10,9,8] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [2,1,1,1,1,1,1,1,1] => 2

[5,6,3,7,4,2,1,8] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[7,6,3,8,5,1,4,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,8,1,3,2,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,4,8,6,3,1,5,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,2,7,6,5,3,1,8] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[3,7,2,4,6,5,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[8,1,3,4,5,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[6,2,8,4,1,5,7,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[6,7,4,8,5,1,2,3] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,2,7,8,5,1,6,4] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,8,1,5,4,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,7,1,4,2,5,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[7,2,1,4,3,5,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[4,1,5,3,6,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,1,8,5,3,2,7,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[7,1,4,6,3,8,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[3,2,6,4,1,8,7,5] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,4,3,1,8,2,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[3,5,2,1,8,7,6,4] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[1,5,3,2,8,6,4,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[5,4,2,1,7,8,6,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[8,2,7,6,5,1,3,4] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,6,2,7,1,4,5,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[1,7,3,6,2,8,5,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[7,6,3,2,1,8,5,4] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[8,6,3,7,4,1,2,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,2,3,4,7,1,8,6] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[8,6,3,1,4,5,7,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[5,8,3,1,2,4,7,6] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[8,1,3,2,4,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[3,8,1,5,6,4,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[3,2,8,1,6,5,7,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,6,4,1,5,2,3,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[3,5,1,4,6,7,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[4,5,8,2,1,3,7,6] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[5,8,2,3,1,4,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,2,1,3,5,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[8,5,4,1,3,6,2,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[7,1,3,5,4,6,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[5,1,3,4,6,2,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[4,1,3,2,5,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[3,1,4,2,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,5,2,6,4,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,5,2,7,4,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,5,2,7,4,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,6,7,3,1,5,2,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,8,1,3,5,2,7,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,5,7,2,3,6,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[2,6,3,4,7,5,8,1] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [5,1,1,1] => 5

[4,5,2,7,1,6,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,3,1,4,8,5,6,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[6,4,2,8,7,1,5,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,2,4,8,1,5,3,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,3,1,6,7,8,4,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[4,1,6,2,7,8,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[4,5,6,7,8,9,1,2,3] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[5,6,7,8,9,1,2,3,4] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[8,9,6,7,5,4,3,2,1] => [[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [2,2,1,1,1,1,1] => 2

[4,5,6,7,8,9,10,1,2,3] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[5,6,7,8,9,10,1,2,3,4] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[4,8,3,7,6,5,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[6,3,8,7,5,4,1,2] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[5,3,8,7,6,4,1,2] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[2,8,7,6,1,5,4,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,2,8,7,6,1,4,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,2,8,7,5,1,4,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,1,8,7,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1] => 2

[3,1,8,7,6,5,4,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1] => 2

[7,8,2,6,1,5,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,2,8,7,1,5,4,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,2,8,1,7,6,5,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,8,7,2,1,6,5,4] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,8,7,1,4,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,8,1,7,6,5,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[5,4,1,8,7,6,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[6,4,8,1,7,5,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,8,4,1,6,5,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,8,3,1,6,5,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,3,8,1,7,5,4,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,3,1,8,7,6,4,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[7,8,2,1,6,5,4,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,5,3,1,8,7,4,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[6,4,3,1,8,7,5,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[5,4,3,1,8,7,6,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[7,5,2,1,8,6,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[5,4,2,1,8,7,6,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[7,3,2,1,8,6,5,4] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[6,3,2,1,8,7,5,4] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[9,7,5,3,1,10,8,6,4,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,7,5,3,1,10,9,6,4,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,6,5,3,1,10,8,7,4,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,6,5,3,1,10,9,7,4,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,5,3,1,10,9,8,4,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,7,4,3,1,10,8,6,5,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,7,4,3,1,10,9,6,5,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,6,4,3,1,10,8,7,5,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,6,4,3,1,10,9,7,5,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,4,3,1,10,9,8,5,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,5,4,3,1,10,8,7,6,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,5,4,3,1,10,9,7,6,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,5,4,3,1,10,9,8,6,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[6,5,4,3,1,10,9,8,7,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,7,5,2,1,10,8,6,4,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,7,5,2,1,10,9,6,4,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,6,5,2,1,10,8,7,4,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,6,5,2,1,10,9,7,4,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,5,2,1,10,9,8,4,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,7,4,2,1,10,8,6,5,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,7,4,2,1,10,9,6,5,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,6,4,2,1,10,8,7,5,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,6,4,2,1,10,9,7,5,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,4,2,1,10,9,8,5,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,5,4,2,1,10,8,7,6,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,5,4,2,1,10,9,7,6,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,5,4,2,1,10,9,8,6,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[6,5,4,2,1,10,9,8,7,3] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,7,3,2,1,10,8,6,5,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,7,3,2,1,10,9,6,5,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,6,3,2,1,10,8,7,5,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,6,3,2,1,10,9,7,5,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,3,2,1,10,9,8,5,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,5,3,2,1,10,8,7,6,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,5,3,2,1,10,9,7,6,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,5,3,2,1,10,9,8,6,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[6,5,3,2,1,10,9,8,7,4] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[9,4,3,2,1,10,8,7,6,5] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,4,3,2,1,10,9,7,6,5] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[7,4,3,2,1,10,9,8,6,5] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[6,4,3,2,1,10,9,8,7,5] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[6,1,4,2,3,5,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[8,6,1,4,2,3,5,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,8,1,4,2,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[8,1,4,2,3,6,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[4,1,8,2,3,6,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[8,2,3,6,1,4,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,2,3,8,1,4,5,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,2,3,6,4,1,5,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[8,4,3,6,2,1,5,7] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[6,2,3,8,4,1,5,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[2,6,4,3,8,1,5,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,8,4,3,6,1,5,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,6,3,8,4,1,5,7] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[6,3,8,4,2,1,5,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,6,3,8,1,4,5,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,8,3,6,1,4,5,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[8,3,6,4,2,1,5,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,8,3,6,4,1,5,7] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[8,3,6,2,4,1,5,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,3,6,2,1,4,5,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,3,8,2,4,1,5,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[1,6,4,2,7,5,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[6,4,8,5,3,7,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[1,6,5,4,2,7,8,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[7,1,5,3,6,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[1,4,6,2,8,5,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[6,1,8,7,4,2,3,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,2,8,5,7,3,6,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[1,3,6,8,7,5,2,4] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,2,1,1] => 4

[1,8,2,5,4,7,6,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,2,7,3,5,8,6,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [5,1,1,1] => 5

[4,6,2,3,7,8,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[4,6,3,7,1,2,8,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[7,3,2,4,5,1,8,6] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,8,4,2,6,3,1,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,8,2,7,4,3,1,6] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[4,3,8,5,1,7,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,3,5,2,8,1,7] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[6,1,7,2,8,3,9,4,10,5] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[1,8,6,7,5,3,4,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,2,1,1,1] => 3

[8,2,6,7,5,3,4,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[2,7,6,1,3,5,4,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[2,8,6,1,3,5,4,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[4,1,3,6,5,8,7,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[2,1,6,3,5,8,7,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[2,4,1,3,8,5,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,4,1,3,5,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[2,6,1,3,5,8,7,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[4,6,1,3,5,8,7,2] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4

[4,2,1,6,3,5,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,2,1,3,8,5,7,4] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[6,1,4,3,8,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[1,6,4,3,8,5,7,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[8,1,4,3,6,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[8,4,1,3,6,5,7,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[8,2,1,3,6,5,7,4] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[6,2,1,4,3,5,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,2,6,1,3,5,7,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,4,6,1,3,5,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[8,4,1,6,3,5,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[6,4,1,8,3,5,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[6,4,8,1,3,5,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[6,2,8,1,3,5,7,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[2,6,8,1,3,5,7,4] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[4,6,8,1,3,5,7,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[4,6,1,8,3,5,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[1,4,6,3,8,5,7,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[4,6,1,3,8,5,7,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[2,4,1,8,3,5,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[1,4,3,6,8,5,7,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[2,1,8,3,6,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,1,6,4,3,5,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[2,6,1,4,3,5,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,8,1,4,3,5,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[4,8,1,3,6,5,7,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[1,4,8,3,6,5,7,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[4,1,8,6,3,5,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[4,8,1,6,3,5,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[4,8,6,1,3,5,7,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[2,8,6,1,3,5,7,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[2,6,4,1,3,5,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[4,6,2,1,3,5,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[6,8,1,4,3,5,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[6,1,8,4,3,5,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[1,8,6,4,3,5,7,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1] => 4

[8,1,6,4,3,5,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[8,6,1,4,3,5,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,6,4,1,3,5,7,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[8,6,2,1,3,5,7,4] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[8,4,2,1,3,5,7,6] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[7,8,6,5,2,1,4,3] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,7,4,1,8,6,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,6,4,2,7,3,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,7,1,4,6,3,2,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[5,8,1,4,6,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[5,4,6,1,7,8,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[5,6,4,1,8,7,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,8,1,4,5,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[6,7,1,4,5,3,2,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[3,7,1,5,4,6,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,8,1,5,4,6,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[3,7,1,5,4,6,8,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[6,7,1,4,5,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[5,7,1,4,6,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[5,4,7,2,8,3,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,4,7,2,8,3,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,6,4,2,8,3,1,7] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,8,1,4,6,3,2,7] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[3,8,1,5,4,6,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,6,1,5,4,2,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,6,1,5,4,8,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,3,8,1,4,2,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,6,1,5,4,7,8,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[3,4,1,2,7,6,5,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[3,4,1,2,6,8,7,5] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[6,8,3,1,4,7,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[6,4,7,2,8,5,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,8,1,4,7,3,2,6] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[7,8,1,4,5,3,2,6] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[3,8,1,5,4,7,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,6,1,5,4,8,7,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[3,6,1,5,4,7,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,8,3,1,4,6,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[7,8,4,2,6,5,1,3] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,7,3,1,4,5,2,8] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,7,1,5,4,2,6,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,8,1,5,4,2,7,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,8,1,4,7,3,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[6,4,7,2,8,5,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[6,3,7,1,4,8,5,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,7,1,5,4,8,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[3,4,1,2,8,5,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,4,1,2,5,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[3,7,1,5,4,2,8,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,3,8,1,4,5,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,3,8,1,4,5,6,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[6,8,3,1,4,5,2,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,8,1,5,4,2,6,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[9,8,7,6,5,4,2,1,3] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 2

[9,8,7,6,5,3,2,1,4] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 2

[8,7,6,3,5,2,1,4] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[9,8,7,6,4,3,2,1,5] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 2

[8,7,4,6,3,2,1,5] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[9,8,7,5,4,3,2,1,6] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 2

[8,5,7,4,3,2,1,6] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[9,8,6,5,4,3,2,1,7] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 2

[9,7,6,5,4,3,2,1,8] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 2

[9,8,7,6,5,4,1,3,2] => [[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 2

[10,9,8,7,6,5,4,2,1,3] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[9,8,7,6,5,2,4,1,3] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[10,9,8,7,6,5,3,2,1,4] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[10,9,8,7,6,4,3,2,1,5] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[8,7,6,2,5,4,1,3] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[10,9,8,7,5,4,3,2,1,6] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[8,5,4,7,3,2,1,6] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[10,9,8,6,5,4,3,2,1,7] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[6,5,8,4,3,2,1,7] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,4,7,6,3,2,1,5] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[9,6,8,5,4,3,2,1,7] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[10,9,7,6,5,4,3,2,1,8] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[5,8,7,4,3,2,1,6] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[10,8,7,6,5,4,3,2,1,9] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 2

[4,1,7,2,5,8,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[7,3,1,6,8,5,2,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,2,7,1,8,6,3,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,5,2,8,1,7,3,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[2,8,3,5,1,7,4,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[5,4,3,8,7,1,6,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,4,3,7,2,6,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[8,3,7,4,2,6,5,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[2,8,6,5,1,7,4,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,3,2,8,4,1,7,5] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,3,4,1,7,5,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[5,4,2,8,3,1,7,6] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,4,3,1,7,6,5] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,8,5,3,1,7,6,4] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,8,6,4,1,7,5,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,8,7,5,1,6,4,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,3,7,5,2,6,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[8,4,7,6,2,5,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,8,7,6,1,5,3,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,4,8,6,2,1,5,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,8,5,2,1,6,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,8,4,2,1,6,5] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,4,3,8,2,1,6] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[3,7,8,4,1,2,6,5] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[3,7,8,5,1,2,6,4] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[4,7,8,6,1,2,5,3] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[8,7,4,6,3,5,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[5,7,8,6,1,2,4,3] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[6,4,7,8,3,1,2,5] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[7,3,4,8,2,1,5,6] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[7,6,4,8,3,2,1,5] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [2,2,1,1,1,1] => 2

[7,5,8,6,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,8,7,3,1,4,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,4,8,3,1,5,7,6] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,8,4,1,6,7,5] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[2,3,8,5,1,6,7,4] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[6,4,8,7,3,1,5,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,6,4,7,3,2,5,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,3,4,7,2,5,6,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[3,4,8,7,1,5,6,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[2,4,8,6,1,5,7,3] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[2,5,8,6,1,4,7,3] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[8,3,5,7,2,4,6,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[8,4,6,7,2,3,5,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[4,6,8,7,1,3,5,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[2,6,8,5,1,3,7,4] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[2,6,8,4,1,3,7,5] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[2,5,8,3,1,4,7,6] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[5,6,8,7,1,3,4,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[7,4,6,8,2,1,3,5] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[2,3,5,4,1,8,6,7] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,3,6,4,8,1,5,7] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[1,8,4,6,3,5,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[5,4,8,6,2,1,3,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,3,6,8,1,5,4,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,5,6,1,4,7,8,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[2,5,6,1,4,7,3,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[7,3,5,1,6,8,4,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[2,7,6,1,8,5,4,3] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[2,7,6,8,1,4,5,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[1,8,7,6,3,2,5,4] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,8,7,6,3,2,4,5] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[5,7,8,6,2,3,4,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1] => 3

[6,3,5,1,7,2,4,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,3,4,7,6,1,5,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[7,3,5,8,4,1,2,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[1,8,4,5,2,7,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,8,4,5,2,7,6,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[7,3,5,8,4,1,6,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[2,7,6,4,8,5,1,3] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[7,3,5,4,6,8,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[6,3,5,4,7,1,8,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,4,1,5,6,8,7,2] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4

[3,7,1,6,8,5,2,4] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,3,1,8,6,4,7,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,8,4,3,6,2,5,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[2,3,1,8,6,4,5,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,7,1,6,8,5,4,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[6,3,5,4,7,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[2,7,6,4,8,5,3,1] => [[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [3,1,1,1,1,1] => 3

[1,8,4,5,2,6,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[6,4,8,5,3,1,2,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[7,3,5,8,4,6,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[2,3,4,6,5,8,1,7] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[2,3,4,7,5,1,6,8] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[2,3,4,7,1,6,5,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,3,4,7,1,6,8,5] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[2,3,4,6,1,8,7,5] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[6,3,5,8,4,2,7,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[7,4,8,5,3,2,1,6] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[1,8,4,5,2,3,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[7,4,8,5,3,2,6,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[1,5,7,4,6,3,2,8] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[5,2,8,4,6,3,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[2,5,7,4,6,3,8,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[5,4,1,7,8,3,2,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,1,4,6,8,3,2,7] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[8,1,3,5,4,6,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[8,1,6,2,4,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,7,3,2,4,6,5,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1] => 3

[8,2,6,3,4,5,7,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[6,8,3,2,4,7,5,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[8,7,1,3,4,5,2,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,1,6,3,4,5,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,1,2,5,4,3,6,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[3,4,8,7,5,2,6,1] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [3,2,1,1,1] => 3

[3,2,8,6,1,5,4,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,3,6,4,2,5,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[5,3,6,2,4,8,7,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,5,2,8,6,1,4,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,7,2,5,1,4,8,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,1,8,6,2,3,4,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,7,6,1,8,2,5,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,6,3,1,8,2,4,5] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[1,8,2,6,3,4,7,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[8,1,3,6,4,7,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[7,1,3,6,4,8,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[8,2,1,3,5,7,4,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,2,6,3,1,4,7,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,4,1,3,8,2,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[2,7,5,8,3,4,1,6] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[7,3,8,5,4,1,2,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[7,4,8,1,3,6,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,1,2,3,5,7,4,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[7,1,2,3,5,8,4,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[8,6,1,4,7,3,2,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,6,3,7,1,4,8,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,6,3,8,1,4,7,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[7,5,4,8,1,3,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,4,7,1,3,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[2,3,1,8,5,4,6,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[8,6,5,1,3,4,2,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[3,4,7,6,1,8,5,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,4,7,5,1,3,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,8,1,6,5,2,7,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[6,1,2,8,3,4,7,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[6,8,4,2,5,1,7,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,7,5,3,8,4,1,6] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[8,3,2,1,5,7,4,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[2,8,3,6,4,7,1,5] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[1,8,3,2,5,7,4,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[6,5,1,7,4,2,8,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,3,6,4,8,2,1,5] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[6,1,7,3,4,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,3,8,1,6,5,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,3,7,1,6,5,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,1,7,4,2,8,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[4,2,8,6,5,1,7,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,2,8,5,1,7,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,6,4,7,1,5,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,6,4,8,1,5,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,3,7,8,5,1,6] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[5,1,6,4,2,3,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,4,7,8,1,5,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,8,7,6,1,4,2,3] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,5,7,1,4,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,7,4,8,1,5,2,3] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,5,3,7,1,6,4,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[8,4,6,7,1,5,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[7,4,6,8,1,5,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,7,5,8,1,6,2,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,7,6,8,1,5,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[8,5,6,7,1,4,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,6,7,5,1,4,2,3] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[5,6,8,7,1,4,2,3] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,4,6,7,1,5,8,3] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[6,7,8,5,1,4,2,3] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[3,1,7,5,4,2,8,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[4,1,8,5,2,3,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[5,4,1,3,6,7,2,8] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,2,7,1,5,3,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,2,7,1,5,8,4,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,3,7,1,5,4,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,3,8,1,5,4,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,5,1,3,6,8,2,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,6,8,1,5,4,2,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[7,6,3,1,5,4,2,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[3,6,2,1,5,8,4,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[8,6,2,1,5,3,4,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,3,8,1,5,7,4,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[7,1,3,2,8,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,1,6,2,8,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,7,1,2,6,3,8,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[2,7,8,1,5,3,4,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[8,7,2,1,4,5,3,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,7,5,6,1,4,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,7,8,6,1,4,3,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,7,1,4,5,6,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[3,5,1,4,7,6,8,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[5,6,8,7,1,4,3,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,8,5,7,1,4,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[8,6,5,7,1,4,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,7,6,1,4,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,7,8,1,4,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,2,3,1,5,6,4,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,8,1,6,5,3,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,2,4,1,8,5,3,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,3,1,4,5,6,7,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[5,3,1,4,8,6,7,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[7,5,1,6,3,4,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[5,3,1,8,4,6,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,3,1,5,4,6,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,2,6,1,4,5,3,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,2,8,1,4,5,3,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,2,6,1,5,3,4,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,1,4,5,6,8,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,1,1,1] => 5

[8,5,6,7,1,4,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,6,8,5,1,4,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,8,7,5,1,4,3,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,6,7,1,4,5,3,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,5,1,7,4,6,8,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[7,1,5,6,4,8,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[7,1,6,5,4,8,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[2,7,6,1,4,5,3,8] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[5,7,6,8,1,4,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[7,8,6,5,1,4,3,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,1,2,4,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[5,3,6,2,1,8,7,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,7,2,1,4,6,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,3,7,2,8,4,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,2,4,5,1,3,6,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[6,2,4,5,1,8,7,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,1,4,5,2,8,7,6] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[1,6,4,5,2,8,7,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[3,7,4,5,1,2,6,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[3,7,4,5,8,2,1,6] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4

[8,7,4,5,2,1,6,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,7,1,8,4,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[1,7,4,8,6,3,2,5] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[5,7,4,8,6,3,1,2] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[4,8,3,5,6,7,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[1,8,3,5,6,7,2,4] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[4,8,1,5,6,7,2,3] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[4,1,3,5,6,7,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[5,8,4,3,6,1,2,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[5,3,8,4,1,7,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,4,8,3,6,7,5,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1] => 4

[4,3,8,2,1,7,5,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[1,8,2,5,6,7,4,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [5,1,1,1] => 5

[3,8,2,5,6,7,1,4] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[8,2,1,5,6,7,4,3] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[7,8,4,3,6,2,1,5] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[6,3,1,8,2,7,4,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,1,4,8,6,2,3,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,5,4,1,6,2,3,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,6,4,5,8,1,3,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[1,6,4,5,8,2,3,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[7,3,6,1,8,2,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,7,6,5,8,3,4,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1] => 3

[8,3,5,2,1,7,4,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,1,5,6,7,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[4,2,1,5,6,7,3,8] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[1,5,3,8,6,7,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [4,1,1,1,1] => 4

[4,3,5,8,1,7,2,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,5,4,8,6,1,2,7] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[1,4,8,5,6,7,2,3] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[3,4,8,5,6,7,1,2] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => 5

[4,3,7,2,5,6,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[3,7,1,5,6,2,8,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,7,1,5,6,8,2,3] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[6,4,7,2,3,8,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,5,7,2,8,3,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,3,7,2,4,8,6,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[8,7,6,1,4,5,2,3] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,7,6,1,3,2,5,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,7,4,5,1,6,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,6,4,1,7,2,3] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,6,2,3,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,3,5,4,2,1,7,6] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[10,3,1,2,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[10,4,1,2,3,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[5,10,1,2,3,4,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[10,6,1,2,3,4,5,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[10,7,1,2,3,4,5,6,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[8,10,1,2,3,4,5,6,7,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[2,3,10,1,4,5,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[7,3,5,4,1,8,6,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,6,5,7,3,1,8,4] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[4,2,1,6,3,7,5,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,2,1,3,7,8,6,5] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[5,8,1,7,4,3,2,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,2,1,8,3,5,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[4,2,1,6,3,8,7,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,3,4,2,6,8,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[3,6,7,5,2,4,8,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1] => 3

[3,6,7,5,2,4,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[4,2,1,7,3,6,5,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,7,6,8,4,2,5,1] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [3,2,1,1,1] => 3

[5,8,1,7,4,2,6,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,7,8,6,2,4,5,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1] => 3

[4,8,1,7,3,6,5,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[4,2,1,8,3,7,6,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[2,6,1,5,4,7,8,3] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[4,6,3,5,8,7,1,2] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[4,7,5,2,1,3,6,8] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[2,5,6,1,4,8,3,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,7,8,4,1,5,3,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[7,1,6,8,4,5,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[7,4,6,5,2,8,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,1,5,6,4,2,3,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[5,7,8,1,4,6,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[8,1,5,7,4,6,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[1,8,4,6,7,5,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [4,1,1,1,1] => 4

[6,1,8,4,7,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[4,5,8,6,1,7,3,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,1,4,5,6,7,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,1,1,1] => 5

[5,6,7,1,4,2,3,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[8,4,2,6,1,5,7,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,5,2,1,6,7,3] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[1,8,4,6,2,5,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[6,1,5,2,3,4,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[8,3,1,4,6,2,5,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,5,1,8,2,6,4,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,5,1,2,8,4,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[8,2,4,3,6,7,1,5] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,2,8,5,7,1,6,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,8,7,1,4,6,5,3] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[8,2,7,1,5,4,6,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,2,5,3,6,8,1,4] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[7,3,1,5,6,2,4,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,7,3,6,5,8,1,4] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[8,7,2,4,1,6,5,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,8,7,2,3,6,5,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[1,7,3,8,2,6,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,2,7,3,6,4,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [6,1,1] => 6

[7,1,5,8,3,2,4,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[1,6,2,8,4,3,7,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,3,8,7,2,4,6,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,8,3,7,2,5,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[8,1,4,7,3,2,5,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,7,8,1,3,2,5,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[7,1,4,2,3,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[8,2,1,4,7,3,5,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[1,2,3,4,8,5,7,6] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [6,1,1] => 6

[2,4,7,5,6,8,3,1] => [[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [5,1,1,1] => 5

[2,4,8,7,5,6,3,1] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [4,1,1,1,1] => 4

[2,5,3,8,4,7,6,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[3,1,8,5,2,7,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[8,3,5,7,1,6,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[8,3,6,1,4,5,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[2,8,6,3,4,5,7,1] => [[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [5,1,1,1] => 5

[2,6,8,3,4,5,7,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [5,2,1] => 5

[2,5,7,3,4,8,6,1] => [[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [4,2,1,1] => 4

[2,7,8,5,3,6,4,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [3,2,1,1,1] => 3

[2,7,6,3,4,8,5,1] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [4,1,1,1,1] => 4

[8,3,7,6,1,4,5,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,1,7,2,3,6,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[4,1,7,2,3,6,5,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[3,7,1,8,2,6,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,1,6,5,8,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,3,5,8,7,1,4,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[7,3,8,5,1,6,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,3,6,1,4,8,5,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[7,8,3,6,1,4,5,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[8,7,4,6,1,2,5,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,1,2,3,4,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[7,4,6,1,2,8,3,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,4,1,2,8,5,7,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[5,7,1,2,3,6,4,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[3,6,8,1,2,7,4,5] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[4,8,1,5,2,7,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,1,2,5,3,8,7,6] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[3,1,4,8,7,5,2,6] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[5,4,1,8,2,7,6,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,4,1,8,2,7,3,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,4,8,1,2,5,3,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,4,7,1,2,8,6,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[6,7,4,1,2,8,3,5] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[6,5,1,2,3,4,8,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[8,6,5,1,2,3,7,4] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[6,7,4,1,2,5,3,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[7,8,6,4,1,2,5,3] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[2,4,6,3,5,7,1,8] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[8,6,2,5,3,1,7,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,2,3,4,5,1,7,6] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[1,8,3,4,2,7,5,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[2,8,3,4,1,6,7,5] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[8,7,2,3,1,6,5,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,1,3,5,7,2,4,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,1,4,7,5,3,6,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,1,3,6,2,5,4,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,1,3,6,2,4,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[2,1,8,3,7,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[6,1,5,8,2,7,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[4,5,2,8,1,6,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,2,5,8,1,4,7,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[3,2,8,5,1,6,7,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[8,2,7,1,4,6,5,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,8,7,1,6,4,5,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,4,8,5,6,1,7,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[8,3,7,4,1,6,5,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,5,7,1,6,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,6,8,4,1,7,2] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[6,2,3,1,5,4,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,2,3,1,4,6,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,5,1,3,2,6,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[2,6,1,4,5,3,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,5,6,1,3,2,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[4,5,7,1,2,6,3,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,7,4,1,2,6,5,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[6,7,1,4,2,5,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,7,1,3,5,6,4,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[2,8,1,3,4,6,7,5] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[7,8,1,2,5,3,6,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[1,7,5,3,2,8,4,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,3,8,2,6,5,7,4] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[1,3,4,8,2,5,7,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,5,7,6,2,3,4,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,5,3,8,2,6,4,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,4,8,3,2,5,7,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[1,4,8,3,5,7,6,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[6,5,7,3,8,2,4,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[4,2,6,7,5,8,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[6,7,5,2,1,8,4,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,4,8,7,5,2,1,6] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,1,1,1] => 3

[1,7,5,2,8,4,6,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[5,6,8,3,1,7,2,4] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,1,4,8,3,2,7,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[3,4,7,1,8,6,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,5,2,8,6,4,1,7] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[3,1,2,8,5,6,4,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[5,2,1,6,8,3,4,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,2,6,8,4,1,3,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[1,5,6,8,3,4,2,7] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[4,5,8,1,6,3,2,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,5,1,6,8,3,2,7] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,5,7,3,8,2,6,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[6,4,3,1,7,8,2,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[4,5,3,1,7,8,2,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[7,1,3,5,4,8,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[7,5,2,8,1,4,3,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,7,3,8,4,6,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,3,6,7,8,4,2,1] => [[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [4,1,1,1,1] => 4

[4,6,1,7,3,8,5,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[6,3,7,1,8,4,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,6,1,4,7,3,8,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,2,5,6,7,8,1,4] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[6,7,1,3,2,8,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,2,1,7,3,8,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,4,2,7,1,8,3,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,6,3,7,8,1,5] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,2,6,3,7,8,5,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 4

[6,7,3,2,1,4,8,5] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[7,2,4,1,8,3,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,2,4,8,6,1,3,5] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[7,3,4,8,6,2,1,5] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[3,5,7,2,1,8,6,4] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[6,3,7,8,2,5,4,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[6,2,4,7,1,8,5,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,6,2,7,1,8,5,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[1,7,4,8,5,2,6,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[2,5,7,8,1,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[6,3,7,1,8,2,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,6,4,7,8,2,5,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[2,5,6,1,7,8,4,3] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[5,6,1,2,7,8,4,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[6,7,2,8,5,4,1,3] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[1,6,7,4,8,5,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [3,2,1,1,1] => 3

[1,8,4,5,3,6,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,8,2,4,6,3,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,8,2,5,4,6,7,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[3,6,2,7,1,4,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,2,5,4,8,3,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[5,2,3,4,8,1,6,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[5,3,4,8,1,6,2,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,5,3,7,1,6,2,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,6,3,8,5,1,2,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[1,5,3,6,8,2,7,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[4,3,6,5,7,8,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,2,3,5,6,8,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[5,2,6,4,7,8,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[3,2,5,6,8,1,7,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[6,4,5,2,3,8,7,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[6,4,2,5,3,8,7,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[8,6,4,7,5,2,3,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[6,4,2,5,8,7,3,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[4,6,2,5,3,8,7,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[4,6,5,2,3,8,7,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[6,8,7,2,4,5,3,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[8,2,4,6,7,5,3,1] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,1,1,1,1] => 4

[4,2,6,5,8,7,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[4,2,3,6,8,7,5,1] => [[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [4,1,1,1,1] => 4

[6,4,8,7,2,5,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,4,8,7,5,2,3,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[8,2,6,4,7,5,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[4,6,8,2,7,5,3,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[2,1,8,6,4,7,5,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[6,8,7,4,2,5,3,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,5,7,9,1,2,4,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[5,7,9,1,2,3,4,6,8] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[7,9,1,2,3,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[4,6,8,10,1,2,3,5,7,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[6,8,10,1,2,3,4,5,7,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[6,2,5,7,4,8,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[8,5,2,1,4,7,6,3] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[7,5,1,8,3,4,6,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[5,7,8,2,6,3,4,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[7,1,6,3,5,8,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[6,3,1,7,8,4,5,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[5,3,6,7,4,1,8,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[2,4,8,1,5,3,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,4,8,1,6,2,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[7,6,5,4,1,2,8,3] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[5,7,6,8,3,4,2,1] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [3,2,1,1,1] => 3

[4,6,8,2,5,3,7,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[5,2,3,7,6,1,8,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,3,7,4,8,6,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1] => 4

[3,7,5,1,8,4,6,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,8,1,6,3,5,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[8,3,1,7,4,2,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,1,8,2,4,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[8,1,3,7,6,2,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[2,3,6,8,7,1,4,5] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[4,7,3,2,5,1,8,6] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,2,4,7,5,8,6,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1] => 4

[2,4,3,5,1,8,6,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,2,8,1,4,6,5,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,7,8,3,1,2,6,5] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[4,7,8,2,1,3,6,5] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[4,1,6,8,2,3,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[4,5,1,2,8,3,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[4,6,2,8,1,3,7,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,6,2,8,4,7,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,2,6,8,3,1,7,5] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[4,1,2,5,8,3,7,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[5,2,4,1,3,8,7,6] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,2,5,3,8,1,7,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,1,4,2,3,8,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[5,4,1,3,2,8,7,6] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,4,3,1,2,8,7,6] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[3,5,1,4,8,7,2,6] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,6,5,8,7,1,2,4] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[2,5,6,8,7,3,4,1] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [4,2,1,1] => 4

[3,4,5,1,8,7,2,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,3,6,8,2,1,7,5] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[2,4,6,8,3,7,5,1] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [4,2,1,1] => 4

[5,3,1,4,2,8,7,6] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,3,2,1,4,8,7,6] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[4,3,2,5,8,1,7,6] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[3,2,4,5,8,7,1,6] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[5,2,1,3,4,8,7,6] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[5,1,2,3,4,8,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,1,1,1] => 5

[8,6,2,5,4,1,3,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,2,1,6,3,4,5,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,6,2,1,3,5,4,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,1,2,3,4,6,5,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [6,1,1] => 6

[6,2,3,7,8,4,5,1] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [4,2,1,1] => 4

[7,5,8,2,6,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[1,5,6,7,3,4,8,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,3,1] => 4

[6,7,8,2,1,4,5,3] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[8,4,7,6,2,1,3,5] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[5,3,8,4,7,2,6,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,1,3,7,6,4,2,5] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[5,3,1,7,8,6,2,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[6,2,8,5,3,1,7,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[3,8,6,5,2,1,7,4] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,5,7,2,1,3,6] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[8,4,6,3,7,1,5,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,8,3,4,1,5,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,1,7,6,2,8,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[6,8,2,5,7,4,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[2,8,5,6,7,1,3,4] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,5,7,6,3,1,8,4] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[4,2,8,3,1,5,6,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[2,5,7,3,8,4,6,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[4,2,7,1,8,5,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,3,6,7,1,5,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[1,3,7,5,8,6,4,2] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [4,1,1,1,1] => 4

[5,7,8,4,3,1,6,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[3,5,7,1,4,8,6,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[7,2,8,5,1,4,6,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[1,6,5,3,8,4,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[5,7,4,8,3,6,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[4,8,6,1,3,5,2,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[8,4,3,2,5,7,1,6] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[4,3,7,2,5,8,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[3,2,4,7,8,5,6,1] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [4,2,1,1] => 4

[2,6,4,3,8,5,1,7] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[8,2,1,3,4,5,7,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[4,6,8,3,2,1,5,7] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[7,3,8,2,5,4,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,2,5,3,8,7,6,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[4,8,2,6,5,3,1,7] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[2,6,8,5,4,1,3,7] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[3,1,8,6,5,4,2,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[5,4,8,7,3,2,6,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[6,4,8,3,7,2,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[4,7,3,6,2,1,8,5] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[5,4,3,7,1,8,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,8,5,1,4,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,4,8,7,6,2,1,3] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[3,8,1,5,7,4,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,5,4,8,3,7,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[4,7,8,3,1,6,5,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[8,7,5,3,6,4,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 2

[4,6,1,3,8,7,5,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[3,7,1,6,4,2,8,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,1,2,7,5,6,8,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[3,6,1,2,7,5,8,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[3,7,6,2,5,8,1,4] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[4,7,2,6,3,8,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,3,2,4,8,7,5,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 3

[5,3,7,2,8,1,4,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,3,2,8,7,5,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[7,3,8,2,6,5,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,4,8,7,2,5,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[2,5,4,8,1,7,6,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,2,8,1,7,6,3,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,2,1,3,8,7,5,4] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[3,6,1,8,7,5,2,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,6,1,2,8,7,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[7,5,2,8,1,6,4,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,7,6,8,1,5,4,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[7,4,8,6,1,2,5,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,2,1,8,3,6,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,8,7,1,6,4,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[11,9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,1,1,1,1,1,1,1,1,1] => 2

[8,5,4,3,7,2,1,6] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[6,5,4,8,3,2,7,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[10,9,8,7,6,5,4,3,2,11,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [2,1,1,1,1,1,1,1,1,1] => 2

[7,3,1,4,8,2,5,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,7,2,4,6,8,1,3] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,4,7,1,3,8,5,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,5,1,2,7,6,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[5,4,6,8,3,1,2,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[1,3,8,4,5,7,2,6] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[2,6,7,4,5,3,1,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[7,5,8,6,2,1,3,4] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,8,1,3,6,5,4,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[2,8,7,3,5,4,1,6] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[3,4,2,6,8,7,1,5] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[7,3,8,4,1,2,6,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[6,8,3,2,7,1,5,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,7,1,2,4,6,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[7,5,6,8,2,1,4,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[3,4,6,2,8,5,7,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[4,7,1,6,5,2,8,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,4,6,1,8,5,2,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,3,7,1,6,8,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,8,1,4,2,6,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,8,7,6,1,2,4,3] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[5,8,7,6,2,1,3,4] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[4,2,7,3,6,1,8,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,8,2,4,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[3,8,2,4,1,6,7,5] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,2,7,5,6,3,8,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[4,2,7,5,6,1,8,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,8,1,2,4,6,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[5,8,7,6,1,3,4,2] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[5,8,7,6,2,3,4,1] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [3,2,1,1,1] => 3

[5,8,7,6,1,3,2,4] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[5,8,7,6,4,1,2,3] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[5,4,2,3,7,6,8,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[7,4,3,5,2,8,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,4,3,7,5,1,6,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,7,2,5,1,6,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,4,6,2,3,5,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[4,5,7,1,2,6,8,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[5,4,1,7,3,6,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[3,6,4,7,5,2,8,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[4,7,5,6,1,3,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[5,7,6,4,3,1,8,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,7,6,3,1,4,8,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,7,5,3,4,1,6,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,7,1,3,8,4,2,5] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,6,5,2,7,8,1,4] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[4,8,3,6,5,2,1,7] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[1,8,6,5,4,2,3,7] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[3,6,8,5,1,2,4,7] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[3,7,5,1,8,2,6,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,1,7,8,2,5,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,7,5,2,8,1,4,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,1,4,5,8,6,2,3] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[5,7,6,4,2,8,1,3] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,6,1,2,8,4,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,5,7,6,8,2,1,3] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1] => 4

[5,1,6,8,4,2,7,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[7,4,8,2,3,6,5,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,6,4,8,5,1,2,7] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[3,7,4,8,1,2,5,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[7,4,3,8,2,6,5,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[8,7,1,3,5,4,6,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[7,1,8,3,4,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,6,8,3,1,4,5,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[3,1,4,8,2,5,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[4,8,5,2,1,3,6,7] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[5,8,2,6,3,1,4,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,8,2,3,7,4,1,5] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[7,8,2,3,4,6,5,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [4,2,1,1] => 4

[8,1,3,6,2,5,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[7,2,1,6,3,5,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[2,7,1,6,3,5,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,7,1,5,4,3,6,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[7,2,1,5,4,3,6,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,1,3,5,4,2,6,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[8,1,5,6,2,3,7,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[8,1,4,5,3,2,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,2,1,4,5,3,6,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,7,1,4,5,3,6,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[6,3,2,1,5,4,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,3,1,4,5,2,6,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,3,1,5,4,2,6,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,3,1,6,2,5,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,7,1,6,2,5,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,7,1,4,5,2,6,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,3,6,1,5,4,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,5,2,4,1,6,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[6,3,4,1,5,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,2,4,1,5,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,6,5,1,3,7,4,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[6,2,5,1,3,7,4,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,5,2,1,3,7,4,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,6,1,2,4,5,3,8] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[6,7,1,2,8,3,5,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[6,7,1,2,5,4,3,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[5,6,2,1,3,7,4,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[5,2,6,1,3,7,4,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[2,4,6,1,5,3,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[4,7,1,3,5,2,6,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,7,1,5,3,2,6,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[5,7,1,4,2,6,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,7,1,6,2,3,8,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,6,3,1,2,7,4,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[4,2,5,3,1,6,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,3,6,1,2,7,4,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[3,4,6,1,5,2,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[8,2,7,5,4,1,3,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,5,6,2,7,1,4,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,5,1,2,7,8,4,3] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[4,7,6,1,5,3,8,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,7,6,4,1,3,8,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,1,7,5,3,8,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[8,6,7,5,3,1,4,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,2,7,1,6,4,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,6,2,4,7,8,1,3] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,4,6,1,7,8,5,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[3,4,8,6,7,1,5,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[4,8,5,6,7,2,3,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[5,8,6,4,1,2,7,3] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[5,8,6,1,7,2,4,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,8,7,3,2,6,4,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,8,1,7,2,6,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[8,1,5,7,2,6,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[3,7,8,5,1,6,2,4] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[6,5,2,7,8,1,4,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,1,2,8,5,6,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[8,7,2,1,5,6,3,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,6,7,1,5,2,3,4] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,1,7,8,5,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,5,6,2,1,8,4,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,7,5,2,1,6,4,3] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[7,1,3,5,8,6,2,4] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[5,1,3,4,6,8,7,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,1,1,1] => 5

[4,5,3,6,8,2,7,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[4,6,7,8,5,1,3,2] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[8,4,3,1,2,6,7,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[8,5,1,6,3,4,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[5,1,8,6,3,4,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[4,6,8,1,5,3,7,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[6,4,5,8,3,2,7,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[3,6,4,8,7,1,5,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[6,5,8,1,3,4,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[5,6,8,3,1,2,7,4] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[6,1,8,3,5,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,7,1,3,5,6,2,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[3,4,8,1,2,6,7,5] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[5,8,2,3,1,6,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,8,2,3,5,6,1,4] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[8,6,5,1,4,3,7,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[2,7,8,4,1,6,3,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,6,5,4,1,3,8,7] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[3,4,6,5,1,8,2,7] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[4,6,1,5,2,3,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[2,6,7,5,1,8,4,3] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,2,5,1,8,3,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,6,5,2,8,3,4,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[2,6,3,5,1,8,7,4] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,4,7,6,5,8,1,3] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[2,1,4,8,7,6,3,5] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[3,2,8,7,5,1,6,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,5,1,6,7,2,3] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,8,5,1,6,7,2,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[7,8,6,1,3,5,2,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,2,3,8,6,7,4,1] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,1,1,1,1] => 4

[8,3,5,4,6,7,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,1,3,8,6,7,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[6,2,1,5,3,8,7,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,6,3,2,8,1,4,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[8,1,6,3,5,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,7,6,2,5,3,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[2,7,5,8,1,3,4,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[7,6,2,8,5,1,4,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,1,3,7,5,2,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,4,8,7,5,1,6,2] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[6,3,8,1,4,2,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,4,6,8,5,1,3,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[7,1,5,8,2,6,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[5,2,8,1,6,7,3,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,8,4,6,7,3,1] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1] => 4

[8,4,3,2,6,7,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[4,2,8,1,6,7,3,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,4,8,1,6,7,3,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,8,5,7,4,1,3,6] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[5,8,4,1,6,7,2,3] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,8,1,4,6,7,2,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[8,2,3,4,6,7,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[7,4,3,2,8,5,1,6] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,4,2,6,5,3,1,7] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[7,4,2,5,3,1,6,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,3,6,2,5,4,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,4,8,3,2,6,1,7] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,3,6,4,2,1,7] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[1,6,4,3,2,8,7,5] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,5,3,2,8,4,7,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[5,7,4,3,1,2,6,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[2,8,7,3,5,1,4,6] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[7,3,8,6,4,1,2,5] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[6,1,2,7,3,8,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[2,1,7,4,3,8,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[6,1,4,3,8,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,3,2,8,7,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[1,8,4,2,7,6,5,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[1,8,3,7,2,6,5,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[5,1,4,8,3,7,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,4,8,6,1,3,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,7,6,1,2,5,3,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[7,3,6,1,2,5,4,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,4,7,1,3,2,6,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,7,4,8,2,1,3,6] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[7,4,6,2,1,5,3,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[1,2,6,3,8,5,7,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[1,5,2,6,8,4,7,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[7,4,8,5,1,6,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,8,3,6,1,7,4,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[8,6,4,2,1,7,5,3] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[7,4,2,1,5,8,6,3] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[7,6,4,1,8,5,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[1,6,4,8,7,5,3,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [3,1,1,1,1,1] => 3

[7,5,1,3,2,8,6,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[4,7,1,2,5,8,6,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[7,5,8,1,2,6,4,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[7,4,8,1,6,3,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,6,1,8,2,4,7,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[1,3,8,7,6,2,5,4] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[5,4,1,8,7,3,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[3,5,1,8,7,2,4,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,6,1,8,3,7,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,7,1,2,8,6,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[7,6,8,1,5,4,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,6,1,7,5,4,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[7,1,5,8,6,4,3,2] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [3,1,1,1,1,1] => 3

[5,1,8,7,3,6,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[4,1,8,7,6,2,5,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[3,1,8,7,6,5,2,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[1,6,4,5,2,3,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,7,4,5,2,3,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,7,3,5,2,4,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,6,3,5,2,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,6,3,4,2,5,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,7,3,4,2,5,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,8,6,7,3,4,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,8,5,7,3,4,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,7,3,4,2,6,5,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,5,2,8,4,7,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,4,2,8,5,7,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,7,3,5,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,8,4,7,3,5,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,7,3,6,2,5,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,7,3,6,2,4,5,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,7,4,6,2,3,5,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,8,5,6,2,3,4,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,8,5,6,2,4,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,3,2,8,5,6,4,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,4,2,8,5,6,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,5,2,8,4,6,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,6,2,8,4,5,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[8,6,4,7,2,1,3,5] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[1,6,4,7,2,8,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,4,7,3,5,8,2,6] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[8,4,6,2,3,5,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,4,8,2,3,6,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[7,4,8,5,2,3,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,8,6,2,4,5,1,7] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[4,8,6,2,3,5,1,7] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[1,7,6,4,8,2,3,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[5,8,7,4,1,2,3,6] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[6,8,5,3,4,1,2,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[6,8,3,7,2,1,4,5] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[6,1,3,7,4,8,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[4,1,7,3,5,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,8,5,7,2,3,4,6] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[6,1,5,8,2,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[6,1,5,7,8,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[7,4,8,6,1,2,3,5] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[3,8,7,5,1,2,4,6] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[3,7,6,1,2,4,5,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[4,7,6,1,2,3,5,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[1,6,5,8,2,3,4,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[6,5,8,4,1,2,3,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,5,7,4,1,2,3,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[7,6,4,8,2,1,3,5] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,4,8,5,1,6,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,2,3,1,7,4,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,4,1,2,7,3,5] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,6,1,3,8,2,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,5,8,1,3,6,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,4,1,8,2,3,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[1,4,8,7,2,3,5,6] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,5,8,7,2,3,4,6] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[6,5,1,8,2,3,4,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[5,7,1,3,8,2,4,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[7,6,8,1,5,2,3,4] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,1,5,8,6,2,3,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[6,1,8,2,7,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,1,8,7,2,3,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[5,1,8,7,2,3,4,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[1,8,7,6,4,5,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [3,1,1,1,1,1] => 3

[1,8,7,3,6,5,4,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [3,1,1,1,1,1] => 3

[7,1,5,8,3,4,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,1,4,3,2,5,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,4,2,3,8,5,7,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[2,4,1,7,5,8,3,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,1,4,6,5,2,3,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,1,4,6,5,8,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[7,1,4,6,3,8,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,1,4,6,5,2,8,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,4,6,5,3,2,8] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[3,4,7,1,6,8,2,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,4,7,1,6,8,5,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[2,4,1,7,5,3,6,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,4,1,7,8,6,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[6,4,2,7,5,3,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[5,4,7,3,6,8,2,1] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [3,2,1,1,1] => 3

[4,8,7,1,3,5,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[4,8,3,1,2,6,5,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,4,7,1,6,2,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,4,7,1,6,2,8,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,4,7,2,6,5,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[5,8,1,6,3,4,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,8,5,1,3,7,2,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,4,7,3,6,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[5,4,7,2,6,1,8,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,4,3,7,5,1,2,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,4,3,7,5,1,8,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,2,4,3,1,5,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[3,8,7,4,1,5,2,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,4,7,3,6,1,5,8] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[3,2,5,8,6,1,4,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[8,4,3,7,5,2,6,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[4,3,7,8,5,1,2,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[5,3,7,8,4,1,2,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[5,2,3,8,4,1,6,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[8,6,5,3,7,2,4,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[7,5,4,3,8,2,6,1] => [[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [2,2,1,1,1,1] => 2

[6,4,5,3,8,2,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,4,6,3,8,2,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,5,6,3,8,2,4,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,5,6,3,7,2,4,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,4,6,3,5,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,4,6,3,5,2,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,4,7,3,5,2,6,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,5,7,3,4,2,6,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,5,8,3,4,2,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,5,8,3,4,2,6,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,5,8,4,6,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,4,8,3,6,2,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,4,8,3,5,2,6,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,4,8,3,5,2,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,4,7,3,5,2,8,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[5,4,8,3,7,2,6,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,5,8,3,7,2,4,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,5,8,4,7,2,3,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,4,7,3,8,2,5,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[5,4,7,3,8,2,6,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[5,4,6,3,8,2,7,1] => [[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [2,2,2,1,1] => 2

[5,3,6,2,4,7,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[5,3,6,1,4,8,7,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,3,7,2,4,6,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[4,2,1,5,8,6,7,3] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[4,2,1,5,8,7,6,3] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[6,7,3,1,4,8,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,3,7,1,4,8,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,3,1,5,7,8,2,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[3,2,1,8,5,4,6,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,2,1,8,7,5,4,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,2,7,1,8,4,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,1,8,6,5,4,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[4,3,1,6,7,8,5,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[4,2,1,6,8,5,7,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[4,2,1,6,8,5,3,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,2,6,1,8,4,3,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,2,6,1,8,7,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,2,6,1,8,7,3,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,2,6,1,8,3,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,3,1,6,7,8,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[6,7,3,1,5,8,2,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,1,7,8,6,3,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[3,2,1,8,7,6,4,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[3,2,1,8,6,4,7,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[3,2,1,8,6,4,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,2,1,8,4,6,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,2,1,8,4,7,6,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[3,2,1,8,7,4,6,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[5,2,7,1,8,3,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,7,1,8,3,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,2,1,7,8,3,5,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,4,8,6,2,5,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,3,8,2,4,5,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,4,3,8,1,5,2,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,6,7,3,8,2,4,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[5,4,7,2,6,8,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,3,8,2,4,6,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[6,4,8,2,7,5,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,6,3,7,8,2,4,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[6,3,7,2,5,8,4,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[5,3,6,8,2,4,7,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[5,3,6,7,8,2,4,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[3,6,4,2,1,5,8,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[5,6,3,4,2,1,8,7] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[5,6,4,2,1,3,8,7] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[2,8,5,4,1,6,3,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,8,6,3,5,4,1,7] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[2,7,8,6,3,5,4,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [3,2,1,1,1] => 3

[4,3,8,5,7,6,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[7,6,2,1,8,4,3,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,4,2,1,5,6,3,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[2,5,6,3,8,4,1,7] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[6,3,4,2,1,8,5,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[3,8,5,6,4,2,1,7] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[3,8,6,4,2,1,5,7] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[8,5,3,7,6,2,4,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[7,6,2,4,1,8,5,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,4,1,7,6,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,6,2,3,8,5,4,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 3

[2,1,6,4,3,7,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,4,2,1,3,7,8,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[5,7,6,2,3,8,4,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[2,6,1,8,4,3,7,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,4,2,3,7,5,6,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[8,5,7,6,2,1,4,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,5,7,6,2,1,3] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[4,7,6,2,1,3,8,5] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,6,1,8,4,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,4,7,8,3,2,1,5] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[7,6,5,4,3,2,8,1,9] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[6,3,7,2,5,4,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,3,2,7,5,4,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,4,2,6,3,1,7,5] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[1,5,3,7,4,2,8,6] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,6,7,3,4,2,8,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[8,6,5,2,3,1,7,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[1,7,6,3,4,2,8,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,8,6,3,2,5,7,4] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[8,7,5,2,1,4,6,3] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[7,8,5,2,1,4,6,3] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,8,5,2,3,1,7,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,2,8,6,4,1,7,5] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[3,2,1,7,5,4,8,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[4,1,3,7,5,2,8,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,7,3,4,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,6,3,2,5,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[5,1,8,3,2,6,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[3,2,8,7,1,5,6,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,2,7,1,5,6,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,8,7,2,1,4,6,3] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,8,7,1,3,4,5,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[8,6,7,1,3,4,5,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[7,6,8,1,3,4,5,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[6,5,8,2,3,1,7,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,4,2,7,1,5,6,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,4,2,8,1,5,6,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,4,2,8,3,1,7,5] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[5,4,2,3,8,1,7,6] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,5,2,3,1,6,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[7,4,2,1,3,6,8,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[8,4,2,1,3,6,7,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[5,6,1,3,4,2,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,7,1,2,4,5,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[8,6,1,2,4,5,7,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[8,7,1,2,4,5,6,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[7,8,1,2,4,5,6,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[1,4,7,6,3,2,5,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[4,8,3,2,7,6,1,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,3,8,2,7,1,6,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,2,8,1,7,6,5] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,1,8,7,3,2,5,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[4,7,8,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,4,2,7,1,6,8,5] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,6,3,4,7,8,1,5] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[3,1,7,8,4,2,5,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[3,7,2,4,8,6,1,5] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[3,2,7,4,8,1,6,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,7,1,5,8,2,3,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,6,7,3,8,4,1,5] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[8,6,5,2,7,3,4,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[7,4,8,5,6,3,2,1] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,1,1,1,1,1] => 3

[3,4,6,7,8,5,1,2] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,2,1] => 5

[1,2,6,4,7,5,8,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [5,1,1,1] => 5

[3,1,7,5,4,2,6,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,6,2,5,4,7,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[1,8,2,5,6,3,7,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,2,6,4,8,5,7,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [5,1,1,1] => 5

[4,8,1,5,2,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[7,4,1,5,2,3,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[5,6,1,8,4,3,2,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,1,8,6,4,3,2,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[6,1,2,5,8,3,7,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[6,1,8,7,4,3,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[7,1,2,5,4,8,6,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[1,2,7,5,8,3,6,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[1,3,6,7,8,5,2,4] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [5,2,1] => 5

[4,1,6,3,7,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[3,1,6,4,8,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,5,1,8,4,3,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[6,5,1,7,4,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[4,1,6,8,3,7,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,4,6,1,3,8,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,5,8,1,4,3,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[1,3,5,7,4,6,8,2] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [5,2,1] => 5

[1,3,5,4,7,8,2,6] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[1,3,5,4,7,2,8,6] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[1,3,5,7,4,8,2,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[1,3,5,7,4,8,6,2] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [4,2,1,1] => 4

[1,3,5,7,8,4,2,6] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [5,2,1] => 5

[1,6,3,2,7,4,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[3,5,1,6,2,8,7,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[1,3,7,2,5,4,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,3,7,5,2,4,8,6] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[2,5,3,7,4,8,1,6] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[3,2,6,7,8,1,5,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,5,2,7,8,4,1,6] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[1,5,7,4,8,3,2,6] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[4,6,2,1,7,8,3,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,1,6,8,2,4,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,5,3,7,2,4,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,2,4,7,3,1,5,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,4,7,8,3,1,5,6] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[6,3,1,5,8,2,4,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,5,3,4,2,8,1,7] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[3,2,4,8,1,5,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[3,2,4,6,8,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[8,1,5,7,3,2,4,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,6,7,8,2,3,1,5] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[7,2,4,8,3,1,5,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[5,3,8,7,2,4,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[2,4,8,7,3,1,5,6] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[4,6,8,7,2,3,1,5] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[8,7,4,6,2,3,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,6,8,7,2,3,1,4] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[6,4,8,7,2,3,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,1,7,4,2,8,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[3,2,8,4,1,7,6,5] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,4,8,2,3,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[5,7,6,8,2,3,1,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,7,6,8,2,3,1,5] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[8,6,4,7,2,3,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,2,3,7,4,1,6,5] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[3,7,4,8,2,5,1,6] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[2,3,7,4,1,6,8,5] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[4,7,8,6,2,3,1,5] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[2,4,7,3,1,5,8,6] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[6,3,1,7,4,2,8,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,5,7,6,2,3,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,8,6,2,3,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,1,7,6,4,2,8,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[4,8,7,6,2,3,1,5] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[6,8,7,5,2,3,1,4] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[4,3,6,1,5,8,7,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,3,6,5,1,8,7,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,6,3,5,1,8,7,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[4,1,6,5,3,8,7,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[4,6,1,5,3,8,7,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[2,6,5,3,1,8,7,4] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,6,5,8,1,7,3,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,6,5,8,1,3,7,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,6,5,8,3,1,7,4] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[4,6,1,5,8,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[4,1,6,5,8,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[1,4,6,5,8,3,7,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1] => 4

[4,1,6,5,8,7,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[2,6,5,3,8,7,1,4] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[6,4,3,8,7,1,5,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,8,3,7,1,5,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,6,8,1,5,7,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[4,1,6,8,5,7,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[1,4,6,8,5,3,7,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [4,2,1,1] => 4

[2,6,8,5,1,7,3,4] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,6,8,3,1,5,7,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[4,6,3,8,1,5,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,6,3,8,5,7,1,2] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,3,6,8,1,5,7,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,3,6,1,8,5,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,3,1,6,8,5,7,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[4,1,3,6,8,7,5,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [4,1,1,1,1] => 4

[4,3,6,1,8,7,5,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[4,3,6,8,1,7,5,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[6,5,2,8,7,3,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[6,5,2,8,7,1,3,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,2,5,8,7,1,3,4] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[4,6,3,8,1,7,5,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[4,6,3,1,8,7,5,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[4,1,6,3,8,7,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[1,4,6,3,8,7,5,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,2,1,1,1] => 3

[4,1,6,8,3,7,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[4,6,1,8,3,7,5,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[4,6,8,1,3,7,5,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[2,4,8,7,1,5,3,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[4,2,8,7,5,3,1,6] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[6,4,1,8,7,5,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[4,2,8,7,5,1,3,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[2,4,8,7,3,5,1,6] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[2,3,4,5,6,8,9,7,1] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [7,1,1] => 7

[2,3,4,7,8,5,6,1] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [5,2,1] => 5

[2,3,7,1,4,8,6,5] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[2,6,1,3,7,8,5,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[2,3,4,5,6,7,10,1,8,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[1,5,3,2,6,7,4,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,7,3,2,8,5,4,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,3,2,7,5,4,8,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[5,4,7,6,2,3,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,6,4,8,2,1,5,7] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[4,6,2,3,7,5,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[4,7,2,3,6,5,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[4,7,2,3,5,6,1,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[4,6,2,3,5,7,1,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,5,2,1,6,8,4,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,6,8,4,2,1,5,7] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1] => 3

[4,3,2,6,1,8,5,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[1,7,2,3,4,8,6,5] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,1,1,1] => 5

[4,1,8,2,3,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[2,3,1,8,4,5,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[7,3,2,1,4,5,8,6] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[7,8,1,4,3,5,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,1,2,3,4,6,8,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => 6

[6,1,2,3,4,8,7,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,1,1,1] => 5

[1,8,2,3,4,7,6,5] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,1,1,1] => 5

[8,1,2,3,4,6,7,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,1] => 6

[2,8,1,3,5,4,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[8,3,2,1,4,5,7,6] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[3,8,2,1,5,6,4,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,8,4,6,2,1,5,7] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[8,4,2,5,3,1,6,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,5,2,4,3,1,6,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,3,2,5,4,1,6,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[4,3,2,5,1,8,6,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[3,5,2,4,1,8,6,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,4,7,8,1,5,3,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[1,8,7,3,5,4,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[5,1,8,2,7,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[5,1,7,2,8,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[6,1,2,8,5,3,4,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[6,3,2,1,8,4,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,8,2,3,4,6,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,7,1,3,4,8,2,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[6,8,1,3,4,7,2,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[1,7,2,3,4,6,8,5] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [6,1,1] => 6

[1,6,2,3,4,8,7,5] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [5,1,1,1] => 5

[7,6,2,3,4,1,8,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,6,2,3,4,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,8,7,3,5,6,1,2] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[4,8,7,5,3,6,1,2] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,7,3,4,6,1,2] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[5,8,4,2,1,6,7,3] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,3,7,2,6,1,8,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,2,8,1,6,3,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,8,2,5,1,7,6,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[4,8,1,5,2,7,6,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[5,8,1,2,4,7,6,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[5,2,8,3,6,7,1,4] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,8,7,6,2,4,1,5] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[2,8,7,6,4,1,3,5] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[7,8,2,6,5,1,3,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[1,8,7,6,4,2,3,5] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[2,8,7,6,3,1,4,5] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[1,8,7,6,2,4,3,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,8,7,6,3,4,2,5] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[2,8,1,4,5,6,7,3] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[2,1,7,3,6,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[3,1,7,2,6,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[3,2,7,1,6,5,8,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,1,2,8,5,7,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[6,4,2,1,7,5,8,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[6,1,3,8,5,2,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[2,3,7,1,6,8,5,4] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[7,8,2,6,5,3,1,4] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[1,2,7,5,6,3,8,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[2,8,7,6,4,3,1,5] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [2,2,1,1,1,1] => 2

[3,8,7,6,1,2,5,4] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[3,8,7,6,2,1,5,4] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,7,6,2,1,3,5] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[4,8,7,6,1,3,2,5] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[3,8,7,6,4,1,2,5] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[7,8,3,6,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[2,3,7,5,6,8,1,4] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => 5

[3,8,7,6,4,2,1,5] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [2,2,1,1,1,1] => 2

[5,1,4,6,8,2,3,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[1,7,6,3,5,4,8,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[4,3,7,2,6,5,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,4,6,1,5,7,2,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[1,6,8,5,7,3,4,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[2,4,1,5,8,6,3,7] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[4,6,1,2,5,8,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[5,6,7,2,1,4,8,3] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[7,8,6,5,1,2,4,3] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[1,3,6,5,7,8,2,4] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[7,4,8,5,3,1,6,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,8,5,2,4,1,7,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,3,1,6,8,5,7,4] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[7,3,2,5,1,4,8,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[1,5,8,3,4,6,7,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1] => 5

[8,3,1,2,4,7,6,5] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[2,3,8,1,6,5,4,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[8,1,4,7,2,5,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,5,2,4,1,7,8,6] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[3,4,7,8,6,2,1,5] => [[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [4,2,1,1] => 4

[3,4,8,6,2,7,1,5] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[5,8,2,1,6,7,3,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,7,2,8,6,4,3,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[6,1,2,7,5,3,8,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[7,3,2,8,6,4,1,5] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[2,7,8,4,6,3,1,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[7,3,5,2,6,1,8,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,5,2,3,6,1,7,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,1,6,3,5,7,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,2,8,7,3,6,5,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[4,5,8,7,1,2,6,3] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[1,5,8,7,3,2,6,4] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[2,6,8,1,7,5,4,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[3,6,8,4,7,2,1,5] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[2,5,8,3,7,6,1,4] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[1,5,8,3,7,2,6,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[3,5,8,4,7,2,1,6] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[2,1,8,4,3,7,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[5,6,8,4,1,2,7,3] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[5,6,8,1,3,2,7,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[1,6,8,4,3,2,7,5] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[5,6,8,4,3,2,1,7] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,1,1,1] => 3

[7,1,2,8,6,5,4,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,1,1,1,1,1] => 3

[7,1,4,8,6,2,5,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[7,3,1,8,6,2,5,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,1,4,8,3,2,6,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[7,4,5,8,3,2,1,6] => [[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [3,2,1,1,1] => 3

[1,6,2,8,7,5,4,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [3,1,1,1,1,1] => 3

[1,6,4,8,7,2,5,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[3,6,4,8,7,2,1,5] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[3,1,5,8,7,2,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,4,8,7,2,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[1,6,4,8,2,7,5,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[2,4,5,8,3,7,1,6] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[4,6,5,8,1,2,7,3] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[1,4,5,8,3,2,7,6] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1] => 4

[7,6,3,4,8,2,1,5] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[7,2,5,1,8,6,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,2,1,4,8,6,5,3] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[7,2,1,3,8,6,5,4] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[7,2,3,4,8,6,1,5] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[7,3,5,4,8,2,1,6] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[2,6,5,1,8,7,4,3] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[2,3,5,4,8,7,1,6] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4

[1,6,5,4,8,2,7,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,6,5,3,8,2,7,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,6,3,4,8,2,7,5] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,3,5,4,8,2,7,6] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[3,6,5,4,8,2,1,7] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[7,6,5,2,3,8,1,4] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,6,1,4,2,8,5,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,6,1,2,3,8,5,4] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[7,1,5,4,2,8,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[7,1,5,2,3,8,6,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[7,1,2,4,3,8,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[7,6,1,4,3,2,8,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,1,5,4,3,2,8,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[2,7,8,3,5,4,1,6] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[4,7,1,2,8,5,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[4,8,1,2,7,5,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[2,7,1,3,6,8,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[6,7,3,2,8,1,4,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,3,4,2,6,1,8,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,7,4,2,1,5,3,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[2,7,1,3,6,5,4,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[8,4,3,1,5,6,7,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[8,5,3,4,1,6,7,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,4,8,2,1,5,3,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,8,3,2,5,1,4,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[6,1,4,2,7,5,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[5,4,3,7,1,6,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[8,2,7,6,5,4,1,3] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[7,2,8,6,5,4,3,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,1,1,1,1,1,1] => 2

[8,1,9,7,6,5,4,3,2] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,1,1,1,1,1,1,1] => 2

[3,9,8,7,6,5,4,1,2] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [2,2,1,1,1,1,1] => 2

[8,7,2,6,5,4,1,3] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[3,2,8,7,6,5,1,4] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[4,8,7,6,5,3,1,2] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [2,2,1,1,1,1] => 2

[7,8,6,1,5,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,9,1,7,6,5,4,3,2] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [2,2,1,1,1,1,1] => 2

[7,3,8,6,5,4,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,1,1,1,1,1,1] => 2

[8,2,9,7,6,5,4,3,1] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,1,1,1,1,1,1,1] => 2

[9,1,10,8,7,6,5,4,3,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,1,1,1,1,1,1,1,1] => 2

[4,8,5,7,6,3,2,1] => [[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [3,1,1,1,1,1] => 3

[8,5,6,1,3,2,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,6,1,5,3,2,4,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,8,1,5,3,2,4,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[8,1,7,5,3,2,4,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[8,6,1,4,5,2,3,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,6,3,1,5,2,4,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,4,6,1,5,2,3,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,6,2,1,5,4,3,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,5,2,6,1,4,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,2,1,7,4,3,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,2,7,5,1,3,4,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,4,1,7,5,2,3,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,2,7,1,5,4,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,2,6,1,7,4,3,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,1,7,4,3,2,6,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,1,5,7,3,2,6,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[5,7,8,1,3,2,6,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[8,2,6,1,5,7,3,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,8,1,6,7,2,3,4] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[6,7,2,5,1,8,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,5,1,6,8,2,3,4] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,5,7,1,8,2,3,4] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,7,3,8,1,2,4,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[7,5,4,1,8,2,3,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,6,1,4,8,2,3,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,5,8,1,3,2,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,3,7,4,1,2,5,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,5,1,7,3,2,4,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,8,1,7,3,2,4,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[7,3,1,8,6,4,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,4,5,1,7,2,3,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,6,8,1,7,2,3,4] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[6,5,8,1,2,7,3,4] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,2,7,8,3,1,5,4] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[5,8,1,7,3,2,6,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,4,1,7,3,2,6,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,2,7,4,1,3,6,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,4,3,8,1,2,6,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,2,3,6,7,1,5,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[7,8,5,2,3,6,4,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,5,2,4,6,8,1,7] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[2,4,5,3,6,8,1,7] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[5,2,4,6,8,1,3,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[5,1,3,4,6,8,2,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[4,3,5,2,6,8,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[4,3,5,7,2,6,8,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[4,6,3,1,7,8,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,3,5,1,7,8,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,7,1,3,4,8,2,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[5,7,1,3,4,6,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[4,5,7,1,3,6,8,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[4,3,6,7,1,5,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,6,3,5,1,7,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,6,3,5,7,2,8,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[3,5,6,4,1,7,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[6,4,7,1,3,5,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[1,6,7,3,4,5,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1] => 5

[2,6,7,4,5,8,1,3] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[2,6,7,4,8,1,3,5] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[5,3,6,1,2,7,8,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[3,5,2,6,1,7,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,2,3,6,7,4,8,1] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [4,2,1,1] => 4

[5,2,3,6,1,7,8,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[5,2,6,1,3,7,8,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[6,3,7,2,4,5,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[7,2,4,6,8,1,3,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[7,1,3,4,6,8,2,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[3,7,2,4,6,8,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,3,7,2,5,8,1,4] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,3,5,7,2,4,8,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[6,2,4,5,1,7,8,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,7,1,2,5,6,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[2,6,7,5,8,1,3,4] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,6,7,1,2,5,8,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[5,4,2,6,1,7,8,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,4,5,1,2,7,8,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[6,3,5,1,7,8,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,5,7,2,8,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,5,7,1,3,4,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[5,6,4,7,1,3,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,4,6,3,1,7,8,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,5,3,2,4,8,1,6] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,4,5,2,6,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,4,2,1,6,3,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,5,3,4,1,6,2,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,5,3,1,6,2,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,4,2,1,8,3,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,5,4,2,1,6,8,3] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[7,4,5,3,1,6,8,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,4,3,5,6,1,8,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[5,6,7,3,1,4,8,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[6,7,3,4,1,5,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,7,4,2,1,5,8,3] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,6,7,3,1,8,2,4] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[7,4,5,2,8,1,3,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,4,2,1,3,8,5] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[7,6,3,4,1,2,8,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,6,3,2,4,1,8,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,7,3,2,5,1,8,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,5,3,2,7,8,1,4] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[6,5,3,2,7,4,8,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[6,4,5,2,7,3,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,4,5,2,7,8,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[7,4,5,2,6,1,8,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,7,3,5,1,2,8,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,6,7,4,1,2,8,3] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[6,5,7,2,1,8,3,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,7,2,1,4,8,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,4,6,7,3,1,8,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[3,7,8,5,6,1,4,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[1,7,8,5,6,3,4,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[3,7,5,8,6,1,4,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[5,7,3,8,6,4,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[1,5,7,8,6,3,4,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [4,2,1,1] => 4

[5,3,7,8,1,6,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,3,5,8,6,1,4,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[7,8,1,5,6,3,4,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[7,1,8,5,6,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[5,1,7,8,3,6,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[3,1,7,8,5,6,4,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[1,3,7,8,5,6,4,2] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [4,2,1,1] => 4

[3,1,7,5,8,6,4,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[5,1,7,3,8,6,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[7,1,5,3,8,6,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[7,1,5,8,3,6,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[5,3,7,1,8,6,4,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,5,7,1,8,6,4,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[1,7,5,3,8,6,4,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [3,1,1,1,1,1] => 3

[5,7,3,1,8,6,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[1,7,5,8,3,6,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[5,7,8,6,3,1,4,2] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[5,7,8,1,6,3,4,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,7,8,1,5,6,4,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[1,7,8,3,5,6,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1] => 4

[1,7,3,8,5,6,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [4,1,1,1,1] => 4

[5,7,1,8,3,6,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[7,5,8,1,6,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,5,8,1,3,6,4,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[7,5,1,3,8,6,4,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[5,7,1,3,8,6,4,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[3,7,1,5,8,6,4,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[1,5,3,7,8,6,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [4,1,1,1,1] => 4

[3,5,1,7,8,6,4,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[5,3,1,7,8,6,4,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[7,1,8,3,5,6,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[7,1,3,8,5,6,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[7,1,3,5,8,6,4,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [4,1,1,1,1] => 4

[3,1,5,7,8,6,4,2] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [4,1,1,1,1] => 4

[5,7,3,4,8,6,1,2] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[5,7,3,4,1,8,6,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,7,3,1,4,6,2,8] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,3,7,4,1,2,6,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,3,7,1,4,2,6,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,3,7,1,4,2,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,7,5,1,2,8,6,4] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,7,5,1,2,6,8,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[6,1,4,3,5,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,5,7,3,8,4,1,6] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[5,4,7,8,6,1,3,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[7,5,6,2,8,3,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,7,2,5,8,3,1,6] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[5,1,4,6,3,2,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[3,8,6,7,5,4,1,2] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1] => 3

[2,5,3,4,8,1,7,6] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[5,1,8,2,3,4,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[5,4,7,6,2,8,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,7,8,1,5,4,6,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[7,1,3,4,6,8,5,2] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,1,1,1] => 5

[8,3,6,5,7,1,4,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,8,7,1,4,6,2,3] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[4,7,6,1,8,3,5,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,7,2,6,3,8,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[2,1,8,4,6,7,3,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[4,7,8,6,3,1,2,5] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1] => 3

[3,8,1,5,6,7,2,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[8,2,1,7,6,3,5,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[3,2,4,5,8,1,7,6] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[7,4,6,3,2,1,8,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,7,3,2,1,8,6,5] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,8,1,7,3,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,2,3,1,8,7,5,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,6,8,1,3,5,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,7,5,2,3,1,8,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,4,2,1,8,5,7,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[7,2,1,5,6,8,4,3] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[8,7,2,6,4,1,5,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,1,7,3,6,8,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[2,5,7,8,3,6,1,4] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[7,4,8,1,2,5,6,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[4,2,7,8,6,3,5,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[6,1,7,4,3,2,8,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[6,8,3,4,2,1,7,5] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[4,2,6,1,5,7,8,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[6,5,8,3,7,4,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,8,7,5,3,4,1,2] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[4,8,6,3,1,5,7,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[3,4,8,2,5,7,6,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[2,5,7,4,8,6,1,3] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[6,3,7,2,8,5,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,6,2,5,8,7,1,4] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[2,4,5,8,7,6,1,3] => [[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,2,1,1] => 4

[4,2,7,3,8,1,6,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,1,3,8,7,2,5,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,5,6,2,8,7,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[1,2,4,6,3,8,7,5] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[4,1,5,2,8,7,6,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[4,1,5,3,2,8,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[3,4,5,1,8,7,6,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[1,4,5,2,8,7,6,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[1,6,4,2,8,7,5,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[7,4,2,5,1,8,6,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,5,3,6,2,8,7,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[4,5,8,2,1,7,6,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[3,6,2,5,1,4,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,2,8,4,1,3,7,6] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[2,4,8,7,1,3,6,5] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[6,3,1,7,2,8,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,5,1,2,8,6,4,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[1,5,2,3,8,7,6,4] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [4,1,1,1,1] => 4

[4,5,1,2,8,7,6,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[6,4,1,2,8,7,5,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[5,2,8,1,3,7,6,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,7,5,6,8,3,1,2] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4

[7,5,2,6,4,1,3,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[1,6,3,7,5,8,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [4,1,1,1,1] => 4

[6,8,4,7,5,3,1,2] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[4,8,7,5,6,3,1,2] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[1,6,5,2,8,3,7,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[8,6,5,2,1,4,3,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[2,7,6,3,1,4,5,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[6,8,5,3,2,1,4,7] => [[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [3,2,1,1,1] => 3

[2,7,6,4,5,1,3,8] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[5,7,2,6,4,1,3,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,1,3,7,5,8,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[4,1,7,3,6,8,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[8,1,6,4,3,7,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[1,8,6,3,7,5,4,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [3,1,1,1,1,1] => 3

[1,8,2,7,3,6,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[2,1,3,8,4,7,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,1,2,7,4,3,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[5,3,1,6,8,4,7,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[6,2,8,7,1,4,3,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,2,1,5,4,3,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,2,3,1,4,6,5,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[2,4,8,3,1,5,6,7] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[3,4,2,7,1,5,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,7,3,8,2,1,5,6] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[5,2,7,3,1,4,6,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,3,7,2,1,5,4,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[1,3,7,2,8,4,6,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[6,5,3,8,2,1,4,7] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[2,6,4,5,7,1,3,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[5,4,6,2,7,1,3,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,3,1,8,4,5,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[7,6,2,1,8,5,3,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[1,7,5,8,6,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [3,1,1,1,1,1] => 3

[6,5,7,1,3,8,4,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[1,3,8,7,4,6,5,2] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [4,1,1,1,1] => 4

[1,2,8,7,6,3,5,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [4,1,1,1,1] => 4

[8,2,1,7,6,4,3,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[2,3,1,8,7,4,5,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,4,1,8,5,7,3,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,2,7,1,8,5,3,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,7,1,6,5,4,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[7,1,8,3,6,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[4,1,8,7,5,6,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,7,8,4,6,3,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,8,2,7,1,6,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[2,1,6,4,5,8,3,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[4,6,3,8,5,2,1,7] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[3,5,7,8,2,6,1,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[5,6,2,4,1,3,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[7,6,3,8,5,2,4,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[8,2,3,4,6,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[7,2,3,4,6,1,8,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[8,2,3,4,7,5,1,6] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[7,2,3,4,6,8,5,1] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [5,1,1,1] => 5

[5,2,3,4,7,8,6,1] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [5,1,1,1] => 5

[8,2,3,4,7,1,6,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[5,2,3,4,8,7,1,6] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[5,2,3,4,6,8,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[3,8,6,4,5,1,2,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[4,7,3,6,5,8,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[4,8,3,7,5,2,1,6] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[8,7,3,6,5,1,2,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,2,7,5,1,6,3,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,7,5,8,6,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[5,8,1,7,3,6,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[5,2,7,8,4,6,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[8,2,7,3,1,6,4,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,2,3,4,8,5,1,7] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[8,2,3,4,1,7,5,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,2,3,4,1,8,5,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,2,3,4,8,7,5,1] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [4,1,1,1,1] => 4

[7,2,3,4,1,8,6,5] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[1,2,3,4,8,7,5,6] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [6,1,1] => 6

[1,2,8,5,3,4,6,7] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1] => 6

[1,8,4,2,3,5,6,7] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[8,6,7,4,1,5,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,8,6,7,5,1,3,2] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[8,5,7,1,4,6,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[6,4,8,5,1,7,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,8,5,7,1,6,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,4,7,1,5,6,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[8,7,1,4,5,6,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[8,7,4,5,6,1,3,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,7,5,1,4,6,2,3] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,7,2,5,1,4,6,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[1,6,4,8,5,2,7,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[8,7,5,1,2,4,6,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[3,8,7,1,2,5,6,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[3,5,8,7,1,2,6,4] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[2,3,8,5,7,1,6,4] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[3,8,7,1,5,6,2,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,5,8,7,1,6,2,4] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[4,1,8,6,2,7,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[8,7,4,1,2,6,5,3] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[5,7,1,8,2,6,3,4] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,8,7,1,5,6,3,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[7,1,8,2,4,6,5,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[1,6,2,8,4,7,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,3,8,5,7,2,6,4] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[2,8,7,1,3,5,6,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[5,7,1,8,2,3,6,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[8,6,3,7,4,1,5,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,3,6,1,7,5,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[8,3,4,7,5,1,6,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[8,3,7,4,5,1,6,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,7,4,2,5,6,1,3] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,7,5,1,6,2,3,4] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,7,2,4,1,5,6,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,6,1,7,2,5,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,7,1,8,2,6,5,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,2,8,6,7,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,7,4,1,2,5,6,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[8,2,7,1,6,3,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,2,7,1,3,6,4,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[2,8,3,6,7,1,5,4] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[8,7,2,1,3,5,6,4] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[1,8,7,3,6,2,4,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[8,2,7,4,1,5,6,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[8,7,3,1,5,6,2,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[2,8,7,3,5,6,1,4] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[8,3,1,6,7,5,2,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,5,2,1,6,7,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[1,5,2,8,6,7,4,3] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [4,1,1,1,1] => 4

[8,2,3,6,7,5,1,4] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[8,3,7,2,5,6,1,4] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,1,3,7,5,6,2,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[8,4,1,2,7,5,6,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[8,1,4,2,6,7,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[1,2,8,6,7,3,5,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[8,1,2,7,3,6,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,1,7,2,6,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,1,7,2,3,6,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[1,8,3,6,7,2,5,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[8,3,7,1,2,5,6,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[2,8,5,7,4,6,3,1] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [3,2,1,1,1] => 3

[8,3,5,7,4,2,6,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[8,3,6,2,4,5,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[2,8,6,4,3,5,7,1] => [[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [4,1,1,1,1] => 4

[2,6,8,3,5,4,7,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[2,7,5,8,4,6,3,1] => [[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [3,2,1,1,1] => 3

[8,4,2,7,6,1,3,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[4,8,1,7,6,3,2,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,1,7,6,2,3,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,7,1,8,6,2,5,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,1,6,8,7,5,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[6,3,8,7,5,2,4,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[7,3,5,8,4,2,6,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[7,3,6,4,2,8,5,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,4,8,2,1,6,3,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,4,6,3,2,5,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[7,5,2,3,1,4,8,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,4,6,2,3,8,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[4,6,5,8,1,3,2,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,7,1,5,3,8,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,7,8,1,3,6,2,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[5,7,1,3,4,6,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[5,7,1,4,2,3,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[5,8,1,3,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,8,6,1,3,2,7,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,4,8,7,3,1,2,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[5,4,6,8,2,3,7,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[6,4,7,2,1,8,3,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,3,4,1,2,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,4,3,7,1,5,2,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[9,8,7,6,5,2,3,1,4] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[9,6,7,5,4,3,2,1,8] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[6,4,2,8,1,5,7,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,3,7,8,2,6,4,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[5,3,7,6,8,2,4,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[4,8,6,7,5,3,2,1] => [[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [3,1,1,1,1,1] => 3

[6,3,8,7,2,4,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,3,8,7,2,6,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,3,8,6,7,2,4,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[5,3,7,8,6,2,4,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[5,4,6,2,8,7,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,7,4,8,6,2,3,5] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[3,6,2,5,7,8,1,4] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[5,2,7,4,6,8,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,3,6,7,1,8,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,5,6,7,1,8,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[8,1,3,6,7,2,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[8,1,4,2,7,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[6,3,4,1,8,5,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,7,5,2,8,6,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[3,6,4,8,1,5,7,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[3,5,7,4,1,6,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[3,5,7,1,2,6,4,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[4,5,1,8,2,3,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[4,7,1,8,2,6,3,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,5,1,2,3,8,6,4] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[6,7,1,3,2,5,4,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[7,8,2,4,3,5,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[7,8,2,4,1,5,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[1,4,2,6,5,7,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[6,7,2,4,3,5,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[2,4,1,6,5,7,3,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,5,2,6,4,7,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[2,5,1,6,4,7,3,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,6,5,7,4,8,1,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[4,5,2,6,1,7,3,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,5,1,6,3,7,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,5,3,6,1,7,2,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,6,3,4,1,7,2,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,5,8,1,3,2,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,5,1,3,2,7,6,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,6,5,7,1,3,2,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,6,1,3,2,7,5,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,4,3,6,2,7,5,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[3,4,1,6,5,7,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,5,2,3,1,7,6,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,6,5,7,3,8,1,2] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,5,4,6,1,7,2,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,5,1,6,4,7,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,5,3,6,4,7,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,5,3,6,2,7,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[3,5,2,6,1,7,4,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,5,2,6,4,7,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,4,2,6,1,7,5,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,4,3,6,1,7,5,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,5,3,6,4,7,1,8] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,5,3,6,1,7,4,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,6,1,7,3,8,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,2,6,7,4,3,8,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[1,5,7,2,8,3,6,4] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[2,5,7,3,1,8,4,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,1,5,6,8,4,3,7] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[4,6,2,7,1,8,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,1,5,6,8,7,3,4] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[3,6,5,2,7,8,4,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[1,5,7,8,4,2,6,3] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1] => 4

[4,2,5,7,3,1,8,6] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[4,5,6,1,8,7,3,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[4,3,5,7,6,1,8,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[4,3,2,6,1,7,5,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,2,1,6,4,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[5,3,1,6,2,7,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,6,1,7,5,3,2,8] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,3,6,4,2,1,7,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[5,3,2,6,4,1,7,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,2,1,6,3,7,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,2,6,3,1,7,4,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,6,3,1,7,8,5] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[3,6,2,7,4,1,5,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,5,7,2,8,6,4,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[2,4,7,1,3,6,5,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,6,1,3,7,5,4,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[5,1,6,2,7,4,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[5,2,6,4,3,1,7,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[5,2,1,6,4,3,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,4,2,1,6,3,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[5,4,2,6,3,1,7,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,4,1,6,2,7,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[2,6,1,5,4,3,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,1,6,2,5,4,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,1,6,4,3,2,7,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[5,4,1,6,3,2,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,4,3,1,6,2,7,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[3,8,2,6,5,4,1,7] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[7,3,2,1,5,4,6,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,4,2,1,5,6,3,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[7,2,8,6,5,1,3,4] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[4,3,7,2,5,6,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,7,1,4,3,2,5,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,7,1,6,5,2,4,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,5,6,4,7,1,3,8] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,7,1,6,3,5,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,4,5,3,7,8,2,6] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[4,7,3,5,1,8,6,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[8,7,3,6,1,5,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,5,8,7,4,6,1,3] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[5,4,2,1,7,8,3,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[1,4,6,7,3,5,8,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,3,1] => 4

[8,3,6,2,1,7,5,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,3,7,6,4,2,1,5] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[2,3,1,8,4,7,6,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[8,6,5,1,4,7,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[8,5,4,1,7,3,6,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[6,3,7,2,8,5,4,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[1,6,3,8,2,7,5,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,7,5,3,8,2,6,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[6,2,7,4,1,8,5,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,6,3,2,7,5,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[2,7,5,1,3,8,6,4] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[1,7,6,4,3,8,2,5] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[3,7,2,4,8,6,5,1] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,1,1,1] => 3

[3,4,2,8,7,6,1,5] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[5,1,4,3,2,7,8,6] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[3,7,8,5,2,4,1,6] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[5,3,1,7,8,4,2,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,7,6,4,1,3,8,5] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[4,1,7,6,3,2,8,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,4,2,7,6,3,1,5] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[6,3,1,7,5,2,8,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,2,7,5,3,1,8,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[1,5,8,2,7,4,6,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[8,4,7,3,1,6,5,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,6,8,5,7,4,1,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[6,5,2,1,7,4,8,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[5,7,4,6,2,1,8,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[5,6,4,8,3,7,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[6,7,1,8,3,4,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[5,6,2,7,1,8,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[1,8,2,7,4,5,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[2,3,1,8,5,6,4,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,6,2,7,1,5,3,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,7,1,6,2,5,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,7,1,5,3,6,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,8,5,6,3,4,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[4,6,5,8,1,7,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,5,4,6,2,8,1,7] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,7,2,3,1,8,5,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,4,3,8,1,7,5,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[6,1,4,8,7,2,5,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[6,1,8,4,7,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[7,4,5,2,8,6,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[6,8,2,5,3,7,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[2,7,5,3,8,6,4,1] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [3,1,1,1,1,1] => 3

[5,6,2,8,3,7,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[1,5,8,2,7,3,6,4] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[6,7,4,8,1,5,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[1,7,4,8,6,2,5,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[6,8,5,2,3,7,4,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,5,3,8,2,6,4,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,5,2,3,8,6,4,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 3

[6,7,3,4,8,5,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,1,1,1] => 3

[7,4,2,5,8,6,3,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[7,4,5,8,1,6,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[6,3,4,7,8,5,2,1] => [[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [4,1,1,1,1] => 4

[6,1,2,7,4,5,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[2,5,8,3,4,1,6,7] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,6,7,3,2,5,8,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1] => 3

[2,6,7,3,8,5,4,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,2,1,1,1] => 3

[2,5,7,8,4,3,6,1] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,2,1,1] => 4

[3,6,8,4,5,7,1,2] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[1,4,5,7,8,2,6,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => 5

[3,4,5,7,8,6,1,2] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [5,2,1] => 5

[3,4,5,7,6,8,1,2] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[3,6,7,4,8,5,1,2] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[3,4,5,6,8,7,1,2] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,2,1] => 5

[7,8,1,4,6,2,3,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[1,6,7,4,8,2,5,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[1,4,5,6,8,2,7,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,2,1] => 5

[7,8,1,2,3,5,4,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[1,6,7,2,3,5,4,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,6,8,4,5,2,7,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[1,6,8,2,3,7,4,5] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[7,8,1,4,5,2,6,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[7,8,1,2,3,4,6,5] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[7,8,1,2,3,6,4,5] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[1,2,5,6,3,8,7,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,2,1,1] => 4

[4,2,1,6,5,3,8,7] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[4,2,6,3,5,1,8,7] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,6,2,4,3,1,5,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[2,1,6,4,8,5,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[4,2,6,3,5,8,7,1] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,1,1,1,1] => 4

[6,2,4,3,8,5,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[6,2,1,8,4,3,7,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,4,8,5,2,1,7,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,6,8,7,4,5,1,3] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[2,8,5,3,1,4,6,7] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[2,7,4,8,3,5,1,6] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[8,4,2,1,5,3,6,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,5,1,4,2,3,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,4,1,5,3,2,6,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,7,3,8,4,2,1,5] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[1,7,8,4,3,5,2,6] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[7,1,4,8,3,5,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,4,8,1,5,6,2,3] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,1,8,4,3,5,6,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[6,7,3,8,4,5,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[6,7,1,4,8,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[6,7,4,1,3,8,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[1,6,7,8,4,3,2,5] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [4,2,1,1] => 4

[6,2,7,1,8,4,3,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,2,7,8,4,3,5,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[2,6,7,4,8,3,5,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[2,6,7,4,8,3,1,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[7,8,1,3,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,6,7,1,8,5,3,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,6,7,8,5,3,1,4] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,1,1] => 4

[2,6,7,8,5,3,4,1] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,2,1,1] => 4

[6,2,7,8,4,5,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[7,2,1,8,4,5,6,3] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[1,7,2,8,4,5,6,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[3,7,8,1,5,6,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,3,7,8,1,5,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,7,1,2,8,5,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[1,6,7,8,4,2,5,3] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1] => 4

[6,1,2,4,7,3,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,7,5,3,6,4,8,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[4,1,5,7,3,2,6,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,6,1,7,3,2,5,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,6,1,8,3,2,5,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,7,1,8,3,5,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,1,7,8,6,2,3,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,1,8,7,6,2,3,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[4,8,1,7,3,5,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,8,1,6,3,2,5,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,7,1,6,3,2,5,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,8,1,5,3,7,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[8,7,5,2,4,1,6,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[1,5,7,3,4,8,6,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[1,5,8,3,4,7,6,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[7,8,5,2,4,1,6,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,1,2,3,5,6,4,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[8,1,2,3,5,6,4,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[6,8,2,4,3,1,5,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,7,2,4,3,1,5,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,8,1,2,4,5,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[3,7,1,8,6,4,2,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[1,6,4,3,7,5,8,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[3,8,1,7,6,4,2,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[7,6,2,4,3,1,5,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,1,7,6,5,3,2,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[1,5,7,3,4,6,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1] => 5

[6,1,2,3,5,8,4,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[6,1,2,3,5,7,4,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[1,5,6,3,4,7,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1] => 5

[8,6,5,2,4,7,1,3] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,6,2,5,3,1,8,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,4,5,2,3,8,6,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[8,4,7,3,2,5,1,6] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[4,6,2,3,1,5,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[7,2,3,4,5,8,6,1] => [[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [5,1,1,1] => 5

[8,2,3,4,5,7,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[7,3,4,6,8,5,1,2] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[4,7,3,2,8,6,1,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,7,4,5,1,8,6,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,8,2,4,6,7,1,3] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,8,1,3,4,2,7,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,7,2,3,8,5,1,6] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[7,1,3,6,4,8,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[6,2,3,7,8,5,4,1] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [4,1,1,1,1] => 4

[7,2,3,6,8,4,1,5] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[8,2,3,5,7,1,4,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[6,4,8,3,5,1,7,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,8,3,6,7,1,2] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[3,5,1,8,4,6,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[3,6,1,8,4,5,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,6,8,3,5,2,7,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[4,8,2,3,5,6,1,7] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,8,2,3,1,4,5,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,7,8,2,1,4,6,5] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[6,3,2,4,1,8,7,5] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,2,3,4,8,5,1,6] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[8,3,7,4,2,6,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,7,4,1,5,6,2,8] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[8,7,4,2,1,6,3,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,3,5,2,7,4,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,5,3,8,7,6,4,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [3,1,1,1,1,1] => 3

[1,6,5,4,8,2,3,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[5,1,6,8,3,4,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[6,2,5,1,7,4,3,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,2,1,8,7,4,3,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,2,8,3,4,6,1,7] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[6,2,8,4,3,1,7,5] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[7,2,8,1,3,6,5,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[7,3,8,1,4,6,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,5,8,4,6,3,7,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[5,3,8,4,1,2,7,6] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,8,4,3,6,2,1,7] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[1,8,3,6,5,2,7,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,8,2,4,7,6,5,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [4,1,1,1,1] => 4

[3,8,1,4,6,7,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[3,8,2,5,1,7,6,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[4,3,8,2,5,1,6,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,2,4,3,5,1,7,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,1,4,6,5,7,3] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[8,1,3,4,5,7,6,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [5,1,1,1] => 5

[4,1,8,5,2,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[4,1,8,2,3,7,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[5,3,8,7,2,1,4,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[6,7,3,5,1,4,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,4,7,5,8,2,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[5,4,7,6,2,8,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,8,4,6,1,7,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,6,3,7,4,8,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[5,3,6,7,4,8,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[5,4,8,2,6,7,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[5,4,8,6,2,7,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,4,8,5,7,2,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[7,4,8,5,6,2,1,3] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[4,6,8,5,7,2,3,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[5,6,3,8,4,7,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[4,6,3,5,8,7,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,1,1,1] => 3

[3,6,5,8,7,2,4,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[5,3,6,8,2,7,4,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[4,3,7,2,8,6,5,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[5,4,7,2,6,8,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[6,4,7,2,5,3,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,2,7,5,1,4,8,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[6,3,7,8,4,2,5,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[3,5,7,8,4,6,2,1] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [4,2,1,1] => 4

[5,3,7,8,4,6,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[2,5,8,4,3,7,6,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [3,2,1,1,1] => 3

[2,6,8,4,7,3,5,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[3,7,4,8,6,2,1,5] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[3,6,4,8,7,2,5,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[4,3,7,5,8,6,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[4,5,7,3,8,6,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1] => 3

[3,5,6,8,4,7,2,1] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [4,2,1,1] => 4

[6,3,1,8,7,5,4,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[5,4,8,1,7,6,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,5,4,1,7,6,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[1,8,2,5,6,3,4,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,6,7,4,3,5,2,8] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[7,5,8,3,2,1,6,4] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,2,8,4,1,5,6,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[7,5,8,1,2,6,3,4] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[1,6,7,4,3,2,8,5] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[1,5,2,6,4,7,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[1,5,4,6,2,3,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[6,2,5,7,1,4,8,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[6,5,4,3,8,1,7,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,6,8,5,2,4,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[2,7,8,3,6,5,1,4] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[2,6,5,8,3,4,1,7] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,6,5,7,3,4,1,8] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[6,2,5,7,4,1,3,8] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[6,2,5,8,4,1,3,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,7,8,4,6,1,3,5] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[6,1,2,8,3,7,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[6,2,5,7,8,1,3,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[1,5,4,2,6,7,3,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[2,6,5,7,3,8,1,4] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[1,6,2,7,5,8,4,3] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [4,1,1,1,1] => 4

[1,3,2,7,8,5,6,4] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[1,6,2,4,8,7,3,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[6,5,2,1,8,7,3,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[2,6,5,3,7,8,4,1] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [4,1,1,1,1] => 4

[6,2,5,3,8,4,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[1,5,4,2,6,3,8,7] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[5,1,6,3,8,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[9,8,7,6,5,4,3,1,2,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[8,7,6,5,4,2,1,3,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[1,9,8,7,6,5,3,2,4] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [3,1,1,1,1,1,1] => 3

[1,8,7,6,2,5,4,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,9,8,7,6,5,2,4,3] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [3,1,1,1,1,1,1] => 3

[1,10,9,8,7,6,5,4,2,3] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 3

[2,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,1,1,1,1,1,1,1] => 2

[1,2,9,8,7,6,5,4,3] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [3,1,1,1,1,1,1] => 3

[3,2,1,9,8,7,6,5,4] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [2,1,1,1,1,1,1,1] => 2

[1,2,3,9,8,7,6,5,4] => [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [4,1,1,1,1,1] => 4

[4,3,2,1,9,8,7,6,5] => [[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [2,1,1,1,1,1,1,1] => 2

[1,2,4,3,9,8,7,6,5] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [3,5,6,7,8,9,4,2,1] => [4,1,1,1,1,1] => 4

[1,2,3,4,9,8,7,6,5] => [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [5,1,1,1,1] => 5

[1,2,3,4,5,9,8,7,6] => [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [6,1,1,1] => 6

[1,2,10,9,8,7,6,5,4,3] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [3,1,1,1,1,1,1,1] => 3

[3,2,1,10,9,8,7,6,5,4] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [2,1,1,1,1,1,1,1,1] => 2

[1,2,3,10,9,8,7,6,5,4] => [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [4,1,1,1,1,1,1] => 4

[1,2,3,4,10,9,8,7,6,5] => [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [5,1,1,1,1,1] => 5

[1,2,3,4,5,6,10,9,8,7] => [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [7,1,1,1] => 7

[1,2,3,4,5,6,7,10,9,8] => [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [8,1,1] => 8

[5,2,7,4,1,6,3,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,7,3,1,5,6,2,8] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,8,3,4,1,6,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[1,7,8,4,5,6,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[1,6,3,8,5,2,7,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[5,2,3,7,1,6,4,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,2,3,7,5,1,4,8] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[6,2,3,4,8,1,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[8,7,3,2,1,6,5,4] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[8,7,6,3,1,5,2,4] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,5,1,7,2,3,4,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[2,4,8,5,3,7,1,6] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[2,4,1,8,5,3,7,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[2,4,8,6,3,1,7,5] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[3,4,6,8,2,1,7,5] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[3,4,1,5,8,2,7,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[8,1,4,5,3,2,7,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[3,4,1,5,2,8,7,6] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[3,4,6,2,1,8,7,5] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,6,2,1,7,8,4] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[8,1,4,6,3,7,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,1,4,6,3,7,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[3,5,6,2,1,7,4,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[8,1,5,6,7,3,2,4] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[3,4,1,6,8,7,2,5] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,5,6,1,8,7,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,1,3,8,6,7,4,5] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[8,1,3,2,6,7,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[2,3,8,6,7,1,5,4] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[2,5,8,6,1,7,4,3] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,6,1,8,7,4,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[3,4,1,6,8,7,5,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[8,1,4,6,2,7,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[4,5,6,1,7,8,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[4,5,6,1,7,3,8,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,5,1,6,7,4,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[8,1,5,6,7,4,2,3] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[8,1,5,6,7,4,3,2] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,1,1,1,1] => 4

[3,5,1,6,7,4,2,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,5,6,1,7,3,2,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[6,5,8,7,4,3,1,2] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,1,4,8,7,5,2,3] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[1,6,4,8,7,5,2,3] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[1,8,6,2,4,7,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[7,6,2,1,4,8,3,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,4,1,7,8,5,2,3] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[7,6,1,2,4,8,3,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[7,6,1,3,4,8,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,1,6,3,4,7,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,7,2,5,4,8,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[7,1,2,5,4,8,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[2,7,1,5,4,8,3,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,8,6,3,4,7,1,5] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[2,8,6,1,4,7,3,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,8,4,7,3,1,6] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[2,3,7,5,4,8,1,6] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[3,7,2,5,4,8,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[1,5,8,4,7,3,2,6] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[5,8,2,4,7,3,1,6] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[6,8,4,3,7,5,1,2] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,7,5,6,2,1,4,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[1,7,3,5,4,8,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[8,6,3,1,4,7,2,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,6,4,2,7,5,1,3] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,6,4,1,7,2,5,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[1,4,3,2,7,8,5,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[2,4,3,1,7,8,5,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,7,3,5,4,8,1,6] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[3,2,1,4,7,8,5,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,1,7,6,4,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[8,6,4,5,2,7,1,3] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,1,8,6,4,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[7,4,2,5,1,6,3,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,6,5,2,1,4,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[8,3,6,5,2,1,7,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,6,5,2,1,8,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,8,6,4,2,1,3] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,4,2,8,1,3,7,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[5,8,2,6,4,1,3,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,4,2,5,1,8,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,5,2,1,4,7,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[2,5,8,6,3,1,4,7] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[2,3,5,8,1,4,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,3,6,8,1,5,7,4] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[6,3,8,5,2,7,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[6,3,7,5,2,1,4,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,5,7,6,3,1,4,8] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[2,8,7,6,3,1,5,4] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[2,5,8,7,6,3,1,4] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [3,2,1,1,1] => 3

[2,4,8,1,6,5,7,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,8,7,3,6,1,4,5] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[7,3,5,2,1,4,6,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,4,2,5,1,3,7,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[2,3,6,8,1,4,7,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,7,8,6,3,1,4,5] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[7,3,8,5,2,1,4,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,3,6,1,8,4,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,8,6,3,1,4,5,7] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[8,3,5,2,1,4,6,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[2,4,8,1,3,7,5,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[2,5,8,1,7,3,6,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,8,6,1,4,7,5,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,7,1,5,8,3,4,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,7,5,8,1,2,6,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[7,3,6,1,2,8,4,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,4,8,1,6,5,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,4,5,8,6,1,2,3] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[5,1,8,7,6,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[4,6,1,8,7,5,2,3] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,5,1,8,7,2,3,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,4,8,7,1,2,5,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[6,4,8,7,1,2,5,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[6,4,7,1,2,8,5,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[6,5,1,8,2,7,3,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,5,1,8,7,2,3,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,5,1,7,2,8,3,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,8,5,7,4,1,2,3] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[7,3,8,1,5,2,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,5,8,3,4,6,7,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [5,2,1] => 5

[4,5,2,3,1,7,8,6] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[3,2,6,7,4,1,8,5] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[5,6,2,7,1,4,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,2,3,8,1,7,4,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,6,8,3,4,7,1,5] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[4,6,2,7,5,1,3,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[2,4,3,7,8,1,5,6] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[3,5,6,4,7,8,1,2] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[5,3,6,4,2,8,7,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,2,3,8,4,1,7,5] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[2,6,4,1,5,3,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,2,1,4,7,8,3,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[4,2,3,7,8,1,6,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[6,8,3,2,5,1,7,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,8,4,3,1,5,7,2] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,8,4,2,1,5,7,3] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,1,7,3,2,4,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[4,3,8,1,6,2,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,3,2,1,7,4,5,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[6,4,2,1,7,5,3,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,5,2,1,8,6,3,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[5,3,2,7,6,1,4,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,3,2,8,6,1,4,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,3,2,8,7,1,4,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[4,2,8,1,7,3,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,3,8,7,2,1,5,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,1,5,8,4,7,3,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,4,1,7,2,8,6,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[6,5,3,1,7,8,4,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[5,4,2,1,6,7,3,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,4,2,1,7,8,5,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[5,3,2,1,6,7,8,4] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[8,6,1,4,5,7,2,3] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[5,2,8,3,7,4,6,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[6,2,8,5,4,7,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[1,8,6,3,7,4,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[1,8,6,5,7,2,3,4] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[6,5,3,8,4,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[6,4,3,7,1,2,8,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[6,4,3,8,1,2,7,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,3,8,4,2,6,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[6,4,2,7,3,1,5,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,5,1,7,8,2,3,4] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,3,1,7,8,4,2,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[6,1,5,4,3,2,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,7,6,1,3,5,2,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,1,6,5,7,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[7,8,6,2,5,3,1,4] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,1,3,5,2,8,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,1,3,7,4,2,5,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[4,3,8,7,5,2,1,6] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[6,5,2,7,1,4,8,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,4,6,1,3,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,5,2,1,3,8,4,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,4,7,6,3,1,5,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,4,1,5,6,3,8,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[3,4,7,5,6,1,8,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[2,4,7,5,6,3,8,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[5,4,1,7,6,2,8,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[3,5,6,7,1,4,8,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[8,6,2,5,7,1,4,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[2,7,4,5,3,8,1,6] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[6,8,7,1,3,2,5,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,4,8,1,3,2,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,4,5,2,8,6,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[2,3,1,7,8,6,4,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[3,5,7,6,2,8,1,4] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[4,5,6,1,2,8,7,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[5,4,1,2,8,6,7,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[8,4,5,2,1,6,7,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[3,1,2,6,8,4,7,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,5,4,2,7,8,3,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[4,6,7,8,3,1,5,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[7,6,2,8,4,3,1,5] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[5,3,8,1,7,2,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,3,8,4,2,1,7,5] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,5,8,3,1,6,7,4] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[3,5,8,1,2,6,7,4] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[3,2,8,1,5,6,7,4] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[1,3,8,6,2,4,7,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[2,8,1,6,3,4,7,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[8,3,4,2,1,6,5,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,7,2,5,8,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,4,5,2,6,3,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[2,4,5,8,3,6,1,7] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[3,5,8,1,2,6,4,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[8,6,1,3,5,2,4,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[8,5,1,2,6,4,3,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[5,8,6,1,3,4,2,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[5,8,4,6,1,3,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,7,4,3,6,1,8,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,6,4,3,7,8,5,1] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [4,1,1,1,1] => 4

[7,4,1,8,3,2,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,2,1,7,8,4,5,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[7,6,3,1,5,4,8,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[2,4,6,5,1,7,8,3] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[1,4,7,5,6,8,2,3] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[5,6,1,7,4,2,8,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,7,4,8,1,2,6,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[6,3,5,7,8,1,4,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,6,5,7,1,8,4,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,4,7,8,2,1,3,5] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[6,7,3,8,4,1,2,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[2,7,8,3,4,6,1,5] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[7,5,8,4,1,3,2,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,7,5,8,3,1,2,6] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[3,6,7,4,8,1,2,5] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[2,8,4,3,1,5,7,6] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[4,8,1,2,3,5,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[7,6,8,1,2,4,3,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,6,8,5,1,3,2,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,5,2,7,6,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,7,6,4,1,2,5,3] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[6,7,1,3,5,2,8,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,7,2,3,6,8,1,4] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[8,5,3,2,7,6,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[3,4,6,7,5,8,1,2] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[3,8,5,1,6,2,7,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,5,1,3,6,8,7,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[5,4,6,1,3,7,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[6,3,5,7,1,4,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[7,3,4,6,8,1,5,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,7,8,4,1,5,6,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[6,7,2,5,1,8,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,6,1,2,5,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[1,4,5,8,2,3,7,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,5,2,4,6,8,3,7] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[3,6,1,5,8,2,4,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,6,5,1,4,8,3,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[5,2,6,1,4,8,3,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,1,8,4,7,3,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[8,2,1,5,7,3,4,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,5,4,8,1,3,7,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,4,1,3,8,6,7,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[8,4,3,7,1,2,6,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[1,7,3,5,8,2,6,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,8,4,2,6,7,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[3,1,6,8,7,2,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,2,1,6,8,3,4,5] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,4,1,2,7,8,3,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[1,8,3,4,7,2,5,6] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[3,5,8,1,2,7,4,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[3,6,8,1,2,4,7,5] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[4,1,3,8,7,2,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[1,3,7,4,8,2,6,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[1,4,6,8,2,3,7,5] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[3,5,8,1,7,2,4,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,6,8,1,7,3,4,5] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[6,1,5,8,2,3,7,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[1,8,3,2,7,5,6,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[3,1,7,2,8,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,6,7,3,8,1,5,4] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[6,2,3,8,7,1,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[5,1,7,8,4,2,6,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[5,1,8,7,4,2,6,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[4,7,2,8,3,6,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[5,1,7,4,8,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,1,8,7,5,3,6,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[4,8,2,7,3,6,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[6,8,2,4,3,7,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[6,7,2,4,3,8,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[6,8,2,7,3,5,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[3,6,8,2,4,5,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[3,6,7,2,4,5,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[8,6,1,7,2,5,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[8,7,6,1,2,3,5,4] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[5,4,3,1,6,2,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,3,4,7,1,6,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,3,4,1,8,5,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,2,1,8,7,3,4,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,2,7,1,8,3,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,7,5,1,2,6,4,3] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[8,4,3,2,7,1,6,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,1,6,2,3,8,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[4,8,1,3,2,7,5,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,8,1,4,7,5,2,6] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[6,1,4,8,5,2,3,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[8,7,4,6,2,1,5,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,2,6,5,3,1,7,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,7,6,5,2,3,1] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [2,2,1,1,1,1] => 2

[2,1,8,6,4,3,7,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[2,1,7,6,5,3,8,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[2,7,6,1,3,5,8,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[7,2,5,4,6,1,8,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,7,6,1,2,5,8,3] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[3,4,1,7,8,5,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[7,5,4,3,1,8,6,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[8,5,6,2,7,3,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,4,2,5,6,1,7,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[6,3,5,4,1,7,8,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[1,7,2,4,5,8,3,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[3,6,4,7,8,1,5,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[4,3,6,7,1,8,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,6,4,7,8,1,2,5] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[1,3,6,4,7,2,8,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[5,4,2,1,3,7,8,6] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[1,6,7,3,8,2,5,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[6,3,2,1,7,8,5,4] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[8,6,5,1,3,2,4,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[6,4,7,8,3,2,5,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[3,8,4,7,1,2,5,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[8,6,1,2,5,4,3,7] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[8,3,6,4,5,2,1,7] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[2,3,8,7,1,6,4,5] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[4,3,7,8,1,6,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,5,8,7,4,1,2,6] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[7,3,8,4,1,2,5,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[4,8,1,2,7,3,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[6,8,1,2,7,4,5,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[5,6,8,4,1,3,7,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[8,5,4,7,1,6,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,5,8,7,3,6,4,1] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [3,2,1,1,1] => 3

[2,4,8,7,5,6,1,3] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[3,7,4,8,5,6,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [4,1,1,1,1] => 4

[6,4,8,7,5,1,2,3] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[5,7,1,8,4,6,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,3,8,7,2,1,4,5] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,3,7,8,5,6,1,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[3,7,6,8,5,1,2,4] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[2,6,7,8,5,1,3,4] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[2,4,7,8,1,6,3,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[5,4,7,8,2,6,3,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[2,8,3,4,1,5,7,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[6,8,3,4,1,2,7,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,8,3,2,7,6,1,4] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[2,5,3,1,8,6,7,4] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,5,8,6,1,4,7,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[2,8,5,6,1,4,7,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[4,8,6,1,5,2,7,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,8,2,3,7,6,1,4] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[4,6,8,5,3,2,7,1] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,1,1,1] => 3

[2,6,4,8,5,1,7,3] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[3,4,8,6,5,2,7,1] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [3,2,1,1,1] => 3

[7,5,3,2,8,6,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[2,5,1,3,8,6,7,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[4,5,1,2,8,6,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[5,4,8,1,3,6,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[8,3,5,4,1,6,7,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[7,4,3,1,2,8,5,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,4,7,6,2,1,5,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,6,5,7,1,3,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,2,1,4,5,8,3,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[7,4,1,6,3,5,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[3,5,7,6,4,1,8,2] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[4,7,5,2,1,3,8,6] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[1,7,2,4,8,6,3,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[4,8,7,6,1,2,5,3] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[2,8,6,7,4,1,3,5] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[5,8,6,4,2,3,1,7] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[3,8,1,2,5,7,4,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[6,8,5,4,2,7,3,1] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,8,3,1,2,4,5,7] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[8,4,5,2,1,6,3,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,3,2,6,8,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,1,5,6,3,8,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,1,3,8,4,2,7,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[6,2,8,7,3,5,4,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[7,1,8,4,3,6,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[3,6,8,7,4,1,2,5] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[5,6,8,1,7,3,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,1,6,8,7,4,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[7,4,6,8,2,1,5,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[6,5,8,4,3,1,2,7] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[2,5,8,3,6,7,4,1] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,2,1,1] => 4

[8,5,1,3,7,4,6,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[3,8,2,7,1,5,6,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,8,2,3,6,4,1,7] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[6,8,2,3,4,7,5,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [4,2,1,1] => 4

[3,5,8,7,4,2,6,1] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [3,2,1,1,1] => 3

[7,5,1,8,4,2,6,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[3,6,8,5,2,7,4,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1] => 3

[2,1,7,8,4,6,5,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[3,5,7,8,4,6,1,2] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[7,8,2,4,3,1,5,6] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[7,6,3,8,1,5,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,2,7,1,3,5,8,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[6,1,8,2,3,5,4,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[7,2,4,1,6,3,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,4,3,1,7,5,2,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,3,8,5,2,6,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,3,8,7,1,6,5,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,7,1,8,5,2,6,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,3,4,2,8,7,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,2,4,3,6,8,1,7] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,8,6,5,4,1,2,7] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[4,7,5,6,3,8,2,1] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [3,2,1,1,1] => 3

[4,8,5,7,2,3,1,6] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,2,7,5,8,3,6,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[3,8,5,7,1,4,6,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[6,8,2,5,4,3,1,7] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[5,7,2,8,3,6,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,1,3,6,4,2,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[6,3,2,1,4,8,5,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[6,2,3,1,4,7,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[6,2,1,4,8,7,5,3] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[6,2,8,3,5,7,4,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 4

[7,1,8,3,5,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[7,1,3,2,4,8,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[7,2,1,3,4,5,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[8,4,6,5,3,2,1,7] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,1,6,4,3,2,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,3,7,1,4,6,5,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,8,3,6,4,7,5,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[6,3,8,7,5,2,1,4] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[9,1,8,7,6,5,4,3,2] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,1,1,1,1,1,1,1] => 2

[7,6,8,1,5,4,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,1,9,8,7,6,5,4,2] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,1,1,1,1,1,1,1] => 2

[10,1,9,8,7,6,5,4,3,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,1,8,5,4,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[6,5,8,1,7,4,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,5,8,7,4,1,3,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[3,2,9,8,7,6,5,4,1] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,1,1,1,1,1,1,1] => 2

[3,1,10,9,8,7,6,5,4,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,1,1,1,1,1,1,1,1] => 2

[1,6,4,8,3,2,5,7] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,8,3,5,6,2,4,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[6,1,4,8,2,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[8,7,2,5,6,1,4,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[1,8,2,5,4,7,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[5,7,4,1,2,3,8,6] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[1,7,4,2,5,3,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[6,7,4,2,1,3,8,5] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[7,4,3,6,2,1,5,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[8,3,7,4,5,6,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[2,7,4,3,1,5,6,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[6,8,4,2,3,1,5,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,1,3,2,8,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,2,8,6,1,3,4,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[2,8,3,1,4,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[7,4,8,2,3,1,5,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[4,2,7,3,1,5,6,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,3,7,2,1,4,5,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,5,7,4,1,8,2,3] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,6,4,5,1,8,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,4,1,3,7,2,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,4,3,1,8,2,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,8,1,3,5,7,2,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[7,8,4,1,3,6,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[6,5,8,1,3,7,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,3,6,1,8,2,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,3,1,7,2,4,5,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[2,8,1,4,7,3,5,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,1,8,5,4,7,6,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[4,1,5,8,3,7,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[4,1,5,3,8,7,6,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[4,5,1,8,2,7,6,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,8,5,3,1,7,6,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,5,2,8,1,7,6,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[4,5,2,1,8,7,6,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[4,6,2,8,7,5,1,3] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[5,6,7,2,1,8,3,4] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,6,7,2,1,3,8,4] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[5,6,1,7,8,2,4,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,1,8,6,7,5,4,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 3

[4,1,6,8,7,5,3,2] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [3,1,1,1,1,1] => 3

[5,1,6,7,4,8,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[5,6,1,7,8,4,2,3] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,6,8,1,7,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,8,6,1,7,5,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,6,7,1,8,3,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[5,6,7,1,3,8,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[5,6,7,1,3,2,8,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[5,6,7,3,1,2,8,4] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[7,4,6,2,3,5,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[1,4,8,6,3,2,5,7] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[7,6,3,1,5,8,4,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[7,4,5,6,1,8,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,1,5,8,6,3,2,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[3,2,7,6,1,8,5,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,7,5,1,6,8,2,3] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[8,6,5,1,2,7,4,3] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[3,2,5,1,4,8,7,6] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[8,5,4,1,3,2,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[1,4,2,3,6,8,7,5] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [5,1,1,1] => 5

[5,4,8,3,7,1,6,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,7,1,8,2,5,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[8,4,6,1,3,5,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,2,5,4,7,8,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[5,2,4,3,7,8,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[8,1,6,7,2,5,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,1,4,7,2,8,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[7,8,4,6,3,2,1,5] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[1,8,6,5,3,7,2,4] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[8,2,5,3,6,7,1,4] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,7,5,3,1,8,6,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,5,2,6,1,8,7,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[1,6,3,5,7,2,8,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,5,4,6,7,8,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[8,4,6,5,7,2,1,3] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,4,5,2,6,8,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,5,1,4,3,2,8,7] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,5,4,2,3,8,1,6] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,8,1,3,5,6,2,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[1,7,8,3,5,6,2,4] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[3,1,7,8,5,2,6,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[1,3,7,5,8,2,6,4] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[3,1,7,5,8,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,5,7,1,8,4,6,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,5,7,8,1,4,6,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[5,3,7,1,8,4,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,6,2,1,4,5,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[4,6,2,5,1,3,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,4,2,5,1,3,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,6,1,7,3,2,4,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[2,5,8,1,7,3,4,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[6,8,2,7,3,1,4,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,2,8,1,7,3,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,2,3,8,1,5,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[2,1,5,8,4,3,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[5,8,3,2,7,1,4,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,1,3,8,2,5,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[2,6,8,3,7,1,4,5] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,5,8,1,6,2,3,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[5,4,8,1,6,2,3,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,4,3,8,1,5,6,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[3,1,8,4,2,5,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,8,4,2,1,5,6,7] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[2,3,8,4,1,5,6,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[3,4,2,8,1,5,6,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[2,1,4,8,5,3,6,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,2,8,4,1,5,6,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[2,8,4,3,1,5,6,7] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[4,1,7,5,6,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,7,4,3,8,1,6,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,8,4,2,6,7,5,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[6,1,7,5,2,8,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[5,6,4,3,2,8,1,7] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,6,7,5,3,8,4,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [3,2,1,1,1] => 3

[2,1,6,7,5,3,8,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[3,8,4,2,1,6,7,5] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,7,4,3,8,2,1,6] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[6,7,4,8,1,2,5,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,7,5,8,1,2,4,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,7,4,8,3,1,2,5] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[3,4,8,1,2,5,7,6] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[6,1,3,4,8,2,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[6,2,3,4,8,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[3,4,8,2,1,5,7,6] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[6,7,5,8,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[3,4,8,1,5,7,6,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[2,5,7,6,1,4,8,3] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[6,7,4,8,1,3,5,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,6,7,5,1,3,8,4] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[6,3,1,4,8,2,5,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,7,4,8,1,3,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,7,5,8,4,1,3,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[6,7,4,8,2,1,3,5] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[6,7,4,8,1,2,3,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[1,5,6,3,4,8,2,7] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[1,4,3,6,5,8,2,7] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[5,1,7,3,4,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,7,8,2,3,5,4,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[5,8,6,2,3,7,4,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[2,8,3,4,7,5,6,1] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [5,1,1,1] => 5

[8,7,2,3,6,5,4,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 3

[3,8,1,7,5,2,6,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,8,1,6,7,2,5,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,1,3,8,4,6,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,2,1,7,4,3,6,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,4,5,1,7,2,6,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,5,6,8,7,4,2,3] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [4,2,1,1] => 4

[8,4,5,7,6,3,2,1] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [3,1,1,1,1,1] => 3

[1,4,8,5,7,6,2,3] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[2,4,8,5,7,3,6,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[5,2,7,8,6,3,4,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[4,2,8,6,7,3,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[3,2,8,7,5,4,6,1] => [[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 3

[6,7,1,8,5,4,2,3] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[7,8,3,2,6,1,4,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,8,4,5,1,6,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,2,4,8,1,5,3,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,4,8,5,1,6,7,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[1,4,8,2,6,3,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[5,3,8,1,4,6,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[7,4,2,8,1,5,3,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,1,7,5,8,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,4,8,6,5,3,7] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[3,2,7,8,5,1,4,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,3,7,8,5,1,4,6] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[3,6,2,8,5,1,4,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[1,4,2,8,7,5,3,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[7,2,1,8,5,3,4,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,1,6,5,8,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 3

[6,5,7,1,8,4,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,7,6,1,8,4,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,7,3,8,5,4,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[7,1,2,8,4,5,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[7,6,1,5,8,4,3,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[7,1,6,5,3,2,4,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,8,7,5,3,2,4,6] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[1,8,7,4,2,5,3,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[8,7,4,2,5,3,6,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[2,6,5,4,7,1,3,8] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[5,3,7,1,6,4,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,3,6,4,2,7,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[1,5,3,8,7,4,2,6] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[5,3,6,1,8,7,4,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,1,5,3,8,7,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[2,3,1,8,7,5,4,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,3,8,7,4,2,1,6] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[7,4,2,1,8,6,3,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[6,3,8,5,2,1,7,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,6,4,7,5,1,3] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[5,1,8,6,3,7,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[6,3,7,4,1,8,5,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,2,6,3,7,4,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[6,1,8,7,4,2,5,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[8,6,3,7,4,2,5,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[8,6,3,2,4,7,5,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1] => 3

[7,5,1,8,6,3,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[6,1,8,7,5,3,2,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[4,3,2,8,7,6,1,5] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[2,4,5,1,3,8,7,6] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[7,5,8,6,3,2,4,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[1,7,5,8,6,3,2,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[8,6,3,1,7,4,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,4,2,5,3,1,6] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[5,3,1,8,7,4,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[4,1,8,7,5,3,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[2,8,6,4,1,3,7,5] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[4,1,8,6,3,2,7,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[7,4,2,8,6,3,1,5] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[6,3,1,8,5,2,7,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,5,2,6,3,1,7,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,4,8,5,2,6,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[1,8,5,2,7,4,6,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[7,4,6,3,1,8,5,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,6,3,1,5,7,4,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[4,1,7,5,8,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[2,3,1,7,5,8,6,4] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[7,4,8,5,2,1,6,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,2,1,7,4,6,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[1,7,4,6,3,8,5,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[6,2,8,4,1,7,3,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,4,8,1,6,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,3,4,8,1,7,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,5,4,8,1,2,7,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[4,5,3,8,1,2,7,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,4,3,8,1,7,2,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,3,8,1,6,2,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,3,8,7,1,2,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,6,3,8,7,1,2,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[4,6,3,8,1,7,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,6,8,4,1,7,3,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[1,8,7,4,2,6,3,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[5,7,3,8,6,1,2,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,7,5,8,6,1,2,4] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[2,7,8,5,6,1,3,4] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[1,8,7,5,6,2,3,4] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[2,6,8,5,7,1,3,4] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[5,3,6,8,7,1,2,4] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[6,3,5,8,7,1,2,4] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[1,8,3,2,7,6,4,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[5,2,8,7,6,1,3,4] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[6,2,8,7,5,1,3,4] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[3,4,7,8,1,6,2,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[1,8,5,7,6,2,3,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[2,5,8,7,6,1,3,4] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[3,6,7,8,5,1,2,4] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[2,6,8,7,5,1,3,4] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[1,8,6,7,5,2,3,4] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[2,7,8,6,5,1,3,4] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[6,3,8,7,5,1,2,4] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[2,8,7,4,1,3,5,6] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[5,4,8,7,1,3,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,8,7,1,4,5,3,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,1,8,7,3,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,1,6,3,2,8,7,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[4,6,1,8,7,3,2,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,3,5,2,8,7,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,4,2,8,6,1,5,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,7,6,8,1,5,2,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,6,1,7,3,5,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,7,5,1,6,8,2,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,6,5,8,1,4,7,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[8,1,5,6,4,7,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[3,6,7,4,1,8,2,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[1,7,4,6,8,2,5,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[7,5,8,2,6,3,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,3,2,6,1,8,5,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,7,2,3,1,8,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,8,1,6,7,4,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,7,4,3,6,8,1,5] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[2,8,4,6,1,5,3,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[8,4,1,6,3,2,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,7,3,8,5,2,1,6] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[7,4,1,6,3,2,8,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,1,4,8,5,3,2,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[8,1,3,6,7,5,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,1,1,1,1] => 4

[8,6,2,4,1,3,7,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[4,7,5,1,8,6,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,4,5,7,6,1,3,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[7,5,8,4,2,3,6,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[3,8,4,6,1,7,5,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,7,4,6,5,2,8,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[4,2,7,6,1,5,8,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[3,5,1,6,8,4,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[6,1,5,7,3,8,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[8,3,2,5,1,6,7,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,6,8,3,7,4,1,5] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[8,1,5,6,4,7,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[2,5,8,1,6,4,7,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[7,4,1,8,3,2,6,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,3,7,4,2,1,6,5] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,2,6,8,3,1,7,4] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[3,6,5,8,4,1,7,2] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[7,3,6,1,8,4,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,2,7,3,4,6,5,1] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,1,1,1,1] => 4

[7,3,8,2,5,6,4,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[6,1,3,2,4,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[8,7,4,2,3,6,1,5] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,7,1,5,4,2,3,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,7,1,5,2,8,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[8,7,2,5,4,1,3,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,7,2,5,3,1,4,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,2,8,7,1,4,3,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,1,6,2,7,5,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,1,6,2,8,5,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[6,3,4,1,7,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,2,4,3,5,1,8,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,1,7,2,3,8,6,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[8,2,3,5,1,7,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,6,3,1,4,8,2,5] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,1,8,2,7,5,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,2,8,1,6,5,3,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,4,8,2,1,5,3,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,2,4,1,6,3,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,2,7,5,1,6,4,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,1,7,3,2,8,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[6,2,1,5,3,8,4,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,3,1,6,2,8,4,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,1,5,2,8,4,3,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,4,3,8,1,5,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,8,1,5,3,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,3,2,8,4,1,5,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,3,4,2,8,5,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,1,6,3,4,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,8,6,1,5,2,7,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,8,5,6,1,7,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,7,1,3,8,5,2,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,6,7,1,5,2,8,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[7,1,3,8,4,2,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[5,6,2,7,1,3,8,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,6,2,8,1,3,7,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[7,4,2,1,5,8,3,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[7,4,1,5,8,3,2,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[7,4,8,3,1,5,2,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,1,8,4,5,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,6,4,5,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,5,2,7,1,6,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,5,7,3,1,6,8,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[4,6,7,2,1,5,8,3] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[4,6,7,1,3,8,5,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[4,6,7,1,5,8,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[6,1,3,7,4,8,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[3,2,1,7,4,8,5,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,1,5,2,7,6,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,5,1,3,7,6,4,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[2,5,1,4,3,8,6,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,2,7,1,4,8,5,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[7,2,5,3,1,8,6,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,5,1,4,2,8,6,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,5,4,1,3,8,6,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[5,3,2,1,7,6,4,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[6,3,2,8,1,5,7,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,4,3,2,8,1,6,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,6,4,8,1,5,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,7,5,3,8,1,4,6] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[1,8,5,3,6,4,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[8,6,2,3,7,5,4,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 3

[8,6,3,2,7,5,4,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[8,3,2,7,1,6,4,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,6,1,5,4,3,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,5,7,4,3,6,2,1] => [[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [2,2,1,1,1,1] => 2

[8,5,7,2,4,6,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[8,4,6,7,1,3,2,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,8,5,6,1,4,3,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[7,2,6,8,4,1,5,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[7,6,4,8,3,2,5,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[6,5,8,1,4,2,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,5,8,4,1,3,7,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,4,8,3,2,1,7,6] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,3,7,2,1,6,5,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[2,5,8,1,4,3,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,6,8,2,1,5,7,4] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[5,7,4,8,1,3,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,7,1,4,8,2,6,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,7,4,1,8,3,6,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,5,1,8,4,2,7,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,1,5,7,3,6,2,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[4,2,5,8,3,1,7,6] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[6,1,2,7,8,3,5,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[5,3,1,8,6,4,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[4,8,1,7,6,2,3,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,8,1,4,7,5,2,3] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[7,3,8,1,6,4,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,7,8,1,5,3,2,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[5,8,7,1,3,6,4,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,8,7,1,6,3,5,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,8,7,6,1,3,5,2] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[6,8,1,7,5,2,4,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,3,8,6,5,1,2,4] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[5,7,8,4,3,1,2,6] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[5,8,6,4,3,2,1,7] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,2,6,3,4,7,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,4,7,5,8,6,1,2] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4

[2,4,7,1,5,3,8,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[4,7,6,5,2,1,8,3] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,3,6,2,4,1,7,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,3,6,1,4,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,7,4,2,6,3,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[2,7,1,6,8,3,5,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,3,4,5,6,7,8,10,9,1] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [8,1,1] => 8

[9,2,1,8,7,6,5,4,3] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [2,1,1,1,1,1,1,1] => 2

[4,2,9,8,7,6,5,3,1] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,1,1,1,1,1,1,1] => 2

[5,2,8,7,6,4,3,1] => [[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,1,1,1,1,1,1] => 2

[8,2,7,6,1,5,4,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,1,7,6,5,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[9,3,1,8,7,6,5,4,2] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [2,1,1,1,1,1,1,1] => 2

[10,2,1,9,8,7,6,5,4,3] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [2,1,1,1,1,1,1,1,1] => 2

[6,5,7,3,8,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[3,2,7,4,5,8,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[6,8,1,5,2,4,3,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[8,3,4,6,1,5,2,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,3,4,7,5,8,1,6] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[6,3,4,7,8,2,5,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[8,3,6,4,1,7,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,3,7,4,8,6,2,5] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[3,7,8,5,4,1,2,6] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[5,4,3,1,7,8,2,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,1,7,5,8,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[7,5,6,4,1,3,8,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[3,4,1,7,5,8,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[8,5,7,4,3,1,6,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,2,4,1,3,7,6,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[7,8,3,6,2,1,4,5] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[8,2,3,1,5,7,6,4] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,8,4,1,2,7,6,5] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[5,4,7,2,3,6,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[6,3,2,1,8,4,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[2,3,7,4,1,8,5,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,7,8,5,1,3,6,4] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[8,2,5,6,7,1,3,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[2,8,5,4,7,6,1,3] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[6,7,1,5,8,2,4,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,8,7,6,2,3,5,1] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [3,2,1,1,1] => 3

[7,8,1,5,3,2,6,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,3,4,6,1,5,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[8,3,4,5,7,1,6,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[4,2,6,8,3,1,5,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[3,7,6,2,4,5,1,8] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[2,3,6,5,8,1,4,7] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[2,3,5,8,6,1,4,7] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[4,2,3,8,6,1,5,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[1,2,3,7,4,6,8,5] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [6,1,1] => 6

[2,1,5,3,8,7,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[5,8,3,2,4,1,6,7] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,2,7,1,8,3,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,1,8,2,7,3,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,2,7,1,4,8,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[1,2,3,7,6,8,4,5] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1] => 5

[4,2,8,3,7,5,6,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[5,3,4,8,7,2,6,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[4,3,5,8,7,2,6,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[4,6,3,8,5,7,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[7,5,3,8,6,2,4,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[2,6,8,3,7,4,5,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[1,8,4,3,7,5,6,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[2,5,8,3,7,4,6,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[7,4,3,8,6,2,5,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[3,5,4,8,7,2,6,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[4,5,3,8,6,7,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[3,6,7,8,4,5,2,1] => [[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [4,2,1,1] => 4

[1,8,5,6,4,7,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,2,1,1,1] => 3

[2,5,8,6,4,7,3,1] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [3,2,1,1,1] => 3

[7,4,6,5,8,3,2,1] => [[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,1,1,1,1,1] => 3

[6,3,7,8,4,5,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[4,3,7,8,5,6,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[5,2,8,6,4,7,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[4,2,8,6,5,7,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[3,2,8,6,7,4,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[1,8,2,7,4,5,6,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[6,2,8,4,5,7,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[5,2,8,4,6,7,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[4,2,8,5,6,7,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[4,3,6,8,5,7,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[3,4,6,8,7,2,5,1] => [[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [4,2,1,1] => 4

[7,3,5,8,6,2,4,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[1,8,3,5,7,4,6,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[2,7,8,4,5,6,3,1] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1] => 4

[3,7,5,8,4,6,2,1] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [3,2,1,1,1] => 3

[5,7,4,6,8,3,2,1] => [[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [3,2,1,1,1] => 3

[3,6,5,8,4,7,2,1] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [3,2,1,1,1] => 3

[2,6,8,4,5,7,3,1] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1] => 4

[4,2,7,1,3,8,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,2,5,1,3,8,6,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,3,6,1,7,2,4,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,7,1,2,5,8,6,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[3,7,4,1,2,8,5,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[7,6,3,8,1,2,5,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,4,2,3,8,1,6,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,6,1,2,7,4,5,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[8,5,7,1,2,4,6,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,5,7,1,3,4,6,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[8,6,2,7,1,3,5,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[3,8,5,6,1,2,4,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[3,7,5,8,1,2,4,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[7,6,4,8,1,3,5,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,5,8,1,2,4,7,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[3,6,8,1,2,5,7,4] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[4,6,3,8,1,2,5,7] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,6,3,7,1,2,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[4,1,7,8,2,3,6,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[5,1,2,8,6,3,4,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[5,3,8,1,6,2,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,1,8,5,2,3,4,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,1,7,5,2,3,4,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,8,1,3,7,4,5,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[7,2,8,1,6,3,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,8,2,7,1,4,5,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,8,7,1,3,5,6,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[5,8,7,1,2,4,6,3] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[5,8,7,1,3,4,6,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[5,8,6,4,1,2,3,7] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[7,8,4,1,2,5,3,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[7,8,1,2,6,5,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[1,2,8,7,5,4,3,6] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [4,1,1,1,1] => 4

[5,1,7,3,6,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[6,2,1,5,7,4,3,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[3,4,8,7,5,6,1,2] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[5,7,4,1,2,6,3,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[4,8,1,2,6,7,3,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,1,2,4,6,8,7,5] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,1,1,1] => 5

[3,8,6,5,2,7,1,4] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[3,7,8,5,2,1,6,4] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[2,8,7,5,1,6,4,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,8,6,7,5,1,4,3] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[5,1,3,4,6,7,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[1,3,4,8,7,5,2,6] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [4,2,1,1] => 4

[8,2,4,1,7,3,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,6,1,4,2,8,7,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[1,6,8,4,3,7,2,5] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[1,8,7,4,3,6,2,5] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[4,8,2,3,1,5,7,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[4,8,6,2,1,3,7,5] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[1,7,8,4,2,3,6,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[4,7,1,3,8,2,6,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[1,7,4,3,6,2,8,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[3,8,6,4,5,2,1,7] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[3,8,4,6,5,2,1,7] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[2,4,3,7,5,8,1,6] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[1,4,7,3,6,2,8,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[8,1,4,3,6,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[2,8,5,7,3,4,1,6] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[5,8,2,6,4,3,1,7] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[4,2,3,5,8,7,1,6] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[6,1,8,3,4,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,8,4,5,6,2,1,7] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4

[2,4,3,5,7,8,1,6] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[3,8,6,5,4,2,1,7] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [2,2,1,1,1,1] => 2

[6,3,1,4,2,8,7,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,3,8,1,2,6,4,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,1,4,5,3,2,6,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[1,8,4,2,6,5,3,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[5,1,4,8,6,3,2,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[4,3,8,1,5,7,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,3,1,2,5,7,4,8] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[7,1,4,2,6,5,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[8,7,2,4,5,1,6,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,1,5,4,8,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[2,1,8,7,5,3,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[5,7,1,4,8,6,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[5,3,7,4,8,6,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[6,5,3,7,4,8,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[7,5,8,4,1,6,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,7,8,4,5,1,6,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[5,6,3,8,1,4,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[3,7,8,4,1,6,5,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,5,1,7,2,6,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,6,3,1,5,2,8,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,5,1,8,2,6,3,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,7,3,1,5,4,2,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[5,4,2,6,1,3,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[3,2,6,5,1,4,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[2,5,8,1,7,4,3,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[6,8,2,7,4,3,1,5] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[6,8,2,3,7,5,1,4] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[4,2,7,3,1,8,5,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,1,5,8,4,3,7,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[2,4,8,3,1,7,5,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,8,3,2,1,7,6,5] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,4,8,2,1,6,5,7] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,8,3,7,2,1,5,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[3,5,8,1,7,2,6,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[7,6,4,8,1,5,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,7,1,8,2,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,7,6,3,8,1,4,5] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[5,4,8,7,2,6,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[2,4,3,8,7,1,5,6] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[3,4,1,8,6,2,7,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,8,5,4,2,1,7,6] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,6,5,2,7,1,3] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[3,2,8,7,5,4,1,6] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[2,8,6,5,4,3,1,7] => [[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [2,2,1,1,1,1] => 2

[7,3,6,5,2,8,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[8,7,5,3,1,4,2,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,1,5,3,8,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,1,8,7,4,3,5,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[3,8,7,4,2,1,5,6] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[8,6,7,5,1,3,2,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,2,6,1,7,3,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,2,8,1,4,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[2,7,8,4,5,1,3,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[3,4,8,1,5,2,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[4,8,1,2,5,3,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[8,1,2,4,3,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[4,8,7,6,3,5,2,1] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [2,2,1,1,1,1] => 2

[3,8,7,6,5,2,4,1] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [2,2,1,1,1,1] => 2

[5,8,4,7,6,3,2,1] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,2,1,1,1,1] => 2

[4,8,7,6,3,2,5,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [2,2,1,1,1,1] => 2

[3,8,7,6,5,2,1,4] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,8,2,5,1,4,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,5,2,4,7,6,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[3,5,4,7,2,6,1,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[3,5,4,7,6,1,2,8] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[3,5,4,7,6,1,8,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[3,5,7,4,6,1,8,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[3,5,7,4,6,1,2,8] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[3,5,7,4,6,2,1,8] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[3,5,2,7,6,4,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[5,3,7,6,2,4,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,3,7,6,1,2,8,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,3,7,6,1,4,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,7,6,4,1,2,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[3,5,2,7,6,1,4,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,3,7,6,4,1,8,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[3,7,5,4,1,8,2,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[3,7,5,4,1,8,6,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,7,5,1,4,8,6,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,7,5,1,4,8,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,5,7,1,2,6,8,4] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[3,5,7,2,1,6,8,4] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[3,5,2,7,1,6,4,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,5,7,2,1,6,4,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,3,7,1,6,2,4,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,5,7,1,4,6,8,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[3,5,7,1,4,6,2,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,5,7,1,4,2,6,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,5,7,2,1,4,6,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[3,5,2,7,1,4,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,2,5,7,4,1,6,8] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[3,5,2,7,4,1,6,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,5,7,4,2,1,6,8] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1] => 3

[3,5,7,4,1,2,6,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[3,5,4,7,1,6,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[3,5,4,7,1,2,6,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[3,5,4,7,2,1,6,8] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[3,5,4,7,1,2,8,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[5,7,6,3,1,8,4,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,5,7,4,1,2,8,6] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[3,5,7,4,2,1,8,6] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[3,2,5,7,4,1,8,6] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[3,5,2,7,1,4,8,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,5,7,2,1,4,8,6] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[3,5,7,1,4,2,8,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,7,5,2,1,8,6,4] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,7,2,5,1,8,6,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,2,7,5,1,8,6,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,2,7,5,1,8,4,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,7,2,5,1,8,4,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,1,7,5,8,4,6,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[1,3,4,5,6,7,9,2,8] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [7,2] => 7

[2,3,4,5,6,7,1,9,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[5,8,3,4,1,7,6,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,8,6,4,1,7,5,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,3,5,6,8,1,7,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,7,6,4,1,8,5,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,7,4,1,8,6,5,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,8,4,1,7,6,5,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,2,7,6,1,5,4,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,2,8,7,6,1,5,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[4,2,5,8,1,6,7,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,2,5,8,1,7,3,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,8,2,4,1,6,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,4,2,6,5,1,3,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[3,2,6,8,1,5,4,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,2,8,6,7,1,5,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,6,8,7,1,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,6,7,1,5,4,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,7,3,2,5,6,1,4] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,2,8,1,5,3,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,4,2,7,5,1,3,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,4,2,8,5,1,3,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,2,4,1,8,3,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,6,5,7,1,8,3,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,5,1,8,7,4,3,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[8,1,4,6,3,5,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,3,5,4,1,6,2,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,3,4,1,5,2,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,4,7,6,8,2,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[4,1,8,2,3,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[1,6,8,3,4,5,7,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [5,2,1] => 5

[7,4,1,8,3,5,6,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,7,4,2,1,3,6,5] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[6,8,2,3,1,7,5,4] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[7,4,3,2,6,8,5,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[2,7,4,3,8,5,6,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[8,3,7,2,1,5,6,4] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,4,7,3,2,6,1,5] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,3,1,6,7,4,2,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[7,1,6,3,5,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[2,8,5,6,7,1,4,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[1,5,2,7,8,6,4,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [4,1,1,1,1] => 4

[2,6,8,5,1,4,7,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[3,5,1,6,8,7,2,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[5,7,6,2,1,3,8,4] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[2,5,8,7,4,1,6,3] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[4,1,7,5,2,6,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[7,6,2,4,5,1,8,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,3,4,2,5,8,6,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[8,7,4,2,5,1,6,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[4,2,1,5,6,7,8,3] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[3,4,6,5,1,7,8,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[7,3,5,2,4,6,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,3,7,2,4,6,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[3,7,5,2,4,6,1,8] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[5,7,3,2,1,4,6,8] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[5,7,3,2,4,1,6,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[3,7,2,5,4,1,6,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,1,3,2,4,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[5,1,3,2,7,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[7,1,3,2,5,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[7,1,3,5,2,4,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[5,1,3,7,2,4,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,2,7,5,1,4,6,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[3,7,5,1,2,4,6,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[5,7,3,1,2,4,6,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[1,5,3,7,2,4,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[5,3,2,7,4,1,6,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,3,2,1,4,7,6,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[5,3,2,1,7,4,6,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[3,2,5,1,4,7,6,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,3,1,5,2,4,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[1,3,7,5,2,4,6,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[7,5,1,3,2,4,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[5,7,1,3,2,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,7,1,5,2,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,7,1,2,5,4,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[3,2,1,7,5,4,6,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,1,2,7,5,4,6,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[3,1,7,2,5,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,1,7,5,2,4,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,1,5,3,2,4,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[1,7,5,3,2,4,6,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,8,7,4,2,6,5,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[2,8,5,1,7,6,4,3] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[1,9,8,7,6,3,2,5,4] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [3,1,1,1,1,1,1] => 3

[2,8,1,4,7,6,5,3] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[1,8,7,4,3,2,6,5] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,8,5,4,2,7,6,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[9,2,1,10,8,7,6,5,4,3] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [2,1,1,1,1,1,1,1,1] => 2

[7,5,3,4,2,8,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,5,6,3,7,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[8,5,6,2,7,4,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[8,7,6,3,4,1,5,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[3,5,1,4,8,2,7,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[1,7,5,4,8,6,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [3,1,1,1,1,1] => 3

[2,5,1,4,8,7,3,6] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[1,6,4,3,8,5,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[7,6,1,4,5,3,8,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[1,6,4,2,8,5,3,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[7,6,5,8,2,4,3,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,6,5,8,3,1,4,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,6,4,3,8,5,7,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[7,2,3,1,5,8,6,4] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[7,1,5,6,3,8,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[7,2,3,5,4,8,6,1] => [[[.,.],[.,[[.,.],[[.,.],.]]]],.] => [1,4,6,7,5,3,2,8] => [4,1,1,1,1] => 4

[1,5,6,4,8,3,7,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[7,6,1,3,4,5,8,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[7,1,3,2,4,8,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[7,6,5,8,1,3,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[3,4,6,8,7,2,1,5] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [4,2,1,1] => 4

[3,5,6,8,2,1,7,4] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[3,5,6,8,1,7,2,4] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[3,5,7,1,8,4,2,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,3,6,1,2,7,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,1,3,4,2,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[5,3,1,4,2,6,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[4,2,6,1,3,7,5,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,6,2,7,1,3,5,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,1,4,2,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[5,1,4,3,2,6,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,2,4,5,1,8,3,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,1,4,8,6,3,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[2,6,8,1,4,5,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[5,8,1,4,3,6,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,4,5,3,8,1,7,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,5,7,2,1,6,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[3,4,6,2,5,8,7,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[4,2,8,3,5,7,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[1,3,7,2,6,5,8,4] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[1,3,6,4,2,5,8,7] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,6,3,7,8,2,4,5] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[3,2,6,7,8,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[5,1,8,3,6,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[3,8,5,6,1,7,2,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,4,8,1,7,6,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,7,6,8,5,1,3,2] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[6,4,8,3,1,7,5,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,6,5,8,7,1,4,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[5,6,8,3,1,7,4,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[5,3,8,1,7,2,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,5,3,8,2,7,4,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,4,8,1,3,7,5,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[7,6,3,1,4,2,5,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,8,4,2,5,3,1,6] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,2,5,3,1,7,8,6] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,2,8,7,6,3,1,5] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[4,2,7,6,3,1,5,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[6,3,1,7,5,2,4,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,3,1,8,7,5,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,6,3,1,7,5,2,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[4,2,7,6,3,1,8,5] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,3,1,8,4,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,6,4,2,1,8,3,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[1,8,2,7,6,4,3,5] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[8,3,5,7,6,4,2,1] => [[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [3,1,1,1,1,1] => 3

[8,4,2,5,7,6,3,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[7,5,2,4,8,6,3,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[8,7,5,2,4,6,3,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[5,2,8,6,3,7,4,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[8,4,7,5,2,6,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[8,3,6,4,7,5,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[1,8,2,7,5,3,6,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[7,5,2,1,8,3,6,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,5,2,6,3,1,8,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[5,2,7,4,1,8,6,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,2,8,7,4,1,6,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,4,1,5,2,6,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,4,1,5,2,8,6,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,6,3,1,4,2,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,5,2,8,6,3,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,7,5,2,6,3,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[7,5,2,1,3,6,4,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,7,5,2,1,3,6,4] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[7,5,2,1,3,8,6,4] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[6,4,8,7,5,2,1,3] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[6,4,7,5,2,1,3,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[6,3,1,4,8,7,5,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[8,6,3,1,4,7,5,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[8,5,7,6,3,1,4,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[1,8,2,5,7,6,4,3] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [4,1,1,1,1] => 4

[1,8,2,6,4,7,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[7,5,2,1,6,4,8,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[6,3,8,7,4,1,5,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,7,4,1,5,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,6,3,1,7,5,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,7,5,2,1,8,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,6,3,5,2,7,4,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,3,5,2,8,7,4,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[6,3,5,2,7,4,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,7,4,2,6,3,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,2,6,3,5,7,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[2,4,5,8,1,6,7,3] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[6,1,3,7,4,2,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,2,6,8,1,5,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[8,2,6,1,5,4,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,6,2,7,1,5,4,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,8,3,1,5,4,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,3,7,2,8,1,5,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,5,2,8,6,1,4,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,7,3,8,1,5,6,4] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[4,5,6,8,3,1,7,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[8,4,6,5,3,1,7,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,8,1,2,4,3,6,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[6,1,3,4,2,8,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,2,4,1,3,7,8,6] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,7,1,3,6,5,4,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[8,1,5,4,7,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,7,6,3,5,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[3,6,8,5,7,4,1,2] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[4,7,6,8,5,3,1,2] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[3,8,7,5,6,4,2,1] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [3,1,1,1,1,1] => 3

[2,8,7,6,4,5,3,1] => [[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [3,1,1,1,1,1] => 3

[1,8,7,6,5,3,4,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [3,1,1,1,1,1] => 3

[2,4,7,8,1,6,5,3] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[4,2,6,8,7,1,5,3] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[5,1,8,4,2,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[2,7,3,8,1,6,5,4] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,6,8,4,1,7,5,3] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,6,7,1,2,8,5,3] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[3,6,1,8,2,7,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[6,3,7,1,2,8,5,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[1,7,8,5,4,3,2,6] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [3,2,1,1,1] => 3

[1,2,6,7,8,4,3,5] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [5,2,1] => 5

[4,7,1,3,6,8,2,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,7,6,4,8,1,2,5] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[8,7,2,4,6,5,3,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[1,7,8,2,6,4,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[8,7,3,2,1,5,6,4] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[3,7,8,2,1,6,5,4] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[8,7,6,1,4,5,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[4,8,1,2,3,7,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[3,5,8,4,7,2,6,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[1,8,5,4,6,2,3,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[3,8,5,4,6,1,2,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,8,5,4,6,1,3,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,5,8,4,7,3,6,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[3,6,4,2,7,8,5,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[4,5,8,1,7,6,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,5,8,4,7,1,6,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[1,5,8,4,7,3,6,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[3,6,4,8,7,5,2,1] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [3,1,1,1,1,1] => 3

[1,6,4,2,7,8,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[2,6,4,1,7,8,3,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[7,2,3,4,8,6,5,1] => [[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [4,1,1,1,1] => 4

[7,2,3,1,8,6,4,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,2,3,4,1,6,8,5] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[1,2,4,3,8,5,7,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[7,3,8,6,1,4,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,3,1,5,6,8,4] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[7,2,3,8,1,6,5,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,2,3,8,5,6,4,1] => [[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,1,1,1,1] => 4

[2,6,4,8,7,1,5,3] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[3,5,8,1,6,7,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[7,6,1,3,5,8,2,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[7,1,3,8,2,6,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[7,6,1,8,5,4,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[4,1,6,5,8,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,6,5,8,4,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[3,2,6,5,8,4,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[4,3,7,1,6,5,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,2,6,4,8,3,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[5,1,6,4,8,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[5,1,6,4,8,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,2,6,4,8,1,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,3,7,5,8,1,6,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,3,7,5,8,2,6,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[5,3,7,4,8,2,6,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[5,3,7,4,8,1,6,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,4,8,1,6,2,7,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,7,2,6,1,8,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,3,7,1,5,2,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,3,7,1,6,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,4,8,2,6,3,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,4,8,1,6,3,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,1,7,5,2,3,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,8,3,2,1,4,7,5] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[7,2,4,1,6,5,8,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,5,8,4,3,1,6,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,8,2,4,1,3,7,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[4,2,7,3,8,5,6,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,3,4,7,6,2,5,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[6,8,3,5,1,4,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[8,1,3,4,2,6,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,1,2,4,5,3,7,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[10,1,3,2,5,4,7,6,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[6,5,3,8,4,2,7,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[7,4,5,1,6,2,8,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,7,3,5,6,2,8,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[6,7,8,4,1,3,5,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[3,1,6,8,4,7,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[8,3,6,1,5,7,4,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[2,5,4,7,8,1,6,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[2,4,6,7,8,1,5,3] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[2,4,6,8,1,7,5,3] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[3,2,7,6,1,8,4,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,2,6,8,1,7,4,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,3,6,2,1,8,5,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,5,3,2,1,7,6] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,3,4,2,1,7,6] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[6,4,8,3,2,7,1,5] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,3,7,2,1,6,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[2,5,6,4,7,1,8,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[6,7,4,3,2,1,8,5] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,3,7,2,1,5,6] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[1,5,2,8,4,6,7,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[1,5,2,7,4,6,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[5,6,3,4,8,7,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,1,1,1] => 3

[6,5,3,4,8,7,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1] => 3

[7,5,3,8,4,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[8,5,3,7,4,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[5,8,1,2,3,4,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [5,2,1] => 5

[7,1,2,8,3,6,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,8,2,7,4,6,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[5,8,3,7,4,6,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[6,8,7,3,4,5,2,1] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,1,1] => 3

[1,8,7,2,4,5,3,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[8,7,1,2,3,4,6,5] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[8,6,1,2,3,4,7,5] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[8,1,6,2,3,5,4,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[1,7,6,2,4,5,3,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,8,7,4,6,3,5,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [3,2,1,1,1] => 3

[1,8,3,5,7,2,6,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[2,3,4,6,8,5,7,1] => [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [5,2,1] => 5

[2,4,6,3,7,8,5,1] => [[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [4,2,1,1] => 4

[2,5,7,1,8,6,3,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,6,7,1,8,4,5,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,8,4,2,6,7,1,5] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[2,4,1,8,5,6,3,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,5,1,6,7,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[8,5,3,1,7,4,2,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[4,2,8,7,1,5,3,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,2,6,8,1,7,4,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[6,7,1,2,3,5,8,4] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [5,2,1] => 5

[3,1,6,7,8,4,2,5] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[3,1,4,8,5,6,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[8,3,1,4,5,7,2,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[6,7,8,9,1,2,3,4,5,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[6,7,8,1,2,3,4,5,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[5,6,7,8,9,1,2,3,4,10] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[4,6,7,8,1,2,3,5,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[2,6,3,8,7,5,4,1] => [[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [3,1,1,1,1,1] => 3

[8,6,1,5,2,4,3,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,6,2,4,1,5,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,1,6,5,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,3,6,1,5,4,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,3,2,6,5,4,1,7] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,3,1,7,5,4,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,2,7,4,1,5,3,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,1,3,8,7,5,4,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,1,1,1,1,1] => 3

[3,6,1,8,7,5,4,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[3,8,1,5,7,6,4,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[3,5,2,8,7,6,4,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[3,4,8,2,7,6,5,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[3,4,8,7,1,6,5,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,1,3,5,7,6,4,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [4,1,1,1,1] => 4

[4,1,8,5,7,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[8,2,7,1,4,5,6,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[8,1,7,3,4,6,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,3,1,7,2,6,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[3,8,2,4,7,6,5,1] => [[[.,[.,.]],[.,[[[.,.],.],.]]],.] => [2,1,5,6,7,4,3,8] => [3,2,1,1,1] => 3

[2,8,3,7,4,6,5,1] => [[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 4

[8,2,3,7,1,6,5,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[8,2,7,1,3,6,5,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[8,1,7,2,6,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,4,8,5,7,6,3,1] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [4,1,1,1,1] => 4

[8,2,7,4,3,1,5,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,2,7,3,1,5,6,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[6,2,1,8,7,5,4,3] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[6,1,8,2,7,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[8,1,7,3,5,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,1,5,2,7,6,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[8,1,7,2,4,6,5,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[8,2,4,1,7,6,5,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[4,2,8,3,7,6,5,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[4,8,2,1,7,6,5,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,1,8,7,2,6,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[5,8,1,3,7,6,2,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[8,2,5,4,1,7,6,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,1,4,3,7,6,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[4,8,1,3,7,6,5,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[4,3,8,1,7,6,5,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,8,6,3,2,1,7,4] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,7,6,3,2,4,1,8] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,5,7,2,4,3,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,7,1,3,2,8,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[5,8,1,3,2,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[8,5,1,3,2,4,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,5,8,2,1,4,3,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,7,1,2,5,4,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[6,8,1,2,5,7,4,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[8,1,6,4,2,3,5,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,5,8,2,3,1,4,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,4,1,2,6,8,3,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[6,2,8,1,5,7,3,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,3,5,4,2,1,8,6] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,7,6,5,2,3,8,1] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [3,2,1,1,1] => 3

[4,7,6,5,1,3,8,2] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[6,7,4,2,1,8,5,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,7,3,2,1,8,5,4] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,7,6,3,2,8,4,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[5,4,2,1,7,3,6,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[6,5,8,1,7,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,5,8,2,3,7,4,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[4,1,2,8,5,3,6,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[3,7,6,1,5,2,8,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,7,6,5,8,1,2,4] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,7,1,5,8,4,3,6] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[7,1,2,6,3,5,4,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[7,2,6,3,4,5,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[6,1,2,5,7,8,4,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,1,1,1] => 5

[4,1,2,7,8,5,3,6] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[3,7,6,1,5,8,2,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,8,5,6,4,2,7,1] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [3,2,1,1,1] => 3

[3,2,6,4,7,8,5,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 4

[4,2,7,1,3,8,6,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[5,2,1,4,7,8,3,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[2,7,6,8,5,1,3,4] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[2,7,6,8,5,3,1,4] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1] => 3

[1,5,8,6,4,2,3,7] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[2,5,8,6,4,1,7,3] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[2,4,6,1,5,7,3,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[1,6,2,3,5,8,7,4] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [5,1,1,1] => 5

[4,7,2,3,1,6,8,5] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,4,6,2,8,3,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[7,3,5,1,4,8,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,6,5,1,2,7,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[4,3,8,2,6,7,5,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[4,1,8,5,6,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,2,6,1,5,3,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,7,2,3,1,5,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,5,2,3,8,1,6,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,1,7,5,2,3,4,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[8,6,3,1,4,2,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,5,1,6,2,8,7,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,8,3,6,1,7,2,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[9,2,3,4,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [7,1,1] => 7

[8,2,3,4,5,6,7,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[1,2,4,3,5,6,7,8,9] => [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [8,1] => 8

[1,2,4,6,8,5,7,3] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [5,2,1] => 5

[3,8,7,4,6,5,1,2] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[4,5,8,7,2,6,1,3] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[3,8,6,7,5,1,4,2] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[4,2,7,6,5,8,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[3,8,5,4,1,7,6,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,7,2,5,8,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[6,3,8,7,5,1,4,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[5,3,6,4,1,2,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[3,2,4,5,1,8,6,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,2,5,1,7,8,3,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,4,1,3,8,6,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[5,1,8,2,4,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[1,5,4,8,2,3,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[4,8,3,1,6,7,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,8,2,6,5,7,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[3,6,2,4,8,7,1,5] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[7,3,4,6,8,1,2,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[1,5,6,8,3,7,2,4] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[5,6,8,1,3,4,7,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[6,8,1,3,5,4,7,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[8,1,6,3,5,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[6,2,4,8,1,7,3,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[1,6,2,7,4,8,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[2,7,1,8,4,3,5,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,7,1,8,3,2,4,5] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,7,6,3,5,8,1,4] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[2,7,5,6,8,1,3,4] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[6,7,2,8,1,3,4,5] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[5,1,6,8,7,2,3,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[3,8,6,7,5,1,2,4] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[2,6,8,1,5,4,7,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[1,5,4,7,6,2,8,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[2,3,7,6,5,1,8,4] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[6,1,5,8,3,2,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[2,5,8,4,6,3,1,7] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[6,4,1,7,5,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,2,5,4,8,1,6,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[1,7,2,5,3,8,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[7,2,3,8,6,1,5,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[7,3,2,5,8,1,6,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[5,3,8,4,1,2,6,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[2,4,8,3,7,1,5,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[5,2,8,4,1,6,3,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,6,5,2,1,8,4,3] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[2,7,5,1,8,3,6,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,1,8,7,4,3,6,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[3,8,7,2,4,6,1,5] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[5,7,1,3,2,4,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[8,4,7,6,3,5,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,1,7,4,2,3,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,5,1,3,8,7,4,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[5,1,6,8,3,7,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[8,6,5,1,7,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[7,6,4,1,3,5,8,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[8,2,3,7,1,4,5,6] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[2,8,3,7,1,4,5,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[5,6,2,7,4,3,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[8,6,2,7,4,1,3,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[3,7,8,5,2,1,4,6] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1] => 3

[6,8,4,7,3,1,5,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[4,8,6,5,1,2,7,3] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[4,8,6,5,1,2,3,7] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[3,4,5,1,7,6,8,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,8,7,6,5,1,2,4] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[5,7,2,6,1,8,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,7,2,6,1,3,8,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,8,2,6,1,4,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,8,4,7,2,1,5,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[1,7,3,4,5,2,8,6] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[4,8,2,1,3,5,6,7] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[1,7,2,5,4,3,8,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[2,6,7,3,4,8,1,5] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[2,1,5,7,4,3,8,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[1,5,8,7,4,3,6,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [3,2,1,1,1] => 3

[6,4,1,3,8,7,5,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[2,1,7,4,6,8,3,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,7,2,4,6,8,3,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[8,6,4,2,7,3,5,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[1,8,6,2,7,3,5,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,7,8,6,2,3,5,4] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[2,1,8,3,5,7,6,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[3,5,8,1,7,6,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,8,1,3,6,7,5,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[7,2,4,8,6,1,5,3] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[2,3,4,5,6,7,9,1,10,8] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[8,2,1,3,4,5,6,7,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[3,2,4,5,6,7,8,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[9,2,1,3,4,5,6,7,8,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[8,3,1,2,4,5,6,7,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[4,2,3,5,6,7,8,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[6,4,3,2,8,1,7,5] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,2,4,3,8,1,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,8,4,3,1,6,7,2] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,10,4,9,3,8,2,7,6,12,1,11] => [[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,3,6,5,8,10,9,7,12,11] => [3,2,2,2,2,1] => 3

[4,7,3,6,5,10,2,9,8,12,1,11] => [[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,10,9,7,12,11] => [3,3,2,2,1,1] => 3

[4,2,8,1,5,7,6,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[6,3,7,2,5,4,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,4,7,3,2,6,8,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[3,7,5,4,6,2,8,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[4,8,1,7,5,3,2,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,4,3,7,2,8,6,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[2,6,5,8,7,3,1,4] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[6,3,8,4,1,7,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,8,1,6,4,3,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[2,8,7,5,3,1,4,6] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[2,5,6,3,1,4,8,7] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[2,4,7,8,5,3,1,6] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,2,1,1] => 4

[6,5,3,2,4,1,8,7] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,8,7,3,2,4,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,5,6,7,3,1,4,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[8,7,5,3,2,6,4,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 2

[8,5,3,1,4,6,7,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[6,1,4,3,7,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,1,2,7,5,8,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[2,7,3,1,4,6,8,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[2,8,3,1,6,5,7,4] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,8,5,6,7,1,2,4] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[6,5,1,2,8,4,7,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[2,5,8,1,4,6,7,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[2,1,8,7,5,4,6,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[7,8,3,4,1,6,5,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[8,7,3,4,2,6,5,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[8,4,5,2,3,7,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[4,7,2,8,6,3,1,5] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[4,7,5,2,3,8,1,6] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[6,4,7,5,2,8,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,5,1,3,6,4,8,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[7,2,6,3,1,5,8,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,6,3,8,7,5,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[2,8,4,1,5,7,6,3] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,8,5,4,1,7,6,3] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,5,8,3,7,1,6,4] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[1,4,6,2,8,7,5,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[7,8,2,4,1,6,5,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[2,4,6,1,8,7,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[2,8,4,5,1,7,6,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,1,6,8,7,5,3,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[1,8,2,4,5,7,6,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [5,1,1,1] => 5

[1,2,8,3,5,7,6,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [5,1,1,1] => 5

[2,3,8,1,5,7,6,4] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[2,6,1,8,7,5,3,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[1,6,2,8,7,5,3,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[1,6,3,8,7,5,2,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[3,2,8,1,5,7,6,4] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,1,8,2,5,7,6,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[2,8,1,4,5,7,6,3] => [[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [4,2,1,1] => 4

[2,3,6,8,7,5,1,4] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,2,1,1] => 4

[3,1,6,8,7,2,5,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,8,4,5,1,6,2,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[6,1,4,5,7,2,3,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[8,1,4,7,6,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[5,3,8,6,2,7,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,3,6,1,5,7,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,4,6,3,1,2,5,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[6,8,1,4,5,2,3,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[5,6,8,1,4,2,3,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[5,7,4,8,1,2,3,6] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[8,2,1,5,3,7,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,7,8,1,2,6,3,5] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[8,7,1,5,6,2,3,4] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[1,6,5,8,7,2,3,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[3,7,1,6,2,4,8,5] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,1,2,7,6,8,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[1,7,6,5,8,2,3,4] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[7,5,1,2,6,8,3,4] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[3,1,2,7,8,4,6,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,8,6,2,5,7,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[5,7,8,1,2,6,3,4] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[8,1,5,7,6,2,3,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,1,6,8,5,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[8,3,1,2,7,6,4,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[1,9,3,4,5,6,7,8,2] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [7,1,1] => 7

[7,8,1,3,4,5,2,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[1,7,4,8,2,5,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[3,8,6,1,4,2,7,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,6,8,4,1,5,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,3,2,8,1,5,4,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,7,3,2,5,1,8] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,6,5,3,8,4,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[6,4,5,7,8,1,3,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,8,5,2,4,6,1,7] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[1,6,4,8,3,5,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[4,8,2,5,3,7,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,1,8,6,5,3,7,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[6,8,1,2,7,4,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[5,8,7,3,6,2,4,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,5,2,3,4,8,6,1] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [4,1,1,1,1] => 4

[7,3,5,4,2,8,6,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,6,1,3,2,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,5,1,3,7,8,6,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[4,3,7,2,1,8,6,5] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,6,7,2,1,3,5,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[4,6,2,3,1,5,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[3,6,2,7,5,4,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[2,4,7,5,3,6,1,8] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[2,5,7,3,4,1,6,8] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[2,4,7,3,8,6,5,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,2,1,1,1] => 3

[3,4,2,7,5,8,6,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[3,1,5,4,7,8,6,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[3,7,8,1,4,6,5,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[2,5,8,7,4,1,3,6] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[7,3,5,1,4,2,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,4,7,1,3,2,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,7,4,3,1,5,6,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[8,7,1,4,3,5,6,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[4,7,3,6,1,2,8,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,2,1,7,4,3,8,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,6,8,2,5,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[2,3,6,1,8,7,5,4] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[2,6,8,7,5,3,1,4] => [[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [3,2,1,1,1] => 3

[6,4,1,7,5,2,8,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[4,8,7,1,2,5,6,3] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[2,8,7,4,1,5,6,3] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[8,6,2,1,5,7,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[3,8,6,7,5,2,1,4] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[6,1,3,7,5,8,2,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[6,1,8,5,3,4,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[6,4,1,8,7,2,5,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,9,1,2,3,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[2,8,3,7,6,1,4,5] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[4,2,7,8,6,1,3,5] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[7,4,6,8,5,2,3,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[5,2,6,7,8,1,3,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[4,5,6,8,1,2,7,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[3,5,8,6,1,2,7,4] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[4,2,6,8,7,1,3,5] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[4,5,3,8,1,7,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,5,8,4,1,7,2,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[1,6,5,7,8,2,3,4] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[6,5,4,8,1,3,7,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,6,4,8,5,1,3,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,1,2,7,4,5,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[2,5,7,4,6,1,3,8] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[6,1,7,4,5,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[8,2,7,3,1,5,4,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,6,4,8,3,1,7,5] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[8,1,3,7,5,6,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[1,2,5,3,8,6,7,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[4,1,6,5,7,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,1,3,7,4,2,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[6,7,2,4,1,3,8,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[8,5,3,4,2,7,1,6] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[1,8,6,7,2,5,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[7,6,8,3,5,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[1,6,7,3,8,5,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,2,1,1,1] => 3

[7,3,4,8,1,6,5,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[8,7,2,4,6,1,5,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,8,6,5,2,4,3,1] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,6,7,5,2,8,4,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1] => 3

[5,4,6,7,8,1,3,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[5,3,6,7,8,1,4,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[7,5,3,2,8,6,4,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[5,4,8,6,7,2,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[5,4,8,6,3,1,2,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[4,5,7,3,6,2,8,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[4,5,6,3,8,2,7,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[5,4,8,7,2,1,3,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[2,5,4,7,8,1,3,6] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[5,3,6,4,8,2,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[5,3,7,4,6,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,2,6,3,7,4,5,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,2,6,5,7,3,4,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[4,5,6,2,7,3,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[7,4,6,1,5,2,8,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,4,6,2,8,3,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,4,6,1,7,2,5,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,1,6,3,8,7,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[6,3,2,8,5,4,1,7] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[4,3,1,5,2,8,6,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,5,4,1,3,2,6,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,5,4,3,8,1,6,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,5,7,4,3,1,6,8] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[5,3,4,2,7,1,6,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[3,7,5,4,1,2,6,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[4,2,5,1,3,8,7,6] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,3,5,1,2,7,6,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,2,1,8,6,3,7,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[3,7,2,4,1,6,5,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,3,2,1,6,4,5,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,5,4,6,1,3,7,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,5,6,4,1,3,7,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[8,5,2,6,1,3,7,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,1,5,6,3,2,4,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,1,2,5,4,6,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[2,4,1,6,5,3,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,1,2,7,5,6,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[2,8,5,1,6,4,7,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,1,4,5,3,2,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[3,1,6,5,4,2,7,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[3,1,4,6,5,2,7,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[2,1,8,6,3,7,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[5,8,3,1,7,6,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,6,3,2,8,5,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[5,6,3,8,7,4,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[4,3,8,5,7,2,6,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[6,3,8,5,4,1,2,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[5,2,3,1,4,8,6,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,4,1,3,2,8,6,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,1,3,4,2,8,6,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,2,1,4,3,8,6,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,7,3,2,8,5,1,6] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,3,7,2,8,5,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,4,3,1,2,8,6,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[5,3,4,1,2,8,6,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,2,3,4,1,8,6,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,8,7,4,3,1,6,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,8,1,3,4,5,7,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[3,1,7,8,2,5,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,3,7,4,1,2,5,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[3,7,2,8,6,5,1,4] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[3,6,7,5,1,2,4,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[7,4,5,1,8,2,3,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,2,3,1,8,4,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,1,4,8,3,7,5,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[4,8,1,6,7,3,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,8,1,3,5,6,2,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[5,3,7,8,4,2,6,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[6,3,7,8,2,4,5,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[8,5,2,4,3,1,7,6] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,4,2,3,1,8,6] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[3,5,4,6,7,1,8,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[1,4,2,6,5,8,7,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,3,2,6,4,8,7,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,4,2,5,3,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,5,2,6,4,8,7,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,6,2,5,3,8,7,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[2,5,1,4,3,8,7,6] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[1,7,3,5,4,8,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[1,8,2,6,3,7,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,8,3,6,4,7,5,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[1,7,2,6,4,8,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,7,2,6,3,8,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[1,5,2,7,4,8,6,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[1,4,2,8,5,7,6,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 4

[4,8,1,3,2,6,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,8,4,7,3,6,5,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[2,6,3,8,1,5,4,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[8,3,1,4,2,6,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,8,7,3,5,2,4,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,3,5,1,2,6,4,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,6,3,1,5,4,2,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,6,4,1,5,3,2,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,6,5,4,1,3,2,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[2,3,8,7,4,6,1,5] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[8,3,5,7,4,1,2,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[4,8,5,3,1,2,7,6] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[6,8,7,3,1,5,4,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,8,5,4,1,3,7,2] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[2,5,8,7,4,6,3,1] => [[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [3,2,1,1,1] => 3

[4,8,7,6,5,1,3,2] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[3,8,7,5,1,6,2,4] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,3,8,7,5,6,1,4] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[2,8,7,1,3,6,4,5] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[8,5,4,7,2,1,3,6] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[3,5,8,6,4,2,7,1] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [3,2,1,1,1] => 3

[5,8,4,6,1,2,7,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[2,4,8,6,5,1,7,3] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[4,8,7,6,5,2,1,3] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [2,2,1,1,1,1] => 2

[4,8,7,5,1,6,2,3] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[4,5,8,3,1,6,7,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[5,7,2,8,4,6,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,7,3,2,4,8,5,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[8,7,2,6,5,1,3,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[5,2,7,8,4,1,3,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,7,8,6,4,1,3,5] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[7,6,3,5,2,8,4,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,2,7,4,8,5,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[8,6,5,1,7,2,4,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[5,1,6,3,4,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[3,5,2,6,4,8,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,3,8,2,4,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,3,8,7,5,4,2,1] => [[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,1,1,1,1,1,1] => 2

[6,8,4,2,1,7,5,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,3,1,4,8,2,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[3,8,1,7,6,2,5,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,1,7,6,4,2,5,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[7,2,6,3,8,5,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[7,3,8,6,4,1,5,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[1,7,5,8,2,4,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[2,6,7,4,3,8,5,1] => [[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [3,2,1,1,1] => 3

[1,4,8,7,3,6,5,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [3,2,1,1,1] => 3

[8,3,7,2,5,1,6,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,7,2,8,1,5,4,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[3,2,6,1,5,8,4,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,2,1,5,8,4,3,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[7,2,8,1,4,3,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,7,4,5,6,8,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[1,6,4,2,3,5,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[1,8,7,2,3,4,5,6] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[1,5,8,6,2,3,4,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,6,5,7,2,3,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,7,5,6,2,3,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,2,3,7,6,4,5,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [6,1,1] => 6

[1,7,5,8,2,3,4,6] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,8,7,5,2,3,4,6] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[2,1,5,8,6,3,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[2,5,8,4,6,1,7,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[2,5,3,8,6,1,7,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[2,6,3,5,8,1,7,4] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[6,3,2,5,8,1,7,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[5,3,2,8,6,1,7,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,4,6,1,3,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,3,8,6,1,4,7,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[8,3,5,7,2,6,4,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[2,4,6,8,5,3,7,1] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [4,2,1,1] => 4

[2,4,8,1,7,6,5,3] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[4,3,8,1,5,7,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,8,4,1,5,7,6,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,3,6,8,5,2,7,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[8,5,4,7,2,6,3,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,6,4,8,5,2,7,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[3,6,4,1,8,2,7,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,6,4,1,5,2,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,8,6,5,1,3,7,2] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[2,8,3,5,6,7,1,4] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[2,3,7,4,6,1,8,5] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[2,6,7,4,1,3,8,5] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[6,5,7,4,1,3,8,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[2,4,6,3,5,7,8,1] => [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [5,2,1] => 5

[2,3,6,1,5,7,8,4] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[4,3,6,2,5,7,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[4,6,1,2,5,7,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[2,6,4,1,5,7,8,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[2,4,1,6,5,7,8,3] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[7,5,4,2,6,1,8,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[4,7,3,1,8,6,5,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,6,4,2,7,1,8,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,3,6,4,8,2,1,7] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,3,2,5,4,1,8,6] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,2,5,1,8,6,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,7,3,2,6,1,8,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,7,3,2,6,4,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[2,7,5,3,1,8,6,4] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,5,2,8,4,3,1,6] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[7,3,2,4,1,8,6,5] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,3,2,7,5,1,6] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[4,3,7,5,8,2,1,6] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[4,3,7,5,2,6,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[4,3,5,2,8,6,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,2,3,4,5,9,7,8,6] => [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [7,1,1] => 7

[1,2,3,4,9,6,7,8,5] => [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1] => [7,1,1] => 7

[1,2,3,9,5,6,7,8,4] => [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [7,1,1] => 7

[1,2,9,4,5,6,7,8,3] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [7,1,1] => 7

[1,2,8,6,4,5,7,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [5,1,1,1] => 5

[1,8,5,3,4,6,7,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,1,1,1] => 5

[10,2,3,4,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,1,1] => 8

[8,7,5,6,1,3,4,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[3,2,6,4,1,8,5,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,8,6,5,3,1,4,7] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[5,4,8,6,2,3,1,7] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[4,8,7,5,2,3,1,6] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[3,4,2,8,7,5,1,6] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[8,5,7,6,3,2,4,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[6,4,1,8,7,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[1,8,5,4,2,7,3,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[8,3,2,7,4,6,5,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[7,5,8,4,1,3,6,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,1,6,2,3,8,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[6,4,7,1,3,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,1,3,8,7,2,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[8,7,1,6,2,5,3,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,8,5,2,4,7,6,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,8,5,1,4,7,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[7,2,5,4,1,3,8,6] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,8,1,6,3,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,9,1,2,3,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[3,9,1,2,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [7,2] => 7

[7,10,1,2,3,4,5,6,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[6,10,1,2,3,4,5,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[4,10,1,2,3,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[3,10,1,2,4,5,6,7,8,9] => [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [8,2] => 8

[1,8,2,3,4,5,6,7,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [8,1] => 8

[7,4,6,1,3,2,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,4,5,8,6,3,2,7] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [4,2,1,1] => 4

[4,5,2,6,7,3,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[5,2,6,3,1,7,8,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,3,5,1,6,7,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[3,6,7,5,1,2,8,4] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[5,7,6,8,1,2,4,3] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[5,6,3,7,1,4,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,3,2,1,8,6,4,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[9,8,7,5,6,4,3,2,1] => [[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[11,10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1] => 1

[10,9,8,7,5,6,4,3,2,1] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[9,8,7,5,4,6,3,2,1] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[1,8,7,6,5,4,3,2,9] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [3,1,1,1,1,1,1] => 3

[1,9,8,7,6,5,4,3,2,10] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 3

[2,1,8,7,6,5,4,3,9] => [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [3,1,1,1,1,1,1] => 3

[7,8,5,3,6,2,1,4] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[1,8,4,3,2,6,7,5] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[5,4,3,8,2,1,7,6] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,8,3,2,1,7,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[1,8,4,3,2,7,6,5] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,8,6,7,3,2,4,5] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,8,4,3,2,7,5,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[5,4,3,8,2,1,6,7] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[6,4,2,3,5,1,8,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,6,3,2,5,4,7,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[7,2,3,4,5,8,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[7,2,8,1,5,3,4,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,8,6,4,7,2,5,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[2,1,8,6,4,5,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[4,8,2,5,7,3,1,6] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[5,8,2,3,4,7,1,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,8,5,1,4,7,6,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,8,5,1,3,6,7,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[4,6,8,5,2,7,3,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1] => 3

[3,7,8,5,2,6,4,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1] => 3

[8,5,4,7,1,3,6,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,3,6,2,8,1,5,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,1,5,2,3,7,6,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[3,7,2,8,4,5,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,5,1,8,4,6,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,2,1,5,6,8,3,7] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[4,1,2,6,5,8,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[4,1,8,3,2,6,7,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[4,6,2,7,8,3,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[4,6,1,3,8,2,5,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,3,6,2,1,8,7,5] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,7,4,5,1,6,2,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,6,4,5,8,2,1,7] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4

[6,1,4,5,2,8,7,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[7,2,4,5,1,6,3,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[7,5,4,1,6,3,2,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[1,5,4,8,6,3,2,7] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[1,8,7,5,3,6,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 3

[8,3,7,4,1,6,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,4,1,6,3,2,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[1,7,4,2,6,5,3,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[8,2,1,5,6,7,3,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[7,1,4,8,6,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[4,1,8,5,6,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,7,4,8,6,2,1,3] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[6,3,7,4,8,2,1,5] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[5,3,6,1,4,7,2,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,3,7,4,8,2,1,6] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[5,3,8,4,1,6,2,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,8,1,4,7,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,3,8,4,1,6,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,5,8,3,6,7,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1] => 4

[1,8,2,5,6,7,3,4] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[6,3,8,1,5,7,2,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,3,1,2,5,7,4,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,1,4,2,6,5,3,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,8,9,1,3,4,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[2,8,9,10,1,3,4,5,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[5,1,6,2,7,3,8,4,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,5,2,6,3,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[5,1,3,7,4,8,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[5,1,3,4,7,8,2,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[2,5,8,7,4,3,6,1] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [3,2,1,1,1] => 3

[5,1,7,8,3,4,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[2,3,5,7,4,6,8,1] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [5,2,1] => 5

[4,5,2,3,8,6,1,7] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[3,7,4,5,8,1,2,6] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[3,7,8,1,4,5,2,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,8,1,3,7,5,2,6] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[2,4,7,8,5,3,6,1] => [[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [4,2,1,1] => 4

[2,4,7,5,8,3,6,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[4,8,5,7,3,1,2,6] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[4,8,7,5,1,3,2,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[3,7,8,4,1,5,2,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[1,8,5,7,2,4,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,8,5,4,2,3,6,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,4,2,7,5,8,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,8,2,3,6,7,5,4] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [5,1,1,1] => 5

[1,6,5,4,3,8,2,7] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[1,8,3,4,5,6,2,7] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[1,8,3,6,2,4,5,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,4,5,8,3,6,2,7] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[1,2,7,8,4,5,3,6] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[7,2,8,4,3,6,5,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[7,2,8,5,6,3,4,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[7,6,3,8,5,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,1,1,1,1,1,1] => 2

[6,2,8,7,5,4,1,3] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[5,2,8,4,3,1,7,6] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[1,5,7,3,6,2,8,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[3,6,2,7,1,5,4,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[1,2,5,4,8,3,7,6] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[1,4,3,5,8,2,7,6] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,5,3,7,6,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,6,4,5,7,8,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[4,2,6,5,7,8,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,2,4,6,8,7,1,5] => [[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [4,2,1,1] => 4

[5,3,2,8,7,6,4,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[5,3,8,2,7,6,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,5,4,8,3,7,2,1] => [[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [2,2,1,1,1,1] => 2

[4,8,5,1,3,7,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[4,3,8,7,2,6,5,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[2,7,5,1,8,4,6,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,8,5,2,1,6,4,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,4,8,1,2,5,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,5,4,8,3,2,6,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [2,2,1,1,1,1] => 2

[3,8,5,6,2,7,1,4] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[2,4,5,8,6,7,1,3] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[4,1,5,8,6,7,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[4,3,7,6,1,2,8,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[4,7,5,6,1,2,8,3] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[4,3,7,5,6,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[3,4,5,8,7,1,2,6] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[4,7,1,5,6,2,8,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,6,4,7,1,3,8,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[6,4,1,5,7,8,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[3,8,4,6,1,7,2,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,8,5,6,4,7,2,1] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [3,2,1,1,1] => 3

[3,8,6,5,2,7,4,1] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,8,7,5,2,1,4,6] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[3,8,6,5,1,7,2,4] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,1,7,3,2,8,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,5,4,7,1,3,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,1,6,5,3,7,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,1,4,7,2,3,8,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[1,6,2,5,4,8,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[4,1,2,7,5,8,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[6,1,3,5,8,2,4,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[6,2,3,5,8,1,4,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[6,7,2,1,3,8,4,5] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[4,1,7,5,8,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[6,7,1,3,8,4,5,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[6,1,7,4,2,8,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[2,1,6,7,4,3,8,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[2,5,7,3,1,4,8,6] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[2,7,1,8,4,6,3,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,7,5,8,1,6,3,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[8,3,7,6,1,2,5,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[8,2,5,7,1,4,6,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[8,2,4,7,1,5,6,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[8,2,3,4,7,1,5,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[8,7,4,6,5,2,3,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[8,4,6,7,5,1,2,3] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[8,4,6,7,5,1,3,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[8,3,5,7,6,1,4,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[8,7,3,6,2,1,5,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,3,4,6,2,1,5] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[8,6,5,2,7,4,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[8,4,3,7,6,5,1,2] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,5,6,7,4,1,3,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[8,5,7,6,4,1,2,3] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[8,4,2,7,5,1,6,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,4,2,7,5,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,4,7,6,5,1,2,3] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,3,5,2,7,4,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,5,3,7,6,4,1,2] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,5,3,2,7,6,4,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[8,6,1,5,4,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[2,4,5,8,3,1,6,7] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[2,7,4,6,1,5,8,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[2,4,3,8,5,1,6,7] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[1,5,6,7,3,8,2,4] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[1,7,3,5,8,4,6,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[3,8,7,2,4,6,5,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,1,8,7,6,4,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[3,1,8,7,5,4,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[3,1,7,6,5,4,2,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[4,7,1,6,5,3,2,8] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,8,1,6,5,3,2,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[8,4,1,7,6,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,4,1,8,6,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,4,1,7,6,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[6,4,1,8,5,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,4,1,7,5,3,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,4,1,6,5,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,5,6,1,4,3,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,5,6,1,4,3,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,5,7,1,4,3,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,7,5,1,4,3,2,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,6,5,1,4,3,2,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[1,8,6,3,4,2,5,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[3,1,6,4,5,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[4,6,8,7,2,5,1,3] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[7,6,3,8,4,5,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[8,2,7,6,1,4,3,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,2,7,8,1,4,3,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,6,3,8,4,1,2,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[8,2,7,6,1,4,5,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[5,2,3,4,7,1,6,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[5,2,3,7,1,6,8,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[5,2,3,4,7,8,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[8,7,5,3,1,6,4,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[3,2,6,7,4,1,5,8] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[5,8,3,7,6,4,1,2] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[3,6,7,1,4,2,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[4,7,5,8,2,1,3,6] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[1,8,7,5,3,2,6,4] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[7,8,1,5,4,2,3,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,4,6,8,1,5,7,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[5,7,6,1,4,3,8,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,8,1,7,5,4,2,3] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[7,6,3,1,2,8,5,4] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[1,7,5,2,6,4,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[7,1,3,6,8,2,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[3,1,2,7,5,4,8,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[1,6,3,5,7,8,2,4] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[8,6,1,7,5,2,4,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,6,4,1,8,3,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,4,1,6,5,2,7,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[1,5,3,4,7,8,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[4,2,1,5,7,8,3,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[5,4,1,6,7,8,2,3] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[5,1,4,6,7,8,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[4,1,5,3,7,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,1,4,6,5,2,7,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[8,2,1,6,7,5,4,3] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[8,6,4,1,5,7,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[1,2,8,7,4,3,6,5] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [4,1,1,1,1] => 4

[1,3,6,4,7,8,2,5] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[4,5,1,3,7,8,2,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[5,2,3,1,7,8,4,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,6,4,3,1,5,2,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,5,4,6,1,3,2,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,6,5,1,2,7,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[1,5,6,3,7,8,2,4] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[1,5,2,4,3,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 4

[8,6,5,7,2,1,4,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,4,2,6,3,8,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[9,7,6,5,4,3,1,2,8] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[2,4,3,5,6,7,8,9,1] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [7,1,1] => 7

[2,3,8,4,7,5,6,1] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [5,1,1,1] => 5

[4,3,7,8,6,2,5,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[3,8,1,7,5,2,4,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,4,8,5,1,7,3,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,8,3,5,1,6,4,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,5,3,8,2,1,7,6] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[8,2,1,4,5,6,7,3] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[7,3,1,2,5,6,4,8] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[5,2,3,7,8,1,6,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[1,2,7,5,3,4,6,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1] => 6

[1,7,3,2,6,8,4,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[7,2,1,3,6,8,4,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[4,7,8,1,6,5,3,2] => [[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,1,1,1] => 3

[3,5,8,6,1,4,2,7] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[1,8,4,2,7,6,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[7,3,8,1,6,5,4,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,3,8,2,6,5,4,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[7,1,3,8,6,5,4,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,1,1,1,1,1] => 3

[8,1,3,7,6,5,4,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,1,1,1,1,1] => 3

[2,4,1,8,7,3,6,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,3,8,6,1,5,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,5,1,7,8,2,6,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,4,7,8,2,1,6,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[6,3,8,7,1,5,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,6,4,7,1,5,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,7,1,5,3,2,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,4,6,2,1,8,5,7] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,5,7,2,1,6,3,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,6,4,8,3,2,1,7] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[5,7,4,8,2,1,6,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[8,5,6,1,7,3,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,5,2,6,1,3,8,7] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,7,1,2,4,8,5,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[1,6,3,4,7,8,5,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [5,1,1,1] => 5

[2,3,6,4,7,5,8,1] => [[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [5,1,1,1] => 5

[7,8,1,3,4,5,6,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[1,8,2,6,7,3,4,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[4,7,3,2,8,1,5,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,1,2,6,3,8,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[8,1,2,6,3,7,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[8,1,2,7,6,3,5,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[4,7,8,3,1,6,2,5] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[7,4,3,1,6,2,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,4,3,1,8,6,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[3,7,6,2,4,8,1,5] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[4,3,7,2,8,6,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,1,2,7,4,3,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[5,1,2,6,3,8,7,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[5,1,2,7,3,8,6,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[7,5,3,2,1,8,6,4] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[4,2,1,5,3,6,7,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,6,4,3,2,1,9,7,5] => [[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [2,1,1,1,1,1,1,1] => 2

[9,7,5,4,3,2,1,10,8,6] => [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [2,1,1,1,1,1,1,1,1] => 2

[6,2,5,4,1,8,7,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,6,3,2,1,8,7,5] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,3,2,1,8,7,4] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[8,4,3,2,7,6,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[1,5,8,4,7,6,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [3,2,1,1,1] => 3

[7,4,3,2,8,6,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[6,8,3,7,5,2,1,4] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[5,7,8,4,3,2,1,6] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,1,1,1] => 3

[4,5,3,2,8,6,1,7] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,2,8,6,5,4,1,7] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[6,8,7,4,3,2,1,5] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[3,6,1,4,8,7,2,5] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[5,8,1,3,7,2,6,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,3,2,1,8,7,4,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[6,2,3,1,8,7,4,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,4,8,1,7,5,6,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[7,2,5,1,8,3,6,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,2,1,5,8,4,6,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[4,2,8,1,7,5,6,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,3,1,5,2,8,6,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,1,6,4,2,8,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[3,7,4,1,5,8,6,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,8,6,1,2,7,4,3] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[6,8,1,4,3,7,5,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[6,7,1,4,3,8,5,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[4,7,1,5,3,8,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[6,8,1,2,4,7,5,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[7,1,6,4,8,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[8,6,4,1,3,7,5,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[8,5,3,6,1,7,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,6,1,2,7,4,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[8,5,2,1,4,3,6,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,8,4,1,3,6,7,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[8,1,2,4,5,6,7,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,1,1] => 6

[6,1,4,3,2,7,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[1,8,3,6,7,2,4,5] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[1,2,8,3,7,4,6,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[1,7,2,3,4,5,6,8,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [8,1] => 8

[8,2,6,5,4,3,1,7] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[8,2,7,6,4,5,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[8,7,3,5,4,2,6,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[4,6,7,2,1,8,3,5] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[3,7,1,8,2,5,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[4,5,8,6,1,3,7,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[4,6,7,1,5,3,8,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[4,6,7,2,1,8,5,3] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[4,1,3,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,1,1] => 6

[3,7,8,4,5,1,6,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[3,8,1,7,4,5,2,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[3,7,8,4,6,2,5,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[3,6,1,5,7,8,2,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,8,2,5,4,7,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,5,8,6,1,2,7,3] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[4,6,8,5,2,7,1,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[3,7,8,5,2,6,1,4] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[4,6,8,5,3,1,7,2] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[7,8,2,3,5,4,1,6] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[4,6,5,2,7,8,1,3] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[4,6,5,1,7,3,8,2] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,7,3,1,2,4,8,6] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[6,3,2,5,1,7,4,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[3,6,5,8,1,7,2,4] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[1,2,3,4,5,6,8,7,9] => [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [8,1] => 8

[9,2,3,4,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[5,2,7,3,4,6,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[1,3,5,8,6,4,7,2] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [4,2,1,1] => 4

[1,3,5,8,6,7,2,4] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1] => 5

[6,1,7,4,8,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[7,4,3,1,6,5,8,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[8,6,1,7,5,3,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,8,1,4,6,5,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[6,2,7,3,8,5,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[7,2,8,3,6,4,5,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[6,2,7,8,3,1,4,5] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[8,2,7,4,5,1,6,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,8,1,5,7,2,6,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[7,5,4,8,6,1,2,3] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,7,5,1,4,3,6,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[8,4,1,3,7,5,6,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[4,8,1,3,7,5,6,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[2,1,6,8,5,3,4,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[6,7,5,3,8,1,2,4] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[6,2,3,4,7,1,8,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[6,8,5,7,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[5,1,4,2,6,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[6,3,2,4,7,1,8,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[1,2,5,3,6,8,7,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [5,1,1,1] => 5

[7,3,6,1,4,8,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,7,3,2,1,4,6,5] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[8,3,5,1,7,4,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,3,6,2,8,5,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[1,7,2,3,5,8,6,4] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [5,1,1,1] => 5

[2,8,3,7,5,1,6,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[6,4,8,7,2,1,5,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,4,3,6,7,1,5] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[7,3,2,5,6,1,8,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,1,2,8,5,3,7,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[1,8,5,6,4,3,2,7] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[4,1,5,7,6,8,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[7,6,8,3,2,5,1,4] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,7,1,4,5,3,8,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,5,8,7,1,3,2,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,7,2,5,6,8,3,4] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [5,2,1] => 5

[1,7,2,4,8,3,5,6] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,6,2,4,5,3,7,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,3,2,8,4,5,7,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,7,2,5,3,4,8,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[7,1,5,6,2,3,8,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[8,2,1,4,6,7,3,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[4,1,3,7,2,5,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[6,2,7,5,1,3,8,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[8,6,1,3,5,7,2,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[1,7,4,3,8,2,5,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[6,1,5,3,4,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[3,6,7,5,2,8,1,4] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[7,8,4,1,5,6,2,3] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,8,1,3,6,7,2,4] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,8,4,3,7,1,5,6] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[3,8,4,6,7,1,2,5] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[7,1,3,8,2,4,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[8,1,3,7,2,4,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,5,4,7,8,1,2,6] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[8,3,1,4,7,2,5,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[1,6,4,7,8,2,3,5] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[5,2,3,6,7,8,1,4] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[1,3,7,8,5,6,2,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[8,2,6,7,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[2,5,8,4,7,1,3,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[4,5,8,7,1,2,3,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,3,1] => 4

[1,8,7,4,6,2,3,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[2,6,5,4,1,8,3,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[6,2,5,1,4,8,3,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,5,4,1,3,8,2,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,3,5,4,2,8,1,7] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[1,3,8,7,4,2,6,5] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[8,7,4,3,1,5,2,6] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,2,5,1,4,6,7,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[3,8,4,5,1,6,7,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[8,5,4,1,3,6,7,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[8,4,7,6,5,3,1,2] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[2,4,1,8,5,7,6,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[8,3,1,7,4,2,6,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,2,7,3,1,6,5,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,8,4,2,3,7,6,5] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[3,1,2,8,7,4,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[2,8,3,7,4,1,6,5] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[8,4,5,7,6,2,3,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[2,3,1,8,7,6,4,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,2,8,7,3,1,5,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,1,3,4,6,7,2,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[8,4,2,1,7,5,6,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[6,2,8,5,4,1,7,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,1,5,7,6,3,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[3,1,8,2,7,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,5,7,1,6,4,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,4,7,2,1,6,5,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,8,4,7,6,5,2,3] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[3,5,8,1,7,4,6,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[8,4,7,1,3,6,5,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[8,2,3,4,5,6,9,1,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[2,3,4,7,6,8,1,5] => [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,2,1] => 5

[3,8,1,2,5,6,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,7,1,2,5,6,4,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[8,5,2,1,4,6,7,3] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[4,8,1,6,5,2,7,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,2,6,3,8,5,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,3,5,4,2,7,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,1,8,6,5,2,7,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[7,2,6,8,4,3,5,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[6,5,3,2,4,8,1,7] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,2,3,4,6,8,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[8,3,4,6,7,5,1,2] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[6,8,3,4,7,5,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,1,1,1] => 3

[5,8,6,1,3,4,7,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[4,8,1,5,7,6,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[3,7,4,6,8,2,5,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[4,7,1,6,8,3,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,5,2,8,1,7,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,8,5,2,6,7,1,3] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[5,4,8,6,1,2,7,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[8,4,6,5,2,7,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[8,6,2,3,5,1,7,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,2,5,7,4,1,3,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[7,2,4,5,6,8,1,3] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[7,1,5,8,4,6,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[6,3,8,4,7,1,5,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,3,6,1,4,2,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,2,4,8,1,5,6,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[7,1,8,4,2,5,6,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,4,2,5,8,1,7,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[2,1,7,5,8,3,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,3,8,5,6,2,1,4] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[2,7,4,8,1,5,6,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[7,4,8,3,1,5,6,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,1,5,8,3,7,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[2,6,3,5,8,7,4,1] => [[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [4,1,1,1,1] => 4

[8,6,5,3,7,2,1,4] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[7,4,8,6,5,3,2,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,1,1,1,1,1,1] => 2

[7,4,8,5,6,3,1,2] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,8,3,4,1,5,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,2,3,8,1,5,6,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[6,4,8,7,3,2,1,5] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[2,7,4,8,6,3,1,5] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[6,4,8,2,3,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,3,6,2,8,4,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,5,4,8,1,6,2,3] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[3,5,6,8,1,4,2,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[4,3,5,8,2,1,6,7] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[6,4,7,2,3,1,5,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,8,1,5,4,2,7,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,8,6,3,5,1,2,4] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,2,8,5,4,6,3,1] => [[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 3

[5,6,4,3,7,1,8,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,1,3,6,5,8,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 4

[5,1,2,4,6,7,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,1,1] => 6

[5,6,3,4,8,2,7,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[5,2,6,4,1,7,8,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[5,4,3,8,6,2,7,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[5,7,8,2,4,3,6,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[6,4,7,8,2,3,5,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[3,7,5,2,4,8,1,6] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[4,7,5,2,3,8,6,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[6,4,7,3,2,5,8,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[5,3,7,2,8,4,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[4,3,7,2,5,8,6,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[4,7,3,2,5,8,6,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,5,3,2,6,4,8,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[8,4,2,6,3,7,5,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[7,4,6,2,3,8,5,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,5,6,2,8,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[4,7,6,2,3,8,5,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,6,3,2,5,8,1,4] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,6,4,2,5,8,3,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[1,3,2,4,5,6,7,8,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [8,1] => 8

[1,4,2,3,5,6,7,8,9] => [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [8,1] => 8

[2,4,6,3,8,7,5,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,2,1,1,1] => 3

[2,4,3,6,8,7,1,5] => [[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [4,2,1,1] => 4

[2,4,6,3,8,7,1,5] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[2,4,6,5,8,7,1,3] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4

[2,4,6,8,5,7,1,3] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[2,4,6,8,3,7,1,5] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[2,4,6,8,1,7,3,5] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,4,6,5,8,3,7,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[2,4,6,5,8,1,7,3] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[2,4,6,8,7,3,5,1] => [[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [4,2,1,1] => 4

[2,4,6,8,7,1,3,5] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[2,4,6,8,5,1,3,7] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[2,4,6,5,1,8,3,7] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,4,6,5,3,8,1,7] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[2,4,6,5,8,3,1,7] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,1,1] => 4

[2,4,6,8,5,3,1,7] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,2,1,1] => 4

[2,4,6,8,7,5,1,3] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,2,1,1] => 4

[4,8,7,5,2,1,3,6] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[6,1,4,7,5,8,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[1,8,6,5,3,2,7,4] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,6,3,5,8,2,4,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[4,6,1,7,8,5,3,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[6,1,3,2,7,8,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[4,8,3,7,1,6,5,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[8,7,2,6,5,1,4,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,3,2,1,7,6,4] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,4,3,8,1,7,6,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,3,8,7,1,4,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[4,3,8,2,7,6,5,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[4,8,2,7,6,5,3,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[7,8,2,6,5,4,1,3] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[3,8,7,6,2,5,1,4] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[4,8,3,7,2,1,6,5] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[8,6,3,1,7,5,4,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[8,6,3,7,1,5,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,8,2,7,6,4,1,3] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[8,4,2,1,7,6,5,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[1,6,3,2,4,5,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[1,5,2,4,6,3,7,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,4,3,8,2,5,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[1,3,8,4,2,5,6,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,6,2,8,5,4,3,7] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[1,5,3,8,2,7,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,4,8,3,2,5,6,7] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[1,7,2,5,8,3,4,6] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[8,2,3,4,5,6,7,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [7,1,1] => 7

[2,9,3,4,5,6,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [7,1,1] => 7

[9,2,3,4,5,6,7,8,10,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,1,1] => 8

[6,2,3,5,8,1,7,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[5,2,4,8,1,6,7,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[2,6,4,5,7,3,1,8] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[2,5,6,3,4,7,1,8] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[1,3,7,5,6,8,4,2] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [5,1,1,1] => 5

[1,3,6,7,4,5,8,2] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [5,2,1] => 5

[1,5,3,6,4,2,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,5,3,7,4,6,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,5,7,3,6,4,8,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[2,3,6,4,1,8,7,5] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[7,4,5,2,1,8,6,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,7,5,2,1,8,6,3] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,3,6,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,5,7,3,1,2,8,6] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[4,5,1,8,3,2,7,6] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,7,4,6,3,2,1,8] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[3,6,1,2,4,8,7,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[7,5,2,3,1,8,6,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,3,1,2,4,8,7,5] => [[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 4

[4,7,5,2,3,6,1,8] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[8,2,6,5,4,1,3,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[2,3,1,7,8,5,6,4] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[3,7,8,5,1,4,2,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,5,3,8,2,1,6,7] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[8,7,1,6,5,2,3,4] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,5,3,7,8,2,6,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[1,5,4,7,3,6,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,7,3,6,8,4,5,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[4,6,8,2,7,3,5,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[7,8,3,6,1,5,4,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[2,5,7,8,4,6,1,3] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[3,7,5,6,2,1,4,8] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[7,5,6,3,8,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[8,5,4,2,1,6,7,3] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[2,6,8,4,7,5,1,3] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[5,8,2,7,3,6,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[1,6,5,7,3,8,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[1,5,6,8,4,2,7,3] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1] => 4

[7,5,4,1,8,2,6,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[6,4,1,8,2,7,5,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,8,5,3,2,6,1,4] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,2,5,1,7,6,4,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[3,4,2,7,8,6,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[2,4,7,8,6,1,3,5] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[4,6,2,5,3,1,7,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[4,1,5,6,3,2,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[2,6,7,5,4,1,3,8] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[1,7,5,6,4,3,2,8] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[7,6,5,3,1,8,4,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[7,8,6,4,3,1,5,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,1,7,8,6,5,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,1,1,1,1,1] => 3

[6,8,5,3,7,2,1,4] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[4,7,1,5,8,2,6,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[7,4,8,2,6,5,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[7,5,4,8,2,6,3,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,3,8,1,6,5,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[2,3,6,5,7,8,1,4] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => 5

[8,3,4,1,2,6,7,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[7,3,4,8,5,2,1,6] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[7,3,8,4,1,5,6,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[7,2,4,5,1,8,3,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[7,3,1,2,8,5,6,4] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[4,8,2,3,5,7,6,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [4,2,1,1] => 4

[6,7,4,8,5,3,2,1] => [[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,2,1,1,1,1] => 2

[4,3,5,6,1,7,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,1,2,8,5,7,6,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[2,6,4,5,8,1,3,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[6,4,1,3,5,8,2,7] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[2,4,7,5,8,1,3,6] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[3,1,6,4,8,7,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[3,7,6,2,1,5,8,4] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[4,2,6,1,3,7,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,5,4,2,7,6,3,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[2,8,4,6,7,1,3,5] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[8,4,6,1,2,5,7,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[5,6,2,8,7,1,3,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[7,8,1,4,3,5,6,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[2,6,7,1,3,5,8,4] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[3,6,7,1,8,2,5,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[3,4,1,8,7,2,6,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,1,5,7,2,8,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[3,8,1,4,7,2,6,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[4,8,1,3,2,7,6,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,1,8,3,2,7,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[4,3,8,1,2,7,6,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[2,8,4,3,7,6,1,5] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[3,2,4,8,7,1,6,5] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[3,2,5,7,1,8,6,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,8,3,1,7,6,5] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,2,8,1,3,7,6,5] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[2,3,4,6,8,7,1,5] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,2,1] => 5

[5,6,4,7,1,2,8,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[4,6,7,5,8,2,3,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[4,5,7,1,6,8,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[4,5,1,7,6,8,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,7,2,8,3,1,4,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[7,6,3,1,2,8,4,5] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[6,2,7,8,4,1,3,5] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[6,3,7,8,4,1,2,5] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[7,8,5,2,4,1,3,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,2,3,1,8,4,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,5,1,3,7,8,6] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[3,4,1,7,8,5,2,6] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,3,1,8,5,2,7,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[2,3,7,8,5,4,1,6] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [4,2,1,1] => 4

[8,3,5,6,1,7,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,5,8,1,2,6,7,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[7,2,4,1,3,8,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,6,8,2,3,7,5,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[6,7,2,3,4,8,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,5,2,4,6,7,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[4,2,6,3,5,7,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[1,4,8,5,6,2,7,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[7,2,8,4,5,1,6,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,6,2,4,1,5,7,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[1,6,4,3,2,7,8,5] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[8,5,3,2,1,6,7,4] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[6,7,5,3,8,2,1,4] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[2,4,7,8,5,1,3,6] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[2,5,3,8,4,1,6,7] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[2,4,8,3,5,7,1,6] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[8,1,7,2,4,3,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[1,3,8,2,4,7,5,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,3,7,2,4,6,5,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,8,3,7,4,2,5,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[8,7,3,1,4,2,5,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,8,4,3,5,7,1,6] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[3,2,8,7,4,1,5,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[3,2,1,7,4,6,5,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,2,6,5,1,7,8,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[5,3,2,6,7,1,8,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,4,6,2,7,3,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,3,8,6,7,2,1,5] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[4,3,6,2,8,7,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,2,7,8,6,4,5,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[3,2,7,5,6,8,4,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[5,7,8,6,3,2,4,1] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,1,1,1] => 3

[6,5,4,2,1,7,8,3] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[5,4,2,1,7,6,3,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[4,1,6,5,2,7,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[5,1,3,7,2,6,4,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,1,6,7,2,4,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,1,4,8,2,7,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,1,7,6,5,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[7,6,1,5,2,4,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[1,6,7,3,5,4,8,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[1,7,8,3,6,4,5,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[1,8,7,6,4,5,2,3] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[2,8,5,7,6,4,1,3] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[7,4,5,1,6,8,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[5,6,7,4,3,1,8,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[6,7,8,5,3,1,4,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[1,6,8,2,5,4,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[1,2,6,4,3,5,7,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1] => 6

[1,6,8,2,7,5,4,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[1,7,4,3,2,6,8,5] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[1,7,6,2,8,4,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,5,2,8,4,3,7,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,7,3,5,2,8,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,7,6,4,8,2,5,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,4,8,6,5,2,7,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[1,7,6,3,8,2,4,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[1,2,4,3,8,7,5,6] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[1,4,3,8,7,2,5,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,3,8,6,2,4,5,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,7,2,4,8,6,5,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [4,1,1,1,1] => 4

[1,6,5,3,2,8,7,4] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,3,2,8,7,5,4,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[1,2,8,6,5,4,3,7] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [4,1,1,1,1] => 4

[8,1,3,4,6,5,2,7] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[5,8,3,1,2,6,4,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[4,8,1,7,5,2,3,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,8,1,7,5,2,6,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,5,1,4,2,6,3,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,4,1,3,5,6,2,7] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,5,3,2,1,6,4,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,5,2,4,1,6,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,8,7,1,5,2,6,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,6,8,4,1,3,2,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,6,8,4,1,3,5,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[3,8,7,5,4,1,2,6] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[4,8,2,7,5,1,3,6] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[7,6,8,4,1,5,2,3] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,6,1,5,2,3,4] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,1,6,5,3,4,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[8,6,5,1,3,4,7,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[8,7,5,1,3,6,2,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,6,1,3,5,4,7,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[7,1,4,8,3,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[7,3,8,2,5,4,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,4,2,5,3,7,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[4,8,1,5,3,7,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[7,4,8,2,6,3,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[7,4,8,2,6,3,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,7,3,1,6,4,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,3,1,6,4,5,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[8,7,3,1,4,6,5,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[8,4,3,2,7,5,6,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[6,4,1,7,8,5,3,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[7,6,3,4,1,8,5,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,7,3,1,6,2,5,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,8,6,4,2,5,1,3] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,8,2,4,6,5,1,3] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[8,1,7,3,5,6,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,7,5,2,4,6,1,3] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,7,3,2,6,1,5,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[5,3,1,7,6,4,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,5,3,2,1,6,4,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,6,5,3,1,4,2,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[1,8,6,4,3,2,7,5] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,8,7,6,4,2,5,3] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,4,8,6,7,5,3,2] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [4,1,1,1,1] => 4

[7,6,2,5,8,4,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[1,7,3,6,8,5,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [4,1,1,1,1] => 4

[8,6,2,5,7,4,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[7,1,3,6,8,5,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,1,1,1,1] => 4

[1,8,3,6,7,5,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [4,1,1,1,1] => 4

[8,1,7,6,4,5,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[7,1,8,6,4,5,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[1,6,2,7,4,5,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[1,7,2,5,4,6,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [4,2,1,1] => 4

[6,5,7,2,8,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,5,7,2,8,1,4,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,2,7,5,8,1,4,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,5,7,3,8,1,4,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,3,7,4,8,2,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[6,3,7,4,8,1,5,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,2,7,4,8,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,7,6,4,2,5,3,1] => [[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 2

[7,2,1,5,3,8,6,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,8,2,7,6,1,3,4] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[8,2,3,6,7,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[4,2,3,1,5,8,6,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,6,5,4,3,2,1,7,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[3,1,2,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[9,7,6,5,4,3,2,1,8,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[2,4,8,7,5,3,1,6] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [3,2,1,1,1] => 3

[2,6,8,7,5,3,4,1] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [3,2,1,1,1] => 3

[2,6,5,1,4,3,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,6,5,3,1,2,8,7] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[4,8,7,5,3,1,2,6] => [[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [3,2,1,1,1] => 3

[6,8,7,5,3,1,4,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,5,6,3,1,4,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,1,4,8,7,3,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[4,8,7,3,1,2,6,5] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[8,7,3,4,1,2,6,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,7,3,1,6,5,2,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,3,2,6,5,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[2,8,7,3,4,6,5,1] => [[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [4,1,1,1,1] => 4

[2,8,7,3,6,5,1,4] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[8,7,1,2,6,5,3,4] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[8,7,5,1,2,4,3,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[2,8,7,1,4,3,6,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,4,8,7,3,1,6,5] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[2,8,7,3,1,4,6,5] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[2,8,7,5,3,1,6,4] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,7,5,3,6,4,1] => [[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [3,1,1,1,1,1] => 3

[2,6,8,7,5,1,4,3] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[6,8,7,5,1,2,4,3] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[8,7,5,6,1,2,4,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[2,4,8,7,3,6,5,1] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [3,2,1,1,1] => 3

[8,7,2,4,3,6,5,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[4,8,7,1,2,6,5,3] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[8,7,5,3,1,2,6,4] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[8,7,5,3,6,4,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,7,3,4,1,6,5,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,1,2,3,5,4,6,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[7,1,2,6,4,5,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[7,1,2,4,3,5,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[4,7,3,6,5,1,2,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[7,5,4,2,8,3,1,6] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[3,1,6,8,5,7,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,2,8,6,4,3,1,5] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[6,3,8,7,4,2,1,5] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[7,6,3,2,8,4,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,6,1,3,2,4,5,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[5,8,3,7,4,2,1,6] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[5,4,8,1,3,2,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,5,8,2,1,3,6,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[8,1,3,5,2,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[1,8,3,5,7,2,4,6] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[8,1,4,2,7,6,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[1,3,4,5,6,7,8,2,9] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [7,2] => 7

[1,3,4,5,6,7,8,10,2,9] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [8,2] => 8

[1,3,4,5,6,7,8,9,2,10] => [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [8,2] => 8

[1,5,7,3,6,8,2,4] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[8,4,6,2,5,7,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[1,3,4,7,6,8,2,5] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1] => 5

[3,1,4,7,6,8,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[4,1,3,7,6,8,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[5,1,7,3,6,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,8,6,2,4,7,1,3] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[3,8,2,6,5,7,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[8,7,1,6,4,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[1,8,2,7,5,4,3,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[3,8,1,7,5,4,2,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[6,7,1,2,8,4,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[8,2,1,7,5,4,3,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[1,3,2,8,6,5,4,7] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[3,4,1,7,6,8,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,5,7,1,8,4,3,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,5,7,1,6,8,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,5,7,6,1,8,2,3] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[5,4,7,6,8,3,1,2] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[8,3,7,5,6,2,1,4] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[2,4,8,6,7,3,1,5] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,1,1] => 4

[8,2,7,6,4,3,1,5] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[8,1,7,6,4,3,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[4,8,7,5,6,2,1,3] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[1,3,9,8,7,6,5,4,2] => [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [3,1,1,1,1,1,1] => 3

[8,1,7,2,5,6,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[8,1,3,5,2,7,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[2,7,1,5,4,8,6,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[8,6,2,4,3,7,5,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[2,4,1,6,7,5,8,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[8,1,4,7,6,2,5,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[2,5,1,7,8,6,4,3] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[3,5,6,2,8,7,4,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[2,4,5,1,7,6,3,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[7,3,1,5,6,4,2,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,4,5,3,7,6,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[3,4,5,6,2,8,1,7] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[7,3,4,1,6,8,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,6,3,1,4,7,5,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[7,3,4,1,6,5,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,7,4,2,5,8,6,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[2,3,5,1,4,8,7,6] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[2,7,1,3,6,8,5,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[2,7,1,3,8,4,6,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[3,8,7,1,6,2,5,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,8,7,1,4,5,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,7,4,2,1,8,6,5] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,5,7,3,2,6,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[8,3,7,2,4,1,5,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,6,7,2,1,4,3,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,7,5,1,2,6,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,3,4,6,2,1,5,8] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[3,7,4,6,1,5,2,8] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,4,7,6,1,2,8,5] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[4,5,8,7,6,1,3,2] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[8,7,3,5,6,1,4,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,5,2,7,6,1,3,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,4,7,2,1,5,8,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,4,2,5,1,6,7,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[8,5,3,1,6,4,7,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[8,7,3,1,4,5,6,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[8,5,3,7,1,6,4,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,3,8,1,4,2,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,8,2,6,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,5,3,1,6,4,2,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,5,1,2,6,3,4] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,6,4,1,2,7,5,3] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[8,7,4,1,2,5,3,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[1,6,3,8,4,2,5,7] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[4,7,2,5,3,6,1,8] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[1,8,3,4,5,2,6,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[1,8,6,4,2,5,3,7] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[8,2,6,4,1,5,7,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,7,5,3,1,6,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,1,4,8,3,2,5,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,1,8,5,3,2,6,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,2,7,4,3,5,6,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [6,1,1] => 6

[6,8,2,5,1,4,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,2,8,6,5,1,4,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[7,4,8,6,1,5,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,7,2,6,1,4,5,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,6,3,1,2,5,4,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,5,3,1,2,4,7,6] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[8,2,1,6,5,3,4,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[3,8,1,5,6,2,4,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,2,8,1,6,4,5,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,2,1,3,7,6,4,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[5,8,4,1,2,3,7,6] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[7,1,2,5,3,4,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[1,8,6,3,2,7,4,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,5,3,7,2,8,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,2,5,7,4,6,8,3] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [5,2,1] => 5

[3,5,8,6,1,7,2,4] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,3,7,1,8,6,4,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,6,1,7,8,5,3,4] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[1,6,8,5,4,2,7,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[6,5,8,4,2,1,7,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[1,7,8,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [3,2,1,1,1] => 3

[4,2,8,5,6,3,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[5,3,7,2,6,8,4,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[5,7,2,3,4,6,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[1,8,7,3,2,5,6,4] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[5,7,1,2,3,8,6,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[7,8,6,2,4,1,5,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,2,8,4,6,1,5,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,4,6,2,8,1,5,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,1,5,8,2,3,6,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[7,6,4,8,2,1,5,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,1,8,4,2,3,5,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,3,6,2,1,8,5,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,8,6,4,2,5,7,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[5,1,6,4,3,8,7,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[5,4,6,8,1,3,7,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[3,7,1,6,4,5,8,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[3,5,2,1,4,6,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[1,3,8,7,5,4,6,2] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [4,1,1,1,1] => 4

[1,3,5,7,9,10,8,6,4,2] => [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [6,1,1,1,1] => 6

[6,7,3,4,8,5,1,2] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[4,1,5,7,3,2,8,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[6,4,1,7,2,8,5,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,3,1,6,2,8,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[4,8,2,5,3,1,6,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,1,3,4,8,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[6,1,4,5,7,8,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[6,3,4,7,1,8,5,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,1,3,4,5,6,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,1,1] => 6

[8,5,2,7,6,3,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[1,8,3,5,6,2,7,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[8,3,2,5,6,1,7,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,2,5,1,6,8,7,3] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[6,8,7,2,1,3,4,5] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[3,7,6,8,5,2,4,1] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [3,2,1,1,1] => 3

[7,6,2,4,8,1,5,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,3,2,8,7,1,6,5] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[4,8,3,1,7,6,5,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,3,8,7,1,6,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,8,7,3,1,6,4,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,8,2,1,7,6,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,4,1,8,6,5,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[5,4,2,8,1,7,6,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,8,4,2,1,7,6,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,8,4,7,1,6,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,4,8,3,1,7,6,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,5,6,1,4,7,2,3] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,6,7,5,8,1,2,4] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[1,6,7,5,8,3,2,4] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[5,2,1,6,8,4,7,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[6,5,8,7,4,2,3,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[6,8,5,7,4,2,1,3] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[2,7,5,3,6,4,8,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[2,7,5,6,8,3,1,4] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[8,7,5,3,1,4,6,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[2,7,5,3,1,4,8,6] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[6,1,7,2,8,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,7,8,3,1,5,4,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,4,6,7,8,5,1,3] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,2,1] => 5

[2,4,6,7,8,3,1,5] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,2,1] => 5

[5,8,7,3,2,4,1,6] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[4,6,5,8,7,3,1,2] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[8,3,1,7,2,6,4,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,5,1,2,8,7,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[5,6,1,2,8,3,7,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,8,7,1,6,2,4,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,5,6,1,7,2,4,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,5,6,1,3,8,4,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,7,6,1,3,8,4,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[6,7,1,4,2,8,5,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[2,1,6,4,8,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,4,5,1,3,8,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[1,5,7,8,4,2,3,6] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[1,3,6,4,2,5,7,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,4,5,7,8,3,6,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [5,2,1] => 5

[1,5,7,8,3,6,2,4] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[6,8,4,7,3,2,1,5] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[6,8,5,4,2,7,1,3] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,4,8,5,3,2,1,7] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[3,5,6,1,4,2,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[1,6,3,8,4,2,7,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[2,6,5,7,8,3,1,4] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[4,1,8,2,6,7,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[2,5,6,3,4,8,1,7] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[5,2,4,7,8,6,1,3] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[8,1,6,2,3,4,7,5] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[1,8,3,4,5,2,7,6] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,8,3,6,4,7,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[1,4,6,7,8,3,5,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [5,2,1] => 5

[5,8,7,4,6,2,3,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,4,8,1,5,7,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[1,6,8,3,5,2,7,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[2,4,7,8,5,6,1,3] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[2,6,3,8,5,1,7,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[4,3,6,5,1,8,2,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,5,6,8,7,3,2,4] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [4,2,1,1] => 4

[8,1,4,5,7,3,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[1,8,4,7,6,2,3,5] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[7,2,3,8,4,5,6,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[6,5,1,8,7,2,4,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[5,8,4,3,7,2,1,6] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[6,1,2,8,7,3,4,5] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[4,5,1,7,6,2,8,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[6,5,1,8,7,4,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[7,5,1,8,6,4,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[8,5,1,7,6,4,3,2] => [[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 2

[8,5,3,7,6,1,4,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[3,8,7,6,1,5,4,2] => [[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,3,7,5,4,1,6,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[3,4,8,1,5,2,6,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[8,6,5,7,1,3,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[3,1,8,5,7,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,8,5,3,4,2,1,7] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[8,5,2,6,4,3,1,7] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,5,2,6,1,4,7,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,7,5,8,1,4,6,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[3,2,6,7,1,8,5,4] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,4,6,7,8,2,1,5] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,2,1] => 5

[6,7,1,3,8,5,4,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[6,7,1,8,5,2,4,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,2,6,7,8,5,3,4] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [5,2,1] => 5

[1,6,7,4,8,3,2,5] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[1,4,6,7,8,3,2,5] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [5,2,1] => 5

[8,7,2,1,5,4,6,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[7,6,5,2,4,1,8,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,4,3,1,5,8,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[2,8,6,1,4,5,7,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[3,5,7,9,1,2,4,6,8,10] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[4,1,2,3,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[5,1,2,3,4,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[8,1,2,3,4,5,6,7,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[7,1,2,3,4,5,6,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[6,1,2,3,4,5,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 9

[4,7,1,8,6,5,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[4,3,6,8,7,2,5,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[4,1,8,3,5,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,2,8,3,5,1,7,6] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,8,1,5,2,4,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[7,5,6,4,1,3,2,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,3,2,1,4,6,5,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,6,1,4,3,2,5,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,4,1,3,5,6,2,8] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[2,7,1,3,5,6,8,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[2,3,6,1,5,8,7,4] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[3,4,7,1,5,6,8,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[3,6,7,4,1,2,8,5] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[4,3,2,7,1,6,8,5] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,3,2,8,1,6,4,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,8,1,5,6,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[2,6,8,1,5,3,7,4] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[4,5,8,2,3,6,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[2,4,8,5,3,6,7,1] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [4,2,1,1] => 4

[5,3,2,6,4,8,7,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[2,4,5,3,8,6,7,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[4,3,5,2,8,6,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[4,1,2,7,5,6,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[2,5,7,4,6,8,3,1] => [[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [4,2,1,1] => 4

[7,5,2,4,3,8,6,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[6,8,1,2,5,4,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[6,4,1,8,5,2,7,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[3,7,6,4,8,5,2,1] => [[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [3,1,1,1,1,1] => 3

[2,3,5,8,4,6,7,1] => [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [5,2,1] => 5

[5,3,4,8,2,6,7,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[6,1,8,3,5,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[5,4,8,3,2,6,7,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[5,8,2,3,4,6,7,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [5,2,1] => 5

[6,2,1,7,8,5,4,3] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[7,4,6,8,3,2,5,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[1,5,7,6,3,2,8,4] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[8,4,6,7,3,2,5,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[8,4,6,2,3,1,5,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,5,2,1,4,3,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[3,4,5,2,1,8,6,7] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[7,6,4,8,3,1,2,5] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[6,2,8,5,1,3,4,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[3,2,7,8,6,1,4,5] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[6,8,2,5,1,3,7,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,7,4,1,3,6,2,8] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,7,5,1,8,3,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,5,4,6,3,8,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[5,4,8,1,7,3,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,3,8,6,2,1,7,5] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,6,2,4,1,7,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,8,3,2,4,6,5,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,2,8,5,3,1,6,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,2,8,7,3,1,5] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[3,6,8,1,7,4,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[7,8,6,3,1,4,5,2] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,6,2,8,5,1,3,4] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[4,7,8,5,6,2,3,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[2,7,8,5,6,1,4,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[6,7,8,4,2,1,5,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[4,7,8,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[8,6,4,1,2,5,7,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[6,7,8,3,5,4,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1] => 3

[6,7,8,2,1,5,3,4] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,6,3,2,7,4,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[2,6,4,3,7,5,8,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[7,2,3,6,1,8,4,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,4,6,5,7,1,2,8] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[8,5,7,2,4,1,6,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,4,8,2,1,5,6,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[2,3,6,7,8,5,1,4] => [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,2,1] => 5

[8,3,7,1,6,4,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,2,1,7,6,5,3,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,7,4,1,6,8,2,3] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,6,8,1,3,7,2,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,7,4,8,6,1,2,5] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[5,8,1,6,7,4,2,3] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,1,6,8,7,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[4,7,2,8,5,3,1,6] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[8,7,1,4,6,3,2,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[1,4,7,5,8,6,3,2] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [4,1,1,1,1] => 4

[6,1,8,3,4,7,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[1,8,6,3,5,2,7,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[4,7,1,6,8,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,4,8,7,5,2,6,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[1,5,6,4,2,3,7,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[1,8,7,3,2,5,4,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,5,2,4,7,3,8,6] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[8,5,3,2,1,4,7,6] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[1,6,3,2,5,7,8,4] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [5,1,1,1] => 5

[1,2,5,8,4,6,3,7] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[1,5,3,2,7,8,4,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,8,5,7,6,3,2,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[1,4,7,3,6,8,5,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1] => 4

[1,2,7,6,8,4,5,3] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [4,2,1,1] => 4

[1,8,4,7,5,3,2,6] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[6,8,5,2,1,7,4,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,7,2,6,4,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,4,2,7,1,6,3,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,6,3,2,8,1,7,5] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,7,6,1,5,3,2,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,6,1,4,3,5,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[8,7,6,1,3,5,4,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[8,7,6,1,5,4,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,6,2,7,1,5,3,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,3,7,2,8,1,6,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,3,5,4,2,1,6,7] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[8,7,6,1,2,5,3,4] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[8,7,6,1,2,5,4,3] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[8,7,6,1,4,2,5,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[4,7,5,8,6,1,3,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[6,5,7,3,8,4,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,7,5,4,1,2,6,3] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[8,6,7,1,5,3,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,7,1,3,4,2,8,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[1,5,3,7,8,4,6,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[1,5,7,3,8,2,6,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[1,3,7,5,8,6,2,4] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[3,7,5,8,4,1,2,6] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[3,1,2,7,5,8,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[3,7,1,2,8,5,6,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[5,3,1,7,4,6,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[2,4,7,3,5,6,1,8] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[5,7,6,4,2,3,1,8] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,4,8,2,5,6,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,1,4,8,5,2,7,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,4,5,8,1,6,7,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[3,1,6,8,5,2,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[2,3,8,1,5,6,4,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[5,4,8,1,2,6,7,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[5,2,3,8,1,7,4,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[1,5,3,8,2,4,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[8,6,2,7,5,1,4,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,7,1,8,6,3,5,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,7,6,1,3,2,8,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,7,5,3,6,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[8,6,5,3,7,4,2,1] => [[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 2

[3,5,4,6,1,7,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[8,1,5,4,6,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[2,7,1,5,6,4,3,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[8,4,6,3,1,7,2,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,2,7,5,4,3,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[5,4,7,2,8,6,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,5,6,4,1,7,2,8] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,5,6,1,7,4,3,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,7,1,8,6,5,4,3] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[3,7,6,1,8,5,4,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,6,4,2,1,3,5,7,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[9,7,5,3,1,2,4,6,8] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[10,8,6,4,2,1,3,5,7,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,1,1,1,1,1] => 5

[6,2,8,3,1,4,5,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[2,7,8,3,1,4,5,6] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[9,7,5,3,1,2,4,6,8,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,1,1,1,1] => 6

[1,5,3,2,8,6,7,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[1,8,5,3,2,6,7,4] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[1,5,6,7,3,2,8,4] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1] => 4

[1,6,7,8,3,2,4,5] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[1,4,8,6,2,3,5,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,8,4,5,6,7,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[1,8,6,7,4,2,3,5] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,6,7,8,4,2,3,5] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[1,6,7,8,3,4,2,5] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[1,7,8,4,2,3,5,6] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[1,7,3,5,6,2,8,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,2,7,4,6,3,8,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[1,7,8,3,4,5,2,6] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[1,8,4,5,6,2,3,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[5,8,2,7,3,4,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,8,7,2,3,4,1,5] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[3,8,7,5,2,6,1,4] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[4,8,7,3,2,5,1,6] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,3,8,1,6,7,4,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[5,1,8,3,6,7,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[3,1,8,4,6,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[1,8,7,6,4,3,5,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [3,1,1,1,1,1] => 3

[6,1,8,7,5,3,4,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[2,3,7,5,6,8,4,1] => [[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [5,1,1,1] => 5

[4,8,7,6,3,1,5,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,5,2,8,4,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[3,2,7,5,4,8,6,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[3,7,5,2,4,8,6,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,4,7,6,8,2,5,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,2,1,1] => 4

[5,2,8,4,1,3,6,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[3,8,5,2,1,4,6,7] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[7,6,4,1,8,2,5,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,5,4,2,1,6,3,8] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,1,6,7,3,4,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,2,1,6,7,4,3,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[7,6,8,1,2,5,4,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[5,7,1,2,6,8,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[1,5,2,3,6,8,7,4] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [5,1,1,1] => 5

[3,5,7,4,1,8,2,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[8,6,4,7,5,1,2,3] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[2,8,4,3,1,6,5,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[3,8,4,6,1,5,2,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[8,3,5,6,1,4,7,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[6,8,7,3,5,4,2,1] => [[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[3,1,2,8,5,7,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[7,3,1,2,5,8,4,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,3,5,7,2,1,4,6] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[2,1,3,8,5,7,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[2,1,4,7,6,3,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[5,4,1,6,3,7,8,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[4,5,1,3,6,7,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[5,1,7,6,3,4,8,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[3,7,2,1,6,8,4,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,8,6,5,7,2,4,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[6,8,1,4,7,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,6,8,2,7,4,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[5,7,1,6,8,3,2,4] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[8,2,5,6,7,1,4,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[6,2,4,7,8,1,3,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[2,7,4,8,6,1,5,3] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[2,4,8,6,5,7,3,1] => [[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [4,1,1,1,1] => 4

[2,3,7,6,5,1,4,8] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[4,2,8,5,1,6,3,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,8,1,4,2,3,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,3,8,4,1,6,5,7] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[4,5,7,3,1,6,2,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,1,8,7,4,6,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[2,4,8,7,5,1,3,6] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[3,5,7,6,1,8,4,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[1,5,3,2,8,7,6,4] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[6,1,4,3,8,7,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[6,3,1,8,7,4,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[5,3,6,2,8,7,4,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[6,3,5,2,1,8,7,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,8,4,1,3,7,6,5] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[3,8,1,4,7,6,5,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[3,4,7,5,8,1,2,6] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[2,7,8,3,4,1,5,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[7,2,6,8,1,4,3,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,3,6,2,8,4,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,1,6,3,7,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,4,3,7,1,8,6,5] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,1,7,4,2,5,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[5,3,8,2,7,1,6,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,1,5,2,6,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[6,7,1,8,3,4,5,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[3,7,1,6,8,4,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[3,8,5,2,6,7,1,4] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[3,7,1,6,5,2,8,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,3,5,2,7,1,6,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,1,8,4,6,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[3,7,1,4,8,6,5,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[3,7,1,4,5,2,8,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,3,7,6,5,8,1,4] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[4,3,5,6,7,8,9,1,2] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[3,5,7,6,8,2,1,4] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1] => 4

[1,3,6,4,7,5,2,8] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[7,3,6,2,5,4,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,3,8,2,5,4,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,3,7,2,5,4,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,2,5,4,1,6,3,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,2,6,4,1,5,3,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,7,2,6,4,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,3,7,4,8,5,2,6] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[1,3,6,4,8,5,2,7] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[1,3,5,4,8,6,2,7] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[4,2,5,3,1,7,6,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,2,4,3,1,7,5,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,4,3,1,6,5,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,5,2,4,7,6,3,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[7,2,5,3,1,6,4,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,2,5,3,1,7,4,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,6,3,1,7,5,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,2,6,4,1,7,5,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,2,7,4,1,6,5,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,2,7,3,1,6,5,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,2,7,3,1,6,4,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,2,7,3,1,5,4,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,6,3,1,5,4,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,5,2,4,8,6,3,7] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[6,2,1,5,3,7,4,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,2,1,6,4,7,5,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[3,2,8,5,1,6,4,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,2,8,4,1,5,3,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,7,4,1,5,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,5,2,4,8,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[1,5,2,8,7,4,3,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[5,7,2,8,1,4,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,2,7,1,4,3,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,1,5,3,2,6,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[8,7,6,5,3,2,1,4,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[8,7,6,4,3,2,1,5,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[8,7,5,4,3,2,1,6,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[8,7,6,5,4,1,2,3,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,1,1,1,1,1] => 4

[9,8,7,6,5,4,2,1,3,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[9,8,7,6,5,3,2,1,4,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[9,8,7,6,4,3,2,1,5,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[9,8,7,5,4,3,2,1,6,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[9,8,6,5,4,3,2,1,7,10] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[8,6,2,3,1,5,7,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[3,2,1,7,8,5,4,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,1,6,4,7,8,5,3] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[1,2,3,7,5,8,4,6] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [5,2,1] => 5

[4,7,8,1,5,6,2,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,6,7,1,8,4,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[1,3,7,6,2,4,5,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[7,1,4,3,8,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[7,2,5,8,1,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,4,8,1,5,7,2,3] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,7,4,1,3,6,8,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[6,2,1,4,7,5,8,3] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[6,8,7,9,5,4,3,2,1] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [3,1,1,1,1,1,1] => 3

[2,8,7,6,5,4,3,9,1] => [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [3,1,1,1,1,1,1] => 3

[1,7,2,8,6,3,5,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[8,4,2,3,7,1,6,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[3,2,4,6,7,8,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[4,8,1,6,3,7,5,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[7,1,5,2,6,4,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[8,3,5,2,6,1,4,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[1,8,5,6,2,7,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[4,2,7,6,1,8,5,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,3,2,1,8,5,4,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,3,2,1,6,4,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[4,3,2,8,1,6,7,5] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,4,7,8,2,3,6,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[4,3,8,2,1,6,7,5] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[3,6,7,4,5,2,8,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[3,5,7,4,6,2,8,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[4,6,7,2,5,3,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[6,4,7,8,3,1,5,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[5,8,1,7,6,4,2,3] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,6,7,1,8,3,4,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[7,1,8,6,2,5,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[8,5,1,7,6,4,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[1,5,8,2,6,4,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[1,4,7,5,6,8,3,2] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => [5,1,1,1] => 5

[8,1,2,6,4,5,7,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[2,6,7,1,5,4,8,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[1,7,3,4,5,8,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[6,1,8,4,5,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,6,2,5,1,8,7,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,1,4,6,2,8,7,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[7,3,5,2,1,6,8,4] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[1,5,8,7,4,6,3,2] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [3,2,1,1,1] => 3

[7,4,8,6,5,1,3,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[2,7,6,8,5,1,4,3] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[7,1,6,8,5,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[3,5,8,7,6,4,1,2] => [[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [3,2,1,1,1] => 3

[6,8,2,7,5,4,3,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[5,8,1,7,6,4,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[2,3,4,5,8,9,1,6,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[8,6,3,2,1,5,4,7] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,5,3,2,4,1,7,6] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,1,4,6,3,2,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,4,3,6,1,5,2,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,3,5,2,1,7,6] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,3,2,8,7,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,5,4,2,1,3,7,6] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[4,7,3,6,1,8,5,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[7,6,2,4,1,5,8,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,3,8,2,6,7,1,4] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,2,5,1,7,6,3,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,3,6,2,4,5,8,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[7,6,4,1,3,2,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,3,8,2,1,5,6,4] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,2,5,7,4,3,8,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[7,2,4,8,5,1,6,3] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[7,1,6,2,8,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[7,2,8,5,1,3,6,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,1,8,5,3,2,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[7,1,8,2,5,6,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[6,1,5,8,7,2,4,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[6,1,5,7,4,8,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[4,6,7,3,1,8,5,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,6,3,1,8,7,5] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,1,4,2,5,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[1,5,3,8,4,6,2,7] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[7,2,3,5,8,4,1,6] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[7,6,4,2,8,5,1,3] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[1,7,6,4,8,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [3,1,1,1,1,1] => 3

[8,7,4,2,1,5,6,3] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[8,2,3,5,1,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[8,7,4,1,3,2,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,1,4,8,3,6,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[3,7,5,8,4,2,1,6] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[6,1,5,8,3,4,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,2,6,1,7,3,4,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,8,4,5,1,3,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[1,5,8,3,6,4,7,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[6,3,8,1,4,2,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,8,1,5,6,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,8,2,6,5,3,7,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[3,8,1,7,2,6,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[7,3,8,1,2,6,5,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[8,1,4,2,3,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[5,1,8,3,7,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[8,3,7,1,5,4,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,4,7,1,5,3,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,2,5,3,4,6,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[7,6,4,2,5,3,1,8] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[1,7,2,6,3,4,8,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[7,5,1,6,3,2,4,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,1,2,6,3,4,5,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[7,3,1,4,6,2,5,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,1,6,5,4,2,3,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[3,6,8,5,2,4,7,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1] => 3

[1,3,8,4,7,2,6,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[6,7,1,3,2,8,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[1,5,3,2,6,8,4,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[5,4,3,1,7,2,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[3,7,6,5,8,2,4,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[5,7,4,2,8,6,1,3] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,8,5,7,6,2,4,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[2,6,3,7,1,4,5,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[7,6,8,4,3,1,5,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[1,7,6,5,3,2,4,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[2,7,6,5,4,1,3,8] => [[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [3,2,1,1,1] => 3

[6,2,3,5,8,4,1,7] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[9,8,7,6,5,4,2,3,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,1,1,1,1,1,1,1] => 2

[6,8,7,1,5,4,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,7,4,6,5,1,3,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,2,6,1,5,8,3,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,7,2,8,5,4,3,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[8,2,7,3,4,5,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[8,6,1,3,4,5,7,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[8,5,1,2,4,6,7,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[2,6,8,7,3,4,5,1] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [4,2,1,1] => 4

[1,7,8,5,6,4,2,3] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[8,1,3,2,4,6,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[8,1,5,6,4,2,3,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[8,1,6,5,4,3,2,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 3

[2,6,8,1,5,4,3,7] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,5,8,2,1,4,7,6] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[4,2,8,5,3,7,6,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[4,2,7,5,3,8,6,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[6,4,5,1,8,3,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,4,7,8,3,1,2,6] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[4,5,8,1,3,7,2,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[7,6,2,8,1,4,3,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,3,8,5,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[3,1,5,8,7,6,2,4] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[1,2,7,6,4,5,8,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [5,1,1,1] => 5

[7,2,6,5,1,8,3,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,2,1,8,7,3,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[4,7,3,2,5,1,6,8] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,2,5,3,8,4,6,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[7,5,6,1,8,3,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,5,1,4,6,8,2,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[8,5,7,4,2,1,3,6] => [[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [3,2,1,1,1] => 3

[4,6,2,7,5,8,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[7,8,1,4,2,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[8,5,2,4,1,3,7,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[5,1,2,4,3,6,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[8,6,2,7,5,3,1,4] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[4,3,8,1,5,2,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,8,1,6,5,2,4,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,7,8,6,5,1,2,4] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[8,4,5,7,2,6,3,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[6,5,8,2,7,3,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,4,8,2,7,3,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,8,1,3,6,4,2,5] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[4,5,7,8,3,2,1,6] => [[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,2,1,1] => 4

[5,4,7,3,2,8,1,6] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,4,3,8,5,1,2,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,4,8,2,3,5,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,6,8,4,1,2,3,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[6,4,8,5,1,2,3,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[7,4,8,3,1,2,5,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,4,7,8,2,1,3,6] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[5,8,6,3,1,2,4,7] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[6,8,5,2,1,3,4,7] => [[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [4,2,1,1] => 4

[5,6,1,3,2,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,3,7,2,1,8,6,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,6,8,5,2,1,7,4] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[6,1,5,4,7,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[5,4,8,3,2,7,1,6] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,3,7,2,1,6,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[5,4,3,7,8,2,1,6] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[1,4,8,6,3,2,7,5] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[4,1,8,6,2,5,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,7,2,5,3,8,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[2,6,3,1,5,8,7,4] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[7,1,3,2,6,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[6,1,3,5,8,7,4,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [4,1,1,1,1] => 4

[6,8,5,7,3,4,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[5,1,6,8,4,7,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[2,4,1,8,7,6,3,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[1,3,5,8,4,7,2,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[2,3,8,7,5,1,6,4] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[8,5,4,7,6,1,3,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,8,5,1,7,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,2,3,5,6,1,4,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[4,3,5,6,8,2,7,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[8,2,3,4,6,1,7,5] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[1,7,4,3,5,2,8,6] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[2,7,4,3,8,1,5,6] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[3,8,2,7,6,4,1,5] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[5,3,6,2,1,8,4,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,3,8,6,2,7,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,1,6,8,2,7,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[5,3,8,6,7,2,1,4] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[5,8,7,2,4,6,1,3] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[1,5,2,8,7,6,4,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [3,1,1,1,1,1] => 3

[2,7,1,4,6,5,3,8] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[4,7,1,2,6,5,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[6,5,8,3,7,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[8,2,5,1,6,3,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,4,5,1,6,7,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[7,8,1,3,5,4,6,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[3,5,7,6,4,8,1,2] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[1,5,7,6,8,3,4,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1] => 4

[5,2,4,1,8,3,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,4,8,2,3,6,5,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,4,6,7,3,5,2,8] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[1,7,3,2,4,5,6,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[1,6,4,3,2,5,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[4,2,6,5,3,1,7,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[1,2,3,7,5,4,6,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [6,1,1] => 6

[2,8,6,3,5,7,4,1] => [[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [4,1,1,1,1] => 4

[6,1,8,2,5,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[3,1,2,4,8,6,7,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 5

[6,5,2,1,8,4,7,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[5,6,2,4,3,8,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,1,4,7,3,2,8,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[2,3,5,4,8,6,1,7] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4

[2,3,6,4,7,5,1,8] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4

[2,3,5,7,4,8,1,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[2,3,7,6,1,5,8,4] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[8,3,2,4,1,7,6,5] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,7,6,1,2,5,8,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[4,7,1,6,8,5,3,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[4,1,5,8,6,2,3,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[5,3,4,6,2,8,7,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[5,4,8,6,3,7,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,7,3,4,8,2,6,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[6,5,2,3,1,8,7,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,3,7,4,1,2,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,4,7,5,3,8,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,7,4,8,3,1,6,2] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[4,3,5,1,8,7,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[2,5,3,6,1,8,4,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[2,5,6,8,3,1,7,4] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[7,1,4,5,3,6,2,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[1,7,2,4,5,3,6,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,7,4,5,3,2,6,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,6,4,7,3,5,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[3,5,6,4,8,2,1,7] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[1,6,4,7,5,2,3,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[8,5,6,1,4,3,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,5,4,7,8,3,1,6] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[7,5,8,1,4,6,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[4,2,6,7,8,1,5,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,4,6,7,8,1,5,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[4,8,5,3,2,6,1,7] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,8,4,5,3,6,1,7] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[8,6,1,3,2,7,4,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,3,8,2,4,1,6,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,2,3,7,8,1,5,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[6,3,7,8,1,5,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[2,6,3,7,8,1,5,4] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[7,5,8,1,6,4,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,1,4,3,7,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[1,4,8,5,3,2,6,7] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[8,2,7,6,4,1,5,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[2,7,4,3,8,5,1,6] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[8,2,6,3,4,1,7,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,1,2,8,5,3,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[7,5,2,8,1,6,3,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[4,8,5,7,1,3,2,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,4,7,2,1,5,8,6] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[4,8,2,7,1,3,6,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[5,1,6,8,3,2,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[4,5,2,8,7,3,1,6] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[4,8,5,3,1,6,7,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,2,3,1,7,8,5,4] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[5,2,3,6,8,4,7,1] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [4,2,1,1] => 4

[6,2,1,7,8,4,3,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,2,7,8,4,1,6,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[5,2,8,6,4,1,7,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[5,1,2,8,4,3,7,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[5,7,2,6,4,8,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,2,3,4,7,8,5,1] => [[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [5,1,1,1] => 5

[7,2,1,8,4,3,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,2,1,3,7,5,8,4] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[6,8,7,3,4,5,1,2] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[6,2,3,7,8,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[7,4,3,2,5,8,1,6] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[7,2,4,3,5,8,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[1,7,6,4,2,3,5,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,3,2,5,8,6,4,7] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[6,1,4,7,2,8,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[5,7,3,4,6,2,8,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[2,8,3,6,1,7,4,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,3,1,8,5,2,6,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[1,8,4,5,6,2,7,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[7,3,8,2,1,4,5,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,2,5,3,1,7,4,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,3,5,8,1,7,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,4,8,6,1,7,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[7,5,2,3,8,4,6,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[2,7,5,1,4,8,3,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[5,7,6,1,2,8,3,4] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[7,4,6,5,1,8,2,3] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,3,5,2,8,1,6,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[2,7,4,8,5,3,1,6] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[6,1,3,8,4,2,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[5,4,1,8,6,2,7,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[5,4,6,8,1,3,2,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,6,1,5,8,4,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[6,4,8,3,5,7,2,1] => [[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [3,2,1,1,1] => 3

[7,2,8,4,1,3,6,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,8,1,2,4,3,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[4,1,5,2,3,8,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[6,3,5,8,2,4,7,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[2,8,7,1,4,6,3,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[1,8,5,3,7,4,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[7,5,6,2,8,4,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[6,3,8,1,2,5,4,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,6,9,7,5,4,3,2,1] => [[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[1,6,5,3,2,4,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,7,2,4,6,5,3,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,2,6,8,7,4,3,5] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [4,2,1,1] => 4

[1,6,2,8,7,4,3,5] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[1,7,4,8,5,2,3,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,6,3,7,4,2,8,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,8,5,2,7,4,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,5,8,7,6,2,4,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[1,3,5,8,7,6,2,4] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [4,2,1,1] => 4

[1,5,2,4,3,6,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,6,8,7,5,3,2,4] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [3,2,1,1,1] => 3

[1,4,2,6,8,7,5,3] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [4,1,1,1,1] => 4

[1,5,8,6,3,2,7,4] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[1,6,3,2,8,5,4,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,5,7,4,2,3,8,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[6,3,7,5,4,2,8,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[3,8,2,7,5,4,1,6] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[2,7,3,6,8,5,4,1] => [[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [4,1,1,1,1] => 4

[3,7,2,8,1,6,4,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[2,5,8,7,1,4,3,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[3,4,6,5,8,2,7,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,2,1,1] => 4

[5,2,4,1,6,7,8,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[4,2,7,1,6,8,3,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,4,7,2,5,3,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,3,4,5,2,1,7,6] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[8,6,1,4,7,3,5,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[5,3,6,7,2,8,4,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[5,3,6,7,2,4,8,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[7,1,3,6,5,2,8,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[1,4,7,5,2,3,8,6] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[6,1,7,5,4,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[2,7,3,6,5,1,8,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[8,6,5,1,3,7,4,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[5,7,6,2,4,8,1,3] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[3,7,5,6,4,8,1,2] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[7,6,8,1,3,5,4,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,8,4,6,1,7,5,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,5,8,6,7,1,4,2] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[3,1,5,8,6,2,4,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[2,5,4,6,8,1,3,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[5,2,8,3,4,7,6,1] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,1,1,1,1] => 4

[2,4,3,8,7,1,6,5] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[1,5,8,7,4,2,6,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[6,8,7,5,4,3,1,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[5,3,4,8,6,2,7,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[5,6,4,7,3,8,2,9,1,10] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[5,4,2,3,6,1,8,7] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,3,7,6,8,2,1,5] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[8,1,4,7,2,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[8,7,2,6,3,1,4,5] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,3,4,7,6,2,1,5] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[3,1,8,7,5,2,4,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[6,5,8,7,2,4,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,3,6,5,8,2,1,7] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,6,3,2,8,5,4,1] => [[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 2

[4,3,7,1,8,5,2,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,8,5,6,7,1,4] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[8,3,2,1,4,7,5,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,5,1,4,2,3,6,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[1,5,3,4,7,8,6,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [5,1,1,1] => 5

[5,1,7,8,6,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[8,5,1,6,7,2,3,4] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,5,1,2,4,6,8,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[6,1,5,2,7,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[7,1,2,6,4,5,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[8,1,6,2,7,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[7,1,6,2,5,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,1,6,2,5,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,1,7,2,5,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,1,2,7,4,5,6,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[8,1,6,7,5,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[3,1,2,8,5,6,7,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[6,1,7,4,2,3,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[1,7,3,4,6,8,5,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [5,1,1,1] => 5

[7,1,8,2,5,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[6,1,7,2,5,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,1,7,2,6,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,1,8,2,6,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[2,4,7,3,5,1,6,8] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[2,4,8,6,3,5,1,7] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[2,3,7,5,4,1,6,8] => [[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,3,1,1] => 3

[3,4,6,2,1,5,8,7] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[3,4,7,2,1,6,5,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[2,3,6,1,5,8,4,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,3,7,1,6,5,8,4] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,4,7,1,3,6,8,5] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[5,4,7,8,1,3,2,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,5,7,1,4,6,3,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,4,7,1,6,3,5,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,3,7,1,6,5,4,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,5,7,1,4,3,6,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[2,5,7,3,1,4,6,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[3,4,7,2,1,6,8,5] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[4,6,3,7,1,5,2,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,7,3,2,8,1,4,6] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[2,6,5,7,1,8,4,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,4,7,8,1,3,6,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[2,5,7,1,4,6,8,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[2,4,7,1,6,3,8,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,4,7,1,6,8,3,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[1,8,3,4,5,6,7,9,2] => [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [7,1,1] => 7

[8,6,5,1,2,4,3,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,6,1,4,2,3,5,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,5,1,4,8,3,2,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,7,5,1,4,2,3,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,7,5,1,4,2,6,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[8,6,1,4,2,5,3,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,7,1,4,3,2,6,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,7,5,2,4,3,6,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[4,2,5,7,3,1,6,8] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[8,2,4,5,3,1,6,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[8,4,5,1,3,2,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,3,7,5,2,1,6,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[1,4,5,7,3,2,6,8] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[3,5,1,4,7,2,6,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,5,1,4,7,8,3,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[4,3,7,1,5,2,6,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,5,1,6,4,2,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[6,4,3,1,7,2,5,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[6,2,7,4,3,1,5,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[7,2,4,1,3,6,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[1,7,3,2,5,6,4,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,6,3,2,5,7,4,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[2,5,1,6,4,3,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,6,1,5,2,7,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,6,5,3,7,2,4,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[5,2,7,6,1,8,4,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,8,2,6,1,7,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[1,5,8,3,6,2,7,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[1,2,6,4,7,3,8,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[2,7,4,5,8,1,6,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[2,6,1,8,5,4,3,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,8,6,2,3,4,1,7] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[6,4,7,5,8,2,1,3] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[7,5,6,2,4,3,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,1,7,4,5,6,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,2,1,4,3,7,6,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,6,5,3,1,2,8,4] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[5,4,1,6,2,8,3,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,2,3,1,7,8,4,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,5,1,8,6,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,5,3,7,1,6,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,8,6,3,5,4,7,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[7,3,5,1,6,4,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,8,2,5,6,4,7,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[2,7,1,4,8,5,6,3] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[2,8,4,6,1,3,7,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[8,4,6,2,5,3,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,3,7,6,2,1,5,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,5,2,7,6,1,4,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,7,6,2,5,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,3,8,6,5,1,4,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[9,8,7,6,1,2,3,4,5,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,1,1,1,1] => 6

[5,4,7,1,3,8,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[2,8,5,1,4,7,3,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[7,2,6,5,8,4,3,1] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [3,1,1,1,1,1] => 3

[5,8,2,3,4,6,1,7] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[6,1,3,4,2,5,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[1,5,6,3,2,4,7,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[6,3,5,2,4,1,7,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[2,4,5,7,3,6,1,8] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[6,5,1,3,4,2,7,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,7,4,3,2,6,1,8] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,8,7,4,3,5,1,2] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,6,7,8,4,3,5,1] => [[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,2,1,1] => 4

[1,7,8,4,5,3,6,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[7,1,8,5,3,4,6,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[5,1,4,7,3,6,2,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[1,6,5,8,7,4,2,3] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[6,1,3,8,7,5,2,4] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[7,6,2,1,8,3,5,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[1,7,5,6,8,2,4,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[3,6,7,5,8,2,4,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[1,7,4,5,2,8,6,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[7,5,4,2,1,8,6,3] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[3,6,7,4,2,8,5,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1] => 3

[7,6,1,3,4,2,5,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[7,3,2,1,5,6,4,8] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[2,6,7,3,1,5,4,8] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[7,2,8,5,6,4,3,1] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [3,1,1,1,1,1] => 3

[7,6,8,5,4,1,3,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,1,8,4,6,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[7,8,6,3,1,5,4,2] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,1,4,5,3,2,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[4,1,3,8,6,2,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[5,6,3,2,8,1,7,4] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,2,6,3,1,5,7,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[8,2,5,6,7,4,3,1] => [[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,1,1,1,1] => 4

[7,5,3,2,4,1,8,6] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,1,2,3,6,8,4,5] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [5,2,1] => 5

[3,1,8,4,6,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[8,1,6,7,4,2,3,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[8,1,6,4,5,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[8,6,4,1,2,3,7,5] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[8,6,4,1,5,7,2,3] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,6,4,1,5,2,3,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[3,4,7,5,8,2,6,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,2,1,1] => 4

[5,3,8,6,4,1,7,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,1,2,3,4,5,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,1] => 8

[5,1,2,3,4,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,1] => 8

[4,1,2,3,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,1] => 8

[7,4,5,1,2,8,6,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[6,4,7,1,8,5,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,7,4,2,3,8,6,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[3,8,2,5,1,7,4,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,5,7,6,1,2,4,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[6,8,7,5,2,4,1,3] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[7,3,1,6,8,5,4,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[8,6,4,1,7,3,2,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[3,5,2,8,4,7,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,6,2,8,7,4,1,5] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[6,8,4,2,7,3,1,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,9,2,3,4,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [6,2,1] => 6

[9,8,7,6,4,5,3,2,1] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[5,6,7,8,9,1,4,3,2] => [[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [5,4,3,2,1,7,8,9,6] => [5,2,1,1] => 5

[3,4,7,8,5,1,2,6] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[2,3,6,5,1,8,7,4] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[3,6,4,7,1,2,8,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[5,7,4,8,1,3,2,6] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,3,7,8,1,5,2,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,5,4,2,6,1,7,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[2,3,7,5,1,8,6,4] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,3,1,2,8,7,4,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[5,2,1,3,8,7,6,4] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[7,2,1,5,3,8,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,3,6,8,1,5,2,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,4,6,8,3,1,7,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[3,6,8,4,5,1,7,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[8,6,1,7,2,4,3,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,3,1,2,8,6,4,5] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[2,3,7,6,1,8,5,4] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[6,2,8,3,1,4,7,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[3,1,2,8,7,4,5,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[2,1,3,8,7,4,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[2,1,3,8,7,4,5,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[1,6,8,3,2,4,7,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [4,2,1,1] => 4

[8,5,1,7,2,4,3,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,4,1,7,3,2,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,3,1,6,2,7,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[1,3,2,8,7,6,4,5] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[1,6,3,7,2,5,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,7,2,4,6,3,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[5,6,2,8,4,1,3,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[3,5,8,4,2,1,6,7] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1] => 3

[2,5,8,3,1,4,6,7] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[2,8,1,3,5,7,4,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[5,4,7,8,3,2,6,1] => [[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [3,2,1,1,1] => 3

[3,4,8,5,7,1,2,6] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[3,4,6,5,8,2,1,7] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1] => 4

[2,4,6,7,8,3,5,1] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [5,2,1] => 5

[1,4,2,5,7,6,3,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,5,7,6,3,2,4,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[1,6,3,2,4,8,7,5] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[1,2,7,6,4,3,5,8] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [5,1,1,1] => 5

[1,8,7,5,2,4,6,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[1,7,5,2,4,6,3,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,8,4,7,5,2,6,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,6,3,7,4,2,5,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,6,3,2,7,5,4,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,3,6,4,8,7,5,2] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [4,1,1,1,1] => 4

[1,5,7,6,4,2,3,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[1,6,3,2,8,4,7,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,6,3,5,2,7,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,6,3,5,2,8,7,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[1,8,3,7,5,2,4,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[6,4,7,1,5,3,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,3,8,2,6,5,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,7,1,4,8,2,3,6] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[6,5,7,1,4,3,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,7,6,1,2,4,8,3] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[1,3,4,2,8,5,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[7,3,1,4,2,6,5,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,4,1,6,2,5,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,4,1,8,2,6,3,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,3,1,8,2,6,4,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[4,7,1,5,2,6,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,5,1,4,2,7,3,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[1,8,7,4,5,2,3,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[1,3,7,8,4,5,6,2] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [5,2,1] => 5

[8,4,2,3,1,6,5,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,5,2,8,1,7,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,2,4,6,7,1,5,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[2,6,3,1,7,4,8,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,5,1,8,3,2,7,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[1,4,3,7,2,8,6,5] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[6,1,7,2,8,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,3,2,1,5,6,7,4] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[1,7,4,6,3,8,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[5,6,4,1,3,8,2,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,5,3,1,8,7,6,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,3,4,2,7,8,5,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[7,2,8,1,4,5,6,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[4,5,3,8,7,12,2,11,9,10,1,6] => [[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,10,9,7,12,11] => [3,3,2,2,1,1] => 3

[8,1,6,7,2,5,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[8,1,4,6,5,3,2,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[8,1,4,7,6,5,2,3] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[8,1,2,7,6,5,4,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,1,1,1,1,1] => 3

[4,5,8,1,6,7,2,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[3,2,8,6,1,5,7,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[6,7,8,4,1,5,2,3] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[6,8,2,5,3,4,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[7,4,5,6,1,8,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[1,3,2,6,8,7,4,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,6,2,5,8,7,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[1,6,8,7,2,3,5,4] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,5,2,4,8,3,6,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[1,2,4,5,8,6,3,7] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [5,2,1] => 5

[1,2,8,3,5,4,7,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 5

[1,3,8,2,5,4,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,7,4,2,5,8,3,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,6,4,3,7,5,2,8] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[1,6,5,4,7,2,3,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[1,7,3,2,6,4,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,4,2,7,5,3,8,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,7,4,2,6,5,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[1,6,5,8,3,7,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[1,7,4,8,3,2,5,6] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,8,3,6,4,5,2,7] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[8,2,3,7,4,5,6,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[8,5,7,2,3,6,4,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,5,2,1,6,8,3,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[7,6,3,2,1,8,4,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[2,8,7,3,4,6,1,5] => [[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [4,2,1,1] => 4

[8,1,7,3,4,5,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[7,1,8,3,4,5,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[3,8,7,1,2,4,5,6] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[7,1,6,5,4,3,8,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[7,1,5,3,6,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[6,1,5,3,7,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,8,7,1,2,6,3,4] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[6,8,2,3,4,7,1,5] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,4,5,6,8,9,1,2,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[3,4,5,6,8,1,2,7,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[2,3,4,5,6,8,9,1,10,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[8,3,4,1,6,5,2,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,4,8,5,7,2,1,6] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1] => 4

[3,6,4,8,5,7,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [4,1,1,1,1] => 4

[5,8,4,7,3,6,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[4,2,8,7,3,1,6,5] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,8,2,1,7,4,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,1,3,2,6,8,7,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[6,1,3,8,7,2,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[4,2,1,8,7,6,3,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[3,2,5,8,7,1,4,6] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[5,6,3,8,7,2,1,4] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[2,5,8,4,7,1,6,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[4,8,5,3,6,7,1,2] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[2,7,1,3,6,4,5,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[8,1,7,3,5,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[1,8,6,3,2,5,4,7] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[6,4,5,8,3,1,7,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[8,6,2,1,5,7,3,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,7,2,4,1,5,3,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,3,4,8,6,2,1] => [[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1] => 3

[2,8,3,1,4,6,7,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[4,3,6,5,1,2,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[1,8,7,2,6,3,5,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[8,7,2,1,4,3,5,6] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,2,8,7,6,5,1,3] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[6,2,1,8,7,5,3,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[4,6,5,3,2,8,1,7] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[2,8,3,4,1,5,6,7] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[4,5,6,3,1,8,2,7] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,3,6,2,8,4,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[2,3,6,5,4,8,1,7] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[3,7,5,4,8,2,6,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[5,3,7,1,2,8,4,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,3,8,7,2,5,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[9,7,8,5,4,3,2,1,6] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[1,2,3,5,4,6,7,8,9] => [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [8,1] => 8

[2,6,8,1,4,7,5,3] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[6,4,8,1,2,7,5,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[8,2,1,6,7,4,5,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[4,2,8,1,6,7,5,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[8,1,2,6,4,7,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[8,4,1,6,2,7,5,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[4,8,1,2,6,7,5,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[8,2,4,6,1,7,5,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[2,3,4,5,6,7,8,1,10,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[5,4,7,6,3,1,2,8] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[3,6,4,8,1,5,2,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,6,8,4,1,5,2,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[8,7,1,4,2,3,5,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[3,8,6,4,1,5,2,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[4,6,1,3,2,8,7,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[7,1,4,8,2,3,6,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[1,4,7,8,3,5,2,6] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[6,1,2,5,4,8,7,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[8,4,1,7,3,5,6,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,4,1,2,5,7,3,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[2,4,5,6,8,3,1,7] => [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,2,1] => 5

[1,3,4,5,6,8,9,2,7] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [7,2] => 7

[8,3,7,2,1,6,5,4] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,7,6,2,5,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,8,7,5,6,2,1,4] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[3,8,7,5,6,2,4,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[4,5,2,3,6,7,8,9,1] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [6,2,1] => 6

[10,1,9,2,8,3,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[1,5,6,3,8,2,7,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[1,7,5,3,6,2,8,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,5,7,3,4,2,8,6] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[1,4,5,3,8,2,7,6] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[5,1,6,8,3,7,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[5,4,7,1,8,6,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,5,1,3,6,2,4,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,2,8,1,7,4,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[1,2,5,6,8,7,3,4] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [5,2,1] => 5

[2,6,7,3,4,1,8,5] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[1,6,5,7,8,2,4,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,3,7,2,6,4,8,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[1,5,8,6,7,3,4,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1] => 4

[1,6,5,8,7,2,4,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,2,6,5,7,3,8,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[1,7,5,8,6,4,2,3] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[3,6,5,8,1,2,7,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[5,4,7,8,1,6,3,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[2,5,6,8,1,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,5,8,7,1,6,4,3] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,7,5,8,3,6,2,1] => [[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [3,2,1,1,1] => 3

[8,3,6,7,5,2,4,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[3,6,8,7,5,2,4,1] => [[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [3,2,1,1,1] => 3

[6,4,7,8,5,1,3,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[7,8,4,6,5,3,1,2] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[2,8,7,5,1,6,3,4] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[8,7,6,4,2,1,5,3] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 2

[3,8,7,5,2,6,4,1] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,8,3,7,1,4,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,5,1,4,3,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[5,3,8,2,4,6,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[5,8,2,1,4,6,3,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,1,5,8,3,6,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[3,2,7,1,8,5,4,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,7,8,5,2,3,1,6] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[6,2,7,8,1,5,3,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,7,1,3,8,5,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[2,6,7,8,4,1,3,5] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[2,6,7,8,4,3,1,5] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,1,1] => 4

[7,1,2,6,3,8,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[8,1,2,6,5,3,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[8,5,4,6,1,2,7,3] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,4,1,8,2,5,3,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,4,5,3,1,6,7,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,2,3,1,6,7,4,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,2,1,7,4,3,5,6] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,2,6,8,4,1,3,5] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[7,2,5,1,6,8,3,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,7,4,3,2,5,6,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,7,4,3,6,2,5,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[3,8,4,5,7,2,6,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[3,8,4,7,5,6,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [4,1,1,1,1] => 4

[4,2,8,6,3,7,5,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[4,1,7,6,3,8,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[3,5,6,8,4,7,1,2] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[6,2,8,4,5,3,7,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[6,3,7,1,2,5,8,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,3,6,7,2,4,5,1] => [[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [3,3,1,1] => 3

[3,8,7,5,2,1,6,4] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,2,1,1,1,1] => 2

[3,6,5,8,4,2,7,1] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [3,2,1,1,1] => 3

[6,1,2,4,5,7,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,1,1] => 6

[4,5,1,3,7,6,8,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[3,5,4,8,6,2,7,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[3,6,2,4,5,8,7,1] => [[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [4,2,1,1] => 4

[8,1,5,3,6,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[2,6,4,8,3,1,5,7] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[2,6,4,1,5,8,7,3] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[3,5,1,4,6,2,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[8,1,5,4,7,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[7,6,5,4,1,8,2,3] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[8,1,5,4,7,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[2,5,1,4,6,7,3,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,6,4,1,5,7,8,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[7,6,5,2,8,4,1,3] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[3,1,6,5,2,8,7,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[1,7,2,4,3,5,8,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[3,8,1,7,4,2,6,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,1,7,4,3,5,6,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[2,8,3,1,4,7,5,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[8,6,3,2,7,4,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[3,5,7,4,8,1,6,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[2,8,1,3,5,4,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[1,5,2,8,6,4,3,7] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[7,4,8,6,3,1,2,5] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[3,6,8,4,1,2,5,7] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[4,7,8,5,2,1,3,6] => [[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,3,1,1] => 3

[6,1,5,2,8,7,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[5,1,3,4,2,6,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[3,2,6,4,1,5,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,4,2,1,8,3,6,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[4,2,5,1,8,7,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,8,2,7,1,4,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[1,8,4,7,3,2,5,6] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[8,6,3,1,5,7,2,4] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[1,8,3,2,6,4,7,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[4,7,1,2,5,3,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[6,8,4,1,3,7,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,2,6,1,7,8,5,4] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[7,6,4,1,8,3,5,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[5,4,1,6,7,3,2,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,5,4,1,6,7,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[5,2,1,6,4,7,8,3] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,2,4,6,1,7,3,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,3,5,1,6,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,6,3,5,4,1,2,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,3,2,6,1,5,4,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,7,6,2,1,3,4] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[5,4,8,3,1,7,2,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[5,1,4,8,3,2,7,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[4,8,1,7,6,5,2,3] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,3,8,7,2,6,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,2,5,7,4,3,6,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[3,8,7,4,6,1,2,5] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[8,7,6,3,5,4,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[2,8,4,7,6,1,5,3] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[2,5,4,8,3,1,7,6] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[1,8,3,7,6,5,2,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[1,4,3,8,7,2,6,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[7,4,1,3,6,2,5,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[2,6,8,3,1,7,4,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,5,4,8,1,7,3,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[7,8,2,6,3,5,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[7,2,6,5,8,3,4,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[2,6,1,5,3,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[5,3,6,4,8,7,2,1] => [[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 3

[1,5,4,8,6,2,7,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[7,6,2,5,3,8,4,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[8,4,6,1,3,7,2,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,8,5,1,2,3,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[4,5,1,3,8,6,2,7] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[2,1,6,7,4,8,3,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,8,1,3,6,4,5,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[7,2,6,8,4,5,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[7,3,6,8,5,1,4,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[7,5,8,1,6,2,4,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,7,8,1,6,3,2,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[7,2,6,8,5,1,4,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[6,7,8,4,3,1,5,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[7,3,8,1,6,4,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,5,2,8,1,4,6,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[3,7,8,2,1,6,4,5] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[7,8,1,6,3,5,4,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[6,7,8,2,5,4,3,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[6,7,8,3,1,5,4,2] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[7,8,1,6,2,5,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[5,6,1,4,3,8,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,1,6,8,5,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,1,1,1,1,1] => 3

[5,6,8,1,2,3,7,4] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[4,8,1,2,7,6,5,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[4,6,1,2,8,5,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[5,7,8,4,2,1,3,6] => [[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,3,1,1] => 3

[1,6,4,5,2,7,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[6,2,1,4,5,3,7,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,2,1,5,7,3,4,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[1,2,4,6,8,3,7,5] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1] => 5

[6,1,3,7,2,8,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[8,1,4,3,6,7,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,1,5,2,6,4,3,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[1,7,8,4,3,6,2,5] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[3,1,2,6,7,8,5,4] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,1,1,1] => 5

[3,8,1,6,4,2,7,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,6,3,4,7,8,2,5] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[3,1,5,7,6,2,8,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[2,4,3,7,6,1,8,5] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[3,1,7,6,5,2,8,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[4,3,1,8,6,2,7,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[3,1,5,2,8,7,6,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[1,2,8,4,3,7,6,5] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[2,6,1,8,7,4,3,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[7,5,1,8,3,2,6,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[5,3,1,8,6,2,4,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,1,8,6,3,2,4,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,5,4,2,8,6,3,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,4,2,8,5,3,7,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[8,3,1,6,4,2,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[1,7,4,8,3,5,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[5,7,8,1,4,2,6,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,6,3,8,1,7,5,4] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,5,1,8,6,3,7,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[2,8,6,4,1,7,3,5] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[1,8,4,2,7,5,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[6,5,1,7,2,8,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[2,8,1,7,5,3,6,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,2,8,7,6,4,3,5] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [4,1,1,1,1] => 4

[4,1,8,7,6,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[4,8,2,6,3,5,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,3,5,7,1,6,2,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,4,2,5,3,1,7,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[3,1,5,8,2,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,4,1,5,3,2,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,2,1,5,4,3,7,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,5,2,7,1,6,3,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,3,5,7,1,6,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,1,8,5,3,6,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 4

[6,3,8,4,5,1,7,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[3,1,6,8,5,7,4,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[6,3,8,4,5,2,1,7] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[6,3,8,4,5,2,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[2,1,6,8,5,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[3,2,6,8,5,4,7,1] => [[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [3,2,1,1,1] => 3

[3,1,6,8,5,2,4,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[6,5,8,7,4,1,2,3] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[6,5,8,7,4,2,1,3] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[6,5,8,7,2,4,1,3] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[6,2,8,4,5,7,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,2,7,3,5,8,6,1] => [[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,1,1,1,1] => 4

[3,5,1,8,4,7,6,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[2,4,8,3,7,6,5,1] => [[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,2,1,1,1] => 3

[3,6,8,2,5,4,7,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[4,6,8,3,2,5,7,1] => [[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,3,1,1] => 3

[5,2,6,8,4,1,7,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[3,5,8,2,7,4,6,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[2,4,8,7,6,3,5,1] => [[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [3,2,1,1,1] => 3

[7,5,1,6,3,2,8,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,3,8,5,7,2,4,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[1,5,4,8,6,2,3,7] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[8,2,1,7,5,3,6,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[6,2,8,1,7,5,3,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,5,1,8,7,6,2,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[2,5,6,4,8,3,7,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[4,7,3,1,6,8,2,5] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,7,2,5,6,3,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[5,4,1,3,7,8,2,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[6,1,5,8,3,7,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[4,5,2,1,7,8,3,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[6,2,3,1,8,5,4,7] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,1,2,6,4,8,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[4,5,2,8,6,1,3,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,8,2,7,5,3,1,4] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[4,3,8,5,2,7,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[2,8,4,5,1,6,3,7] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,5,1,8,7,4,2,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,6,1,3,8,2,7,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,1,7,8,3,2,4,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[5,3,6,7,4,2,8,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[6,1,4,2,8,7,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[4,6,5,2,7,8,3,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[5,4,6,2,7,8,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[5,1,8,6,4,2,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[5,4,6,2,3,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,5,7,8,1,3,4,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[2,1,7,6,8,4,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[6,4,7,2,8,3,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,4,8,2,7,6,5,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[3,9,1,8,7,6,5,4,2] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [2,2,1,1,1,1,1] => 2

[4,7,6,3,1,5,8,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[2,4,7,3,8,5,1,6] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[6,7,5,2,1,4,8,3] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[1,7,4,8,6,5,3,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [3,1,1,1,1,1] => 3

[1,6,3,5,7,4,8,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[1,5,4,7,2,8,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[3,7,4,8,5,2,6,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[8,1,2,6,5,3,4,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[3,7,4,2,5,6,1,8] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[6,8,7,1,3,4,2,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,7,8,6,1,4,2,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[7,1,6,8,3,4,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[3,7,8,4,2,5,6,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1] => 3

[3,4,2,8,5,1,6,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[1,4,3,2,5,6,7,8,9] => [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [7,1,1] => 7

[6,8,2,7,5,4,1,3] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[1,8,4,3,7,6,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[4,3,8,7,1,2,6,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[3,2,8,7,1,6,4,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,7,8,5,1,4,6,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[2,7,8,1,5,4,6,3] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,7,8,1,4,5,6,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[5,7,6,8,2,1,3,4] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[4,5,7,8,2,6,1,3] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[5,7,3,4,2,1,6,8] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[6,1,5,3,8,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[1,8,6,2,5,4,7,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[2,8,5,1,4,3,7,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,4,5,6,1,7,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[5,3,6,4,7,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[5,4,6,2,7,3,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,4,7,6,8,2,1,3] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[6,4,7,5,8,3,1,2] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[4,3,7,2,8,5,1,6] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,3,6,2,8,5,1,7] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,3,7,6,8,2,1,4] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[5,3,7,2,8,6,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,8,1,7,3,2,5,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[3,7,4,8,2,1,5,6] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[3,7,8,2,5,4,6,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[8,7,6,4,1,5,3,2] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[7,2,5,3,4,8,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,2,5,3,7,8,6,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 4

[5,3,6,2,4,1,8,7] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,8,6,2,3,5,4,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[5,8,2,6,3,7,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[7,5,6,2,3,8,4,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[2,8,4,3,7,5,6,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[2,7,6,3,8,5,4,1] => [[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [3,1,1,1,1,1] => 3

[6,2,7,5,3,8,4,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[2,4,8,3,7,5,6,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[4,8,3,7,5,6,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[4,5,3,7,1,2,6,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [4,2,2] => 4

[8,5,6,4,1,3,2,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,7,2,8,4,3,1,5] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[6,7,3,2,8,4,1,5] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,7,8,3,1,5,2,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,5,8,1,3,2,6,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[4,7,8,1,6,3,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,7,1,3,8,6,5,2] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[2,3,8,6,4,5,7,1] => [[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [5,1,1,1] => 5

[2,5,6,1,8,7,3,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[3,6,2,8,4,7,5,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[8,5,6,3,1,4,2,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[5,7,8,3,4,6,2,1] => [[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,3,1,1] => 3

[3,5,1,8,6,4,2,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[7,5,3,8,6,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,1,1,1,1,1,1] => 2

[5,1,3,8,6,4,2,7] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[7,5,8,3,6,4,2,1] => [[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [2,2,1,1,1,1] => 2

[5,7,8,1,4,6,2,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,1,2,5,3,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[6,7,3,5,4,1,2,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[8,1,6,7,3,5,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[7,2,4,1,6,5,3,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,2,5,1,3,7,6,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[1,3,2,6,8,4,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[8,1,7,5,4,2,6,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[1,6,4,3,7,2,5,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[2,3,4,5,6,9,8,7,1] => [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [6,1,1,1] => 6

[2,3,4,5,6,7,10,9,8,1] => [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [7,1,1,1] => 7

[8,4,5,1,3,7,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[8,6,4,3,7,1,5,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,3,1,8,6,5,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[3,4,5,6,7,1,2,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[2,7,3,1,4,8,6,5] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[4,3,1,5,8,7,6,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[1,7,2,5,6,8,4,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [5,1,1,1] => 5

[3,5,4,7,1,8,6,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[7,1,5,4,2,3,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,1,3,6,4,5,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[6,1,3,8,4,5,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[2,1,8,7,3,6,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[5,8,2,7,1,3,6,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[2,6,5,4,1,3,7,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[4,1,5,7,6,3,2,8] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[4,5,1,7,6,3,2,8] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,4,2,1,8,7,3,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[6,2,1,5,4,3,8,7] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[1,4,2,6,7,8,5,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [5,1,1,1] => 5

[1,4,2,5,6,8,7,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [5,1,1,1] => 5

[3,2,4,5,7,8,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[2,3,4,7,5,8,6,1] => [[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [5,1,1,1] => 5

[6,5,2,8,7,4,3,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[7,8,5,4,2,1,6,3] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,2,8,6,4,3,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[8,6,7,2,5,3,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,6,2,7,8,4,5,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[8,6,2,7,5,4,1,3] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[7,6,3,2,8,1,5,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[8,6,3,7,2,4,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[7,2,8,6,4,1,3,5] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[1,5,3,7,4,2,6,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,7,6,4,3,2,8,5] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,7,6,3,4,2,5,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[1,2,7,4,3,8,6,5] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 4

[1,5,4,2,3,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[1,5,3,2,4,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [6,1,1] => 6

[8,1,3,2,6,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,3,7,2,8,1,6,5] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[3,2,7,5,6,1,8,4] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,5,6,1,3,2,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,3,4,1,8,2,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,4,5,1,6,3,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,5,6,1,4,3,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,2,7,6,8,3,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[3,2,6,4,8,5,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[4,2,8,3,6,5,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,1,4,3,5,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,2,8,5,7,1,4,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[6,4,8,5,7,1,3,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,3,4,1,6,2,8,7] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,5,7,3,4,1,8,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,2,7,6,8,1,4,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[7,5,6,1,8,2,4,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,3,6,1,8,2,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,2,8,1,6,3,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,6,5,4,1,2,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[1,7,5,8,4,6,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,2,1,1,1] => 3

[6,5,7,1,2,8,3,4] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,1,4,2,3,8,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[8,1,2,5,3,7,6,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[8,6,5,2,4,1,7,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,8,5,2,4,3,1,7] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[3,4,2,8,6,7,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,6,2,5,1,7,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,1,4,2,5,8,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[7,8,5,1,2,4,3,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[5,8,1,4,3,6,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[6,2,3,7,1,4,5,8] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[2,3,5,7,9,1,4,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[2,3,5,7,9,1,4,6,8,10] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[8,6,3,2,1,7,5,4] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[7,8,5,9,6,4,3,2,1] => [[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [2,2,1,1,1,1,1] => 2

[6,1,3,4,2,5,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[5,1,3,6,2,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[1,5,7,6,8,2,4,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[5,7,1,3,8,4,2,6] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[1,6,2,4,3,5,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[5,3,7,6,1,8,4,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,5,6,3,7,8,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [4,2,1,1] => 4

[1,5,7,6,3,8,4,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [3,2,1,1,1] => 3

[7,3,5,6,1,8,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[1,6,3,7,8,5,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [4,1,1,1,1] => 4

[3,7,5,6,1,8,4,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[7,3,5,4,1,2,6,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[7,1,3,8,2,5,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,7,6,1,3,8,2,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[5,1,3,7,6,2,4,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[1,6,3,7,2,4,5,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[5,3,2,4,8,1,7,6] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[6,8,5,3,2,7,1,4] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,3,7,2,6,5,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,6,2,7,1,3,8,5] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,5,1,4,7,2,8,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,1,4,8,7,3,2,6] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[1,5,3,8,4,2,7,6] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[5,4,2,1,8,3,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[3,1,7,4,2,6,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[7,4,8,2,3,5,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,1,7,3,2,5,6,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[8,6,5,2,7,3,1,4] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[3,1,6,8,4,2,7,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[5,6,2,3,7,4,1,8] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[2,5,6,3,1,8,4,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,5,1,2,7,8,6,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[4,8,5,1,2,6,7,3] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[4,6,7,5,1,2,8,3] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[7,2,8,1,4,5,3,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,1,4,7,3,8,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,1,6,3,4,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[2,8,4,6,3,1,5,7] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[3,7,4,1,5,8,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[6,7,5,1,3,8,2,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[8,5,1,3,6,7,2,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[7,8,6,2,4,1,3,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[8,2,4,1,3,6,7,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[1,5,6,3,8,4,7,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [4,2,1,1] => 4

[5,6,1,3,7,2,8,4] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[5,6,1,8,2,3,7,4] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,6,1,2,8,4,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[3,7,8,1,6,4,2,5] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[1,7,8,6,3,4,2,5] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[5,7,1,8,6,4,2,3] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[7,8,1,5,6,4,2,3] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[7,1,5,8,6,4,2,3] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[1,3,5,8,6,4,2,7] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,2,1,1] => 4

[8,6,1,5,2,3,4,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,5,1,6,2,3,4,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[2,7,8,4,1,3,5,6] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[6,8,1,2,3,7,4,5] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[8,1,3,5,6,7,2,4] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[8,1,2,5,3,4,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[3,7,6,2,5,8,4,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[5,2,7,3,4,8,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[2,7,5,4,1,3,6,8] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[2,7,4,6,5,1,8,3] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[6,8,7,5,2,1,4,3] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,8,6,3,5,1,4,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[1,5,8,7,6,3,4,2] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [3,2,1,1,1] => 3

[1,6,4,8,5,7,3,2] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [4,1,1,1,1] => 4

[3,5,8,7,6,2,4,1] => [[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [3,2,1,1,1] => 3

[6,5,3,7,4,1,8,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[3,6,1,4,5,7,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[3,8,1,6,4,2,5,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[7,3,2,1,8,6,4,5] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,7,2,4,1,3,6,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,2,6,3,5,7,1,4] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[1,8,3,7,4,6,5,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 4

[8,2,3,1,7,4,5,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[3,1,7,8,6,2,5,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[4,8,1,2,6,5,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[5,6,1,8,3,7,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,8,1,6,5,3,7,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[2,1,5,7,6,3,8,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[4,3,5,1,7,8,6,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[1,2,7,8,4,5,6,3] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [5,2,1] => 5

[2,3,4,5,6,9,10,1,7,8] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[4,3,8,7,6,2,5,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[5,4,8,2,7,6,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[2,3,6,4,1,7,5,8] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,3,7,1,5,8,4,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,3,6,1,7,5,8,4] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,3,6,5,1,7,4,8] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[3,6,4,2,1,5,7,8] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[4,6,5,2,1,7,8,3] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[4,2,6,5,1,7,8,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[3,5,6,2,1,4,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[4,3,6,5,2,8,1,7] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[4,3,6,5,1,7,8,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[3,6,4,5,2,1,7,8] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[3,5,6,4,2,8,1,7] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[4,6,5,3,1,7,8,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[1,2,3,4,5,7,6,8,9,10] => [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1] => [9,1] => 9

[5,8,1,4,2,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,5,4,8,1,7,2,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[5,3,6,8,1,4,7,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[1,2,5,6,8,3,7,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1] => 5

[5,3,8,4,6,2,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[7,4,8,1,5,2,6,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,3,2,1,6,5,7,4] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[4,1,5,6,8,7,2,3] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [4,2,1,1] => 4

[1,5,6,8,4,7,2,3] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[5,6,8,1,2,4,7,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[6,8,1,4,5,7,2,3] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[4,3,5,1,8,6,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,3,5,6,8,4,7,2] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [5,2,1] => 5

[5,6,8,2,3,4,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[5,8,7,2,1,3,6,4] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[5,1,7,2,8,6,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[3,2,1,7,8,6,4,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[8,6,7,1,2,5,3,4] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,5,1,4,8,2,3,6] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,2,8,1,7,5,6,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,4,3,1,7,5,6,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[6,1,7,8,4,2,3,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,4,3,1,8,5,2,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,8,1,6,3,4,5,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[6,8,1,7,3,4,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,3,1,2,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[5,3,1,2,4,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 7

[4,3,1,2,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 8

[3,1,2,4,5,6,7,8,9,10,11] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [10,1] => 10

[4,6,5,3,8,2,7,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,8,3,5,2,1,6,4] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[6,3,7,5,2,4,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,8,1,5,6,4,3,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[6,3,7,5,1,4,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[3,1,7,2,5,8,6,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[7,1,6,8,2,5,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[1,6,5,7,4,2,3,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[7,2,8,4,5,6,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[5,4,3,1,2,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 6

[6,5,4,3,1,2,7,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[6,5,4,3,1,2,7,8,9,10] => [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,1,1,1,1] => 6

[7,6,5,4,3,1,2,8,9,10] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,1,1,1,1,1] => 5

[3,8,6,1,4,5,7,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[7,5,8,6,4,1,3,2] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,7,6,3,8,5,1,4] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[2,3,1,8,4,6,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,3,1,7,6,8,4,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[4,2,3,5,1,8,6,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[2,3,4,5,6,10,1,7,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[2,3,4,5,10,1,6,7,8,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,5] => 5

[2,3,4,10,1,5,6,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [6,4] => 6

[6,8,5,1,7,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,8,5,2,7,4,1,3] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,5,8,1,6,4,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,5,8,2,6,4,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,3,2,8,1,7,5,4] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,6,8,7,1,3,5,4] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[5,3,8,7,6,2,1,4] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[3,7,6,1,4,5,2,8] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[4,1,6,2,7,5,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,6,2,5,3,1,4,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[4,3,1,7,6,2,5,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[4,5,3,1,2,8,6,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[2,4,5,3,1,8,6,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,1,3,7,5,2,6,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,5,4,1,3,2,6,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[2,4,8,5,6,3,1,7] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,1,1] => 4

[2,5,7,4,1,3,6,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[2,6,8,4,5,3,1,7] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,2,2,1] => 3

[5,2,3,7,4,1,6,8] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[4,5,1,6,3,2,7,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[5,1,6,3,2,4,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[4,2,5,1,6,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,1,6,2,4,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[5,3,4,8,7,6,2,1] => [[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [3,1,1,1,1,1] => 3

[8,3,1,6,7,5,4,2] => [[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 3

[8,4,6,5,7,2,3,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[1,8,2,6,7,4,5,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[8,5,7,2,4,3,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[8,5,3,6,4,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[8,2,5,3,6,7,4,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 4

[6,8,5,2,7,1,3,4] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[7,6,4,5,2,1,8,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,5,1,4,6,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[7,3,8,5,4,2,1,6] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[6,3,4,7,2,8,5,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[1,4,5,8,3,2,6,7] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[5,2,7,4,3,8,6,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[2,7,3,4,8,5,6,1] => [[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [5,1,1,1] => 5

[6,2,3,7,4,5,8,1] => [[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 5

[1,6,3,2,7,5,8,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[7,3,5,2,6,8,1,4] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[6,4,2,7,1,5,8,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[4,2,5,3,6,7,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 5

[1,6,5,2,4,7,3,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,8,7,2,4,6,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,8,7,2,5,4,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,5,4,2,8,7,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[1,2,8,3,6,5,4,7] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 5

[1,8,6,5,2,4,7,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[1,7,5,3,2,6,4,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,7,3,2,8,4,6,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,6,5,2,8,4,7,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[5,4,2,8,7,6,1,3] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,6,3,2,5,7,4,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[7,3,2,1,6,5,8,4] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[7,3,2,6,1,5,8,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,8,5,2,7,1,4,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,8,2,5,1,7,4,3] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[6,8,5,7,2,1,4,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[6,5,8,2,7,4,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,2,6,7,8,1,3,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[4,6,5,1,3,7,8,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[5,1,7,2,6,4,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,2,3,6,7,8,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [5,2,1] => 5

[2,4,3,6,7,8,1,5] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[6,8,5,2,7,3,1,4] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[6,5,1,3,7,8,2,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,1,5,4,2,3,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,1,2,4,6,3,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[7,1,2,6,5,3,8,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[7,5,6,1,2,4,8,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[7,1,4,5,2,3,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[6,1,4,8,7,2,3,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[1,6,7,5,8,3,4,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,2,2,1] => 3

[6,1,4,7,8,2,3,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[5,8,6,1,2,4,7,3] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[1,6,8,7,5,3,4,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [3,2,1,1,1] => 3

[6,1,8,7,5,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[8,3,1,2,4,5,7,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[6,7,1,4,2,3,5,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[6,7,8,5,1,2,4,3] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[9,6,5,4,3,2,7,1,8] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[4,3,8,5,6,2,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[4,3,8,6,7,2,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[7,6,8,1,5,3,4,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,4,6,1,5,3,8,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,3,8,1,7,2,5,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,1,5,4,8,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[6,2,5,4,7,1,8,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,3,6,7,5,1,2,4] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[6,8,2,1,3,5,4,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,5,1,6,4,8,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,4,8,5,6,1,3,7] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[5,3,8,4,2,7,6,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[2,8,5,3,1,4,7,6] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[1,7,8,4,6,3,2,5] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[8,7,3,2,1,6,4,5] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[7,8,3,4,6,5,2,1] => [[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [3,2,1,1,1] => 3

[8,7,3,6,5,2,4,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[8,7,1,4,5,3,6,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[7,3,8,6,2,1,4,5] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[5,8,6,4,7,2,3,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,1,2,7,5,6,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[8,2,7,3,4,6,1,5] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[6,7,5,4,8,1,3,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,3,5,6,4,7,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[8,5,6,2,4,3,7,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,5,8,1,3,4,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,8,4,5,1,3,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,4,8,7,5,3,2,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,1,1,1,1,1,1] => 2

[6,7,1,4,3,2,8,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[7,2,5,1,4,8,3,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,8,1,3,4,2,7,6] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,2,7,6,8,4,5,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[6,4,1,5,2,8,7,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[7,6,5,3,1,8,2,4] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[2,6,1,5,7,4,8,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[3,6,5,2,1,4,7,8] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[3,5,7,6,2,4,1,8] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[3,5,8,2,1,4,6,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[3,5,8,2,4,6,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[5,3,8,2,1,4,6,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[5,3,1,8,2,4,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[5,1,3,8,2,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[1,5,8,4,2,3,6,7] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[5,8,2,4,1,6,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,8,2,4,6,3,1,7] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[5,8,2,4,3,6,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[5,8,1,4,6,2,3,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[1,5,8,4,6,7,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[5,1,8,4,6,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[3,8,4,6,7,2,1,5] => [[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [4,2,1,1] => 4

[3,8,4,6,7,2,5,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[8,4,3,6,7,2,1,5] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[1,8,6,4,2,3,5,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[3,8,1,6,2,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[3,8,6,2,1,4,5,7] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[8,3,6,2,4,5,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,1,3,6,2,4,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[8,3,6,7,2,1,4,5] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[3,8,6,7,2,1,4,5] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[8,2,6,4,5,1,7,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,4,6,2,3,7,5,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[8,4,2,1,5,3,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[1,6,2,5,8,4,7,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [4,2,1,1] => 4

[2,1,5,8,7,3,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[4,3,1,7,8,5,2,6] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,8,5,3,6,4,7,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[5,3,2,7,8,6,4,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[2,8,3,7,1,4,6,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,8,7,1,5,3,6,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,3,5,6,4,2,8,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[3,8,4,2,7,6,5,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[2,6,8,1,5,3,4,7] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,2,5,6,8,1,4,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[3,8,1,6,4,5,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[8,1,3,6,5,4,2,7] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[7,4,3,6,2,1,8,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,7,2,3,1,4,8,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[1,8,6,4,7,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [3,1,1,1,1,1] => 3

[2,8,5,1,7,4,6,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[1,8,6,4,7,5,2,3] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[1,2,8,6,4,7,5,3] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [4,1,1,1,1] => 4

[3,4,5,7,8,9,1,2,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[3,5,6,7,8,9,1,2,4] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[3,4,5,6,8,9,10,1,2,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[3,5,6,7,8,9,10,1,2,4] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[3,4,5,6,7,8,1,2,9,10] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[3,4,5,6,9,1,2,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[3,4,5,6,1,2,7,8,9] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[4,1,8,6,3,7,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 3

[8,4,3,1,6,2,5,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,5,4,3,8,1,6,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[5,3,1,6,2,8,7,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[3,5,4,1,7,8,2,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[3,1,5,7,8,4,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[6,1,3,7,4,5,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[1,8,6,3,5,4,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[2,6,1,8,5,3,4,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,5,7,8,1,6,3,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[2,5,7,8,4,6,3,1] => [[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [4,2,1,1] => 4

[2,5,4,1,8,6,7,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,6,8,3,4,2,7,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[4,1,5,3,8,6,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[7,3,5,1,4,8,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[7,1,3,2,4,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[5,1,7,8,2,4,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[8,5,4,6,1,7,3,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,3,2,1,4,6,8,7] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[5,3,2,4,7,1,8,6] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,8,1,7,3,5,6,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[1,7,6,4,2,5,3,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[7,6,4,2,8,3,1,5] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[2,6,5,7,1,4,8,3] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[3,5,1,7,8,4,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,5,2,4,6,8,7,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [5,1,1,1] => 5

[4,3,8,5,1,7,6,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,1,3,2,8,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,5,3,2,4,7,1,6] => [[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [3,2,1,1,1] => 3

[8,5,4,2,6,3,1,7] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[8,5,2,1,6,4,3,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,4,6,5,1,3,2,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,3,8,4,7,5,2,6] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[5,3,7,1,4,6,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[5,7,2,6,1,4,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[3,8,5,7,6,1,2,4] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[8,4,7,5,2,1,3,6] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[3,8,6,4,7,2,1,5] => [[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [3,2,1,1,1] => 3

[5,2,7,4,6,8,3,1] => [[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 4

[2,5,6,4,8,1,7,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[5,7,2,1,6,8,3,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,7,8,5,1,6,2,3] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[4,5,6,3,1,7,8,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[3,5,6,7,4,1,8,2] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[3,5,1,4,2,8,7,6] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[3,5,1,4,2,6,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[3,5,1,4,2,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[1,2,8,6,7,5,4,3] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [4,1,1,1,1] => 4

[1,7,5,4,3,2,6,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 4

[3,8,5,7,4,6,2,1] => [[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [3,2,1,1,1] => 3

[3,8,7,4,5,2,6,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[6,5,2,4,1,3,8,7] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,6,3,2,5,1,8,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[4,6,3,7,5,8,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[4,2,5,7,8,6,3,1] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,1,1,1,1] => 4

[3,6,8,4,5,2,1,7] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[4,2,5,8,7,6,3,1] => [[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [3,1,1,1,1,1] => 3

[7,2,8,3,1,6,4,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,3,4,1,8,5,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[8,7,2,5,1,4,3,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,4,1,3,2,7,6,5] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[8,6,5,1,7,4,2,3] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[3,4,8,2,1,7,6,5] => [[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,1,1,1] => 3

[3,8,4,2,1,7,6,5] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,4,1,7,5,2,6,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,4,2,7,5,3,1,6] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,4,3,7,5,1,2,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,5,7,6,4,3,1,2] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,4,7,6,5,2,1,3] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[8,3,5,7,6,2,4,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[7,3,8,2,4,6,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[1,5,2,6,8,3,7,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[5,1,7,8,3,6,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[7,2,8,4,1,3,5,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[6,2,1,7,3,8,4,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,8,2,1,3,4,6,7] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[4,2,5,1,8,3,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,4,2,8,3,1,5,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,7,8,5,2,1,4,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[7,3,4,1,8,6,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,7,6,3,5,8,2,1] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,1,1] => 3

[3,7,6,5,2,4,8,1] => [[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [3,2,1,1,1] => 3

[1,6,7,8,3,2,5,4] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,2,1,1] => 4

[1,3,2,7,8,4,6,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[5,7,1,4,6,2,8,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[6,3,1,4,7,8,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[9,8,7,1,5,6,4,3,2] => [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [3,1,1,1,1,1,1] => 3

[9,1,7,8,6,5,4,3,2] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [3,1,1,1,1,1,1] => 3

[4,5,7,1,8,6,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,3,8,6,5,2,7,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[2,3,8,6,5,1,7,4] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[5,4,7,3,1,2,6,8] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[3,1,2,6,5,7,8,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[7,3,2,6,1,4,8,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[3,7,5,6,2,4,1,8] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[5,3,4,2,7,1,8,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[6,5,2,1,3,8,4,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[2,4,3,5,6,8,1,7] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[6,3,1,2,7,8,4,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[8,4,7,1,2,5,3,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,4,6,1,8,5,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,5,6,7,2,1,4,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[2,5,6,3,8,4,7,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[1,7,6,2,8,3,5,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[4,1,3,8,5,2,7,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[1,8,5,4,7,2,3,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[5,7,8,1,3,2,4,6] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[8,2,4,1,6,7,3,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,7,3,6,2,4,1,5] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[1,7,4,8,3,6,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,7,5,8,4,3,2,6] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[6,3,1,2,7,8,5,4] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[6,3,1,2,8,7,5,4] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[8,4,7,2,6,3,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,2,5,7,8,3,6,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1] => 5

[7,6,3,4,2,1,8,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,6,2,3,7,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[3,4,5,8,1,7,2,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[6,3,4,2,7,8,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,6,3,4,7,2,1,5] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[4,5,6,2,1,7,8,3] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[4,5,6,2,1,7,3,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[4,5,1,6,7,3,2,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[2,5,1,8,3,7,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,7,2,1,3,8,4,6] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[9,8,7,6,5,3,2,4,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,1,1,1,1,1,1,1] => 2

[10,9,8,7,6,5,4,2,3,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,1,1,1,1,1,1,1,1] => 2

[2,7,4,5,6,8,1,3] => [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [5,2,1] => 5

[2,3,4,6,8,1,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[2,3,4,5,7,9,1,8,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[2,3,5,8,1,6,7,4] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[2,4,7,5,6,8,1,3] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => 5

[3,2,4,5,6,7,9,1,8] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[2,3,4,5,6,8,10,1,9,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[4,7,6,5,2,8,3,1] => [[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,5,4,1,6,8,2,3] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[4,2,3,5,6,7,9,1,8] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[8,5,2,1,7,6,3,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[3,6,5,1,4,8,2,7] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,1,4,6,3,8,7] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,1,5,6,4,2,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[8,5,6,4,3,1,7,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,3,5,6,7,1,2,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[3,7,6,4,2,8,1,5] => [[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,2,2,1,1] => 2

[8,4,7,5,1,6,3,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,1,5,3,7,8,6,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[5,1,4,7,6,8,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[8,4,1,3,7,6,5,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[8,3,4,1,6,7,5,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[8,1,4,2,6,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,6,4,3,7,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [2,2,1,1,1,1] => 2

[5,8,1,4,3,2,6,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[1,6,4,3,8,2,7,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[7,8,1,4,3,2,5,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[7,1,8,4,5,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[4,3,2,7,5,1,8,6] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[5,2,3,7,4,1,8,6] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[2,1,7,4,3,6,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[7,1,2,4,5,6,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,1,1] => 6

[2,8,7,1,4,5,6,3] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[8,7,1,3,4,5,6,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[1,7,2,5,4,6,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[2,5,3,8,1,6,7,4] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[1,6,4,2,5,7,8,3] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [5,1,1,1] => 5

[6,5,3,4,1,7,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,6,3,4,1,7,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,5,3,1,4,7,8,6] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[6,8,2,3,1,5,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,2,3,1,4,7,8,6] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[7,2,1,3,5,6,8,4] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[7,3,6,4,5,8,1,2] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[6,4,3,7,5,8,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 3

[5,2,4,7,8,6,3,1] => [[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,1,1,1,1] => 4

[5,4,8,7,2,3,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[8,1,4,5,3,6,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,3,5,1,4,6,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,5,7,2,1,8,4,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,5,4,7,3,8,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[7,4,1,3,8,5,6,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[3,6,8,4,1,7,2,5] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[2,7,5,6,8,4,3,1] => [[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [4,1,1,1,1] => 4

[1,6,2,7,4,5,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 5

[7,4,2,6,1,5,8,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[7,3,4,5,1,6,8,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[8,4,2,7,6,1,5,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,7,1,2,6,5,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[8,4,7,6,1,2,5,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[8,7,6,2,1,5,3,4] => [[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 3

[5,7,8,1,6,2,4,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,8,7,4,2,5,1,3] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[4,1,2,6,5,3,7,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[4,6,1,3,5,2,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,6,1,2,5,3,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[5,8,4,7,1,3,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,4,7,1,3,5,2,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,8,1,6,5,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,6,1,4,8,3,2,7] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[3,6,4,1,7,2,8,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,2,6,3,7,8,4,1] => [[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 4

[2,4,1,3,7,8,6,5] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [4,2,1,1] => 4

[5,1,6,4,7,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,4,6,3,7,5,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,7,4,8,1,2,6,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[3,6,7,5,8,1,4,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[3,7,5,6,8,2,4,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[2,7,1,6,8,4,5,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,5,4,7,2,6,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[2,4,5,8,3,1,7,6] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[1,4,7,5,8,3,6,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1] => 4

[2,6,8,7,3,5,1,4] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[4,7,8,6,2,5,1,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[4,8,7,3,5,6,2,1] => [[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,1,1] => 3

[1,7,6,3,5,4,2,8] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[4,3,8,1,6,5,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[4,6,5,1,2,7,3,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[5,6,4,1,2,7,3,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[8,1,5,6,2,4,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,4,5,1,2,7,3,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[5,4,6,1,3,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,7,1,4,3,2,6,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,6,4,1,3,7,5,8] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[7,8,5,3,2,1,6,4] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,1,4,8,2,7,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[5,2,3,7,1,8,4,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[7,2,3,1,8,4,6,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,4,1,7,3,2,8,6] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,3,4,5,1,8,6,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[1,5,6,7,4,8,2,3] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[4,5,2,7,6,3,1,8] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[2,6,7,8,3,1,4,5] => [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,1] => 4

[6,3,2,5,1,7,8,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,6,7,1,8,4,2,3] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[1,7,3,2,8,6,5,4] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[3,7,1,2,8,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[2,7,8,1,6,5,3,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[5,8,2,7,6,3,1,4] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[2,8,4,7,6,3,1,5] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[1,8,2,4,7,6,3,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[4,5,8,7,1,6,2,3] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,5,1,8,4,7,6,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[3,4,2,8,1,7,6,5] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[3,1,8,2,6,7,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[1,6,5,2,8,7,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[2,6,1,5,8,7,3,4] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[8,1,3,2,7,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,3,4,8,6,2,5,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[7,5,8,1,6,2,3,4] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,6,1,3,5,2,4,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,8,5,4,7,1,3,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,5,8,1,3,4,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,4,2,8,3,5,7,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 5

[1,6,2,4,8,3,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[1,7,8,5,4,2,6,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[1,6,5,2,7,4,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[5,1,6,7,4,2,8,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[1,5,4,2,8,6,7,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[1,8,5,4,6,2,7,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[1,7,5,4,6,2,8,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[6,4,5,1,7,2,8,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,8,1,3,7,6,2,5] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[6,4,2,3,1,8,7,5] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,5,2,1,3,8,7,4] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[7,6,1,8,2,5,3,4] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,7,8,1,2,4,3,6] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[1,7,6,8,3,5,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [3,2,1,1,1] => 3

[6,5,7,4,1,3,2,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,6,1,8,3,5,2,7] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,1,6,8,2,5,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[4,7,1,8,3,2,5,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,8,3,6,1,5,2,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,4,3,6,2,5,1,7] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[1,6,8,7,4,3,5,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [3,2,1,1,1] => 3

[5,7,4,2,1,8,6,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,6,5,7,2,4,3,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,4,6,1,8,5,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,4,6,3,8,1,5,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,4,8,1,6,3,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,4,8,2,5,7,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,4,6,2,7,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[6,8,4,2,7,1,3,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[6,8,2,4,1,7,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,2,5,7,1,6,8,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,5,2,3,8,7,1,6] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[2,5,4,7,6,1,3,8] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[5,2,3,7,6,1,4,8] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[4,2,3,7,6,1,5,8] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[5,6,2,3,1,7,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,5,2,3,1,7,8,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,5,2,3,8,4,7,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[7,5,2,1,4,6,8,3] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[8,5,2,3,1,6,4,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,2,3,1,5,4,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,2,6,3,1,7,4,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,6,3,4,2,7,5,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[1,7,2,4,5,6,8,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [6,1,1] => 6

[1,8,3,2,5,6,4,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[7,2,8,1,4,6,3,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,7,8,1,5,6,3,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,8,2,3,1,5,4,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,2,3,1,6,4,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[4,2,7,1,5,6,8,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[4,2,3,8,1,7,5,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,2,1,5,3,7,6,8] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[5,1,3,4,2,7,6,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,1,3,4,2,7,5,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[7,2,1,3,5,8,4,6] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[6,2,7,3,4,5,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,5,7,2,8,3,6,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[9,7,5,3,1,8,6,4,2] => [[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [2,1,1,1,1,1,1,1] => 2

[5,2,1,3,6,7,8,4] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[7,5,2,6,1,8,4,3] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,1,5,2,7,8,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[7,5,6,8,4,1,3,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[8,3,7,5,1,4,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,1,5,7,3,6,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,5,3,7,4,1,2,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,5,6,2,7,1,3,4] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,4,7,2,6,5,1,3] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,5,7,3,2,6,1,4] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[3,4,2,8,1,6,7,5] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[8,3,4,1,5,7,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,3,7,5,1,6,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,2,6,1,4,3,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,3,7,4,2,8,6,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[7,4,8,2,3,5,6,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[4,1,6,3,5,7,2,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[7,2,5,8,6,1,4,3] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[4,3,6,1,5,7,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[3,5,4,1,2,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[5,3,1,4,6,7,8,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[4,6,7,1,3,5,8,2] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[5,6,1,3,4,7,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,5,3,7,8,4,6,1] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [4,2,1,1] => 4

[3,6,2,4,1,7,5,8] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,1,3,8,4,5,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[7,1,8,3,4,6,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,2,7,1,4,5,3,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,2,6,1,5,7,3,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,4,1,3,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[5,4,1,2,6,7,3,8] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[6,5,2,7,4,1,3,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[6,5,7,3,1,4,2,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,7,4,3,1,5,8,2] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[4,2,5,6,7,8,9,1,3] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[7,4,5,6,2,1,8,3] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[6,4,5,2,7,1,8,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[1,7,6,3,8,4,5,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[6,4,1,2,7,8,3,5] => [[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [4,2,1,1] => 4

[6,4,1,3,5,2,7,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,1,8,3,4,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,8,1,5,4,2,3,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,7,2,5,1,6,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[6,5,4,7,2,8,3,1] => [[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [2,2,1,1,1,1] => 2

[3,5,4,8,7,1,6,2] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[7,5,2,1,6,3,4,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[6,3,1,7,4,2,5,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,7,2,1,5,3,6,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,2,8,1,5,6,4,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[8,3,6,4,1,5,7,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[7,5,6,1,4,8,2,3] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,7,2,6,3,8,4,1] => [[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [3,2,1,1,1] => 3

[6,8,1,3,2,7,5,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[5,7,3,6,4,1,2,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[2,5,4,6,1,3,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,4,3,5,8,1,6,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,6,5,3,8,1,4,7] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[6,1,2,4,3,5,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,1,1] => 6

[6,5,8,2,7,3,4,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[1,7,6,8,4,3,2,5] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[1,7,6,5,3,8,2,4] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[6,1,2,4,3,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[4,6,1,3,7,8,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[6,3,5,2,7,1,4,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,5,2,6,7,1,4,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[5,3,8,7,1,4,2,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,5,3,1,8,7,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[2,8,6,1,5,4,7,3] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,3,2,6,1,5,7,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[3,8,6,4,7,1,2,5] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[1,8,7,5,4,3,2,6] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [3,1,1,1,1,1] => 3

[8,6,4,7,1,3,2,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[3,1,4,7,6,2,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[5,3,4,1,6,2,7,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,7,1,4,6,3,5,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[7,3,1,6,5,2,4,8] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,1,4,5,2,7,3,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,1,5,8,2,7,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[7,1,2,3,6,4,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,1,1] => 6

[2,8,4,6,5,1,7,3] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[5,7,2,8,1,3,6,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,5,1,4,7,3,2,8] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,7,8,4,1,3,6,5] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[2,4,6,5,7,8,1,3] => [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [5,2,1] => 5

[2,4,6,7,5,8,1,3] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,2,2] => 4

[2,4,6,3,7,8,1,5] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[2,4,5,6,8,7,1,3] => [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,2,1] => 5

[2,4,5,6,8,3,7,1] => [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [5,2,1] => 5

[2,4,5,6,3,8,1,7] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[2,3,4,6,8,5,1,7] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [5,2,1] => 5

[3,6,4,1,2,7,8,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[1,5,2,7,6,8,4,3] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [4,1,1,1,1] => 4

[4,7,6,8,3,1,2,5] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[4,8,2,7,6,5,1,3] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[7,4,2,8,6,5,1,3] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[8,6,5,2,7,1,4,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,5,8,2,7,1,4,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,5,8,2,1,6,4,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,3,1,4,5,8,2,7] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[4,8,7,1,3,2,6,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,4,1,8,7,6,2,5] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[2,8,7,5,4,1,6,3] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[8,1,5,7,4,2,6,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[4,6,1,3,2,8,5,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,6,5,8,3,1,4,7] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[3,2,8,4,5,7,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[8,3,6,4,2,7,1,5] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[1,3,8,4,7,6,2,5] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[8,3,7,5,4,1,2,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[5,4,3,7,6,1,8,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,6,3,7,1,4,2,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,4,1,2,3,7,6] => [[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 4

[8,3,2,1,6,4,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[2,3,8,4,1,7,5,6] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[6,7,2,5,8,4,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[3,4,6,7,1,5,8,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[3,4,5,7,8,1,6,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[1,8,7,4,3,5,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[2,4,5,8,1,3,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[6,3,1,5,8,4,2,7] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[2,8,3,5,6,1,4,7] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[2,3,7,5,8,1,4,6] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[7,2,5,8,1,4,6,3] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[4,7,5,8,1,2,6,3] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[4,7,5,8,1,2,3,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[3,4,7,5,2,8,1,6] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[2,4,7,5,8,3,1,6] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,1,1] => 4

[2,5,4,7,3,8,1,6] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[3,7,8,4,2,1,6,5] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[5,6,7,9,1,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[4,5,6,7,9,1,2,3,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[7,8,10,1,2,3,4,5,6,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[4,5,6,7,8,10,1,2,3,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[1,5,4,8,7,6,2,3] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[3,2,4,5,8,1,6,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[3,6,8,4,2,7,1,5] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[4,8,3,7,6,2,1,5] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[7,4,1,6,2,8,5,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[1,3,6,8,2,4,7,5] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,3,1] => 4

[1,6,7,4,3,8,2,5] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[7,3,1,6,5,2,8,4] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[8,5,4,1,6,2,7,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[7,8,6,2,1,5,4,3] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,6,7,5,8,4,9,3,10,2] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,10,1] => [3,2,2,2,1] => 3

[4,5,6,7,8,1,2,3,9] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[4,8,1,6,3,7,2,5] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,8,4,6,3,5,1,7] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,7,8,3,6,4,5,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[3,8,1,4,6,5,2,7] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[2,7,5,4,1,8,3,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[4,6,1,8,5,3,2,7] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,1,4,8,2,6,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[4,5,8,1,3,7,6,2] => [[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,3,1,1] => 3

[8,6,7,1,4,3,2,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[1,4,7,8,6,3,5,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [4,2,1,1] => 4

[8,3,6,1,2,7,4,5] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[3,8,6,1,2,5,7,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[3,7,6,2,1,8,5,4] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,3,7,6,1,8,5,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,6,3,2,7,1,5,4] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,8,1,5,4,7,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,7,2,5,4,8,1,3] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[6,1,8,2,4,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,5,2,7,3,6,4,1] => [[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 3

[5,4,8,7,1,2,6,3] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[8,6,3,5,2,1,4,7] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[8,4,2,7,6,5,1,3] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[4,1,3,8,5,6,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[5,2,8,3,1,6,7,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[1,7,8,6,3,2,5,4] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[4,2,5,3,8,6,7,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[3,2,7,4,8,5,6,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[7,2,5,1,6,3,8,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,5,2,8,3,7,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[7,8,5,1,6,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,7,5,1,6,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[4,5,8,3,1,2,7,6] => [[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,3,1,1] => 3

[1,7,6,3,8,5,2,4] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[1,3,8,7,4,5,6,2] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [5,1,1,1] => 5

[7,3,1,8,4,5,6,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[6,2,4,3,7,5,8,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[1,3,2,8,7,4,6,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[7,5,2,8,3,1,6,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[6,2,5,4,1,7,8,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[8,5,1,6,3,2,4,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[2,8,5,1,3,7,6,4] => [[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,1,1] => 3

[2,4,5,8,3,7,6,1] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [4,2,1,1] => 4

[6,4,5,1,3,8,7,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[6,1,3,5,4,8,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[2,5,4,1,8,3,7,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[5,1,4,8,3,7,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[8,4,1,2,7,6,5,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[8,7,5,3,1,2,4,6,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[10,9,7,5,3,1,2,4,6,8] => [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,1,1,1,1,1] => 5

[5,3,1,2,4,6,8,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 5

[8,5,7,3,1,2,4,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[7,5,3,1,2,4,6,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 6

[1,4,3,8,5,7,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[6,7,1,5,2,8,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,8,1,3,6,2,7,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,7,3,4,8,6,5,1] => [[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [2,5,6,7,4,3,1,8] => [4,1,1,1,1] => 4

[1,8,2,4,7,3,6,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[6,2,3,8,1,5,7,4] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[2,5,7,4,8,3,6,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[8,5,6,2,4,7,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,1,5,7,3,6,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[4,3,7,1,2,8,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[3,8,6,2,7,5,4,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[4,8,1,6,2,5,3,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[1,8,4,2,5,7,3,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[5,8,3,1,2,4,6,7] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[1,4,8,5,2,3,6,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,4,8,5,2,3,7,6] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,5,4,2,8,3,7,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[8,7,1,3,2,5,4,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[6,7,4,2,8,1,3,5] => [[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [3,2,2,1] => 3

[4,1,6,8,7,2,3,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[2,1,4,3,6,5,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,4,3,7,5,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,4,3,7,5,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,4,3,8,5,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,5,3,6,4,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,5,3,6,4,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,5,3,7,4,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,5,3,7,4,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,5,3,8,4,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,6,3,7,4,8,5,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,6,3,7,4,9,5,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,6,3,8,4,9,5,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,7,3,8,4,9,5,10,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,4,2,6,5,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,4,2,7,5,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,4,2,7,5,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,4,2,8,5,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,5,2,6,4,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,5,2,8,4,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,6,2,7,4,8,5,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,6,2,7,4,9,5,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,6,2,8,4,9,5,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[3,1,7,2,8,4,9,5,10,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,5,2,6,3,9,7,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,5,2,7,3,8,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,5,2,7,3,9,6,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,5,2,8,3,9,6,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,6,2,7,3,8,5,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,6,2,7,3,9,5,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,6,2,8,3,9,5,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,7,2,8,3,9,5,10,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[5,1,6,2,7,3,9,4,10,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[5,1,6,2,8,3,9,4,10,7] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[5,1,7,2,8,3,9,4,10,6] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[6,1,7,3,5,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[2,6,4,8,7,3,1,5] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[6,1,8,5,7,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 3

[4,7,5,3,2,8,1,6] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,8,1,2,7,4,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[6,3,1,8,2,4,5,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,5,8,1,4,3,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,1,4,2,7,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[8,6,3,5,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,8,3,1,2,5,4,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[2,5,1,8,7,3,4,6] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[1,7,6,5,4,3,2,9,8] => [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [3,1,1,1,1,1,1] => 3

[6,8,4,3,5,1,7,2] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[1,4,7,3,6,8,2,5] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[3,7,1,4,6,8,2,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,4,7,3,6,8,1,5] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[8,5,7,6,1,3,2,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[2,7,5,6,1,8,4,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[1,2,6,7,4,5,8,3] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [5,2,1] => 5

[6,5,2,8,7,1,4,3] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,2,3,6,8,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[2,6,1,3,8,5,4,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[6,4,1,8,3,2,5,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[5,8,1,4,2,7,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,3,1,6,8,7,4,5] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[6,4,8,2,1,7,3,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[6,8,3,7,1,2,5,4] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[2,8,6,4,1,5,3,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[6,7,4,5,1,3,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[1,6,5,3,8,2,4,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [4,2,1,1] => 4

[8,7,4,5,1,3,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,1,2,7,4,3,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[3,2,4,6,1,8,7,5] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[3,6,7,4,1,2,5,8] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[1,6,8,4,7,3,2,5] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[4,5,7,2,6,3,8,1] => [[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,3,1,1] => 3

[2,3,5,7,8,1,6,4] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,2,1] => 5

[1,5,7,4,2,3,6,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[2,4,7,5,3,6,8,1] => [[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [4,2,1,1] => 4

[2,4,7,8,3,5,1,6] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[1,5,3,6,8,2,4,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[4,8,1,2,6,3,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[5,8,1,2,6,3,7,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[4,1,2,6,5,7,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 5

[1,8,4,2,7,3,6,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,7,5,2,3,8,6,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[8,1,4,7,3,5,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,4,3,6,1,7,2,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[2,6,1,8,3,7,4,5] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[8,4,2,1,3,7,5,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[2,5,1,7,6,8,3,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,2,6,3,7,5,8,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[2,8,5,7,3,1,4,6] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[2,6,8,7,3,1,4,5] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[7,4,2,1,3,8,5,6] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[7,2,1,3,8,5,4,6] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[2,1,7,3,8,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[3,4,1,6,5,7,8,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[2,8,7,3,4,1,5,6] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[5,7,6,2,3,8,1,4] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[4,5,7,6,2,8,1,3] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[3,1,8,7,5,2,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[4,5,6,8,7,2,1,3] => [[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [4,2,1,1] => 4

[2,8,3,1,5,4,7,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,8,4,1,5,2,7,6] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,8,6,2,4,3,7,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[2,8,3,1,6,4,7,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[6,2,7,1,5,8,4,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[1,4,5,6,7,8,9,3,2] => [.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [7,1,1] => 7

[5,4,3,1,2,7,6,8] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[4,1,6,5,2,3,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[7,1,5,2,3,6,4,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[4,6,1,2,8,3,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [4,2,1,1] => 4

[4,1,3,6,7,2,5,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[2,6,5,1,3,4,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[2,6,7,4,3,1,5,8] => [[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,3,1,1] => 3

[6,5,3,7,2,4,1,8] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[2,3,6,7,1,5,4,8] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[2,7,5,8,1,3,6,4] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[5,1,6,7,3,2,4,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[5,6,1,4,7,2,3,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[1,2,7,8,4,6,3,5] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,2,2] => 4

[8,6,5,2,1,7,4,3] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[4,3,8,6,7,1,5,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,3,2,4,7,1,6,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[7,3,2,8,6,1,5,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,5,8,2,6,1,4,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,4,1,2,6,5,8,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[5,2,7,4,6,1,8,3] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[5,4,8,6,3,2,1,7] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,4,6,7,3,1,5,2] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[1,8,5,3,2,4,6,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[1,8,7,5,3,4,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[1,7,8,5,3,4,2,6] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[1,7,6,8,4,2,3,5] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,7,8,6,4,3,2,5] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [3,2,1,1,1] => 3

[9,8,7,6,5,2,1,3,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[9,7,8,6,5,4,3,2,1] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[5,1,7,8,4,2,3,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[2,8,3,1,7,5,6,4] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,5,6,2,1,4,7,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[2,7,4,1,5,8,3,6] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,1,6,4,7,8,3,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[4,7,5,3,8,2,6,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[2,6,4,7,8,5,3,1] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [4,1,1,1,1] => 4

[2,5,1,8,4,6,7,3] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[7,2,6,1,4,8,3,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[7,8,1,2,4,6,3,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[7,2,8,3,4,5,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[7,6,8,1,4,2,3,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,4,3,7,8,5,6,1] => [[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [4,2,1,1] => 4

[2,1,7,6,3,4,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[3,2,4,8,6,1,7,5] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[2,1,3,8,4,5,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[3,1,2,8,5,4,7,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[2,1,3,7,8,4,6,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[2,1,3,8,4,7,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[3,1,2,8,4,5,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[1,2,8,7,5,4,6,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [4,1,1,1,1] => 4

[3,2,6,5,7,8,1,4] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[6,1,5,8,4,7,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[1,4,6,8,5,7,2,3] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[2,4,7,1,8,3,6,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,4,5,1,2,8,3,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[4,6,2,5,3,8,1,7] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,2,6,5,1,8,4,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,5,8,1,6,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,5,8,1,6,7,3,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[6,5,3,8,1,7,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,3,7,1,6,2,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[8,1,4,6,5,7,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[7,2,3,6,8,1,5,4] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[2,6,3,7,8,1,4,5] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[6,3,8,7,2,1,5,4] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[7,2,8,6,3,1,5,4] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,8,4,7,2,5,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[7,2,3,6,8,5,4,1] => [[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [4,1,1,1,1] => 4

[7,2,8,5,4,1,3,6] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[7,4,5,2,8,1,6,3] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,5,4,2,8,1,6,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[7,6,3,2,8,4,5,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[7,2,3,6,8,4,5,1] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [4,2,1,1] => 4

[7,2,5,4,8,3,6,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[7,4,5,2,8,3,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[5,1,3,2,4,6,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 5

[6,5,3,4,1,8,2,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,4,5,3,8,1,2,7] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[2,8,3,7,6,1,5,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[5,4,2,6,8,7,3,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[2,4,8,7,6,1,5,3] => [[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,2,1,1,1] => 3

[3,2,8,7,4,6,5,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[8,2,6,5,1,4,3,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[4,8,5,2,7,6,3,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[2,8,6,5,7,1,3,4] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[4,8,5,1,7,6,3,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,8,1,7,6,2,3,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[1,7,5,2,6,8,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[7,4,8,3,6,5,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,5,4,3,8,7,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[10,9,8,6,4,2,1,3,5,7] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,1,1,1,1,1,1] => 4

[10,8,7,6,4,2,1,3,5,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,1,1,1,1,1,1] => 4

[10,9,8,7,6,4,2,1,3,5] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[10,8,6,5,4,2,1,3,7,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,1,1,1,1,1,1] => 4

[10,9,8,6,5,4,2,1,3,7] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[10,8,7,6,5,4,2,1,3,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[10,8,6,4,3,2,1,5,7,9] => [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,1,1,1,1,1,1] => 4

[10,9,8,6,4,3,2,1,5,7] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[10,8,7,6,4,3,2,1,5,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[10,8,6,5,4,3,2,1,7,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[3,5,6,2,4,7,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[3,5,7,6,8,2,4,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,2,1,1] => 4

[3,5,7,4,2,6,8,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1] => 3

[3,5,4,7,8,2,6,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[3,5,7,4,2,8,6,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1] => 3

[2,3,5,7,8,4,6,1] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [5,2,1] => 5

[3,2,5,6,7,8,9,1,4] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[8,1,4,2,5,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[8,4,1,3,5,2,6,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[3,1,8,2,5,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[4,2,5,1,8,7,6,3] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,2,4,8,1,7,6,3] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[1,4,8,6,7,2,5,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[1,4,5,7,3,8,2,6] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[4,6,8,1,2,5,3,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[8,2,5,4,1,3,7,6] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,4,8,2,3,1,7,6] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,7,5,8,2,3,1,6] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[4,6,7,5,1,8,3,2] => [[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,1,1,1] => 3

[1,7,3,6,5,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[8,3,4,2,6,7,1,5] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[7,3,1,8,2,6,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[4,6,7,5,2,8,3,1] => [[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,1,1,1] => 3

[5,1,2,8,6,7,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[4,6,7,2,1,5,3,8] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[1,7,6,2,4,3,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[5,7,1,6,2,3,4,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[5,6,8,7,1,3,2,4] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[1,5,3,4,8,2,6,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[2,1,3,6,5,8,4,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[5,1,2,8,6,3,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[6,1,5,7,8,4,2,3] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[5,6,8,3,7,4,2,1] => [[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,1,1,1] => 3

[4,6,1,5,7,2,8,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,5,8,4,6,3,7,1] => [[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,2,2,1] => 3

[4,3,7,1,2,6,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,1,6,5,2,7,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[6,8,1,5,2,7,4,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[4,5,8,2,3,7,6,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[1,7,3,2,4,8,6,5] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[4,8,1,3,2,5,7,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[1,7,5,3,8,6,2,4] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[2,5,3,8,1,4,7,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[8,1,2,4,3,5,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 5

[2,4,3,8,1,5,7,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[3,1,7,4,8,6,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[2,7,3,8,5,1,6,4] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[8,7,3,2,5,6,4,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[3,1,8,2,6,5,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,6,2,8,1,4,5,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,3,8,4,1,5,7,6] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[8,4,2,3,1,5,7,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[2,7,8,1,4,3,6,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,5,8,1,3,2,4,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,1,8,5,3,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[8,4,1,3,2,5,6,7] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[2,8,6,3,1,5,4,7] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,5,6,3,8,1,4,7] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[7,4,5,6,8,1,3,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[7,6,8,1,4,5,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[1,7,8,5,6,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [3,2,1,1,1] => 3

[2,8,1,7,4,5,3,6] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,3,6,2,5,4,8,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[1,8,5,6,4,3,7,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,2,1,1,1] => 3

[2,6,8,4,5,1,7,3] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[4,6,5,7,8,1,3,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[2,5,8,6,4,7,1,3] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[5,3,2,1,7,8,4,6] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[8,4,1,3,6,7,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[5,3,8,1,4,7,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,3,5,8,1,7,6,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[4,6,2,5,1,7,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,3,5,1,7,6,4,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,3,1,7,4,8,6,5] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[1,8,3,6,4,2,7,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[8,6,4,7,5,1,3,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[1,2,7,8,6,4,5,3] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [4,2,1,1] => 4

[4,8,1,2,6,5,3,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[7,1,8,3,2,6,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[7,2,5,1,6,4,3,8] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[5,2,7,1,4,6,3,8] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[6,3,8,5,7,1,4,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,4,3,8,5,7,1,6] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[2,8,3,1,4,6,5,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[4,5,7,6,1,3,8,2] => [[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,3,1,1] => 3

[3,7,1,6,5,8,2,4] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[7,4,3,6,8,2,1,5] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[3,8,5,4,7,6,1,2] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[4,6,5,1,3,8,7,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[5,4,6,2,1,8,7,3] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,2,8,5,1,4,6,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[3,5,4,1,2,8,6,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[5,3,8,1,4,2,6,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[5,3,8,1,4,2,7,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,4,7,5,8,6,2,3] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [4,2,1,1] => 4

[8,5,7,6,3,4,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,5,2,6,1,4,8,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,4,5,1,8,3,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,4,5,3,1,7,8,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,3,5,6,4,1,8,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[2,3,4,7,8,9,1,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[2,3,6,7,8,9,1,4,5] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[2,5,6,7,8,9,1,3,4] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[2,3,4,5,8,9,10,1,6,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[2,3,4,7,8,9,10,1,5,6] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[2,3,6,7,8,9,10,1,4,5] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[2,5,6,7,8,9,10,1,3,4] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,3] => 7

[2,5,6,3,4,1,8,7] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[4,6,2,1,5,8,3,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[4,6,7,2,3,8,5,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[2,3,5,8,7,4,1,6] => [[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,2,1,1] => 4

[2,3,5,8,1,6,4,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[8,6,1,5,4,2,7,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[2,8,5,6,3,1,4,7] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[4,8,2,6,1,5,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[2,3,7,8,1,5,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[5,6,2,7,8,3,1,4] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[2,3,7,5,8,4,6,1] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,2,1,1] => 4

[3,7,8,5,1,4,6,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[2,5,6,7,1,8,4,3] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[1,2,8,7,4,6,5,3] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [3,4,6,7,5,8,2,1] => [4,1,1,1,1] => 4

[4,3,2,7,6,1,5,8] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[7,2,6,5,3,1,4,8] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[1,3,7,6,2,4,8,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,3,8,2,7,4,6,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[8,2,7,1,6,4,3,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[4,3,2,8,1,7,5,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,4,1,6,3,8,2] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[4,3,7,2,5,1,6,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[8,3,7,5,4,2,6,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[1,6,8,7,5,2,3,4] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[1,3,6,2,5,4,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[4,6,7,5,1,3,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[3,6,5,1,4,7,8,2] => [[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [4,2,1,1] => 4

[4,6,7,3,1,5,8,2] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[6,2,5,1,8,7,3,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[3,2,6,1,5,8,7,4] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[4,2,3,6,7,5,1,8] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[6,2,3,5,7,4,1,8] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[1,6,3,8,4,7,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[7,5,8,1,4,2,3,6] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[1,3,4,8,5,6,2,7] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1] => 5

[3,2,7,1,8,6,5,4] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[6,2,4,1,5,7,8,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[5,2,8,1,7,4,6,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,5,4,7,3,1,8,6] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[4,6,3,1,2,5,7,8] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[7,4,6,8,3,1,2,5] => [[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [3,3,1,1] => 3

[8,5,4,7,3,1,2,6] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[7,3,2,1,5,4,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[2,5,6,4,8,1,3,7] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[1,3,6,5,2,4,7,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[5,4,1,2,7,6,3,8] => [[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 4

[5,8,7,3,1,2,4,6] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[2,7,8,1,4,5,3,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,1,2,8,7,3,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[6,1,2,4,3,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[3,7,8,1,2,4,6,5] => [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [4,3,1] => 4

[7,3,4,1,2,6,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,4,3,1,2,6,5,7] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[3,8,2,7,4,5,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[8,2,6,1,3,5,4,7] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,2,4,5,1,7,3,6] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,3,8,1,7,5,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,4,3,7,1,5,6,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[8,3,4,7,2,6,5,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[8,3,7,1,4,5,6,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[8,7,3,6,1,2,5,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,7,2,3,6,1,5,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,2,4,7,3,1,6,5] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[8,2,7,6,3,1,4,5] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[6,8,1,4,7,3,2,5] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[8,5,7,2,6,3,1,4] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,4,7,2,3,6,5,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[8,1,4,7,3,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[2,3,1,9,8,7,6,5,4] => [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [2,2,1,1,1,1,1] => 2

[2,8,1,5,3,7,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[2,3,8,4,7,1,6,5] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[1,4,7,6,2,3,5,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[1,7,3,8,6,2,5,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[5,8,2,3,7,4,1,6] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[1,3,5,6,4,8,2,7] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[4,6,1,8,2,7,5,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[3,4,8,5,6,1,2,7] => [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [4,3,1] => 4

[1,7,6,2,5,4,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[3,1,5,6,4,2,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[2,1,6,5,3,8,7,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[3,7,5,6,4,2,1,8] => [[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [3,2,1,1,1] => 3

[6,1,4,3,7,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[3,8,6,4,5,2,7,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[4,6,8,5,3,7,2,1] => [[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [3,2,1,1,1] => 3

[4,5,7,2,8,6,3,1] => [[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,1,1,1] => 3

[3,7,4,5,1,6,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[4,6,8,1,2,5,7,3] => [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [4,3,1] => 4

[4,6,8,5,1,3,7,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[3,7,8,4,6,1,5,2] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[4,5,7,2,1,6,8,3] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[4,5,1,6,8,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,4,2,6,5,3,8,7] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[3,1,5,8,4,6,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[4,6,5,8,2,1,3,7] => [[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [3,3,1,1] => 3

[1,4,8,3,5,6,2,7] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[7,3,2,4,8,1,6,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[3,7,2,4,5,8,1,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[3,2,7,4,6,1,8,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[8,3,2,4,6,1,7,5] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,4,7,2,3,5,6,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[3,8,6,7,1,5,4,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,3,2,8,6,1,5,7] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[4,1,6,3,2,5,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[5,4,8,7,6,2,3,1] => [[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [2,2,1,1,1,1] => 2

[8,4,6,3,1,5,2,7] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[3,6,1,5,2,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[2,7,1,5,3,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[8,4,5,1,2,7,6,3] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[5,2,3,8,7,1,6,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[7,5,2,4,1,3,8,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,2,6,8,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[8,6,5,4,1,3,7,2] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[8,2,3,4,1,6,7,5] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[7,4,3,8,1,6,5,2] => [[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,7,6,2,5,8,1,3] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[2,6,4,5,8,3,1,7] => [[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [4,2,1,1] => 4

[3,7,4,8,6,2,5,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[7,3,5,2,8,1,4,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[1,5,8,7,4,2,3,6] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[1,7,2,4,5,8,6,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [5,1,1,1] => 5

[1,7,3,2,8,5,6,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[1,6,5,2,4,8,3,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,7,3,8,4,2,5,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[1,6,2,7,4,3,8,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[1,5,8,2,3,6,4,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[6,8,9,1,2,3,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[5,8,9,1,2,3,4,6,7] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[2,5,3,6,7,1,4,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[6,4,1,5,7,2,3,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[6,4,1,5,7,3,8,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[1,2,7,3,8,5,6,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 5

[6,5,8,3,2,7,1,4] => [[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [2,2,2,1,1] => 2

[8,4,3,1,7,6,5,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 2

[3,4,5,6,7,9,1,8,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[3,4,5,6,8,2,7,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,2,1] => 5

[3,4,5,6,7,8,10,1,9,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[3,4,5,6,7,1,9,8,2] => [[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [5,4,3,2,1,7,8,9,6] => [5,2,1,1] => 5

[7,2,1,4,5,6,3,8] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[1,5,6,7,3,4,2,8] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,2,2] => 4

[4,6,8,5,2,1,7,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[4,5,2,7,8,6,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[4,1,3,8,7,5,2,6] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[3,6,7,2,1,5,8,4] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[2,5,6,1,3,8,7,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[6,7,1,4,5,2,8,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,3,5,4,7,1,8,6] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[8,1,6,2,3,7,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[2,8,3,6,4,1,7,5] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[5,1,8,7,3,2,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[6,5,3,4,8,2,1,7] => [[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [3,2,1,1,1] => 3

[3,4,5,1,2,6,7,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [6,3] => 6

[5,2,7,6,8,3,4,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[8,4,5,2,7,3,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,3,7,4,5,2,8,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[7,3,4,2,8,5,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[4,3,6,5,8,2,7,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[8,2,7,4,5,3,6,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[7,2,8,4,5,3,6,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[6,3,8,2,7,4,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[3,2,8,4,7,5,6,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[8,3,6,2,7,4,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[4,2,3,5,6,7,8,9,10,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,1,1] => 8

[1,7,8,3,6,5,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,2,1,1,1] => 3

[5,8,1,7,2,4,3,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[2,5,7,3,8,1,4,6] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[8,3,5,2,1,6,7,4] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[2,6,4,7,1,8,5,3] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[1,8,5,3,7,6,2,4] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[2,4,1,7,5,6,3,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[1,4,3,7,6,2,8,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,6,2,5,7,3,8,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [4,2,1,1] => 4

[3,7,2,8,4,1,5,6] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[5,3,4,1,7,8,6,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[4,7,6,5,8,2,3,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[7,2,6,3,1,8,4,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[5,8,4,1,3,7,2,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,2,1,6,8,5,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,7,1,5,6,2,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,8,7,2,5,6,1,3] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[5,8,6,4,7,3,2,1] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[8,5,2,3,1,6,7,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[8,3,2,6,4,1,7,5] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,4,1,5,3,6,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,3,5,1,4,6,7,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[8,5,1,3,4,6,7,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[3,8,4,6,5,2,7,1] => [[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [3,2,1,1,1] => 3

[8,3,2,5,1,4,7,6] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,4,5,1,2,6,7,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[8,1,5,3,2,6,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[5,2,6,4,1,3,8,7] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[8,6,4,7,1,3,5,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,1,8,5,4,3,7,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[6,4,8,5,3,2,7,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[9,10,6,7,4,5,2,3,1,8] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[2,5,7,3,4,8,1,6] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[5,2,4,7,8,1,3,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [4,3,1] => 4

[10,1,8,9,6,7,4,5,2,3] => [[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,10,9,2] => [3,2,2,2,1] => 3

[10,8,7,6,5,4,3,1,2,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[4,8,5,6,1,2,7,3] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[1,7,8,5,4,6,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[4,6,8,1,5,2,7,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,3,7,5,8,6,1,4] => [[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [4,2,1,1] => 4

[1,3,6,4,8,2,7,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[1,7,6,2,8,5,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[5,6,2,8,1,7,3,4] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[6,8,4,5,1,3,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[5,2,3,8,1,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [4,3,1] => 4

[1,6,8,3,2,4,5,7] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [5,2,1] => 5

[9,6,5,4,3,2,1,7,8] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[10,7,6,5,4,3,2,1,8,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 3

[9,8,5,4,3,2,1,6,7] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[7,3,5,4,8,2,6,1] => [[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [3,2,1,1,1] => 3

[1,2,7,4,8,5,6,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [5,1,1,1] => 5

[2,6,7,4,8,5,1,3] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[3,2,7,5,8,4,6,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[2,5,8,6,4,3,7,1] => [[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [3,2,1,1,1] => 3

[6,4,2,5,7,1,8,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,3,7,2,4,5,6,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[2,5,7,4,6,8,1,3] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[2,5,6,4,1,3,8,7] => [[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,3,1,1] => 3

[4,6,1,3,5,7,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,6,5,8,1,7,4,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[4,2,3,6,8,5,1,7] => [[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [4,2,1,1] => 4

[4,5,1,3,2,8,6,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[6,4,1,3,7,8,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[8,2,6,4,1,3,7,5] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[1,5,8,2,4,3,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[4,3,7,8,2,6,5,1] => [[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [3,2,1,1,1] => 3

[3,8,5,1,2,6,7,4] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[2,4,7,8,3,6,5,1] => [[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [4,2,1,1] => 4

[1,8,7,3,2,4,5,6] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 5

[5,6,3,2,8,7,1,4] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,1,6,7,8,3,2,4] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [4,2,1,1] => 4

[1,5,6,7,4,2,3,8] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[5,1,6,7,3,4,2,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[8,6,1,7,3,4,5,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,4,2,3,5,7,6,1] => [[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [4,1,1,1,1] => 4

[5,4,8,3,1,2,6,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[8,4,7,3,2,5,6,1] => [[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [3,2,1,1,1] => 3

[8,4,2,6,7,1,5,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,6,7,5,1,8,2,3] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[7,3,6,8,4,1,2,5] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[6,4,2,3,7,5,8,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[6,3,7,5,1,2,8,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[7,2,5,4,8,6,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[7,1,2,8,4,6,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 4

[3,5,8,1,2,7,6,4] => [[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,3,1,1] => 3

[6,8,3,5,4,7,2,1] => [[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [3,2,1,1,1] => 3

[8,2,7,6,4,1,3,5] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[8,3,7,5,1,6,2,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,7,1,4,2,6,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,1,5,7,4,6,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[4,7,1,5,6,3,2,8] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,5,7,1,6,3,8,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,7,1,4,8,3,6,5] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[2,3,1,8,7,4,6,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[4,6,8,2,1,5,3,7] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[5,6,8,4,7,2,3,1] => [[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,2,1] => 3

[5,4,3,7,8,1,6,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[4,6,5,3,7,8,1,2] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[3,7,4,8,1,6,5,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[5,2,6,4,8,7,3,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[2,4,7,8,6,5,1,3] => [[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [4,2,1,1] => 4

[3,4,5,6,8,9,1,7,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[3,4,6,7,8,9,1,5,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[3,5,6,7,8,9,1,4,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[4,5,6,7,8,9,1,3,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[3,4,5,6,7,9,10,1,8,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[3,4,5,7,8,9,10,1,6,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[5,2,6,7,8,1,4,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[3,4,6,7,8,9,10,1,5,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[4,5,6,7,8,9,10,1,3,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [7,2,1] => 7

[4,8,2,7,5,3,1,6] => [[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,2,2,1,1] => 2

[5,4,2,3,1,7,8,6] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[3,5,8,1,7,4,2,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[8,4,7,5,6,2,1,3] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[3,8,6,7,5,2,4,1] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [3,2,1,1,1] => 3

[8,2,5,4,7,3,6,1] => [[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [3,2,1,1,1] => 3

[4,2,8,7,3,6,5,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[3,7,8,6,1,4,5,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,3,1,1] => 3

[4,6,7,8,2,1,5,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[3,8,1,4,6,2,5,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[2,4,5,3,8,7,1,6] => [[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,2,2,1] => 3

[4,7,5,6,2,8,1,3] => [[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [3,2,2,1] => 3

[8,7,5,1,6,3,2,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[8,6,3,4,1,2,7,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[2,5,8,4,6,1,3,7] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[6,8,4,7,3,5,2,1] => [[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,2,2,1,1] => 2

[3,1,8,2,4,6,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[8,1,7,6,2,5,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[8,5,4,3,7,6,1,2] => [[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [2,2,1,1,1,1] => 2

[4,8,1,3,6,7,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [4,2,1,1] => 4

[3,5,8,6,1,7,4,2] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[8,1,4,7,5,2,6,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[1,4,8,6,7,3,5,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1] => 4

[4,1,6,7,8,5,3,2] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,1,1,1,1] => 4

[4,6,1,5,7,2,3,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,8,5,3,2,7,1,6] => [[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,4,8,1,3,7,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[8,4,5,3,1,7,2,6] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[7,4,5,3,1,8,6,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,7,8,6,4,2,3,1] => [[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,1,1,1] => 3

[3,8,2,6,7,5,1,4] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[4,7,6,3,8,2,5,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[7,6,4,2,8,1,5,3] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[6,3,4,8,7,1,2,5] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[2,7,4,8,1,6,3,5] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[5,3,1,6,7,8,2,4] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[3,4,7,8,6,1,2,5] => [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,1] => 4

[2,4,5,8,1,6,3,7] => [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,1] => 4

[1,8,5,6,4,2,3,7] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[1,8,7,6,2,4,5,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 4

[6,4,8,5,7,3,1,2] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[1,7,5,6,4,8,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[2,4,8,5,7,3,1,6] => [[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [4,2,1,1] => 4

[7,2,6,4,5,8,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[4,6,7,8,9,1,2,3,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[5,7,8,9,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4] => 5

[2,7,1,5,3,8,6,4] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[2,4,3,8,5,1,7,6] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[7,3,2,1,4,8,6,5] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[2,8,3,4,1,7,6,5] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,6,7,1,4,5,8,3] => [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [4,3,1] => 4

[8,7,2,6,1,5,3,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,1,3,8,2,6,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[6,2,5,3,4,7,1,8] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[2,7,3,4,1,5,8,6] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[2,5,8,1,6,7,3,4] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,2,8,3,4,5,1,7] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,5,4,1,6,2,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,5,1,7,6,2,8,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,8,5,1,2,4,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[5,8,4,1,2,3,6,7] => [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [5,2,1] => 5

[3,5,8,1,4,2,7,6] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[2,8,5,7,1,4,3,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,8,7,5,1,2,3,6] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[8,1,2,4,6,3,7,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[6,1,2,7,8,4,3,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [4,2,1,1] => 4

[7,8,1,2,5,3,4,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[1,8,4,7,5,2,3,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[8,4,7,2,1,6,3,5] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,5,8,2,1,6,7,3] => [[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,3,1,1] => 3

[3,1,6,7,5,2,4,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,8,1,5,3,6,7,2] => [[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [4,2,1,1] => 4

[7,1,5,3,6,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[4,5,2,6,1,8,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,1,8,6,7,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[6,5,2,4,1,7,8,3] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[5,4,8,2,1,3,6,7] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[7,2,8,3,1,4,5,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[8,1,3,2,7,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,3,4,5,6,1,9,8,7] => [[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [5,4,3,2,1,7,8,9,6] => [5,2,1,1] => 5

[2,3,4,5,1,9,8,7,6] => [[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [4,3,2,1,6,7,8,9,5] => [4,2,1,1,1] => 4

[8,9,6,10,5,7,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[6,7,4,8,3,5,2,10,1,9] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[10,11,7,8,6,12,5,9,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[8,9,5,6,4,10,3,7,2,12,1,11] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => 2

[7,6,1,8,2,5,4,3] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[8,4,1,6,7,3,5,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[5,4,2,8,1,6,3,7] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[1,7,5,4,8,6,2,3] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[4,5,1,6,8,2,7,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[8,9,7,6,5,4,3,1,2] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[8,6,7,5,4,3,2,1,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[8,7,9,6,5,4,3,1,2] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[9,7,8,6,5,4,3,1,2] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[4,3,1,6,7,2,5,8] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[5,2,1,4,8,6,7,3] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[4,5,2,1,3,7,6,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[8,2,7,4,1,6,5,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[3,2,8,4,1,6,5,7] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[7,1,6,5,4,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[3,6,8,1,5,7,4,2] => [[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,3,1,1] => 3

[2,8,3,1,6,7,4,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[4,5,6,8,2,1,7,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,2,1,1] => 4

[4,5,6,8,1,3,7,2] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[4,5,8,3,2,1,7,6] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,1,1,1] => 3

[4,5,1,3,2,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [5,2,1] => 5

[4,7,1,3,5,6,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[4,8,3,2,1,6,7,5] => [[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [3,2,1,1,1] => 3

[5,2,8,1,4,6,7,3] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[5,7,1,4,3,6,2,8] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[6,2,3,7,1,5,4,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,2,8,1,5,4,7,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[6,1,3,4,5,2,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[7,1,3,4,5,6,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [5,2,1] => 5

[7,2,5,1,3,6,4,8] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[6,5,2,7,8,4,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[2,3,6,5,8,4,7,1] => [[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [4,2,1,1] => 4

[1,5,2,6,8,7,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[6,5,4,3,2,1,8,9,7] => [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [3,1,1,1,1,1,1] => 3

[4,8,5,7,1,2,3,6] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[4,2,3,7,6,1,8,5] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[4,2,6,3,1,5,7,8] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[4,6,3,2,5,8,7,1] => [[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [3,2,1,1,1] => 3

[5,8,4,3,2,6,1,7] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[6,1,5,7,3,8,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[3,5,1,7,8,6,2,4] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[5,2,4,1,7,6,8,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,4,3,8,1,7,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[5,6,4,7,3,10,1,9,2,8] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [3,2,2,2,1] => 3

[5,6,4,7,3,8,2,10,1,9] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => 2

[7,3,1,5,6,8,4,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[7,2,3,1,6,8,4,5] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,7,8,1,6,2,3,4] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[1,6,4,2,7,3,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[4,8,2,1,5,7,3,6] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,2,7,1,6,3,4,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[4,8,2,5,1,6,3,7] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,8,1,2,4,6,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[3,2,7,1,6,4,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,3,1,7,5,4,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[7,3,4,8,5,6,2,1] => [[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [4,1,1,1,1] => 4

[7,3,6,8,4,5,2,1] => [[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [3,2,1,1,1] => 3

[1,4,7,5,6,2,8,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[5,2,4,8,3,1,6,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[8,7,3,5,4,1,6,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[7,4,5,1,8,6,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,1,5,7,6,3,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [3,2,1,1,1] => 3

[1,8,6,7,5,3,2,4] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [3,2,1,1,1] => 3

[7,4,8,3,1,6,5,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,8,7,3,5,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[6,1,4,2,3,5,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,1,1] => 6

[7,1,4,3,8,6,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[8,5,4,1,7,3,2,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[4,5,3,8,1,7,6,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[4,7,6,3,2,8,5,1] => [[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[5,7,6,3,8,2,4,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[6,8,4,7,1,2,5,3] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[1,3,7,6,8,4,5,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [4,2,1,1] => 4

[6,1,5,7,2,8,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[1,8,7,2,5,6,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [4,2,1,1] => 4

[1,8,7,6,3,5,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 3

[1,8,5,7,6,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [3,1,1,1,1,1] => 3

[7,2,4,1,8,5,3,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,3,2,1,4,6,8,5] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[4,7,2,6,1,8,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[7,5,3,2,1,6,8,4] => [[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 3

[6,8,1,3,4,2,5,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,6,1,4,7,8,2,5] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[2,5,7,1,3,6,4,8] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[4,5,3,1,2,6,8,7] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[4,5,1,3,8,2,6,7] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[7,3,5,1,4,2,6,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,2,1,7,4,3,8,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[2,4,3,6,7,1,5,8] => [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [4,3,1] => 4

[7,3,5,2,1,6,4,8] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[4,6,5,2,1,3,7,8] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[2,5,6,1,4,3,7,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[3,6,5,4,1,7,2,8] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[10,9,8,6,5,4,7,3,2,1] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[6,8,7,5,4,2,1,3] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,2,1,1,1,1] => 2

[8,7,5,4,6,1,3,2] => [[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [2,2,1,1,1,1] => 2

[1,8,2,6,7,5,4,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [4,1,1,1,1] => 4

[2,7,5,1,6,8,3,4] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[8,5,4,2,7,3,6,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[3,8,6,1,2,4,5,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [5,2,1] => 5

[1,8,5,3,2,7,4,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,8,4,7,2,3,5,6] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[3,2,8,1,7,5,4,6] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[7,1,5,6,2,3,4,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[6,5,1,7,2,3,4,8] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[7,4,1,5,6,8,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[4,1,2,6,7,8,5,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,1,1,1] => 5

[3,4,5,8,9,1,2,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[3,4,7,8,9,1,2,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[3,6,7,8,9,1,2,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[3,4,5,6,7,10,1,2,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[3,4,5,6,9,10,1,2,7,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[3,4,5,8,9,10,1,2,6,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[3,4,7,8,9,10,1,2,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[2,6,7,8,9,1,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[3,6,7,8,9,10,1,2,4,5] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[3,7,8,2,1,4,5,6] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [4,3,1] => 4

[6,3,7,1,8,2,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,1,4,3,6,5,10,7,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,4,3,8,5,7,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,6,3,5,4,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,6,3,5,4,10,7,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,3,2,6,5,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,3,2,6,5,10,7,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,3,2,8,5,7,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[1,7,4,5,6,8,3,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [5,1,1,1] => 5

[2,4,7,8,3,1,6,5] => [[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,2,1,1] => 4

[5,4,3,6,8,1,7,2] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[3,7,4,5,8,1,6,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[1,4,3,5,6,8,2,7] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[1,4,6,5,8,2,7,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[4,6,1,7,3,2,8,5] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[1,7,3,6,4,2,8,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[4,7,3,5,1,2,8,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[4,8,3,5,2,1,6,7] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[10,9,7,6,5,4,3,8,2,1] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[1,6,8,4,7,5,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [3,2,1,1,1] => 3

[4,7,1,6,8,2,3,5] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[5,2,3,8,7,1,4,6] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[8,7,1,3,2,6,4,5] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,6,2,1,3,7,4,5] => [[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 4

[4,2,3,6,8,5,7,1] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [4,2,1,1] => 4

[4,7,3,2,6,5,1,8] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,3,7,8,2,1,6,5] => [[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [3,2,1,1,1] => 3

[4,8,7,2,1,5,6,3] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,3,8,2,5,1,6,4] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[4,5,3,8,6,1,2,7] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[6,3,5,8,4,1,2,7] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[4,8,7,5,1,2,6,3] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[7,8,4,6,1,3,5,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[4,8,7,5,1,3,6,2] => [[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [3,2,1,1,1] => 3

[7,8,6,3,1,2,5,4] => [[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [3,2,1,1,1] => 3

[7,3,1,2,8,6,5,4] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[8,7,1,3,2,4,5,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[6,8,2,1,4,5,3,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[1,5,4,8,7,3,2,6] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[7,5,8,1,2,4,6,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[6,1,5,2,8,7,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 3

[1,4,7,2,6,5,8,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[1,5,7,2,6,4,8,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [4,2,1,1] => 4

[7,2,4,6,1,8,3,5] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[1,7,6,2,8,5,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[1,7,6,8,3,4,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[3,4,1,7,8,6,5,2] => [[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [3,2,1,1,1] => 3

[2,4,8,6,5,7,1,3] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[8,7,3,6,1,4,2,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,1,8,3,4,7,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[8,2,1,5,6,4,7,3] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[7,5,6,1,3,4,8,2] => [[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [4,2,1,1] => 4

[2,1,5,6,3,8,7,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[3,2,7,5,8,6,4,1] => [[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 3

[2,4,5,3,8,1,7,6] => [[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,2,2,1] => 3

[7,2,5,4,3,8,6,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[8,5,3,1,2,6,7,4] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[7,2,5,1,3,6,8,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[1,8,7,3,5,2,6,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [3,2,1,1,1] => 3

[2,4,8,3,6,5,7,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[3,1,8,2,6,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[4,7,2,1,8,6,5,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[5,7,2,4,8,6,1,3] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[6,7,2,4,8,5,1,3] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[6,7,3,2,8,5,1,4] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,2,3,1,8,6,5,4] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,2,8,3,5,6,1,4] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[1,7,3,8,5,4,2,6] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [3,2,1,1,1] => 3

[2,8,6,4,3,1,7,5] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[1,7,3,4,8,2,5,6] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[1,5,8,3,4,6,2,7] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[1,3,8,4,2,5,7,6] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,4,7,6,2,3,8,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,8,4,6,7,2,3,5] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[1,4,2,3,7,8,6,5] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [5,1,1,1] => 5

[7,4,5,8,1,3,6,2] => [[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [3,3,1,1] => 3

[6,8,4,1,5,7,2,3] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[5,2,6,7,4,1,8,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[8,5,6,4,1,7,3,2] => [[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[4,5,8,1,6,3,7,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[4,5,8,1,6,2,7,3] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[5,2,6,8,1,4,3,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,7,3,8,2,1,4,5] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[2,1,4,8,5,3,7,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[2,7,3,8,4,1,6,5] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[2,6,3,1,5,4,8,7] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,5,8,3,4,7,2,6] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [4,2,2] => 4

[5,3,8,1,4,6,2,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[4,5,8,1,3,6,2,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[7,4,6,5,2,8,3,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[4,1,3,8,5,7,6,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 4

[4,1,3,7,2,8,6,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[7,2,6,3,1,8,5,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[1,6,3,2,8,7,4,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[6,8,3,1,5,7,2,4] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[8,7,3,1,2,5,6,4] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[7,4,5,1,2,6,8,3] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[5,4,3,6,1,7,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[1,9,8,7,6,4,3,2,5] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [3,1,1,1,1,1,1] => 3

[1,9,8,7,5,4,3,2,6] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [3,1,1,1,1,1,1] => 3

[1,9,8,6,5,4,3,2,7] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [3,1,1,1,1,1,1] => 3

[1,9,7,6,5,4,3,2,8] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [3,1,1,1,1,1,1] => 3

[1,10,9,8,7,6,5,3,2,4] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 3

[1,10,9,8,7,6,4,3,2,5] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 3

[1,10,9,8,7,5,4,3,2,6] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 3

[1,10,9,8,6,5,4,3,2,7] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 3

[1,10,9,7,6,5,4,3,2,8] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 3

[1,10,8,7,6,5,4,3,2,9] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 3

[4,7,6,1,5,8,2,3] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[1,3,7,8,4,6,2,5] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,2,2] => 4

[5,6,4,8,7,2,1,3] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[4,8,3,7,6,1,2,5] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[2,8,4,7,1,3,6,5] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[3,7,1,4,5,6,2,8] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[3,6,1,4,5,2,7,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[3,7,2,1,5,6,4,8] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[3,6,8,1,5,4,7,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[1,7,4,6,3,5,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [3,2,2,1] => 3

[1,6,8,5,4,3,7,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [3,2,1,1,1] => 3

[2,5,7,8,4,3,1,6] => [[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,2,1,1] => 4

[6,8,5,3,2,4,1,7] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[1,6,8,5,3,2,7,4] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,2,1,1,1] => 3

[4,6,1,8,7,5,3,2] => [[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,2,1,1,1,1] => 2

[4,5,2,6,7,8,1,3] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[2,8,7,6,5,4,3,1,9] => [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [2,2,1,1,1,1,1] => 2

[1,7,6,2,3,8,5,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 4

[4,5,1,3,7,6,2,8] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[1,5,4,3,8,6,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[1,3,7,5,8,4,6,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [4,2,1,1] => 4

[5,8,1,2,7,6,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [3,2,1,1,1] => 3

[1,6,7,4,5,3,2,8] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[1,8,2,4,6,5,3,7] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [4,2,1,1] => 4

[7,2,1,6,4,3,8,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[1,4,8,7,2,3,6,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[4,1,3,6,5,8,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[4,3,7,1,5,8,2,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,8,6,5,2,7,4,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 3

[1,8,6,2,7,4,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 4

[6,8,7,2,1,5,4,3] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,1,6,3,7,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 3

[8,5,1,3,7,6,4,2] => [[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 3

[8,3,6,5,4,2,1,7] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[2,8,1,5,6,4,3,7] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[1,6,7,5,8,4,2,3] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[7,4,1,6,5,2,8,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,4,2,8,6,5,3,1] => [[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 2

[5,8,7,3,2,1,6,4] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,8,7,2,6,4,3,1] => [[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[8,6,7,2,3,5,4,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[5,4,8,6,7,3,1,2] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[4,2,7,3,1,6,8,5] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[7,3,6,4,2,1,8,5] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[6,4,3,1,8,5,2,7] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,4,3,1,5,8,6,2] => [[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 3

[7,4,8,6,5,3,1,2] => [[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [2,2,1,1,1,1] => 2

[4,8,5,2,6,7,3,1] => [[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,1,1] => 3

[7,3,2,1,8,5,6,4] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[1,5,7,2,4,3,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [4,2,1,1] => 4

[5,1,3,8,2,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,7,1,3,2,8,4,6] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[8,1,7,2,3,6,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[7,1,2,6,4,3,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 4

[1,4,7,8,3,2,5,6] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[1,8,2,7,6,3,5,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 4

[8,2,1,7,6,3,4,5] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[8,7,2,4,3,1,5,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[2,1,4,3,10,5,7,6,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,8,3,5,4,7,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[2,1,10,3,5,4,7,6,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,1,3,2,10,5,7,6,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[6,1,3,2,5,4,8,7,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[6,1,3,2,5,4,10,7,9,8] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[8,1,3,2,5,4,7,6,10,9] => [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 5

[4,7,6,1,3,2,8,5] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[2,8,1,3,5,6,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[7,6,3,1,8,5,2,4] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[7,2,1,3,6,8,5,4] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[7,6,3,8,1,5,2,4] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[1,6,4,7,8,5,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [4,1,1,1,1] => 4

[7,2,5,8,6,1,3,4] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[4,1,3,6,2,5,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[7,1,4,6,3,2,5,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[7,4,5,8,6,2,3,1] => [[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [3,2,1,1,1] => 3

[6,7,2,3,8,4,1,5] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[2,7,8,1,5,4,3,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[1,8,3,7,5,2,6,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[8,1,3,6,5,2,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[7,1,3,8,5,2,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[3,1,6,7,5,2,8,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [3,2,1,1,1] => 3

[8,6,2,4,5,1,7,3] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[8,6,7,5,2,1,4,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,1,6,2,3,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 4

[4,1,7,6,5,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[1,5,4,8,3,2,6,7] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [4,2,1,1] => 4

[2,6,3,1,7,8,4,5] => [[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,2,1] => 3

[2,1,7,8,3,5,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[4,7,8,6,2,1,5,3] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[4,8,6,3,2,1,7,5] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[5,6,4,7,1,8,3,2] => [[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,2,2,1,1] => 2

[5,3,7,4,6,1,8,2] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[4,1,5,7,8,6,3,2] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [4,1,1,1,1] => 4

[3,6,7,1,5,4,8,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[3,6,4,7,5,8,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [4,1,1,1,1] => 4

[8,1,7,3,2,4,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 5

[6,4,7,1,5,2,8,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,6,5,2,8,7,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[2,3,4,5,7,8,1,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,2,1] => 6

[2,3,4,5,7,9,1,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[3,2,5,8,6,1,7,4] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[4,5,1,7,2,8,6,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[6,4,7,2,5,3,1,8] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[7,1,4,3,6,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[5,3,8,7,1,6,2,4] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,5,1,6,4,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 3

[8,6,3,5,2,7,1,4] => [[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [2,2,2,1,1] => 2

[8,4,6,2,1,5,7,3] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[8,5,2,1,6,4,7,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[6,7,1,4,8,5,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[7,3,2,8,5,1,4,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[8,3,5,2,4,7,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[4,3,7,8,6,1,5,2] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[6,1,3,7,8,5,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,1,1,1,1] => 4

[2,6,4,7,5,3,1,8] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[4,5,1,8,6,2,7,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[5,6,1,8,7,2,3,4] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[4,5,1,6,8,7,3,2] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[3,9,2,4,5,6,7,8,1] => [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [6,2,1] => 6

[3,2,8,1,5,6,4,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[3,4,7,6,8,2,1,5] => [[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [4,2,1,1] => 4

[2,8,1,3,7,5,6,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[7,6,1,2,5,8,4,3] => [[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 4

[3,4,7,1,5,8,2,6] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,2,7,1,5,8,3,6] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,4,7,5,2,3,6,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [5,2,1] => 5

[2,5,7,6,8,3,4,1] => [[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [4,2,1,1] => 4

[3,1,6,7,2,8,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [3,2,1,1,1] => 3

[1,5,3,6,8,4,7,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [4,2,1,1] => 4

[6,5,1,3,8,4,7,2] => [[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [4,1,1,1,1] => 4

[1,7,4,8,5,3,2,6] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[7,3,1,6,8,4,5,2] => [[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [3,2,1,1,1] => 3

[8,5,1,4,6,7,3,2] => [[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 4

[3,4,7,5,6,8,2,1] => [[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [5,1,1,1] => 5

[1,8,7,5,2,6,3,4] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,7,6,3,4,5,8,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [5,1,1,1] => 5

[1,8,7,3,6,4,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [3,2,1,1,1] => 3

[1,4,7,5,8,2,6,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[1,4,7,2,3,6,5,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [5,2,1] => 5

[1,7,2,5,6,3,4,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [5,2,1] => 5

[6,8,3,2,7,5,1,4] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[4,1,5,7,2,6,3,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[5,7,2,1,3,6,4,8] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[3,5,6,7,2,4,1,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,2,2] => 4

[6,4,7,5,2,3,1,8] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[1,5,6,4,8,3,2,7] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,2,2,1] => 3

[2,1,5,6,4,8,3,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [3,2,2,1] => 3

[1,6,7,2,8,5,4,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,2,1,1,1] => 3

[5,3,2,1,7,8,6,4] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 3

[7,4,3,8,6,1,5,2] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[4,3,7,1,5,8,6,2] => [[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [3,2,1,1,1] => 3

[8,2,4,5,3,1,7,6] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[1,4,3,2,7,5,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[4,5,8,2,1,7,3,6] => [[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,3,1,1] => 3

[7,5,4,3,1,2,6,8,9] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[6,3,1,8,2,7,5,4] => [[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 3

[5,8,2,1,3,6,4,7] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[8,5,1,7,3,4,6,2] => [[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 4

[1,8,3,5,2,6,4,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[3,4,6,1,8,5,7,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[2,3,8,7,4,5,1,6] => [[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [4,2,1,1] => 4

[2,5,8,4,6,7,1,3] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[9,8,6,1,2,3,4,5,7] => [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 6

[9,8,7,5,1,2,3,4,6] => [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 5

[9,8,7,6,4,1,2,3,5] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,1,1,1,1,1] => 4

[9,8,7,6,5,3,1,2,4] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[7,1,2,6,4,3,5,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[7,1,2,6,5,3,4,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[4,7,8,6,2,3,5,1] => [[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,3,1,1] => 3

[2,7,5,6,4,8,1,3] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,8,3,6,5,7,1,4] => [[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [4,2,1,1] => 4

[9,2,8,7,6,5,4,3,1] => [[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,1,1,1,1,1,1,1] => 2

[7,4,3,1,6,5,2,8] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[3,5,1,2,6,8,7,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [4,2,1,1] => 4

[5,3,8,6,2,4,1,7] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[2,7,4,6,3,8,1,5] => [[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [3,2,2,1] => 3

[2,7,4,8,3,1,5,6] => [[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [3,3,1,1] => 3

[6,5,8,2,3,4,7,1] => [[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [4,2,1,1] => 4

[8,1,2,7,5,3,4,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[4,2,8,1,3,7,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[7,5,1,8,2,3,4,6] => [[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 5

[8,2,4,1,3,7,5,6] => [[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [4,2,1,1] => 4

[8,1,6,2,3,7,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[7,1,8,2,3,6,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 5

[4,2,6,7,5,1,8,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[4,7,2,5,3,8,1,6] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[3,5,7,4,2,8,1,6] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[2,4,7,6,3,8,1,5] => [[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,2,2,1] => 3

[4,6,8,5,1,2,3,7] => [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,1] => 4

[4,6,5,7,1,2,3,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[4,6,5,7,1,3,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[3,4,7,6,1,8,2,5] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[8,5,2,1,6,3,4,7] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[7,1,8,5,3,2,4,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[8,2,7,5,4,1,6,3] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[6,8,7,4,5,3,2,1] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [2,2,1,1,1,1] => 2

[5,2,6,7,4,8,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[6,5,8,1,7,3,2,4] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,4,8,1,5,2,3,7] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[7,2,4,1,6,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[2,6,1,5,3,4,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[3,8,7,5,4,2,6,1] => [[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [2,2,1,1,1,1] => 2

[5,7,8,2,3,6,4,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[2,8,7,3,1,4,5,6] => [[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,1,1] => 4

[5,6,1,2,4,7,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [5,2,1] => 5

[10,9,8,6,5,7,4,3,2,1] => [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[7,8,5,1,4,6,2,3] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[8,4,7,6,3,1,2,5] => [[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [3,2,1,1,1] => 3

[4,6,7,1,3,2,8,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,4,7,5,3,2,8,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[8,4,6,3,1,5,7,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[7,3,1,4,5,6,8,2] => [[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 5

[6,7,1,5,4,3,2,8] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[5,3,4,7,6,1,8,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[4,5,2,1,6,7,3,8] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[2,5,1,6,4,3,8,7] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[3,6,2,8,5,7,1,4] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[4,6,8,1,5,7,2,3] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[4,6,5,8,1,7,3,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,1,3,6,4,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 4

[4,8,1,2,7,5,6,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [4,2,1,1] => 4

[1,6,4,3,8,7,5,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [3,1,1,1,1,1] => 3

[3,4,7,2,5,8,6,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[2,5,8,7,3,1,4,6] => [[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,3,1,1] => 3

[9,8,7,4,3,2,1,5,6] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[9,8,7,6,3,2,1,4,5] => [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 3

[2,5,1,8,3,6,4,7] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[5,8,4,7,3,2,1,6] => [[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,2,2,1,1] => 2

[4,3,8,6,1,2,5,7] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,8,1,3,4,7,2,6] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[8,3,4,2,7,6,1,5] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,7,5,6,4,1,3,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [2,2,1,1,1,1] => 2

[8,7,4,2,3,6,5,1] => [[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1] => 3

[8,4,2,3,7,6,5,1] => [[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 3

[7,2,4,5,3,1,6,8] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[7,6,3,1,4,5,8,2] => [[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 4

[5,4,1,7,8,6,2,3] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[5,3,4,7,8,1,6,2] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[4,3,7,6,5,1,8,2] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[5,1,4,8,2,3,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[3,2,8,5,4,1,6,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[1,2,8,3,4,6,5,7] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [6,1,1] => 6

[8,1,2,7,3,5,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[5,7,1,2,6,3,4,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[5,1,4,7,2,3,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[4,8,1,2,3,6,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [5,2,1] => 5

[2,4,6,8,1,9,7,5,3] => [[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [4,3,2,1,6,7,8,9,5] => [4,2,1,1,1] => 4

[6,8,5,4,3,2,1,9,7] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [2,2,1,1,1,1,1] => 2

[4,5,1,3,2,6,8,7] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[6,4,7,5,1,3,2,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[6,7,2,4,1,8,3,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[5,1,6,3,2,7,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[6,7,2,5,4,1,3,8] => [[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [3,2,2,1] => 3

[7,1,3,5,4,2,8,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[7,6,8,2,4,5,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[4,2,8,6,5,1,3,7] => [[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [3,2,1,1,1] => 3

[3,8,5,4,7,1,2,6] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[1,4,8,3,6,2,7,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[8,3,2,7,4,1,5,6] => [[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [3,2,1,1,1] => 3

[2,7,1,5,8,6,4,3] => [[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [3,2,1,1,1] => 3

[7,2,4,1,6,8,5,3] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[6,4,7,2,3,8,5,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,1,4,3,6,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[6,1,8,5,4,7,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[7,6,1,5,4,2,8,3] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[5,1,6,8,7,2,4,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[4,6,7,5,3,1,8,2] => [[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,1,1,1] => 3

[5,3,2,6,8,7,4,1] => [[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 3

[5,4,6,2,8,7,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[4,5,8,6,7,2,3,1] => [[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [4,2,1,1] => 4

[4,5,7,6,1,2,8,3] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[7,4,8,6,3,5,1,2] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[7,2,4,3,6,1,8,5] => [[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [3,2,1,1,1] => 3

[2,3,4,7,8,6,1,5] => [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [5,2,1] => 5

[6,3,7,1,4,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[3,4,6,7,8,2,5,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,2,1] => 5

[2,4,6,7,8,9,1,3,5] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,3] => 6

[2,5,6,7,3,8,1,4] => [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,2,2] => 4

[5,8,4,6,2,1,7,3] => [[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,2,2,1,1] => 2

[2,4,7,5,8,6,3,1] => [[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [4,1,1,1,1] => 4

[1,6,8,3,4,2,7,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,2,2,1] => 3

[4,1,8,2,7,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[4,1,7,2,8,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,5,6,3,7,4,8,1] => [[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [4,2,1,1] => 4

[2,6,5,3,8,4,7,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[2,6,5,3,7,4,8,1] => [[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 4

[7,1,6,3,5,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[5,7,3,2,8,4,1,6] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[8,1,5,2,7,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[7,1,4,2,8,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,6,8,1,7,5,3,4] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,4,5,8,7,1,3,6] => [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,3,1] => 4

[3,1,6,8,7,5,4,2] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [3,1,1,1,1,1] => 3

[3,1,8,7,5,6,4,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[5,1,8,7,6,3,4,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 3

[8,2,7,5,3,6,4,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[8,7,2,3,1,5,6,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[2,8,5,7,6,1,3,4] => [[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [3,3,1,1] => 3

[1,8,7,2,6,4,5,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[8,7,2,1,6,4,5,3] => [[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 3

[1,8,4,7,6,2,5,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[5,6,4,7,3,9,1,8,2,10] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [3,2,2,2,1] => 3

[4,3,8,5,2,6,1,7] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[3,6,4,7,5,2,1,8] => [[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [3,2,1,1,1] => 3

[2,8,6,7,5,3,1,4] => [[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [3,2,1,1,1] => 3

[8,4,7,3,1,2,5,6] => [[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [4,2,1,1] => 4

[4,8,3,2,6,1,7,5] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[1,4,8,7,6,2,5,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[7,2,4,1,5,3,8,6] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,5,3,4,1,7,2,6] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,5,3,1,2,7,4] => [[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 3

[7,4,6,5,3,2,8,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[5,6,7,2,3,8,4,1] => [[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,3,1,1] => 3

[1,7,4,2,8,5,6,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [4,1,1,1,1] => 4

[6,2,5,7,1,4,3,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,8,5,3,1,2,6,7] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[1,5,3,4,7,2,6,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[8,4,6,1,5,7,3,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[6,7,3,1,2,4,8,5] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[3,1,8,7,6,2,5,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[1,3,8,6,7,2,5,4] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[5,2,3,6,1,8,4,7] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[3,7,6,8,1,5,4,2] => [[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,7,4,6,8,5,3,1] => [[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [4,1,1,1,1] => 4

[3,7,6,8,5,1,4,2] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[7,1,3,8,6,2,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[2,7,1,8,6,5,3,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[8,1,5,2,6,4,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[5,3,4,7,6,2,1,8] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[4,1,8,5,7,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[4,1,8,2,7,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[7,6,8,2,4,3,5,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[7,4,5,3,8,1,6,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[7,3,6,1,4,2,8,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,1,4,6,8,5,3,2] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [4,1,1,1,1] => 4

[7,2,5,1,6,4,8,3] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[2,7,1,5,6,4,8,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[1,4,8,5,7,6,3,2] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [4,1,1,1,1] => 4

[2,8,1,5,6,4,7,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [3,2,2,1] => 3

[3,7,2,8,1,5,6,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [3,2,2,1] => 3

[7,3,2,5,1,6,8,4] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[8,7,2,1,3,6,5,4] => [[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 3

[7,3,2,8,1,4,6,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,7,4,2,1,6,5,3] => [[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 2

[5,4,7,6,2,1,8,3] => [[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [2,2,1,1,1,1] => 2

[3,7,6,5,4,1,8,2] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,2,1,1,1,1] => 2

[4,6,5,3,1,8,7,2] => [[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[8,6,7,4,3,1,5,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,7,1,8,5,3,2,6] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[8,6,7,1,4,3,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,5,6,1,7,4,2,3] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[6,4,1,2,5,7,8,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[6,4,2,3,1,7,5,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[3,4,6,1,8,2,7,5] => [[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,3,1,1] => 3

[6,4,5,2,7,1,3,8] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[7,4,3,5,1,6,2,8] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,5,3,6,2,1,4,8] => [[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [3,2,1,1,1] => 3

[6,4,3,7,1,8,2,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[3,1,2,7,6,4,5,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[5,1,2,7,6,3,4,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[5,6,1,7,2,4,3,8] => [[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [4,2,1,1] => 4

[3,5,6,8,1,2,7,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,1] => 4

[2,6,5,7,1,3,4,8] => [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,3,1] => 4

[2,3,7,1,5,6,4,8] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,6,5,3,4,1,7,8] => [[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [3,3,1,1] => 3

[2,6,1,3,5,4,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[4,6,1,5,2,8,7,3] => [[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [3,2,1,1,1] => 3

[6,1,5,4,2,7,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[2,8,6,5,1,3,7,4] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[5,1,8,6,2,7,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[7,4,2,3,1,6,8,5] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[4,3,6,2,5,8,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,7,9,6,5,4,2,1,3] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[8,9,7,6,5,4,2,1,3] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[8,9,7,6,5,4,2,3,1] => [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [2,2,1,1,1,1,1] => 2

[1,6,4,5,7,2,8,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [4,2,1,1] => 4

[1,7,5,6,4,8,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,2,1,1,1] => 3

[1,5,6,7,3,2,4,8] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,3,1] => 4

[8,2,4,3,1,7,5,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,2,1,4,3,7,5,6] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[7,6,8,2,1,5,3,4] => [[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [3,2,1,1,1] => 3

[8,6,2,5,1,3,7,4] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[7,1,6,8,3,2,4,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [4,2,1,1] => 4

[4,5,6,1,3,8,2,7] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[6,3,5,7,4,2,8,1] => [[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [3,2,1,1,1] => 3

[1,3,8,6,5,2,7,4] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,2,1,1,1] => 3

[1,2,8,5,7,4,6,3] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [4,2,1,1] => 4

[1,6,8,5,4,7,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[5,7,1,8,3,2,6,4] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[8,1,5,3,4,7,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,1,8,7,4,5,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 3

[1,5,8,6,4,3,7,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [3,2,1,1,1] => 3

[5,8,6,4,2,1,7,3] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[2,6,1,8,4,7,5,3] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[5,3,8,6,1,2,7,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[5,8,1,4,6,2,7,3] => [[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [3,2,2,1] => 3

[3,7,6,2,1,4,8,5] => [[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,1,1] => 3

[6,8,7,5,1,3,4,2] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[6,4,3,2,7,8,5,1] => [[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 3

[2,7,6,1,5,3,8,4] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[7,8,6,4,2,5,3,1] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[6,4,5,8,7,1,3,2] => [[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [3,2,1,1,1] => 3

[6,4,1,7,8,3,2,5] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[6,2,3,4,5,7,8,9,10,1] => [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,1,1] => 8

[6,4,3,8,7,2,5,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[2,6,4,5,7,1,8,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[3,7,4,6,1,5,8,2] => [[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [3,3,1,1] => 3

[3,4,6,5,2,8,1,7] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[4,6,7,5,8,2,1,3] => [[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,2,2,1] => 3

[2,5,7,6,4,1,8,3] => [[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,2,1,1,1] => 3

[4,8,3,5,1,2,7,6] => [[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,2,1] => 3

[6,1,3,7,2,8,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [4,2,1,1] => 4

[3,8,5,4,1,7,2,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[2,8,5,3,1,7,4,6] => [[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [3,2,1,1,1] => 3

[6,5,2,3,7,1,8,4] => [[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [3,2,1,1,1] => 3

[2,1,3,7,5,8,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[6,2,4,5,7,1,8,3] => [[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [4,2,1,1] => 4

[2,3,8,7,1,4,6,5] => [[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,3,1,1] => 3

[4,2,7,5,6,8,1,3] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[7,2,3,4,5,6,9,1,8] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[5,3,2,7,6,1,8,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[5,6,4,2,8,7,1,3] => [[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,2,2,1,1] => 2

[5,7,4,2,6,1,8,3] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[5,4,7,1,6,2,8,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,5,8,7,6,2,1,3] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,1,1,1] => 3

[4,9,3,10,5,7,1,8,2,6] => [[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [3,3,2,1,1] => 3

[6,1,7,3,8,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 4

[8,2,3,1,6,4,7,5] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[1,8,3,7,6,2,5,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[1,3,8,4,6,2,7,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [4,2,1,1] => 4

[8,2,3,6,7,4,5,1] => [[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [4,2,1,1] => 4

[2,5,7,6,3,8,4,1] => [[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [3,2,1,1,1] => 3

[2,1,9,8,7,6,5,3,4] => [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [3,1,1,1,1,1,1] => 3

[2,1,9,8,7,6,4,3,5] => [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [3,1,1,1,1,1,1] => 3

[6,2,5,1,3,8,7,4] => [[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [3,2,1,1,1] => 3

[6,2,8,5,1,3,7,4] => [[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [3,2,1,1,1] => 3

[4,1,7,8,3,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[5,3,4,6,7,8,9,1,2] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [6,2,1] => 6

[1,7,5,8,4,3,6,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [3,2,1,1,1] => 3

[5,8,1,6,4,7,2,3] => [[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [3,2,2,1] => 3

[2,4,7,5,1,8,6,3] => [[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,2,1,1,1] => 3

[2,3,7,1,8,5,6,4] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[6,5,1,2,7,4,8,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[3,6,5,7,8,2,4,1] => [[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [4,2,1,1] => 4

[3,6,5,1,8,7,4,2] => [[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[7,8,1,2,5,4,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [4,2,1,1] => 4

[3,1,5,7,4,8,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [3,2,1,1,1] => 3

[4,1,7,6,8,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [3,2,1,1,1] => 3

[7,2,6,4,1,5,3,8] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,2,6,5,8,3,7,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [4,2,1,1] => 4

[7,3,5,6,1,4,2,8] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[4,5,8,1,7,3,6,2] => [[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,3,1,1] => 3

[4,7,1,6,8,5,2,3] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[1,7,3,8,2,5,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [4,2,1,1] => 4

[5,7,1,6,4,2,8,3] => [[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [3,2,1,1,1] => 3

[2,3,6,1,7,5,4,8] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[2,7,1,4,8,6,5,3] => [[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [3,2,1,1,1] => 3

[6,2,7,1,4,3,5,8] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[9,5,4,3,2,1,6,7,8] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,1,1,1,1,1] => 4

[8,3,2,6,5,1,7,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[2,6,8,4,7,1,3,5] => [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,3,2] => 3

[7,8,6,3,2,5,4,1] => [[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,2,1,1,1,1] => 2

[1,6,4,8,2,3,5,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [5,2,1] => 5

[2,8,5,6,4,1,7,3] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[1,4,7,3,5,8,6,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [4,2,1,1] => 4

[8,6,1,4,3,2,7,5] => [[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 3

[7,3,8,2,4,1,5,6] => [[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [3,2,2,1] => 3

[5,7,1,6,8,2,3,4] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[6,3,2,8,1,7,4,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[6,8,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,2,2,1,1] => 2

[5,7,4,8,3,1,2,6] => [[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,2,1] => 3

[6,1,2,4,8,3,7,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [4,2,1,1] => 4

[1,6,4,7,5,3,2,8] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [3,2,1,1,1] => 3

[1,6,5,3,2,7,4,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[1,6,8,7,4,5,3,2] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [3,2,1,1,1] => 3

[1,4,7,5,3,2,6,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [4,2,1,1] => 4

[1,7,5,4,3,2,8,6] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 3

[1,4,7,5,3,2,8,6] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,2,1,1,1] => 3

[1,7,4,6,8,5,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [4,1,1,1,1] => 4

[6,8,7,2,3,5,4,1] => [[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,1,1] => 3

[5,7,6,1,8,2,4,3] => [[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,8,6,5,7,2,3,1] => [[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [3,2,1,1,1] => 3

[2,7,8,5,1,4,3,6] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[8,5,6,2,4,7,3,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[8,1,3,6,4,5,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [4,2,1,1] => 4

[1,2,5,3,9,8,7,6,4] => [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [3,5,6,7,8,9,4,2,1] => [4,1,1,1,1,1] => 4

[7,5,3,1,9,8,6,4,2] => [[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [2,1,1,1,1,1,1,1] => 2

[5,3,1,9,8,7,6,4,2] => [[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [2,1,1,1,1,1,1,1] => 2

[7,5,3,1,10,9,8,6,4,2] => [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [2,1,1,1,1,1,1,1,1] => 2

[5,3,1,10,9,8,7,6,4,2] => [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [2,1,1,1,1,1,1,1,1] => 2

[7,5,2,1,8,4,3,6] => [[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 3

[5,3,1,4,7,8,2,6] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[7,1,5,8,2,3,4,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [5,2,1] => 5

[3,6,8,5,1,4,2,7] => [[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,3,1,1] => 3

[5,2,4,1,6,8,3,7] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,2,4,7,8,5,6,3] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [5,2,1] => 5

[8,3,6,5,7,4,2,1] => [[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [3,1,1,1,1,1] => 3

[8,2,6,5,7,4,3,1] => [[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [3,1,1,1,1,1] => 3

[8,4,7,1,5,2,6,3] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[8,2,6,3,7,5,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[8,2,5,3,7,6,4,1] => [[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 3

[8,5,7,1,4,3,6,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,3,1,8,4,2,6,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[6,1,5,4,7,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[3,1,8,4,2,7,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 3

[2,8,7,4,1,3,6,5] => [[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [3,2,1,1,1] => 3

[8,2,3,1,7,6,4,5] => [[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [3,2,1,1,1] => 3

[8,7,2,3,1,6,4,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,2,5,8,3,1,4,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[6,8,2,3,1,7,4,5] => [[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [3,2,2,1] => 3

[8,2,5,7,3,1,4,6] => [[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [3,3,1,1] => 3

[8,2,7,3,1,4,5,6] => [[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [4,2,1,1] => 4

[5,3,2,8,7,1,6,4] => [[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [2,2,1,1,1,1] => 2

[8,6,7,4,1,3,5,2] => [[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [3,2,1,1,1] => 3

[4,1,3,6,5,2,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [3,2,1,1,1] => 3

[4,6,3,2,5,1,8,7] => [[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,2,2,1,1] => 2

[8,1,6,2,5,4,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 4

[2,4,3,8,6,1,7,5] => [[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [3,2,1,1,1] => 3

[6,1,3,2,5,8,7,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 4

[3,5,4,6,1,2,8,7] => [[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [3,3,1,1] => 3

[7,3,5,6,1,8,2,4] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[5,7,6,3,4,2,8,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[4,6,7,2,3,5,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [4,3,1] => 4

[6,5,4,8,7,2,3,1] => [[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [2,2,1,1,1,1] => 2

[5,7,4,3,6,2,1,8] => [[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,2,2,1,1] => 2

[9,8,7,5,1,6,4,3,2] => [[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [2,1,1,1,1,1,1,1] => 2

[10,9,8,6,1,7,5,4,3,2] => [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 2

[8,5,6,1,3,2,7,4] => [[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [3,2,1,1,1] => 3

[4,5,8,7,2,3,1,6] => [[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,2,2,1] => 3

[8,2,6,4,3,7,5,1] => [[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 3

[8,6,3,2,7,4,5,1] => [[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 3

[1,3,6,8,7,4,5,2] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [4,2,1,1] => 4

[5,7,1,3,6,2,4,8] => [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [4,2,2] => 4

[4,7,1,3,2,5,8,6] => [[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [4,2,1,1] => 4

[5,8,7,3,4,2,6,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,5,2,3,7,4,6,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[4,7,6,3,5,2,8,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[8,5,1,2,7,6,4,3] => [[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 3

[6,7,10,1,2,3,4,5,8,9] => [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [7,3] => 7

[3,7,8,5,6,2,4,1] => [[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,2,2,1] => 3

[4,3,8,7,1,6,2,5] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[1,5,3,8,4,7,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[8,2,3,1,6,5,7,4] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[8,4,2,7,1,3,6,5] => [[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [3,2,1,1,1] => 3

[8,4,2,3,1,6,7,5] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[3,8,2,6,4,7,1,5] => [[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [3,2,2,1] => 3

[1,7,5,8,6,2,4,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [3,2,1,1,1] => 3

[10,9,8,6,7,5,4,3,2,1] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[7,6,3,5,1,4,8,2] => [[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [3,2,1,1,1] => 3

[6,5,4,1,7,2,3,8] => [[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 4

[8,3,6,1,7,4,5,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[7,1,2,6,4,8,3,5] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[3,5,1,8,6,2,4,7] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[9,8,7,6,4,3,2,5,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,1,1,1,1,1,1,1] => 2

[9,8,7,6,4,3,5,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,1,1,1,1,1,1,1] => 2

[10,9,7,6,8,5,4,3,2,1] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[10,8,7,6,9,5,4,3,2,1] => [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[8,9,7,6,4,3,2,1,5] => [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,2,1,1,1,1,1] => 2

[7,6,5,3,2,1,4,8,9] => [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,1,1,1,1,1] => 4

[9,8,7,6,4,3,5,1,2] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[9,8,7,6,5,3,4,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,1,1,1,1,1,1,1] => 2

[1,8,7,5,4,6,2,3] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[8,1,6,7,4,5,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [3,2,1,1,1] => 3

[8,1,6,4,7,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 3

[6,4,8,1,5,3,7,2] => [[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [3,2,1,1,1] => 3

[5,1,4,3,7,8,6,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 4

[5,7,1,8,6,3,2,4] => [[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [3,2,1,1,1] => 3

[4,1,3,7,6,5,2,8] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [3,2,1,1,1] => 3

[8,7,6,5,4,2,3,1,9] => [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [2,2,1,1,1,1,1] => 2

[4,3,6,1,2,7,8,5] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[7,2,6,1,3,5,8,4] => [[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [4,2,1,1] => 4

[6,2,7,1,5,8,3,4] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[5,8,3,6,7,2,4,1] => [[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,2,1] => 3

[8,1,6,2,5,7,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 4

[6,8,7,3,4,2,5,1] => [[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,2,2,1,1] => 2

[5,7,3,6,4,2,1,8] => [[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,2,2,1,1] => 2

[3,7,5,6,4,1,8,2] => [[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [3,2,1,1,1] => 3

[9,8,6,5,4,3,7,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,1,1,1,1,1,1,1] => 2

[6,7,2,3,5,8,1,4] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [4,2,2] => 4

[2,1,3,8,5,4,6,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[7,1,2,5,3,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 5

[1,8,3,4,5,7,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [5,2,1] => 5

[7,8,2,6,5,4,3,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[7,3,6,8,1,5,4,2] => [[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [3,2,1,1,1] => 3

[7,5,8,2,4,3,6,1] => [[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [3,2,1,1,1] => 3

[6,5,8,2,3,4,1,7] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,1,5,3,4,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[8,4,1,3,2,6,5,7] => [[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 4

[8,7,2,3,5,4,6,1] => [[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 4

[1,7,6,8,4,5,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,2,1,1,1] => 3

[2,7,3,1,8,5,6,4] => [[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,1,1] => 3

[3,8,5,2,1,6,7,4] => [[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,1,1] => 3

[4,8,7,1,2,5,3,6] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[8,7,2,6,1,4,3,5] => [[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [3,2,1,1,1] => 3

[7,1,8,6,4,2,3,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[4,1,3,5,8,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [4,3,1] => 4

[1,8,5,7,4,6,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,2,1,1,1] => 3

[1,4,7,6,8,3,5,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => [4,2,1,1] => 4

[1,7,2,8,6,5,3,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 4

[5,7,1,6,4,2,3,8] => [[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [4,2,1,1] => 4

[2,8,4,6,7,1,5,3] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[1,7,6,2,5,3,8,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[1,7,5,2,4,3,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 4

[9,7,6,5,4,3,2,8,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,1,1,1,1,1,1,1] => 2

[5,1,7,3,2,6,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[4,8,2,3,7,5,1,6] => [[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [3,2,2,1] => 3

[6,8,1,5,7,3,2,4] => [[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [3,2,2,1] => 3

[4,1,7,5,6,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[3,7,6,2,1,4,5,8] => [[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [4,2,1,1] => 4

[1,4,8,7,6,3,5,2] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [3,2,1,1,1] => 3

[4,6,7,5,2,3,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,2,1] => 3

[6,2,5,3,1,8,7,4] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[6,4,5,3,8,7,1,2] => [[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [2,2,2,1,1] => 2

[1,6,4,5,8,7,3,2] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [4,1,1,1,1] => 4

[8,4,7,5,2,3,1,6] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[6,4,5,8,7,3,1,2] => [[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [3,2,1,1,1] => 3

[6,2,8,7,5,3,1,4] => [[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [2,2,1,1,1,1] => 2

[6,7,2,4,5,3,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [3,2,2,1] => 3

[2,8,4,7,5,3,1,6] => [[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [3,2,1,1,1] => 3

[4,8,6,2,5,7,1,3] => [[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,2,1] => 3

[6,8,1,2,4,7,3,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [4,2,2] => 4

[8,3,7,6,2,5,4,1] => [[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [2,2,1,1,1,1] => 2

[1,2,7,4,5,6,8,9,3] => [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [7,1,1] => 7

[4,6,1,3,5,8,2,7] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[4,5,1,3,8,7,2,6] => [[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [3,2,2,1] => 3

[6,2,7,1,8,3,4,5] => [[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [4,2,1,1] => 4

[6,4,5,8,1,7,2,3] => [[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [3,3,1,1] => 3

[6,2,8,5,1,4,7,3] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[2,4,7,6,1,8,3,5] => [[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,3,1,1] => 3

[2,6,7,8,9,10,1,3,4,5] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,4] => 6

[10,8,9,7,6,5,4,3,2,1] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[7,4,5,8,6,3,2,1] => [[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [3,1,1,1,1,1] => 3

[10,8,6,4,2,1,9,7,5,3] => [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [2,1,1,1,1,1,1,1,1] => 2

[9,6,7,8,5,4,3,2,1] => [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [3,1,1,1,1,1,1] => 3

[4,6,2,7,5,8,1,9,3,10] => [[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [3,3,2,1,1] => 3

[4,5,3,6,2,8,1,9,7,10] => [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [3,2,2,2,1] => 3

[3,5,6,7,9,1,2,4,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,4] => 5

[7,4,1,3,6,8,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[6,8,1,2,7,3,4,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [5,2,1] => 5

[1,6,8,5,7,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [3,2,1,1,1] => 3

[3,8,1,2,4,7,6,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [4,2,1,1] => 4

[1,4,5,7,3,6,8,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,3,1] => 4

[2,3,8,1,4,6,5,7] => [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [4,3,1] => 4

[4,2,7,3,5,8,1,6] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[3,1,8,4,5,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[7,1,4,2,8,6,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 4

[2,3,7,4,8,1,6,5] => [[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [4,2,1,1] => 4

[8,4,6,3,5,1,7,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,4,5,7,1,6,8,3] => [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,1] => 4

[6,1,4,8,2,3,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [4,2,1,1] => 4

[2,5,7,8,6,4,1,3] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,2,1,1] => 4

[8,5,6,2,3,7,4,1] => [[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [3,2,1,1,1] => 3

[7,8,1,4,5,6,2,3] => [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [4,2,2] => 4

[6,7,8,9,1,5,4,3,2] => [[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [4,3,2,1,6,7,8,9,5] => [4,2,1,1,1] => 4

[7,8,9,10,1,6,5,4,3,2] => [[.,[.,[.,[.,.]]]],[[[[[.,.],.],.],.],.]] => [4,3,2,1,6,7,8,9,10,5] => [4,2,1,1,1,1] => 4

[9,10,1,7,8,5,6,3,4,2] => [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,10,3] => [3,2,2,2,1] => 3

[1,2,6,7,8,3,5,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,2,1] => 5

[8,1,2,6,5,7,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[7,1,2,6,5,8,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [4,2,1,1] => 4

[2,6,1,4,7,5,8,3] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[3,1,7,5,2,6,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [4,1,1,1,1] => 4

[3,2,7,5,1,6,8,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[5,2,7,3,1,6,8,4] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[6,7,2,1,3,4,8,5] => [[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [4,2,1,1] => 4

[2,3,4,5,7,9,6,8,1] => [[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.] => [6,5,8,7,4,3,2,1,9] => [6,2,1] => 6

[2,3,5,6,8,4,7,1] => [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [5,2,1] => 5

[4,5,8,7,6,3,1,2] => [[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,2,1,1,1] => 3

[1,4,3,5,8,2,6,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [4,3,1] => 4

[2,1,3,8,6,4,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 5

[1,3,6,4,5,8,2,7] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [5,2,1] => 5

[6,1,4,3,5,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [4,2,1,1] => 4

[6,5,1,3,8,2,4,7] => [[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [4,2,1,1] => 4

[1,4,3,8,6,2,5,7] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[4,1,3,8,6,2,5,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[7,1,5,4,6,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [3,2,1,1,1] => 3

[3,5,6,7,1,8,4,2] => [[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,2,1,1] => 4

[3,7,6,1,4,8,5,2] => [[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,1,1] => 3

[8,4,7,1,5,6,2,3] => [[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [3,2,2,1] => 3

[1,7,5,4,3,8,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [3,2,1,1,1] => 3

[4,5,8,1,7,3,2,6] => [[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,3,1,1] => 3

[4,6,7,1,3,8,2,5] => [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,3,2] => 3

[2,6,3,1,4,7,8,5] => [[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [4,2,1,1] => 4

[2,7,3,4,1,8,5,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[4,2,6,3,5,8,1,7] => [[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [4,2,1,1] => 4

[7,4,2,6,8,5,3,1] => [[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 3

[7,4,1,2,8,5,6,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[6,4,1,8,5,2,3,7] => [[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 4

[7,3,4,1,6,8,5,2] => [[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [3,2,1,1,1] => 3

[6,3,4,8,5,1,2,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[8,5,1,2,7,4,6,3] => [[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 4

[1,6,7,5,4,8,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,2,2,1] => 3

[1,8,5,4,2,6,3,7] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 4

[8,9,7,6,5,4,1,3,2] => [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [2,2,1,1,1,1,1] => 2

[10,8,7,6,5,4,3,2,9,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,1,1,1,1,1,1,1,1] => 2

[5,8,6,1,2,4,3,7] => [[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [4,2,1,1] => 4

[1,4,5,7,6,8,2,3] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [5,2,1] => 5

[6,2,5,7,4,1,8,3] => [[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [3,2,1,1,1] => 3

[4,7,1,3,5,6,8,2] => [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [5,2,1] => 5

[4,3,5,7,8,2,6,1] => [[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [4,2,1,1] => 4

[5,3,2,7,6,4,1,8] => [[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [2,2,1,1,1,1] => 2

[5,3,7,4,6,2,1,8] => [[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [3,2,1,1,1] => 3

[5,7,3,2,1,8,6,4] => [[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,2,1,1,1,1] => 2

[5,7,6,3,2,1,8,4] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[3,2,7,5,4,1,8,6] => [[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [2,2,1,1,1,1] => 2

[1,7,3,5,4,2,6,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[5,3,7,4,1,8,6,2] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,3,5,4,1,6,8,2] => [[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [3,2,1,1,1] => 3

[7,5,1,6,8,3,2,4] => [[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [3,2,1,1,1] => 3

[7,1,5,2,4,3,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 5

[9,10,7,6,5,4,3,2,1,8] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,2,1,1,1,1,1,1] => 2

[6,3,2,1,5,8,4,7] => [[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [3,2,1,1,1] => 3

[6,3,5,2,7,8,4,1] => [[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [3,2,1,1,1] => 3

[4,5,3,1,6,8,2,7] => [[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,2,1] => 3

[7,4,1,2,5,6,8,3] => [[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 5

[6,5,8,3,7,1,4,2] => [[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [2,2,2,1,1] => 2

[2,5,4,7,1,8,3,6] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[3,4,5,8,1,9,7,6,2] => [[.,[.,[.,[.,.]]]],[[[[.,.],.],.],.]] => [4,3,2,1,6,7,8,9,5] => [4,2,1,1,1] => 4

[3,7,8,4,5,6,1,2] => [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [4,2,2] => 4

[1,3,8,6,7,4,5,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [4,2,1,1] => 4

[5,7,1,3,6,4,8,2] => [[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [4,2,1,1] => 4

[8,2,5,4,1,7,3,6] => [[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [3,2,1,1,1] => 3

[8,1,7,6,4,2,3,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 4

[1,8,6,3,7,4,5,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 4

[6,4,8,7,3,2,5,1] => [[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [2,2,1,1,1,1] => 2

[5,6,2,8,7,4,3,1] => [[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,2,1,1,1,1] => 2

[6,2,8,3,7,4,5,1] => [[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 4

[3,7,5,6,4,2,8,1] => [[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [3,2,1,1,1] => 3

[5,2,3,8,6,1,4,7] => [[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [3,3,1,1] => 3

[1,4,3,8,5,6,2,7] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [4,2,1,1] => 4

[10,5,4,1,2,3,6,7,8,9] => [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [7,1,1,1] => 7

[8,3,6,5,2,7,1,4] => [[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [2,2,2,1,1] => 2

[5,1,3,6,4,2,7,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [4,2,1,1] => 4

[8,3,1,4,6,7,2,5] => [[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [4,2,1,1] => 4

[7,8,5,1,2,6,3,4] => [[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [4,2,1,1] => 4

[6,4,5,1,8,7,3,2] => [[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [2,2,1,1,1,1] => 2

[8,6,2,1,7,3,5,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 3

[4,3,6,2,5,7,1,8] => [[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [3,2,2,1] => 3

[8,2,6,5,1,7,4,3] => [[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [2,2,1,1,1,1] => 2

[7,6,4,1,2,5,8,3] => [[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 4

[2,6,5,4,8,7,1,3] => [[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => [3,2,1,1,1] => 3

[5,6,7,1,3,2,4,8] => [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [4,3,1] => 4

[7,1,8,4,3,2,6,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 3

[1,8,5,2,7,6,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 3

[1,7,6,8,2,5,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [3,2,1,1,1] => 3

[4,6,5,7,1,8,2,3] => [[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [3,3,1,1] => 3

[7,2,5,6,4,8,3,1] => [[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [3,2,1,1,1] => 3

[7,4,6,2,8,5,3,1] => [[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [2,2,1,1,1,1] => 2

[9,7,6,5,4,3,8,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,1,1,1,1,1,1,1] => 2

[9,8,6,5,4,7,3,2,1] => [[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,1,1,1,1,1,1,1] => 2

[10,8,7,6,5,4,3,9,2,1] => [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[10,9,7,6,5,4,8,3,2,1] => [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [2,1,1,1,1,1,1,1,1] => 2

[1,5,7,6,2,3,8,4] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [4,2,1,1] => 4

[1,4,3,7,6,2,5,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [2,4,5,3,8,7,6,1] => [4,2,1,1] => 4

[3,7,4,6,8,1,5,2] => [[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [4,2,1,1] => 4

[5,6,1,4,3,8,7,2] => [[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [3,2,1,1,1] => 3

[5,8,6,4,3,1,7,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,2,1,1,1,1] => 2

[4,1,3,7,8,6,5,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,1,1,1,1] => 4

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$F_{1} = q$

$F_{2} = q + q^{2}$

$F_{3} = q + 4\ q^{2} + q^{3}$

$F_{4} = q + 14\ q^{2} + 8\ q^{3} + q^{4}$

$F_{5} = q + 51\ q^{2} + 54\ q^{3} + 13\ q^{4} + q^{5}$

$F_{6} = q + 202\ q^{2} + 365\ q^{3} + 132\ q^{4} + 19\ q^{5} + q^{6}$

$F_{7} = q + 876\ q^{2} + 2582\ q^{3} + 1289\ q^{4} + 265\ q^{5} + 26\ q^{6} + q^{7}$

Description

The largest part of an integer partition.

Map

to increasing tree

Description

Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length

$0$ to the empty tree, and sending a permutation

$\sigma$ of length

$n \geq 1$ to a root node with two subtrees

$L$ and

$R$ by splitting

$\sigma$ at the index

$\sigma^{-1}(1)$ , normalizing both sides again to permutations and sending the permutations on the left and on the right of

$\sigma^{-1}(1)$ to the trees

$L$ and

$R$ , respectively.

Map

to 312-avoiding permutation

Description

Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.

Map

LLPS

Description

The Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
An ascent in a sequence

$u = (u_1, u_2, \ldots)$ is an index

$i$ such that

$u_i < u_{i+1}$ . Let

$\mathrm{asc}(u)$ denote the number of ascents of

$u$ , and let

$\mathrm{asc}^{*}(u) := \begin{cases} 0 &\textrm{if u is empty}, \\ 1 + \mathrm{asc}(u) &\textrm{otherwise}.\end{cases}$
Given a permutation

$w$ in the symmetric group

$\mathfrak{S}_n$ , define

$A'_k := \max_{u_1, \ldots, u_k} (\mathrm{asc}^{*}(u_1) + \cdots + \mathrm{asc}^{*}(u_k))$
where the maximum is taken over disjoint subsequences

${u_i}$ of

$w$ .
Then

$A'_1, A'_2-A'_1, A'_3-A'_2,\dots$ is a partition of

$n$ . Its conjugate is the Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.