- FindStat

Identifier

Mp00080: Set partitions —to permutation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
St000385: Binary trees ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 1937 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

{{1,2,3,4,5,6,7}} => [2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 4

{{1,2,3,4,5,6},{7}} => [2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 4

{{1,2,3,4,5,7},{6}} => [2,3,4,5,7,6,1] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 4

{{1,2,3,4,5},{6,7}} => [2,3,4,5,1,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 4

{{1,2,3,4,5},{6},{7}} => [2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 4

{{1,2,3,4,6,7},{5}} => [2,3,4,6,5,7,1] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2,3,4,6},{5,7}} => [2,3,4,6,7,1,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2,3,4,6},{5},{7}} => [2,3,4,6,5,1,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2,3,4,7},{5,6}} => [2,3,4,7,6,5,1] => [[.,.],[.,[.,[[[.,.],.],.]]]] => 4

{{1,2,3,4},{5,6,7}} => [2,3,4,1,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2,3,4},{5,6},{7}} => [2,3,4,1,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2,3,4,7},{5},{6}} => [2,3,4,7,5,6,1] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => 4

{{1,2,3,4},{5,7},{6}} => [2,3,4,1,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => 4

{{1,2,3,4},{5},{6,7}} => [2,3,4,1,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 4

{{1,2,3,4},{5},{6},{7}} => [2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 4

{{1,2,3,5,6,7},{4}} => [2,3,5,4,6,7,1] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3,5,6},{4,7}} => [2,3,5,7,6,1,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2

{{1,2,3,5,6},{4},{7}} => [2,3,5,4,6,1,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3,5,7},{4,6}} => [2,3,5,6,7,4,1] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3,5},{4,6,7}} => [2,3,5,6,1,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3,5},{4,6},{7}} => [2,3,5,6,1,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3,5,7},{4},{6}} => [2,3,5,4,7,6,1] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2

{{1,2,3,5},{4,7},{6}} => [2,3,5,7,1,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2

{{1,2,3,5},{4},{6,7}} => [2,3,5,4,1,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2

{{1,2,3,5},{4},{6},{7}} => [2,3,5,4,1,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3,6,7},{4,5}} => [2,3,6,5,4,7,1] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2

{{1,2,3,6},{4,5,7}} => [2,3,6,5,7,1,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2

{{1,2,3,6},{4,5},{7}} => [2,3,6,5,4,1,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2

{{1,2,3,7},{4,5,6}} => [2,3,7,5,6,4,1] => [[.,.],[.,[[[.,.],[.,.]],.]]] => 2

{{1,2,3},{4,5,6,7}} => [2,3,1,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3},{4,5,6},{7}} => [2,3,1,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3,7},{4,5},{6}} => [2,3,7,5,4,6,1] => [[.,.],[.,[[[.,.],[.,.]],.]]] => 2

{{1,2,3},{4,5,7},{6}} => [2,3,1,5,7,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2

{{1,2,3},{4,5},{6,7}} => [2,3,1,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2

{{1,2,3},{4,5},{6},{7}} => [2,3,1,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,3,6,7},{4},{5}} => [2,3,6,4,5,7,1] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => 2

{{1,2,3,6},{4,7},{5}} => [2,3,6,7,5,1,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2

{{1,2,3,6},{4},{5,7}} => [2,3,6,4,7,1,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => 2

{{1,2,3,6},{4},{5},{7}} => [2,3,6,4,5,1,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => 2

{{1,2,3,7},{4,6},{5}} => [2,3,7,6,5,4,1] => [[.,.],[.,[[[[.,.],.],.],.]]] => 4

{{1,2,3},{4,6,7},{5}} => [2,3,1,6,5,7,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2

{{1,2,3},{4,6},{5,7}} => [2,3,1,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => 2

{{1,2,3},{4,6},{5},{7}} => [2,3,1,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2

{{1,2,3,7},{4},{5,6}} => [2,3,7,4,6,5,1] => [[.,.],[.,[[.,[[.,.],.]],.]]] => 4

{{1,2,3},{4,7},{5,6}} => [2,3,1,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => 4

{{1,2,3},{4},{5,6,7}} => [2,3,1,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2,3},{4},{5,6},{7}} => [2,3,1,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2,3,7},{4},{5},{6}} => [2,3,7,4,5,6,1] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => 4

{{1,2,3},{4,7},{5},{6}} => [2,3,1,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => 2

{{1,2,3},{4},{5,7},{6}} => [2,3,1,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => 4

{{1,2,3},{4},{5},{6,7}} => [2,3,1,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 4

{{1,2,3},{4},{5},{6},{7}} => [2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 4

{{1,2,4,5,6,7},{3}} => [2,4,3,5,6,7,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4,5,6},{3,7}} => [2,4,7,5,6,1,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => 2

{{1,2,4,5,6},{3},{7}} => [2,4,3,5,6,1,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4,5,7},{3,6}} => [2,4,6,5,7,3,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4,5},{3,6,7}} => [2,4,6,5,1,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4,5},{3,6},{7}} => [2,4,6,5,1,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4,5,7},{3},{6}} => [2,4,3,5,7,6,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2,4,5},{3,7},{6}} => [2,4,7,5,1,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => 2

{{1,2,4,5},{3},{6,7}} => [2,4,3,5,1,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2,4,5},{3},{6},{7}} => [2,4,3,5,1,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4,6,7},{3,5}} => [2,4,5,6,3,7,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4,6},{3,5,7}} => [2,4,5,6,7,1,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4,6},{3,5},{7}} => [2,4,5,6,3,1,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4,7},{3,5,6}} => [2,4,5,7,6,3,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2,4},{3,5,6,7}} => [2,4,5,1,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4},{3,5,6},{7}} => [2,4,5,1,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4,7},{3,5},{6}} => [2,4,5,7,3,6,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2,4},{3,5,7},{6}} => [2,4,5,1,7,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2,4},{3,5},{6,7}} => [2,4,5,1,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2,4},{3,5},{6},{7}} => [2,4,5,1,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,4,6,7},{3},{5}} => [2,4,3,6,5,7,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4,6},{3,7},{5}} => [2,4,7,6,5,1,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => 2

{{1,2,4,6},{3},{5,7}} => [2,4,3,6,7,1,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4,6},{3},{5},{7}} => [2,4,3,6,5,1,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4,7},{3,6},{5}} => [2,4,6,7,5,3,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4},{3,6,7},{5}} => [2,4,6,1,5,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4},{3,6},{5,7}} => [2,4,6,1,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4},{3,6},{5},{7}} => [2,4,6,1,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4,7},{3},{5,6}} => [2,4,3,7,6,5,1] => [[.,.],[[.,.],[[[.,.],.],.]]] => 2

{{1,2,4},{3,7},{5,6}} => [2,4,7,1,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => 2

{{1,2,4},{3},{5,6,7}} => [2,4,3,1,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4},{3},{5,6},{7}} => [2,4,3,1,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,4,7},{3},{5},{6}} => [2,4,3,7,5,6,1] => [[.,.],[[.,.],[[.,[.,.]],.]]] => 2

{{1,2,4},{3,7},{5},{6}} => [2,4,7,1,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => 2

{{1,2,4},{3},{5,7},{6}} => [2,4,3,1,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => 2

{{1,2,4},{3},{5},{6,7}} => [2,4,3,1,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2,4},{3},{5},{6},{7}} => [2,4,3,1,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,5,6,7},{3,4}} => [2,5,4,3,6,7,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,5,6},{3,4,7}} => [2,5,4,7,6,1,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2,5,6},{3,4},{7}} => [2,5,4,3,6,1,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,5,7},{3,4,6}} => [2,5,4,6,7,3,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,5},{3,4,6,7}} => [2,5,4,6,1,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,5},{3,4,6},{7}} => [2,5,4,6,1,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,5,7},{3,4},{6}} => [2,5,4,3,7,6,1] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2,5},{3,4,7},{6}} => [2,5,4,7,1,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2,5},{3,4},{6,7}} => [2,5,4,3,1,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2,5},{3,4},{6},{7}} => [2,5,4,3,1,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,6,7},{3,4,5}} => [2,6,4,5,3,7,1] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,6},{3,4,5,7}} => [2,6,4,5,7,1,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,6},{3,4,5},{7}} => [2,6,4,5,3,1,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,7},{3,4,5,6}} => [2,7,4,5,6,3,1] => [[.,.],[[[.,.],[.,[.,.]]],.]] => 2

{{1,2},{3,4,5,6,7}} => [2,1,4,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2},{3,4,5,6},{7}} => [2,1,4,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,7},{3,4,5},{6}} => [2,7,4,5,3,6,1] => [[.,.],[[[.,.],[.,[.,.]]],.]] => 2

{{1,2},{3,4,5,7},{6}} => [2,1,4,5,7,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2},{3,4,5},{6,7}} => [2,1,4,5,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2},{3,4,5},{6},{7}} => [2,1,4,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,6,7},{3,4},{5}} => [2,6,4,3,5,7,1] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,6},{3,4,7},{5}} => [2,6,4,7,5,1,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,6},{3,4},{5,7}} => [2,6,4,3,7,1,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,6},{3,4},{5},{7}} => [2,6,4,3,5,1,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,7},{3,4,6},{5}} => [2,7,4,6,5,3,1] => [[.,.],[[[.,.],[[.,.],.]],.]] => 2

{{1,2},{3,4,6,7},{5}} => [2,1,4,6,5,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2},{3,4,6},{5,7}} => [2,1,4,6,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2},{3,4,6},{5},{7}} => [2,1,4,6,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,7},{3,4},{5,6}} => [2,7,4,3,6,5,1] => [[.,.],[[[.,.],[[.,.],.]],.]] => 2

{{1,2},{3,4,7},{5,6}} => [2,1,4,7,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => 2

{{1,2},{3,4},{5,6,7}} => [2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2},{3,4},{5,6},{7}} => [2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => 0

{{1,2,7},{3,4},{5},{6}} => [2,7,4,3,5,6,1] => [[.,.],[[[.,.],[.,[.,.]]],.]] => 2

{{1,2},{3,4,7},{5},{6}} => [2,1,4,7,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => 2

{{1,2},{3,4},{5,7},{6}} => [2,1,4,3,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => 2

{{1,2},{3,4},{5},{6,7}} => [2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => 2

{{1,2},{3,4},{5},{6},{7}} => [2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => 2

{{1,2,5,6,7},{3},{4}} => [2,5,3,4,6,7,1] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2,5,6},{3,7},{4}} => [2,5,7,4,6,1,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2,5,6},{3},{4,7}} => [2,5,3,7,6,1,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 2

{{1,2,5,6},{3},{4},{7}} => [2,5,3,4,6,1,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2,5,7},{3,6},{4}} => [2,5,6,4,7,3,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,5},{3,6,7},{4}} => [2,5,6,4,1,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,5},{3,6},{4,7}} => [2,5,6,7,1,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2,5},{3,6},{4},{7}} => [2,5,6,4,1,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,5,7},{3},{4,6}} => [2,5,3,6,7,4,1] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2,5},{3,7},{4,6}} => [2,5,7,6,1,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2,5},{3},{4,6,7}} => [2,5,3,6,1,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2,5},{3},{4,6},{7}} => [2,5,3,6,1,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2,5,7},{3},{4},{6}} => [2,5,3,4,7,6,1] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 2

{{1,2,5},{3,7},{4},{6}} => [2,5,7,4,1,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2,5},{3},{4,7},{6}} => [2,5,3,7,1,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 2

{{1,2,5},{3},{4},{6,7}} => [2,5,3,4,1,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 2

{{1,2,5},{3},{4},{6},{7}} => [2,5,3,4,1,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2,6,7},{3,5},{4}} => [2,6,5,4,3,7,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => 2

{{1,2,6},{3,5,7},{4}} => [2,6,5,4,7,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => 2

{{1,2,6},{3,5},{4,7}} => [2,6,5,7,3,1,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => 2

{{1,2,6},{3,5},{4},{7}} => [2,6,5,4,3,1,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => 2

{{1,2,7},{3,5,6},{4}} => [2,7,5,4,6,3,1] => [[.,.],[[[[.,.],.],[.,.]],.]] => 2

{{1,2},{3,5,6,7},{4}} => [2,1,5,4,6,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2},{3,5,6},{4,7}} => [2,1,5,7,6,3,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 2

{{1,2},{3,5,6},{4},{7}} => [2,1,5,4,6,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,7},{3,5},{4,6}} => [2,7,5,6,3,4,1] => [[.,.],[[[.,[.,.]],[.,.]],.]] => 2

{{1,2},{3,5,7},{4,6}} => [2,1,5,6,7,4,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2},{3,5},{4,6,7}} => [2,1,5,6,3,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2},{3,5},{4,6},{7}} => [2,1,5,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => 2

{{1,2,7},{3,5},{4},{6}} => [2,7,5,4,3,6,1] => [[.,.],[[[[.,.],.],[.,.]],.]] => 2

{{1,2},{3,5,7},{4},{6}} => [2,1,5,4,7,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2},{3,5},{4,7},{6}} => [2,1,5,7,3,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => 2

{{1,2},{3,5},{4},{6,7}} => [2,1,5,4,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => 2

{{1,2},{3,5},{4},{6},{7}} => [2,1,5,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => 2

{{1,2,6,7},{3},{4,5}} => [2,6,3,5,4,7,1] => [[.,.],[[.,[[.,.],.]],[.,.]]] => 2

{{1,2,6},{3,7},{4,5}} => [2,6,7,5,4,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => 2

{{1,2,6},{3},{4,5,7}} => [2,6,3,5,7,1,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => 2

{{1,2,6},{3},{4,5},{7}} => [2,6,3,5,4,1,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => 2

{{1,2,7},{3,6},{4,5}} => [2,7,6,5,4,3,1] => [[.,.],[[[[[.,.],.],.],.],.]] => 4

{{1,2},{3,6,7},{4,5}} => [2,1,6,5,4,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => 2

{{1,2},{3,6},{4,5,7}} => [2,1,6,5,7,3,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => 2

{{1,2},{3,6},{4,5},{7}} => [2,1,6,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => 2

{{1,2,7},{3},{4,5,6}} => [2,7,3,5,6,4,1] => [[.,.],[[.,[[.,.],[.,.]]],.]] => 2

{{1,2},{3,7},{4,5,6}} => [2,1,7,5,6,4,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => 2

{{1,2},{3},{4,5,6,7}} => [2,1,3,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2},{3},{4,5,6},{7}} => [2,1,3,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,7},{3},{4,5},{6}} => [2,7,3,5,4,6,1] => [[.,.],[[.,[[.,.],[.,.]]],.]] => 2

{{1,2},{3,7},{4,5},{6}} => [2,1,7,5,4,6,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => 2

{{1,2},{3},{4,5,7},{6}} => [2,1,3,5,7,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2

{{1,2},{3},{4,5},{6,7}} => [2,1,3,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => 2

{{1,2},{3},{4,5},{6},{7}} => [2,1,3,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => 2

{{1,2,6,7},{3},{4},{5}} => [2,6,3,4,5,7,1] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 2

{{1,2,6},{3,7},{4},{5}} => [2,6,7,4,5,1,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,6},{3},{4,7},{5}} => [2,6,3,7,5,1,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => 2

{{1,2,6},{3},{4},{5,7}} => [2,6,3,4,7,1,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 2

{{1,2,6},{3},{4},{5},{7}} => [2,6,3,4,5,1,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => 2

{{1,2,7},{3,6},{4},{5}} => [2,7,6,4,5,3,1] => [[.,.],[[[[.,.],[.,.]],.],.]] => 2

{{1,2},{3,6,7},{4},{5}} => [2,1,6,4,5,7,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2},{3,6},{4,7},{5}} => [2,1,6,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => 2

{{1,2},{3,6},{4},{5,7}} => [2,1,6,4,7,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2},{3,6},{4},{5},{7}} => [2,1,6,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => 0

{{1,2,7},{3},{4,6},{5}} => [2,7,3,6,5,4,1] => [[.,.],[[.,[[[.,.],.],.]],.]] => 4

{{1,2},{3,7},{4,6},{5}} => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => 4

{{1,2},{3},{4,6,7},{5}} => [2,1,3,6,5,7,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2

{{1,2},{3},{4,6},{5,7}} => [2,1,3,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => 2

{{1,2},{3},{4,6},{5},{7}} => [2,1,3,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => 2

{{1,2,7},{3},{4},{5,6}} => [2,7,3,4,6,5,1] => [[.,.],[[.,[.,[[.,.],.]]],.]] => 4

{{1,2},{3,7},{4},{5,6}} => [2,1,7,4,6,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => 2

{{1,2},{3},{4,7},{5,6}} => [2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => 4

{{1,2},{3},{4},{5,6,7}} => [2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2},{3},{4},{5,6},{7}} => [2,1,3,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => 2

{{1,2,7},{3},{4},{5},{6}} => [2,7,3,4,5,6,1] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => 4

{{1,2},{3,7},{4},{5},{6}} => [2,1,7,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => 2

{{1,2},{3},{4,7},{5},{6}} => [2,1,3,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => 2

{{1,2},{3},{4},{5,7},{6}} => [2,1,3,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => 4

{{1,2},{3},{4},{5},{6,7}} => [2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => 4

{{1,2},{3},{4},{5},{6},{7}} => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => 4

{{1,3,4,5,6,7},{2}} => [3,2,4,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,3,4,5,6},{2,7}} => [3,7,4,5,6,1,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 4

{{1,3,4,5,6},{2},{7}} => [3,2,4,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,3,4,5,7},{2,6}} => [3,6,4,5,7,2,1] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 2

{{1,3,4,5},{2,6,7}} => [3,6,4,5,1,7,2] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2

{{1,3,4,5},{2,6},{7}} => [3,6,4,5,1,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2

{{1,3,4,5,7},{2},{6}} => [3,2,4,5,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 4

{{1,3,4,5},{2,7},{6}} => [3,7,4,5,1,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 4

{{1,3,4,5},{2},{6,7}} => [3,2,4,5,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 4

{{1,3,4,5},{2},{6},{7}} => [3,2,4,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,3,4,6,7},{2,5}} => [3,5,4,6,2,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,4,6},{2,5,7}} => [3,5,4,6,7,1,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3,4,6},{2,5},{7}} => [3,5,4,6,2,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,4,7},{2,5,6}} => [3,5,4,7,6,2,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3,4},{2,5,6,7}} => [3,5,4,1,6,7,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3,4},{2,5,6},{7}} => [3,5,4,1,6,2,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3,4,7},{2,5},{6}} => [3,5,4,7,2,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3,4},{2,5,7},{6}} => [3,5,4,1,7,6,2] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 2

{{1,3,4},{2,5},{6,7}} => [3,5,4,1,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 2

{{1,3,4},{2,5},{6},{7}} => [3,5,4,1,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3,4,6,7},{2},{5}} => [3,2,4,6,5,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,4,6},{2,7},{5}} => [3,7,4,6,5,1,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => 4

{{1,3,4,6},{2},{5,7}} => [3,2,4,6,7,1,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,4,6},{2},{5},{7}} => [3,2,4,6,5,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,4,7},{2,6},{5}} => [3,6,4,7,5,2,1] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 2

{{1,3,4},{2,6,7},{5}} => [3,6,4,1,5,7,2] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2

{{1,3,4},{2,6},{5,7}} => [3,6,4,1,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2

{{1,3,4},{2,6},{5},{7}} => [3,6,4,1,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2

{{1,3,4,7},{2},{5,6}} => [3,2,4,7,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => 4

{{1,3,4},{2,7},{5,6}} => [3,7,4,1,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => 4

{{1,3,4},{2},{5,6,7}} => [3,2,4,1,6,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,4},{2},{5,6},{7}} => [3,2,4,1,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,4,7},{2},{5},{6}} => [3,2,4,7,5,6,1] => [[[.,.],.],[.,[[.,[.,.]],.]]] => 4

{{1,3,4},{2,7},{5},{6}} => [3,7,4,1,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 4

{{1,3,4},{2},{5,7},{6}} => [3,2,4,1,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => 4

{{1,3,4},{2},{5},{6,7}} => [3,2,4,1,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 4

{{1,3,4},{2},{5},{6},{7}} => [3,2,4,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,3,5,6,7},{2,4}} => [3,4,5,2,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,3,5,6},{2,4,7}} => [3,4,5,7,6,1,2] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 4

{{1,3,5,6},{2,4},{7}} => [3,4,5,2,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,3,5,7},{2,4,6}} => [3,4,5,6,7,2,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,3,5},{2,4,6,7}} => [3,4,5,6,1,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 4

{{1,3,5},{2,4,6},{7}} => [3,4,5,6,1,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 4

{{1,3,5,7},{2,4},{6}} => [3,4,5,2,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 4

{{1,3,5},{2,4,7},{6}} => [3,4,5,7,1,6,2] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 4

{{1,3,5},{2,4},{6,7}} => [3,4,5,2,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 4

{{1,3,5},{2,4},{6},{7}} => [3,4,5,2,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,3,6,7},{2,4,5}} => [3,4,6,5,2,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,6},{2,4,5,7}} => [3,4,6,5,7,1,2] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 2

{{1,3,6},{2,4,5},{7}} => [3,4,6,5,2,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,7},{2,4,5,6}} => [3,4,7,5,6,2,1] => [[[.,.],.],[.,[[.,[.,.]],.]]] => 4

{{1,3},{2,4,5,6,7}} => [3,4,1,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 4

{{1,3},{2,4,5,6},{7}} => [3,4,1,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 4

{{1,3,7},{2,4,5},{6}} => [3,4,7,5,2,6,1] => [[[.,.],.],[.,[[.,[.,.]],.]]] => 4

{{1,3},{2,4,5,7},{6}} => [3,4,1,5,7,6,2] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 4

{{1,3},{2,4,5},{6,7}} => [3,4,1,5,2,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 4

{{1,3},{2,4,5},{6},{7}} => [3,4,1,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 4

{{1,3,6,7},{2,4},{5}} => [3,4,6,2,5,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,6},{2,4,7},{5}} => [3,4,6,7,5,1,2] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 2

{{1,3,6},{2,4},{5,7}} => [3,4,6,2,7,1,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,6},{2,4},{5},{7}} => [3,4,6,2,5,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,7},{2,4,6},{5}} => [3,4,7,6,5,2,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => 4

{{1,3},{2,4,6,7},{5}} => [3,4,1,6,5,7,2] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 2

{{1,3},{2,4,6},{5,7}} => [3,4,1,6,7,2,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 2

{{1,3},{2,4,6},{5},{7}} => [3,4,1,6,5,2,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 2

{{1,3,7},{2,4},{5,6}} => [3,4,7,2,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => 4

{{1,3},{2,4,7},{5,6}} => [3,4,1,7,6,5,2] => [[.,[.,.]],[.,[[[.,.],.],.]]] => 4

{{1,3},{2,4},{5,6,7}} => [3,4,1,2,6,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 2

{{1,3},{2,4},{5,6},{7}} => [3,4,1,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => 2

{{1,3,7},{2,4},{5},{6}} => [3,4,7,2,5,6,1] => [[[.,.],.],[.,[[.,[.,.]],.]]] => 4

{{1,3},{2,4,7},{5},{6}} => [3,4,1,7,5,6,2] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => 4

{{1,3},{2,4},{5,7},{6}} => [3,4,1,2,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => 4

{{1,3},{2,4},{5},{6,7}} => [3,4,1,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => 4

{{1,3},{2,4},{5},{6},{7}} => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => 4

{{1,3,5,6,7},{2},{4}} => [3,2,5,4,6,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,5,6},{2,7},{4}} => [3,7,5,4,6,1,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => 2

{{1,3,5,6},{2},{4,7}} => [3,2,5,7,6,1,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3,5,6},{2},{4},{7}} => [3,2,5,4,6,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,5,7},{2,6},{4}} => [3,6,5,4,7,2,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2

{{1,3,5},{2,6,7},{4}} => [3,6,5,4,1,7,2] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 2

{{1,3,5},{2,6},{4,7}} => [3,6,5,7,1,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 2

{{1,3,5},{2,6},{4},{7}} => [3,6,5,4,1,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 2

{{1,3,5,7},{2},{4,6}} => [3,2,5,6,7,4,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,5},{2,7},{4,6}} => [3,7,5,6,1,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => 2

{{1,3,5},{2},{4,6,7}} => [3,2,5,6,1,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,5},{2},{4,6},{7}} => [3,2,5,6,1,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,5,7},{2},{4},{6}} => [3,2,5,4,7,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3,5},{2,7},{4},{6}} => [3,7,5,4,1,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => 2

{{1,3,5},{2},{4,7},{6}} => [3,2,5,7,1,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3,5},{2},{4},{6,7}} => [3,2,5,4,1,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3,5},{2},{4},{6},{7}} => [3,2,5,4,1,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,6,7},{2,5},{4}} => [3,5,6,4,2,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,6},{2,5,7},{4}} => [3,5,6,4,7,1,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3,6},{2,5},{4,7}} => [3,5,6,7,2,1,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,6},{2,5},{4},{7}} => [3,5,6,4,2,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,7},{2,5,6},{4}} => [3,5,7,4,6,2,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3},{2,5,6,7},{4}} => [3,5,1,4,6,7,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3},{2,5,6},{4,7}} => [3,5,1,7,6,2,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 2

{{1,3},{2,5,6},{4},{7}} => [3,5,1,4,6,2,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3,7},{2,5},{4,6}} => [3,5,7,6,2,4,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3},{2,5,7},{4,6}} => [3,5,1,6,7,4,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3},{2,5},{4,6,7}} => [3,5,1,6,2,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3},{2,5},{4,6},{7}} => [3,5,1,6,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3,7},{2,5},{4},{6}} => [3,5,7,4,2,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3},{2,5,7},{4},{6}} => [3,5,1,4,7,6,2] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 2

{{1,3},{2,5},{4,7},{6}} => [3,5,1,7,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 2

{{1,3},{2,5},{4},{6,7}} => [3,5,1,4,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => 2

{{1,3},{2,5},{4},{6},{7}} => [3,5,1,4,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => 2

{{1,3,6,7},{2},{4,5}} => [3,2,6,5,4,7,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2

{{1,3,6},{2,7},{4,5}} => [3,7,6,5,4,1,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => 4

{{1,3,6},{2},{4,5,7}} => [3,2,6,5,7,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2

{{1,3,6},{2},{4,5},{7}} => [3,2,6,5,4,1,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2

{{1,3,7},{2,6},{4,5}} => [3,6,7,5,4,2,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2

{{1,3},{2,6,7},{4,5}} => [3,6,1,5,4,7,2] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 2

{{1,3},{2,6},{4,5,7}} => [3,6,1,5,7,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 2

{{1,3},{2,6},{4,5},{7}} => [3,6,1,5,4,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 2

{{1,3,7},{2},{4,5,6}} => [3,2,7,5,6,4,1] => [[[.,.],.],[[[.,.],[.,.]],.]] => 2

{{1,3},{2,7},{4,5,6}} => [3,7,1,5,6,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => 2

{{1,3},{2},{4,5,6,7}} => [3,2,1,5,6,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3},{2},{4,5,6},{7}} => [3,2,1,5,6,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,7},{2},{4,5},{6}} => [3,2,7,5,4,6,1] => [[[.,.],.],[[[.,.],[.,.]],.]] => 2

{{1,3},{2,7},{4,5},{6}} => [3,7,1,5,4,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => 2

{{1,3},{2},{4,5,7},{6}} => [3,2,1,5,7,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3},{2},{4,5},{6,7}} => [3,2,1,5,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => 2

{{1,3},{2},{4,5},{6},{7}} => [3,2,1,5,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => 2

{{1,3,6,7},{2},{4},{5}} => [3,2,6,4,5,7,1] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 2

{{1,3,6},{2,7},{4},{5}} => [3,7,6,4,5,1,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => 4

{{1,3,6},{2},{4,7},{5}} => [3,2,6,7,5,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2

{{1,3,6},{2},{4},{5,7}} => [3,2,6,4,7,1,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 2

{{1,3,6},{2},{4},{5},{7}} => [3,2,6,4,5,1,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 2

{{1,3,7},{2,6},{4},{5}} => [3,6,7,4,5,2,1] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 2

{{1,3},{2,6,7},{4},{5}} => [3,6,1,4,5,7,2] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2

{{1,3},{2,6},{4,7},{5}} => [3,6,1,7,5,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => 2

{{1,3},{2,6},{4},{5,7}} => [3,6,1,4,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2

{{1,3},{2,6},{4},{5},{7}} => [3,6,1,4,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => 2

{{1,3,7},{2},{4,6},{5}} => [3,2,7,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => 4

{{1,3},{2,7},{4,6},{5}} => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => 4

{{1,3},{2},{4,6,7},{5}} => [3,2,1,6,5,7,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2

{{1,3},{2},{4,6},{5,7}} => [3,2,1,6,7,4,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => 2

{{1,3},{2},{4,6},{5},{7}} => [3,2,1,6,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => 2

{{1,3,7},{2},{4},{5,6}} => [3,2,7,4,6,5,1] => [[[.,.],.],[[.,[[.,.],.]],.]] => 4

{{1,3},{2,7},{4},{5,6}} => [3,7,1,4,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => 4

{{1,3},{2},{4,7},{5,6}} => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => 4

{{1,3},{2},{4},{5,6,7}} => [3,2,1,4,6,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3},{2},{4},{5,6},{7}} => [3,2,1,4,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => 2

{{1,3,7},{2},{4},{5},{6}} => [3,2,7,4,5,6,1] => [[[.,.],.],[[.,[.,[.,.]]],.]] => 4

{{1,3},{2,7},{4},{5},{6}} => [3,7,1,4,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => 4

{{1,3},{2},{4,7},{5},{6}} => [3,2,1,7,5,6,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => 2

{{1,3},{2},{4},{5,7},{6}} => [3,2,1,4,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => 4

{{1,3},{2},{4},{5},{6,7}} => [3,2,1,4,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => 4

{{1,3},{2},{4},{5},{6},{7}} => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => 4

{{1,4,5,6,7},{2,3}} => [4,3,2,5,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4

{{1,4,5,6},{2,3,7}} => [4,3,7,5,6,1,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 4

{{1,4,5,6},{2,3},{7}} => [4,3,2,5,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4

{{1,4,5,7},{2,3,6}} => [4,3,6,5,7,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4,5},{2,3,6,7}} => [4,3,6,5,1,7,2] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4,5},{2,3,6},{7}} => [4,3,6,5,1,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4,5,7},{2,3},{6}} => [4,3,2,5,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => 4

{{1,4,5},{2,3,7},{6}} => [4,3,7,5,1,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 4

{{1,4,5},{2,3},{6,7}} => [4,3,2,5,1,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => 4

{{1,4,5},{2,3},{6},{7}} => [4,3,2,5,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4

{{1,4,6,7},{2,3,5}} => [4,3,5,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4

{{1,4,6},{2,3,5,7}} => [4,3,5,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4

{{1,4,6},{2,3,5},{7}} => [4,3,5,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4

{{1,4,7},{2,3,5,6}} => [4,3,5,7,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => 4

{{1,4},{2,3,5,6,7}} => [4,3,5,1,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4

{{1,4},{2,3,5,6},{7}} => [4,3,5,1,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4

{{1,4,7},{2,3,5},{6}} => [4,3,5,7,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => 4

{{1,4},{2,3,5,7},{6}} => [4,3,5,1,7,6,2] => [[[.,[.,.]],.],[.,[[.,.],.]]] => 4

{{1,4},{2,3,5},{6,7}} => [4,3,5,1,2,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => 4

{{1,4},{2,3,5},{6},{7}} => [4,3,5,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4

{{1,4,6,7},{2,3},{5}} => [4,3,2,6,5,7,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4,6},{2,3,7},{5}} => [4,3,7,6,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 4

{{1,4,6},{2,3},{5,7}} => [4,3,2,6,7,1,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4,6},{2,3},{5},{7}} => [4,3,2,6,5,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4,7},{2,3,6},{5}} => [4,3,6,7,5,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4},{2,3,6,7},{5}} => [4,3,6,1,5,7,2] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4},{2,3,6},{5,7}} => [4,3,6,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4},{2,3,6},{5},{7}} => [4,3,6,1,5,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4,7},{2,3},{5,6}} => [4,3,2,7,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => 4

{{1,4},{2,3,7},{5,6}} => [4,3,7,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 4

{{1,4},{2,3},{5,6,7}} => [4,3,2,1,6,7,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4},{2,3},{5,6},{7}} => [4,3,2,1,6,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4,7},{2,3},{5},{6}} => [4,3,2,7,5,6,1] => [[[[.,.],.],.],[[.,[.,.]],.]] => 4

{{1,4},{2,3,7},{5},{6}} => [4,3,7,1,5,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 4

{{1,4},{2,3},{5,7},{6}} => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => 4

{{1,4},{2,3},{5},{6,7}} => [4,3,2,1,5,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => 4

{{1,4},{2,3},{5},{6},{7}} => [4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4

{{1,5,6,7},{2,3,4}} => [5,3,4,2,6,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5,6},{2,3,4,7}} => [5,3,4,7,6,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2

{{1,5,6},{2,3,4},{7}} => [5,3,4,2,6,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5,7},{2,3,4,6}} => [5,3,4,6,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,3,4,6,7}} => [5,3,4,6,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,3,4,6},{7}} => [5,3,4,6,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2

{{1,5,7},{2,3,4},{6}} => [5,3,4,2,7,6,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2

{{1,5},{2,3,4,7},{6}} => [5,3,4,7,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2

{{1,5},{2,3,4},{6,7}} => [5,3,4,2,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2

{{1,5},{2,3,4},{6},{7}} => [5,3,4,2,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,6,7},{2,3,4,5}} => [6,3,4,5,2,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2

{{1,6},{2,3,4,5,7}} => [6,3,4,5,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 2

{{1,6},{2,3,4,5},{7}} => [6,3,4,5,2,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2

{{1,7},{2,3,4,5,6}} => [7,3,4,5,6,2,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

{{1},{2,3,4,5,6,7}} => [1,3,4,5,6,7,2] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 4

{{1},{2,3,4,5,6},{7}} => [1,3,4,5,6,2,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 4

{{1,7},{2,3,4,5},{6}} => [7,3,4,5,2,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

{{1},{2,3,4,5,7},{6}} => [1,3,4,5,7,6,2] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 4

{{1},{2,3,4,5},{6,7}} => [1,3,4,5,2,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 4

{{1},{2,3,4,5},{6},{7}} => [1,3,4,5,2,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 4

{{1,6,7},{2,3,4},{5}} => [6,3,4,2,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2

{{1,6},{2,3,4,7},{5}} => [6,3,4,7,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 2

{{1,6},{2,3,4},{5,7}} => [6,3,4,2,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2

{{1,6},{2,3,4},{5},{7}} => [6,3,4,2,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2

{{1,7},{2,3,4,6},{5}} => [7,3,4,6,5,2,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => 4

{{1},{2,3,4,6,7},{5}} => [1,3,4,6,5,7,2] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2

{{1},{2,3,4,6},{5,7}} => [1,3,4,6,7,2,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2

{{1},{2,3,4,6},{5},{7}} => [1,3,4,6,5,2,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2

{{1,7},{2,3,4},{5,6}} => [7,3,4,2,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => 4

{{1},{2,3,4,7},{5,6}} => [1,3,4,7,6,5,2] => [.,[[.,.],[.,[[[.,.],.],.]]]] => 4

{{1},{2,3,4},{5,6,7}} => [1,3,4,2,6,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2

{{1},{2,3,4},{5,6},{7}} => [1,3,4,2,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2

{{1,7},{2,3,4},{5},{6}} => [7,3,4,2,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

{{1},{2,3,4,7},{5},{6}} => [1,3,4,7,5,6,2] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => 4

{{1},{2,3,4},{5,7},{6}} => [1,3,4,2,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => 4

{{1},{2,3,4},{5},{6,7}} => [1,3,4,2,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 4

{{1},{2,3,4},{5},{6},{7}} => [1,3,4,2,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 4

{{1,5,6,7},{2,3},{4}} => [5,3,2,4,6,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5,6},{2,3,7},{4}} => [5,3,7,4,6,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2

{{1,5,6},{2,3},{4,7}} => [5,3,2,7,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2

{{1,5,6},{2,3},{4},{7}} => [5,3,2,4,6,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5,7},{2,3,6},{4}} => [5,3,6,4,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,3,6,7},{4}} => [5,3,6,4,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,3,6},{4,7}} => [5,3,6,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,3,6},{4},{7}} => [5,3,6,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2

{{1,5,7},{2,3},{4,6}} => [5,3,2,6,7,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,3,7},{4,6}} => [5,3,7,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2

{{1,5},{2,3},{4,6,7}} => [5,3,2,6,1,7,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,3},{4,6},{7}} => [5,3,2,6,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5,7},{2,3},{4},{6}} => [5,3,2,4,7,6,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2

{{1,5},{2,3,7},{4},{6}} => [5,3,7,4,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2

{{1,5},{2,3},{4,7},{6}} => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2

{{1,5},{2,3},{4},{6,7}} => [5,3,2,4,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => 2

{{1,5},{2,3},{4},{6},{7}} => [5,3,2,4,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,6,7},{2,3,5},{4}} => [6,3,5,4,2,7,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2

{{1,6},{2,3,5,7},{4}} => [6,3,5,4,7,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 2

{{1,6},{2,3,5},{4,7}} => [6,3,5,7,2,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2

{{1,6},{2,3,5},{4},{7}} => [6,3,5,4,2,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2

{{1,7},{2,3,5,6},{4}} => [7,3,5,4,6,2,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => 2

{{1},{2,3,5,6,7},{4}} => [1,3,5,4,6,7,2] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1},{2,3,5,6},{4,7}} => [1,3,5,7,6,2,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 2

{{1},{2,3,5,6},{4},{7}} => [1,3,5,4,6,2,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1,7},{2,3,5},{4,6}} => [7,3,5,6,2,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => 2

{{1},{2,3,5,7},{4,6}} => [1,3,5,6,7,4,2] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1},{2,3,5},{4,6,7}} => [1,3,5,6,2,7,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1},{2,3,5},{4,6},{7}} => [1,3,5,6,2,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1,7},{2,3,5},{4},{6}} => [7,3,5,4,2,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => 2

{{1},{2,3,5,7},{4},{6}} => [1,3,5,4,7,6,2] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 2

{{1},{2,3,5},{4,7},{6}} => [1,3,5,7,2,6,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 2

{{1},{2,3,5},{4},{6,7}} => [1,3,5,4,2,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 2

{{1},{2,3,5},{4},{6},{7}} => [1,3,5,4,2,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1,6,7},{2,3},{4,5}} => [6,3,2,5,4,7,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2

{{1,6},{2,3,7},{4,5}} => [6,3,7,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 2

{{1,6},{2,3},{4,5,7}} => [6,3,2,5,7,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2

{{1,6},{2,3},{4,5},{7}} => [6,3,2,5,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2

{{1,7},{2,3,6},{4,5}} => [7,3,6,5,4,2,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 4

{{1},{2,3,6,7},{4,5}} => [1,3,6,5,4,7,2] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 2

{{1},{2,3,6},{4,5,7}} => [1,3,6,5,7,2,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 2

{{1},{2,3,6},{4,5},{7}} => [1,3,6,5,4,2,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 2

{{1,7},{2,3},{4,5,6}} => [7,3,2,5,6,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => 2

{{1},{2,3,7},{4,5,6}} => [1,3,7,5,6,4,2] => [.,[[.,.],[[[.,.],[.,.]],.]]] => 2

{{1},{2,3},{4,5,6,7}} => [1,3,2,5,6,7,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1},{2,3},{4,5,6},{7}} => [1,3,2,5,6,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1,7},{2,3},{4,5},{6}} => [7,3,2,5,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => 2

{{1},{2,3,7},{4,5},{6}} => [1,3,7,5,4,6,2] => [.,[[.,.],[[[.,.],[.,.]],.]]] => 2

{{1},{2,3},{4,5,7},{6}} => [1,3,2,5,7,6,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 2

{{1},{2,3},{4,5},{6,7}} => [1,3,2,5,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => 2

{{1},{2,3},{4,5},{6},{7}} => [1,3,2,5,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => 2

{{1,6,7},{2,3},{4},{5}} => [6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2

{{1,6},{2,3,7},{4},{5}} => [6,3,7,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 2

{{1,6},{2,3},{4,7},{5}} => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => 2

{{1,6},{2,3},{4},{5,7}} => [6,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2

{{1,6},{2,3},{4},{5},{7}} => [6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => 2

{{1,7},{2,3,6},{4},{5}} => [7,3,6,4,5,2,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => 4

{{1},{2,3,6,7},{4},{5}} => [1,3,6,4,5,7,2] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => 2

{{1},{2,3,6},{4,7},{5}} => [1,3,6,7,5,2,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 2

{{1},{2,3,6},{4},{5,7}} => [1,3,6,4,7,2,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => 2

{{1},{2,3,6},{4},{5},{7}} => [1,3,6,4,5,2,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => 2

{{1,7},{2,3},{4,6},{5}} => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => 4

{{1},{2,3,7},{4,6},{5}} => [1,3,7,6,5,4,2] => [.,[[.,.],[[[[.,.],.],.],.]]] => 4

{{1},{2,3},{4,6,7},{5}} => [1,3,2,6,5,7,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 2

{{1},{2,3},{4,6},{5,7}} => [1,3,2,6,7,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => 2

{{1},{2,3},{4,6},{5},{7}} => [1,3,2,6,5,4,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => 2

{{1,7},{2,3},{4},{5,6}} => [7,3,2,4,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => 4

{{1},{2,3,7},{4},{5,6}} => [1,3,7,4,6,5,2] => [.,[[.,.],[[.,[[.,.],.]],.]]] => 4

{{1},{2,3},{4,7},{5,6}} => [1,3,2,7,6,5,4] => [.,[[.,.],[[[[.,.],.],.],.]]] => 4

{{1},{2,3},{4},{5,6,7}} => [1,3,2,4,6,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2

{{1},{2,3},{4},{5,6},{7}} => [1,3,2,4,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => 2

{{1,7},{2,3},{4},{5},{6}} => [7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => 4

{{1},{2,3,7},{4},{5},{6}} => [1,3,7,4,5,6,2] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => 4

{{1},{2,3},{4,7},{5},{6}} => [1,3,2,7,5,6,4] => [.,[[.,.],[[[.,.],[.,.]],.]]] => 2

{{1},{2,3},{4},{5,7},{6}} => [1,3,2,4,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => 4

{{1},{2,3},{4},{5},{6,7}} => [1,3,2,4,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => 4

{{1},{2,3},{4},{5},{6},{7}} => [1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => 4

{{1,4,5,6,7},{2},{3}} => [4,2,3,5,6,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4,5,6},{2,7},{3}} => [4,7,3,5,6,1,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 4

{{1,4,5,6},{2},{3,7}} => [4,2,7,5,6,1,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 2

{{1,4,5,6},{2},{3},{7}} => [4,2,3,5,6,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4,5,7},{2,6},{3}} => [4,6,3,5,7,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4,5},{2,6,7},{3}} => [4,6,3,5,1,7,2] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4,5},{2,6},{3,7}} => [4,6,7,5,1,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 2

{{1,4,5},{2,6},{3},{7}} => [4,6,3,5,1,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4,5,7},{2},{3,6}} => [4,2,6,5,7,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4,5},{2,7},{3,6}} => [4,7,6,5,1,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => 4

{{1,4,5},{2},{3,6,7}} => [4,2,6,5,1,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4,5},{2},{3,6},{7}} => [4,2,6,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4,5,7},{2},{3},{6}} => [4,2,3,5,7,6,1] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2

{{1,4,5},{2,7},{3},{6}} => [4,7,3,5,1,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 4

{{1,4,5},{2},{3,7},{6}} => [4,2,7,5,1,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 2

{{1,4,5},{2},{3},{6,7}} => [4,2,3,5,1,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2

{{1,4,5},{2},{3},{6},{7}} => [4,2,3,5,1,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4,6,7},{2,5},{3}} => [4,5,3,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4

{{1,4,6},{2,5,7},{3}} => [4,5,3,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4

{{1,4,6},{2,5},{3,7}} => [4,5,7,6,2,1,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2

{{1,4,6},{2,5},{3},{7}} => [4,5,3,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => 4

{{1,4,7},{2,5,6},{3}} => [4,5,3,7,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => 4

{{1,4},{2,5,6,7},{3}} => [4,5,3,1,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4

{{1,4},{2,5,6},{3,7}} => [4,5,7,1,6,2,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 4

{{1,4},{2,5,6},{3},{7}} => [4,5,3,1,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4

{{1,4,7},{2,5},{3,6}} => [4,5,6,7,2,3,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4},{2,5,7},{3,6}} => [4,5,6,1,7,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => 4

{{1,4},{2,5},{3,6,7}} => [4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 4

{{1,4},{2,5},{3,6},{7}} => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => 4

{{1,4,7},{2,5},{3},{6}} => [4,5,3,7,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => 4

{{1,4},{2,5,7},{3},{6}} => [4,5,3,1,7,6,2] => [[[.,[.,.]],.],[.,[[.,.],.]]] => 4

{{1,4},{2,5},{3,7},{6}} => [4,5,7,1,2,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => 4

{{1,4},{2,5},{3},{6,7}} => [4,5,3,1,2,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => 4

{{1,4},{2,5},{3},{6},{7}} => [4,5,3,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => 4

{{1,4,6,7},{2},{3,5}} => [4,2,5,6,3,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4,6},{2,7},{3,5}} => [4,7,5,6,3,1,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 4

{{1,4,6},{2},{3,5,7}} => [4,2,5,6,7,1,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4,6},{2},{3,5},{7}} => [4,2,5,6,3,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4,7},{2,6},{3,5}} => [4,6,5,7,3,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4},{2,6,7},{3,5}} => [4,6,5,1,3,7,2] => [[.,[[.,.],.]],[[.,.],[.,.]]] => 2

{{1,4},{2,6},{3,5,7}} => [4,6,5,1,7,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 2

{{1,4},{2,6},{3,5},{7}} => [4,6,5,1,3,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => 2

{{1,4,7},{2},{3,5,6}} => [4,2,5,7,6,3,1] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2

{{1,4},{2,7},{3,5,6}} => [4,7,5,1,6,3,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => 4

{{1,4},{2},{3,5,6,7}} => [4,2,5,1,6,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4},{2},{3,5,6},{7}} => [4,2,5,1,6,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4,7},{2},{3,5},{6}} => [4,2,5,7,3,6,1] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2

{{1,4},{2,7},{3,5},{6}} => [4,7,5,1,3,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => 4

{{1,4},{2},{3,5,7},{6}} => [4,2,5,1,7,6,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2

{{1,4},{2},{3,5},{6,7}} => [4,2,5,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2

{{1,4},{2},{3,5},{6},{7}} => [4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,4,6,7},{2},{3},{5}} => [4,2,3,6,5,7,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4,6},{2,7},{3},{5}} => [4,7,3,6,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 4

{{1,4,6},{2},{3,7},{5}} => [4,2,7,6,5,1,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2

{{1,4,6},{2},{3},{5,7}} => [4,2,3,6,7,1,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4,6},{2},{3},{5},{7}} => [4,2,3,6,5,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4,7},{2,6},{3},{5}} => [4,6,3,7,5,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => 2

{{1,4},{2,6,7},{3},{5}} => [4,6,3,1,5,7,2] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4},{2,6},{3,7},{5}} => [4,6,7,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => 2

{{1,4},{2,6},{3},{5,7}} => [4,6,3,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4},{2,6},{3},{5},{7}} => [4,6,3,1,5,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => 2

{{1,4,7},{2},{3,6},{5}} => [4,2,6,7,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4},{2,7},{3,6},{5}} => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => 4

{{1,4},{2},{3,6,7},{5}} => [4,2,6,1,5,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4},{2},{3,6},{5,7}} => [4,2,6,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4},{2},{3,6},{5},{7}} => [4,2,6,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4,7},{2},{3},{5,6}} => [4,2,3,7,6,5,1] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2

{{1,4},{2,7},{3},{5,6}} => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => 4

{{1,4},{2},{3,7},{5,6}} => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2

{{1,4},{2},{3},{5,6,7}} => [4,2,3,1,6,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4},{2},{3},{5,6},{7}} => [4,2,3,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => 0

{{1,4,7},{2},{3},{5},{6}} => [4,2,3,7,5,6,1] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 2

{{1,4},{2,7},{3},{5},{6}} => [4,7,3,1,5,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => 4

{{1,4},{2},{3,7},{5},{6}} => [4,2,7,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => 2

{{1,4},{2},{3},{5,7},{6}} => [4,2,3,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => 2

{{1,4},{2},{3},{5},{6,7}} => [4,2,3,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => 2

{{1,4},{2},{3},{5},{6},{7}} => [4,2,3,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => 2

{{1,5,6,7},{2,4},{3}} => [5,4,3,2,6,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 4

{{1,5,6},{2,4,7},{3}} => [5,4,3,7,6,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 4

{{1,5,6},{2,4},{3,7}} => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2

{{1,5,6},{2,4},{3},{7}} => [5,4,3,2,6,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => 4

{{1,5,7},{2,4,6},{3}} => [5,4,3,6,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 4

{{1,5},{2,4,6,7},{3}} => [5,4,3,6,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 4

{{1,5},{2,4,6},{3,7}} => [5,4,7,6,1,2,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => 4

{{1,5},{2,4,6},{3},{7}} => [5,4,3,6,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 4

{{1,5,7},{2,4},{3,6}} => [5,4,6,2,7,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2

{{1,5},{2,4,7},{3,6}} => [5,4,6,7,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => 4

{{1,5},{2,4},{3,6,7}} => [5,4,6,2,1,7,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2

{{1,5},{2,4},{3,6},{7}} => [5,4,6,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => 2

{{1,5,7},{2,4},{3},{6}} => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => 4

{{1,5},{2,4,7},{3},{6}} => [5,4,3,7,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 4

{{1,5},{2,4},{3,7},{6}} => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => 2

{{1,5},{2,4},{3},{6,7}} => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => 4

{{1,5},{2,4},{3},{6},{7}} => [5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => 4

{{1,6,7},{2,4,5},{3}} => [6,4,3,5,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2

{{1,6},{2,4,5,7},{3}} => [6,4,3,5,7,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2

{{1,6},{2,4,5},{3,7}} => [6,4,7,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0

{{1,6},{2,4,5},{3},{7}} => [6,4,3,5,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2

{{1,7},{2,4,5,6},{3}} => [7,4,3,5,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 4

{{1},{2,4,5,6,7},{3}} => [1,4,3,5,6,7,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 4

{{1},{2,4,5,6},{3,7}} => [1,4,7,5,6,2,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => 4

{{1},{2,4,5,6},{3},{7}} => [1,4,3,5,6,2,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 4

{{1,7},{2,4,5},{3,6}} => [7,4,6,5,2,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => 2

{{1},{2,4,5,7},{3,6}} => [1,4,6,5,7,3,2] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 2

{{1},{2,4,5},{3,6,7}} => [1,4,6,5,2,7,3] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 2

{{1},{2,4,5},{3,6},{7}} => [1,4,6,5,2,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 2

{{1,7},{2,4,5},{3},{6}} => [7,4,3,5,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 4

{{1},{2,4,5,7},{3},{6}} => [1,4,3,5,7,6,2] => [.,[[[.,.],.],[.,[[.,.],.]]]] => 4

{{1},{2,4,5},{3,7},{6}} => [1,4,7,5,2,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => 4

{{1},{2,4,5},{3},{6,7}} => [1,4,3,5,2,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => 4

{{1},{2,4,5},{3},{6},{7}} => [1,4,3,5,2,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 4

{{1,6,7},{2,4},{3,5}} => [6,4,5,2,3,7,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0

{{1,6},{2,4,7},{3,5}} => [6,4,5,7,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2

{{1,6},{2,4},{3,5,7}} => [6,4,5,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0

{{1,6},{2,4},{3,5},{7}} => [6,4,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0

{{1,7},{2,4,6},{3,5}} => [7,4,5,6,3,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 4

{{1},{2,4,6,7},{3,5}} => [1,4,5,6,3,7,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 4

{{1},{2,4,6},{3,5,7}} => [1,4,5,6,7,2,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 4

{{1},{2,4,6},{3,5},{7}} => [1,4,5,6,3,2,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 4

{{1,7},{2,4},{3,5,6}} => [7,4,5,2,6,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 2

{{1},{2,4,7},{3,5,6}} => [1,4,5,7,6,3,2] => [.,[[[.,.],.],[.,[[.,.],.]]]] => 4

{{1},{2,4},{3,5,6,7}} => [1,4,5,2,6,7,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 4

{{1},{2,4},{3,5,6},{7}} => [1,4,5,2,6,3,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 4

{{1,7},{2,4},{3,5},{6}} => [7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => 2

{{1},{2,4,7},{3,5},{6}} => [1,4,5,7,3,6,2] => [.,[[[.,.],.],[.,[[.,.],.]]]] => 4

{{1},{2,4},{3,5,7},{6}} => [1,4,5,2,7,6,3] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 4

{{1},{2,4},{3,5},{6,7}} => [1,4,5,2,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => 4

{{1},{2,4},{3,5},{6},{7}} => [1,4,5,2,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => 4

{{1,6,7},{2,4},{3},{5}} => [6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2

{{1,6},{2,4,7},{3},{5}} => [6,4,3,7,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2

{{1,6},{2,4},{3,7},{5}} => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => 0

{{1,6},{2,4},{3},{5,7}} => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2

{{1,6},{2,4},{3},{5},{7}} => [6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => 2

{{1,7},{2,4,6},{3},{5}} => [7,4,3,6,5,2,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 4

{{1},{2,4,6,7},{3},{5}} => [1,4,3,6,5,7,2] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 2

{{1},{2,4,6},{3,7},{5}} => [1,4,7,6,5,2,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => 4

{{1},{2,4,6},{3},{5,7}} => [1,4,3,6,7,2,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 2

{{1},{2,4,6},{3},{5},{7}} => [1,4,3,6,5,2,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 2

{{1,7},{2,4},{3,6},{5}} => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => 2

{{1},{2,4,7},{3,6},{5}} => [1,4,6,7,5,3,2] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 2

{{1},{2,4},{3,6,7},{5}} => [1,4,6,2,5,7,3] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 2

{{1},{2,4},{3,6},{5,7}} => [1,4,6,2,7,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 2

{{1},{2,4},{3,6},{5},{7}} => [1,4,6,2,5,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => 2

{{1,7},{2,4},{3},{5,6}} => [7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => 4

{{1},{2,4,7},{3},{5,6}} => [1,4,3,7,6,5,2] => [.,[[[.,.],.],[[[.,.],.],.]]] => 4

{{1},{2,4},{3,7},{5,6}} => [1,4,7,2,6,5,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => 4

{{1},{2,4},{3},{5,6,7}} => [1,4,3,2,6,7,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 2

{{1},{2,4},{3},{5,6},{7}} => [1,4,3,2,6,5,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => 2

{{1,7},{2,4},{3},{5},{6}} => [7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => 4

{{1},{2,4,7},{3},{5},{6}} => [1,4,3,7,5,6,2] => [.,[[[.,.],.],[[.,[.,.]],.]]] => 4

{{1},{2,4},{3,7},{5},{6}} => [1,4,7,2,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => 4

{{1},{2,4},{3},{5,7},{6}} => [1,4,3,2,7,6,5] => [.,[[[.,.],.],[[[.,.],.],.]]] => 4

{{1},{2,4},{3},{5},{6,7}} => [1,4,3,2,5,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => 4

{{1},{2,4},{3},{5},{6},{7}} => [1,4,3,2,5,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => 4

{{1,5,6,7},{2},{3,4}} => [5,2,4,3,6,7,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,5,6},{2,7},{3,4}} => [5,7,4,3,6,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 4

{{1,5,6},{2},{3,4,7}} => [5,2,4,7,6,1,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2

{{1,5,6},{2},{3,4},{7}} => [5,2,4,3,6,1,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,5,7},{2,6},{3,4}} => [5,6,4,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => 4

{{1,5},{2,6,7},{3,4}} => [5,6,4,3,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 4

{{1,5},{2,6},{3,4,7}} => [5,6,4,7,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 4

{{1,5},{2,6},{3,4},{7}} => [5,6,4,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => 4

{{1,5,7},{2},{3,4,6}} => [5,2,4,6,7,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,5},{2,7},{3,4,6}} => [5,7,4,6,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => 4

{{1,5},{2},{3,4,6,7}} => [5,2,4,6,1,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,5},{2},{3,4,6},{7}} => [5,2,4,6,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,5,7},{2},{3,4},{6}} => [5,2,4,3,7,6,1] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2

{{1,5},{2,7},{3,4},{6}} => [5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => 4

{{1,5},{2},{3,4,7},{6}} => [5,2,4,7,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2

{{1,5},{2},{3,4},{6,7}} => [5,2,4,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2

{{1,5},{2},{3,4},{6},{7}} => [5,2,4,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,6,7},{2,5},{3,4}} => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => 4

{{1,6},{2,5,7},{3,4}} => [6,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 4

{{1,6},{2,5},{3,4,7}} => [6,5,4,7,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => 2

{{1,6},{2,5},{3,4},{7}} => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => 4

{{1,7},{2,5,6},{3,4}} => [7,5,4,3,6,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 4

{{1},{2,5,6,7},{3,4}} => [1,5,4,3,6,7,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 4

{{1},{2,5,6},{3,4,7}} => [1,5,4,7,6,2,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => 4

{{1},{2,5,6},{3,4},{7}} => [1,5,4,3,6,2,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 4

{{1,7},{2,5},{3,4,6}} => [7,5,4,6,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2

{{1},{2,5,7},{3,4,6}} => [1,5,4,6,7,3,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 4

{{1},{2,5},{3,4,6,7}} => [1,5,4,6,2,7,3] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 4

{{1},{2,5},{3,4,6},{7}} => [1,5,4,6,2,3,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 4

{{1,7},{2,5},{3,4},{6}} => [7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => 4

{{1},{2,5,7},{3,4},{6}} => [1,5,4,3,7,6,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => 4

{{1},{2,5},{3,4,7},{6}} => [1,5,4,7,2,6,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => 4

{{1},{2,5},{3,4},{6,7}} => [1,5,4,3,2,7,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => 4

{{1},{2,5},{3,4},{6},{7}} => [1,5,4,3,2,6,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 4

{{1,6,7},{2},{3,4,5}} => [6,2,4,5,3,7,1] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0

{{1,6},{2,7},{3,4,5}} => [6,7,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2

{{1,6},{2},{3,4,5,7}} => [6,2,4,5,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0

{{1,6},{2},{3,4,5},{7}} => [6,2,4,5,3,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0

{{1,7},{2,6},{3,4,5}} => [7,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 4

{{1},{2,6,7},{3,4,5}} => [1,6,4,5,3,7,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 2

{{1},{2,6},{3,4,5,7}} => [1,6,4,5,7,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 2

{{1},{2,6},{3,4,5},{7}} => [1,6,4,5,3,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 2

{{1,7},{2},{3,4,5,6}} => [7,2,4,5,6,3,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => 2

{{1},{2,7},{3,4,5,6}} => [1,7,4,5,6,3,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 4

{{1},{2},{3,4,5,6,7}} => [1,2,4,5,6,7,3] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 4

{{1},{2},{3,4,5,6},{7}} => [1,2,4,5,6,3,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 4

{{1,7},{2},{3,4,5},{6}} => [7,2,4,5,3,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => 2

{{1},{2,7},{3,4,5},{6}} => [1,7,4,5,3,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 4

{{1},{2},{3,4,5,7},{6}} => [1,2,4,5,7,6,3] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 4

{{1},{2},{3,4,5},{6,7}} => [1,2,4,5,3,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 4

{{1},{2},{3,4,5},{6},{7}} => [1,2,4,5,3,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 4

{{1,6,7},{2},{3,4},{5}} => [6,2,4,3,5,7,1] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0

{{1,6},{2,7},{3,4},{5}} => [6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => 2

{{1,6},{2},{3,4,7},{5}} => [6,2,4,7,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0

{{1,6},{2},{3,4},{5,7}} => [6,2,4,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0

{{1,6},{2},{3,4},{5},{7}} => [6,2,4,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0

{{1,7},{2,6},{3,4},{5}} => [7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => 4

{{1},{2,6,7},{3,4},{5}} => [1,6,4,3,5,7,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 2

{{1},{2,6},{3,4,7},{5}} => [1,6,4,7,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 2

{{1},{2,6},{3,4},{5,7}} => [1,6,4,3,7,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 2

{{1},{2,6},{3,4},{5},{7}} => [1,6,4,3,5,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => 2

{{1,7},{2},{3,4,6},{5}} => [7,2,4,6,5,3,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => 2

{{1},{2,7},{3,4,6},{5}} => [1,7,4,6,5,3,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => 4

{{1},{2},{3,4,6,7},{5}} => [1,2,4,6,5,7,3] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2

{{1},{2},{3,4,6},{5,7}} => [1,2,4,6,7,3,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2

{{1},{2},{3,4,6},{5},{7}} => [1,2,4,6,5,3,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2

{{1,7},{2},{3,4},{5,6}} => [7,2,4,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => 2

{{1},{2,7},{3,4},{5,6}} => [1,7,4,3,6,5,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => 4

{{1},{2},{3,4,7},{5,6}} => [1,2,4,7,6,5,3] => [.,[.,[[.,.],[[[.,.],.],.]]]] => 4

{{1},{2},{3,4},{5,6,7}} => [1,2,4,3,6,7,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2

{{1},{2},{3,4},{5,6},{7}} => [1,2,4,3,6,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => 2

{{1,7},{2},{3,4},{5},{6}} => [7,2,4,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => 2

{{1},{2,7},{3,4},{5},{6}} => [1,7,4,3,5,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => 4

{{1},{2},{3,4,7},{5},{6}} => [1,2,4,7,5,6,3] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => 4

{{1},{2},{3,4},{5,7},{6}} => [1,2,4,3,7,6,5] => [.,[.,[[.,.],[[[.,.],.],.]]]] => 4

{{1},{2},{3,4},{5},{6,7}} => [1,2,4,3,5,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => 4

{{1},{2},{3,4},{5},{6},{7}} => [1,2,4,3,5,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => 4

{{1,5,6,7},{2},{3},{4}} => [5,2,3,4,6,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2

{{1,5,6},{2,7},{3},{4}} => [5,7,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2

{{1,5,6},{2},{3,7},{4}} => [5,2,7,4,6,1,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2

{{1,5,6},{2},{3},{4,7}} => [5,2,3,7,6,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 2

{{1,5,6},{2},{3},{4},{7}} => [5,2,3,4,6,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2

{{1,5,7},{2,6},{3},{4}} => [5,6,3,4,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,6,7},{3},{4}} => [5,6,3,4,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,6},{3,7},{4}} => [5,6,7,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => 4

{{1,5},{2,6},{3},{4,7}} => [5,6,3,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2

{{1,5},{2,6},{3},{4},{7}} => [5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => 2

{{1,5,7},{2},{3,6},{4}} => [5,2,6,4,7,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,5},{2,7},{3,6},{4}} => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => 4

{{1,5},{2},{3,6,7},{4}} => [5,2,6,4,1,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,5},{2},{3,6},{4,7}} => [5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2

{{1,5},{2},{3,6},{4},{7}} => [5,2,6,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => 2

{{1,5,7},{2},{3},{4,6}} => [5,2,3,6,7,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2

{{1,5},{2,7},{3},{4,6}} => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2

{{1,5},{2},{3,7},{4,6}} => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2

{{1,5},{2},{3},{4,6,7}} => [5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2

{{1,5},{2},{3},{4,6},{7}} => [5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2

{{1,5,7},{2},{3},{4},{6}} => [5,2,3,4,7,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 2

{{1,5},{2,7},{3},{4},{6}} => [5,7,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => 2

{{1,5},{2},{3,7},{4},{6}} => [5,2,7,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => 2

{{1,5},{2},{3},{4,7},{6}} => [5,2,3,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 2

{{1,5},{2},{3},{4},{6,7}} => [5,2,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => 2

{{1,5},{2},{3},{4},{6},{7}} => [5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => 2

{{1,6,7},{2,5},{3},{4}} => [6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2

{{1,6},{2,5,7},{3},{4}} => [6,5,3,4,7,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => 2

{{1,6},{2,5},{3,7},{4}} => [6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => 2

{{1,6},{2,5},{3},{4,7}} => [6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2

{{1,6},{2,5},{3},{4},{7}} => [6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => 2

{{1,7},{2,5,6},{3},{4}} => [7,5,3,4,6,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2

{{1},{2,5,6,7},{3},{4}} => [1,5,3,4,6,7,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 2

{{1},{2,5,6},{3,7},{4}} => [1,5,7,4,6,2,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => 4

{{1},{2,5,6},{3},{4,7}} => [1,5,3,7,6,2,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 2

{{1},{2,5,6},{3},{4},{7}} => [1,5,3,4,6,2,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 2

{{1,7},{2,5},{3,6},{4}} => [7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => 2

{{1},{2,5,7},{3,6},{4}} => [1,5,6,4,7,3,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => 4

{{1},{2,5},{3,6,7},{4}} => [1,5,6,4,2,7,3] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 4

{{1},{2,5},{3,6},{4,7}} => [1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => 4

{{1},{2,5},{3,6},{4},{7}} => [1,5,6,4,2,3,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => 4

{{1,7},{2,5},{3},{4,6}} => [7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2

{{1},{2,5,7},{3},{4,6}} => [1,5,3,6,7,4,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 2

{{1},{2,5},{3,7},{4,6}} => [1,5,7,6,2,4,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => 4

{{1},{2,5},{3},{4,6,7}} => [1,5,3,6,2,7,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 2

{{1},{2,5},{3},{4,6},{7}} => [1,5,3,6,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 2

{{1,7},{2,5},{3},{4},{6}} => [7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => 2

{{1},{2,5,7},{3},{4},{6}} => [1,5,3,4,7,6,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 2

{{1},{2,5},{3,7},{4},{6}} => [1,5,7,4,2,6,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => 4

{{1},{2,5},{3},{4,7},{6}} => [1,5,3,7,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 2

{{1},{2,5},{3},{4},{6,7}} => [1,5,3,4,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => 2

{{1},{2,5},{3},{4},{6},{7}} => [1,5,3,4,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => 2

{{1,6,7},{2},{3,5},{4}} => [6,2,5,4,3,7,1] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2

{{1,6},{2,7},{3,5},{4}} => [6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => 4

{{1,6},{2},{3,5,7},{4}} => [6,2,5,4,7,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2

{{1,6},{2},{3,5},{4,7}} => [6,2,5,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => 2

{{1,6},{2},{3,5},{4},{7}} => [6,2,5,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2

{{1,7},{2,6},{3,5},{4}} => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => 6

{{1},{2,6,7},{3,5},{4}} => [1,6,5,4,3,7,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => 4

{{1},{2,6},{3,5,7},{4}} => [1,6,5,4,7,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => 4

{{1},{2,6},{3,5},{4,7}} => [1,6,5,7,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => 2

{{1},{2,6},{3,5},{4},{7}} => [1,6,5,4,3,2,7] => [.,[[[[[.,.],.],.],.],[.,.]]] => 4

{{1,7},{2},{3,5,6},{4}} => [7,2,5,4,6,3,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => 2

{{1},{2,7},{3,5,6},{4}} => [1,7,5,4,6,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => 4

{{1},{2},{3,5,6,7},{4}} => [1,2,5,4,6,7,3] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 4

{{1},{2},{3,5,6},{4,7}} => [1,2,5,7,6,3,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => 4

{{1},{2},{3,5,6},{4},{7}} => [1,2,5,4,6,3,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 4

{{1,7},{2},{3,5},{4,6}} => [7,2,5,6,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => 2

{{1},{2,7},{3,5},{4,6}} => [1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => 2

{{1},{2},{3,5,7},{4,6}} => [1,2,5,6,7,4,3] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 4

{{1},{2},{3,5},{4,6,7}} => [1,2,5,6,3,7,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 4

{{1},{2},{3,5},{4,6},{7}} => [1,2,5,6,3,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => 4

{{1,7},{2},{3,5},{4},{6}} => [7,2,5,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => 2

{{1},{2,7},{3,5},{4},{6}} => [1,7,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => 4

{{1},{2},{3,5,7},{4},{6}} => [1,2,5,4,7,6,3] => [.,[.,[[[.,.],.],[[.,.],.]]]] => 4

{{1},{2},{3,5},{4,7},{6}} => [1,2,5,7,3,6,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => 4

{{1},{2},{3,5},{4},{6,7}} => [1,2,5,4,3,7,6] => [.,[.,[[[.,.],.],[[.,.],.]]]] => 4

{{1},{2},{3,5},{4},{6},{7}} => [1,2,5,4,3,6,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => 4

{{1,6,7},{2},{3},{4,5}} => [6,2,3,5,4,7,1] => [[[.,.],[.,[[.,.],.]]],[.,.]] => 2

{{1,6},{2,7},{3},{4,5}} => [6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => 2

{{1,6},{2},{3,7},{4,5}} => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => 2

{{1,6},{2},{3},{4,5,7}} => [6,2,3,5,7,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => 2

{{1,6},{2},{3},{4,5},{7}} => [6,2,3,5,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => 2

{{1,7},{2,6},{3},{4,5}} => [7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => 4

{{1},{2,6,7},{3},{4,5}} => [1,6,3,5,4,7,2] => [.,[[[.,.],[[.,.],.]],[.,.]]] => 2

{{1},{2,6},{3,7},{4,5}} => [1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => 4

{{1},{2,6},{3},{4,5,7}} => [1,6,3,5,7,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => 2

{{1},{2,6},{3},{4,5},{7}} => [1,6,3,5,4,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => 2

{{1,7},{2},{3,6},{4,5}} => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => 4

{{1},{2,7},{3,6},{4,5}} => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => 6

{{1},{2},{3,6,7},{4,5}} => [1,2,6,5,4,7,3] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 4

{{1},{2},{3,6},{4,5,7}} => [1,2,6,5,7,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => 4

{{1},{2},{3,6},{4,5},{7}} => [1,2,6,5,4,3,7] => [.,[.,[[[[.,.],.],.],[.,.]]]] => 4

{{1,7},{2},{3},{4,5,6}} => [7,2,3,5,6,4,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => 2

{{1},{2,7},{3},{4,5,6}} => [1,7,3,5,6,4,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => 2

{{1},{2},{3,7},{4,5,6}} => [1,2,7,5,6,4,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 4

{{1},{2},{3},{4,5,6,7}} => [1,2,3,5,6,7,4] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 4

{{1},{2},{3},{4,5,6},{7}} => [1,2,3,5,6,4,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 4

{{1,7},{2},{3},{4,5},{6}} => [7,2,3,5,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => 2

{{1},{2,7},{3},{4,5},{6}} => [1,7,3,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => 2

{{1},{2},{3,7},{4,5},{6}} => [1,2,7,5,4,6,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => 4

{{1},{2},{3},{4,5,7},{6}} => [1,2,3,5,7,6,4] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => 4

{{1},{2},{3},{4,5},{6,7}} => [1,2,3,5,4,7,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => 4

{{1},{2},{3},{4,5},{6},{7}} => [1,2,3,5,4,6,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => 4

{{1,6,7},{2},{3},{4},{5}} => [6,2,3,4,5,7,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 2

{{1,6},{2,7},{3},{4},{5}} => [6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => 2

{{1,6},{2},{3,7},{4},{5}} => [6,2,7,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => 0

{{1,6},{2},{3},{4,7},{5}} => [6,2,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => 2

{{1,6},{2},{3},{4},{5,7}} => [6,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 2

{{1,6},{2},{3},{4},{5},{7}} => [6,2,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => 2

{{1,7},{2,6},{3},{4},{5}} => [7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => 4

{{1},{2,6,7},{3},{4},{5}} => [1,6,3,4,5,7,2] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 2

{{1},{2,6},{3,7},{4},{5}} => [1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => 2

{{1},{2,6},{3},{4,7},{5}} => [1,6,3,7,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => 2

{{1},{2,6},{3},{4},{5,7}} => [1,6,3,4,7,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 2

{{1},{2,6},{3},{4},{5},{7}} => [1,6,3,4,5,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => 2

{{1,7},{2},{3,6},{4},{5}} => [7,2,6,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => 2

{{1},{2,7},{3,6},{4},{5}} => [1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => 4

{{1},{2},{3,6,7},{4},{5}} => [1,2,6,4,5,7,3] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 2

{{1},{2},{3,6},{4,7},{5}} => [1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => 4

{{1},{2},{3,6},{4},{5,7}} => [1,2,6,4,7,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 2

{{1},{2},{3,6},{4},{5},{7}} => [1,2,6,4,5,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => 2

{{1,7},{2},{3},{4,6},{5}} => [7,2,3,6,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => 4

{{1},{2,7},{3},{4,6},{5}} => [1,7,3,6,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => 4

{{1},{2},{3,7},{4,6},{5}} => [1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]] => 6

{{1},{2},{3},{4,6,7},{5}} => [1,2,3,6,5,7,4] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => 4

{{1},{2},{3},{4,6},{5,7}} => [1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => 4

{{1},{2},{3},{4,6},{5},{7}} => [1,2,3,6,5,4,7] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => 4

{{1,7},{2},{3},{4},{5,6}} => [7,2,3,4,6,5,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => 4

{{1},{2,7},{3},{4},{5,6}} => [1,7,3,4,6,5,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => 4

{{1},{2},{3,7},{4},{5,6}} => [1,2,7,4,6,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => 4

{{1},{2},{3},{4,7},{5,6}} => [1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]] => 6

{{1},{2},{3},{4},{5,6,7}} => [1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 4

{{1},{2},{3},{4},{5,6},{7}} => [1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => 4

{{1,7},{2},{3},{4},{5},{6}} => [7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => 4

{{1},{2,7},{3},{4},{5},{6}} => [1,7,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => 4

{{1},{2},{3,7},{4},{5},{6}} => [1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => 4

{{1},{2},{3},{4,7},{5},{6}} => [1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => 4

{{1},{2},{3},{4},{5,7},{6}} => [1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => 6

{{1},{2},{3},{4},{5},{6,7}} => [1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => 6

{{1},{2},{3},{4},{5},{6},{7}} => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => 6

{{1,2},{3,4},{5,6},{7,8}} => [2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,3},{2,4},{5,6},{7,8}} => [3,4,1,2,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 3

{{1,2},{3,5},{4,6},{7,8}} => [2,1,5,6,3,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3

{{1,2},{3,6},{4,5},{7,8}} => [2,1,6,5,4,3,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3

{{1,2},{3,7},{4,5},{6,8}} => [2,1,7,5,4,8,3,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 1

{{1,2},{3,8},{4,5},{6,7}} => [2,1,8,5,4,7,6,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 3

{{1,2},{3,8},{4,6},{5,7}} => [2,1,8,6,7,4,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 1

{{1,2},{3,7},{4,6},{5,8}} => [2,1,7,6,8,4,3,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 1

{{1,2},{3,6},{4,7},{5,8}} => [2,1,6,7,8,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 3

{{1,2},{3,5},{4,7},{6,8}} => [2,1,5,7,3,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 1

{{1,3},{2,4},{5,7},{6,8}} => [3,4,1,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 3

{{1,2},{3,4},{5,7},{6,8}} => [2,1,4,3,7,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,2},{3,4},{5,8},{6,7}} => [2,1,4,3,8,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 3

{{1,3},{2,4},{5,8},{6,7}} => [3,4,1,2,8,7,6,5] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 5

{{1,2},{3,5},{4,8},{6,7}} => [2,1,5,8,3,7,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 3

{{1,2},{3,6},{4,8},{5,7}} => [2,1,6,8,7,3,5,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 3

{{1,2},{3,7},{4,8},{5,6}} => [2,1,7,8,6,5,3,4] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 3

{{1,2},{3,8},{4,7},{5,6}} => [2,1,8,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => 5

{{1},{2},{3},{4},{5},{6},{7},{8}} => [1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => 7

{{1},{2},{3},{4},{5},{6},{7,8}} => [1,2,3,4,5,6,8,7] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => 7

{{1},{2},{3},{4},{5},{6,8},{7}} => [1,2,3,4,5,8,7,6] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => 7

{{1},{2},{3},{4},{5},{6,7,8}} => [1,2,3,4,5,7,8,6] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => 5

{{1},{2},{3},{4},{5,8},{6},{7}} => [1,2,3,4,8,6,7,5] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => 5

{{1},{2},{3},{4},{5,7,8},{6}} => [1,2,3,4,7,6,8,5] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => 5

{{1},{2},{3},{4},{5,8},{6,7}} => [1,2,3,4,8,7,6,5] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => 7

{{1},{2},{3},{4},{5,6,8},{7}} => [1,2,3,4,6,8,7,5] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => 5

{{1},{2},{3},{4},{5,6,7,8}} => [1,2,3,4,6,7,8,5] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => 5

{{1},{2},{3},{4,8},{5},{6},{7}} => [1,2,3,8,5,6,7,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => 5

{{1},{2},{3},{4,6,8},{5},{7}} => [1,2,3,6,5,8,7,4] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => 5

{{1},{2},{3},{4,6,7,8},{5}} => [1,2,3,6,5,7,8,4] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => 5

{{1},{2},{3},{4,7,8},{5,6}} => [1,2,3,7,6,5,8,4] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => 5

{{1},{2},{3},{4,5,8},{6},{7}} => [1,2,3,5,8,6,7,4] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => 5

{{1},{2},{3},{4,8},{5,6,7}} => [1,2,3,8,6,7,5,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => 5

{{1},{2},{3},{4,5,6,8},{7}} => [1,2,3,5,6,8,7,4] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => 5

{{1},{2},{3},{4,5,6,7,8}} => [1,2,3,5,6,7,8,4] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => 5

{{1},{2},{3,4},{5,6},{7},{8}} => [1,2,4,3,6,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => 3

{{1},{2},{3,4},{5,8},{6,7}} => [1,2,4,3,8,7,6,5] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => 5

{{1},{2},{3,4},{5,6,7,8}} => [1,2,4,3,6,7,8,5] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => 3

{{1},{2},{3,5},{4},{6,7,8}} => [1,2,5,4,3,7,8,6] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => 3

{{1},{2},{3,8},{4},{5},{6},{7}} => [1,2,8,4,5,6,7,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => 5

{{1},{2},{3,5,8},{4},{6},{7}} => [1,2,5,4,8,6,7,3] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => 5

{{1},{2},{3,5,7,8},{4},{6}} => [1,2,5,4,7,6,8,3] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => 3

{{1},{2},{3,8},{4},{5,6,7}} => [1,2,8,4,6,7,5,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => 3

{{1},{2},{3,5,8},{4},{6,7}} => [1,2,5,4,8,7,6,3] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => 5

{{1},{2},{3,5,6,7,8},{4}} => [1,2,5,4,6,7,8,3] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 5

{{1},{2},{3,4,5},{6,7,8}} => [1,2,4,5,3,7,8,6] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => 3

{{1},{2},{3,6,7,8},{4,5}} => [1,2,6,5,4,7,8,3] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => 5

{{1},{2},{3,7,8},{4,6},{5}} => [1,2,7,6,5,4,8,3] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => 5

{{1},{2},{3,4,8},{5},{6},{7}} => [1,2,4,8,5,6,7,3] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => 5

{{1},{2},{3,8},{4,6,7},{5}} => [1,2,8,6,5,7,4,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => 5

{{1},{2},{3,4,5,6},{7,8}} => [1,2,4,5,6,3,8,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => 5

{{1},{2},{3,8},{4,7},{5,6}} => [1,2,8,7,6,5,4,3] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => 7

{{1},{2},{3,4,7,8},{5,6}} => [1,2,4,7,6,5,8,3] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => 3

{{1},{2},{3,4,5,8},{6},{7}} => [1,2,4,5,8,6,7,3] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => 5

{{1},{2},{3,4,5,6,7},{8}} => [1,2,4,5,6,7,3,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => 5

{{1},{2},{3,8},{4,5,6,7}} => [1,2,8,5,6,7,4,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => 5

{{1},{2},{3,4,5,8},{6,7}} => [1,2,4,5,8,7,6,3] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => 5

{{1},{2},{3,4,5,6,8},{7}} => [1,2,4,5,6,8,7,3] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => 5

{{1},{2},{3,4,5,6,7,8}} => [1,2,4,5,6,7,8,3] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => 5

{{1},{2,3},{4},{5},{6,7},{8}} => [1,3,2,4,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 3

{{1},{2,3},{4},{5,8},{6,7}} => [1,3,2,4,8,7,6,5] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => 5

{{1},{2,3},{4},{5,6,7,8}} => [1,3,2,4,6,7,8,5] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 3

{{1},{2,3},{4,5},{6,7},{8}} => [1,3,2,5,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1},{2,3},{4,5},{6,8},{7}} => [1,3,2,5,4,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 3

{{1},{2,3},{4,5},{6,7,8}} => [1,3,2,5,4,7,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1},{2,3},{4,6,7},{5},{8}} => [1,3,2,6,5,7,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 3

{{1},{2,3},{4,6,8},{5},{7}} => [1,3,2,6,5,8,7,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 3

{{1},{2,3},{4,6,7,8},{5}} => [1,3,2,6,5,7,8,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 3

{{1},{2,3},{4,5,6},{7,8}} => [1,3,2,5,6,4,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 3

{{1},{2,3},{4,7},{5,6},{8}} => [1,3,2,7,6,5,4,8] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => 3

{{1},{2,3},{4,8},{5,6},{7}} => [1,3,2,8,6,5,7,4] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 3

{{1},{2,3},{4,7,8},{5,6}} => [1,3,2,7,6,5,8,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => 3

{{1},{2,3},{4,8},{5,7},{6}} => [1,3,2,8,7,6,5,4] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => 5

{{1},{2,3},{4,8},{5,6,7}} => [1,3,2,8,6,7,5,4] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 3

{{1},{2,3},{4,5,8},{6,7}} => [1,3,2,5,8,7,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 3

{{1},{2,3},{4,5,6,8},{7}} => [1,3,2,5,6,8,7,4] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 3

{{1},{2,3},{4,5,6,7,8}} => [1,3,2,5,6,7,8,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 3

{{1},{2,4},{3},{5},{6},{7,8}} => [1,4,3,2,5,6,8,7] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => 5

{{1},{2,4},{3},{5},{6,8},{7}} => [1,4,3,2,5,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 5

{{1},{2,4},{3},{5},{6,7,8}} => [1,4,3,2,5,7,8,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 3

{{1},{2,4},{3},{5,7},{6},{8}} => [1,4,3,2,7,6,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 3

{{1},{2,4},{3},{5,7,8},{6}} => [1,4,3,2,7,6,8,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 3

{{1},{2,4},{3},{5,8},{6,7}} => [1,4,3,2,8,7,6,5] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => 5

{{1},{2,4},{3},{5,6,7,8}} => [1,4,3,2,6,7,8,5] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,5},{3},{4},{6,8},{7}} => [1,5,3,4,2,8,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 3

{{1},{2,8},{3},{4},{5},{6},{7}} => [1,8,3,4,5,6,7,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => 5

{{1},{2,5,8},{3},{4},{6},{7}} => [1,5,3,4,8,6,7,2] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 3

{{1},{2,8},{3},{4},{5,6,7}} => [1,8,3,4,6,7,5,2] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => 3

{{1},{2,5,6,7,8},{3},{4}} => [1,5,3,4,6,7,8,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 3

{{1},{2,4,5},{3},{6,7},{8}} => [1,4,3,5,2,7,6,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 3

{{1},{2,6,8},{3},{4,5},{7}} => [1,6,3,5,4,8,7,2] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 3

{{1},{2,4,8},{3},{5},{6},{7}} => [1,4,3,8,5,6,7,2] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => 5

{{1},{2,4,6,7},{3},{5},{8}} => [1,4,3,6,5,7,2,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,4,8},{3},{5},{6,7}} => [1,4,3,8,5,7,6,2] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => 5

{{1},{2,4,6,8},{3},{5},{7}} => [1,4,3,6,5,8,7,2] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 3

{{1},{2,4,6,7,8},{3},{5}} => [1,4,3,6,5,7,8,2] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,8},{3},{4,7},{5,6}} => [1,8,3,7,6,5,4,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => 5

{{1},{2,4,8},{3},{5,6},{7}} => [1,4,3,8,6,5,7,2] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => 3

{{1},{2,4,8},{3},{5,7},{6}} => [1,4,3,8,7,6,5,2] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => 5

{{1},{2,4,8},{3},{5,6,7}} => [1,4,3,8,6,7,5,2] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => 3

{{1},{2,4,5,8},{3},{6,7}} => [1,4,3,5,8,7,6,2] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 5

{{1},{2,4,5,6,7,8},{3}} => [1,4,3,5,6,7,8,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 5

{{1},{2,3,4},{5},{6,7,8}} => [1,3,4,2,5,7,8,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 3

{{1},{2,3,4},{5,6},{7,8}} => [1,3,4,2,6,5,8,7] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => 3

{{1},{2,3,4},{5,6,7},{8}} => [1,3,4,2,6,7,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 3

{{1},{2,3,4},{5,8},{6,7}} => [1,3,4,2,8,7,6,5] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => 5

{{1},{2,3,4},{5,6,8},{7}} => [1,3,4,2,6,8,7,5] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => 3

{{1},{2,5},{3,4},{6,7},{8}} => [1,5,4,3,2,7,6,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 3

{{1},{2,5},{3,4},{6,8},{7}} => [1,5,4,3,2,8,7,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => 5

{{1},{2,5},{3,4},{6,7,8}} => [1,5,4,3,2,7,8,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 3

{{1},{2,6,8},{3,4},{5},{7}} => [1,6,4,3,5,8,7,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 3

{{1},{2,8},{3,4},{5,6},{7}} => [1,8,4,3,6,5,7,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 3

{{1},{2,7,8},{3,4},{5,6}} => [1,7,4,3,6,5,8,2] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 3

{{1},{2,8},{3,4},{5,6,7}} => [1,8,4,3,6,7,5,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 3

{{1},{2,5,8},{3,4},{6,7}} => [1,5,4,3,8,7,6,2] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => 5

{{1},{2,5,6,7,8},{3,4}} => [1,5,4,3,6,7,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 5

{{1},{2,3,5},{4},{6,7,8}} => [1,3,5,4,2,7,8,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1},{2,6},{3,5},{4},{7,8}} => [1,6,5,4,3,2,8,7] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => 5

{{1},{2,6,8},{3,5},{4},{7}} => [1,6,5,4,3,8,7,2] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => 5

{{1},{2,3,8},{4},{5},{6},{7}} => [1,3,8,4,5,6,7,2] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => 5

{{1},{2,3,7,8},{4},{5},{6}} => [1,3,7,4,5,6,8,2] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => 3

{{1},{2,3,6,7},{4},{5},{8}} => [1,3,6,4,5,7,2,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 3

{{1},{2,3,6,8},{4},{5},{7}} => [1,3,6,4,5,8,7,2] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 3

{{1},{2,3,6,7,8},{4},{5}} => [1,3,6,4,5,7,8,2] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 3

{{1},{2,8},{3,5,6},{4},{7}} => [1,8,5,4,6,3,7,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 5

{{1},{2,8},{3,7},{4},{5,6}} => [1,8,7,4,6,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => 5

{{1},{2,3,5,7},{4},{6},{8}} => [1,3,5,4,7,6,2,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1},{2,8},{3,5,7},{4},{6}} => [1,8,5,4,7,6,3,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => 5

{{1},{2,3,5,7,8},{4},{6}} => [1,3,5,4,7,6,8,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1},{2,8},{3,5,6,7},{4}} => [1,8,5,4,6,7,3,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 5

{{1},{2,3,8},{4},{5,6,7}} => [1,3,8,4,6,7,5,2] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => 3

{{1},{2,3,5,8},{4},{6,7}} => [1,3,5,4,8,7,6,2] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 3

{{1},{2,6,8},{3,4,5},{7}} => [1,6,4,5,3,8,7,2] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => 3

{{1},{2,3,6},{4,5},{7,8}} => [1,3,6,5,4,2,8,7] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 3

{{1},{2,7},{3,6},{4,5},{8}} => [1,7,6,5,4,3,2,8] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 5

{{1},{2,8},{3,6},{4,5},{7}} => [1,8,6,5,4,3,7,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 5

{{1},{2,7,8},{3,6},{4,5}} => [1,7,6,5,4,3,8,2] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => 5

{{1},{2,8},{3,7},{4,5},{6}} => [1,8,7,5,4,6,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 5

{{1},{2,3,8},{4,5},{6},{7}} => [1,3,8,5,4,6,7,2] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => 3

{{1},{2,3,6,7},{4,5},{8}} => [1,3,6,5,4,7,2,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 3

{{1},{2,8},{3,6,7},{4,5}} => [1,8,6,5,4,7,3,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => 5

{{1},{2,3,8},{4,5},{6,7}} => [1,3,8,5,4,7,6,2] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => 3

{{1},{2,3,6,8},{4,5},{7}} => [1,3,6,5,4,8,7,2] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 3

{{1},{2,8},{3,4,6},{5},{7}} => [1,8,4,6,5,3,7,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 3

{{1},{2,8},{3,7},{4,6},{5}} => [1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => 7

{{1},{2,3,4,8},{5},{6},{7}} => [1,3,4,8,5,6,7,2] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => 5

{{1},{2,8},{3,4,6,7},{5}} => [1,8,4,6,5,7,3,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 3

{{1},{2,3,8},{4,6,7},{5}} => [1,3,8,6,5,7,4,2] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => 3

{{1},{2,3,4,6,7,8},{5}} => [1,3,4,6,5,7,8,2] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 3

{{1},{2,8},{3,4,5,6},{7}} => [1,8,4,5,6,3,7,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 5

{{1},{2,8},{3,7},{4,5,6}} => [1,8,7,5,6,4,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => 5

{{1},{2,8},{3,4,7},{5,6}} => [1,8,4,7,6,5,3,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => 5

{{1},{2,3,8},{4,7},{5,6}} => [1,3,8,7,6,5,4,2] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => 5

{{1},{2,3,4,5,7},{6},{8}} => [1,3,4,5,7,6,2,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 3

{{1},{2,3,8},{4,5,7},{6}} => [1,3,8,5,7,6,4,2] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => 3

{{1},{2,3,4,8},{5,7},{6}} => [1,3,4,8,7,6,5,2] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => 5

{{1},{2,3,4,5,8},{6},{7}} => [1,3,4,5,8,6,7,2] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => 5

{{1},{2,3,4,5,7,8},{6}} => [1,3,4,5,7,6,8,2] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 3

{{1},{2,8},{3,4,5,6,7}} => [1,8,4,5,6,7,3,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => 5

{{1},{2,3,4,5,8},{6,7}} => [1,3,4,5,8,7,6,2] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => 5

{{1},{2,3,4,5,6,8},{7}} => [1,3,4,5,6,8,7,2] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => 5

{{1},{2,3,4,5,6,7,8}} => [1,3,4,5,6,7,8,2] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => 5

{{1,2},{3},{4},{5},{6},{7},{8}} => [2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 5

{{1,2},{3},{4},{5},{6},{7,8}} => [2,1,3,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 5

{{1,2},{3},{4},{5,6},{7},{8}} => [2,1,3,4,6,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2},{3},{4},{5,8},{6,7}} => [2,1,3,4,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 5

{{1,2},{3},{4},{5,6,7,8}} => [2,1,3,4,6,7,8,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2},{3},{4,5},{6},{7},{8}} => [2,1,3,5,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2},{3},{4,5},{6,7,8}} => [2,1,3,5,4,7,8,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 1

{{1,2},{3},{4,5,6},{7,8}} => [2,1,3,5,6,4,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 3

{{1,2},{3,4},{5},{6},{7},{8}} => [2,1,4,3,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2},{3,4},{5},{6,7,8}} => [2,1,4,3,5,7,8,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 1

{{1,2},{3,4},{5,6},{7},{8}} => [2,1,4,3,6,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2},{3,4},{5,7,8},{6}} => [2,1,4,3,7,6,8,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 1

{{1,2},{3,4},{5,6,8},{7}} => [2,1,4,3,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2},{3,4},{5,6,7,8}} => [2,1,4,3,6,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2},{3,5},{4},{6},{7},{8}} => [2,1,5,4,3,6,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2},{3,6,7,8},{4},{5}} => [2,1,6,4,5,7,8,3] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 1

{{1,2},{3,5,6},{4},{7,8}} => [2,1,5,4,6,3,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3

{{1,2},{3,7,8},{4},{5,6}} => [2,1,7,4,6,5,8,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 1

{{1,2},{3,5,7,8},{4},{6}} => [2,1,5,4,7,6,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2},{3,8},{4},{5,6,7}} => [2,1,8,4,6,7,5,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 1

{{1,2},{3,5,8},{4},{6,7}} => [2,1,5,4,8,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3

{{1,2},{3,5,6,8},{4},{7}} => [2,1,5,4,6,8,7,3] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3

{{1,2},{3,5,6,7,8},{4}} => [2,1,5,4,6,7,8,3] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2},{3,4,5},{6},{7},{8}} => [2,1,4,5,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2},{3,6,8},{4,5},{7}} => [2,1,6,5,4,8,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3

{{1,2},{3,4,6},{5},{7,8}} => [2,1,4,6,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2},{3,7,8},{4,6},{5}} => [2,1,7,6,5,4,8,3] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 3

{{1,2},{3,8},{4,6,7},{5}} => [2,1,8,6,5,7,4,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => 3

{{1,2},{3,4,8},{5},{6,7}} => [2,1,4,8,5,7,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 3

{{1,2},{3,4,6,8},{5},{7}} => [2,1,4,6,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2},{3,4,5,6},{7,8}} => [2,1,4,5,6,3,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3

{{1,2},{3,8},{4,5,6},{7}} => [2,1,8,5,6,4,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => 3

{{1,2},{3,4,8},{5,6},{7}} => [2,1,4,8,6,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 1

{{1,2},{3,8},{4,5,7},{6}} => [2,1,8,5,7,6,4,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 3

{{1,2},{3,4,8},{5,7},{6}} => [2,1,4,8,7,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 3

{{1,2},{3,4,5,8},{6},{7}} => [2,1,4,5,8,6,7,3] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => 3

{{1,2},{3,4,8},{5,6,7}} => [2,1,4,8,6,7,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 1

{{1,2},{3,4,5,8},{6,7}} => [2,1,4,5,8,7,6,3] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => 3

{{1,2},{3,4,5,6,8},{7}} => [2,1,4,5,6,8,7,3] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3

{{1,2},{3,4,5,6,7,8}} => [2,1,4,5,6,7,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2,3},{4},{5},{6},{7},{8}} => [2,3,1,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 5

{{1,2,3},{4},{5},{6,7,8}} => [2,3,1,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 3

{{1,2,3},{4},{5,6},{7,8}} => [2,3,1,4,6,5,8,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 3

{{1,2,3},{4},{5,8},{6,7}} => [2,3,1,4,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 5

{{1,2,3},{4,5},{6},{7},{8}} => [2,3,1,5,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,3},{4,5},{6,7},{8}} => [2,3,1,5,4,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 1

{{1,2,3},{4,6},{5},{7,8}} => [2,3,1,6,5,4,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 3

{{1,2,3},{4,6,7},{5},{8}} => [2,3,1,6,5,7,4,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 3

{{1,2,3},{4,6,8},{5},{7}} => [2,3,1,6,5,8,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 3

{{1,2,3},{4,5,6},{7},{8}} => [2,3,1,5,6,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,3},{4,8},{5,7},{6}} => [2,3,1,8,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => 5

{{1,2,3},{4,5,6,7},{8}} => [2,3,1,5,6,7,4,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,3},{4,8},{5,6,7}} => [2,3,1,8,6,7,5,4] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => 3

{{1,2,3},{4,5,6,7,8}} => [2,3,1,5,6,7,8,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,4},{3},{5,6},{7,8}} => [2,4,3,1,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,4},{3},{5,7,8},{6}} => [2,4,3,1,7,6,8,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 1

{{1,2,4},{3},{5,8},{6,7}} => [2,4,3,1,8,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 3

{{1,2,4},{3},{5,6,8},{7}} => [2,4,3,1,6,8,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,4},{3},{5,6,7,8}} => [2,4,3,1,6,7,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,8},{3},{4},{5},{6},{7}} => [2,8,3,4,5,6,7,1] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => 5

{{1,2,6,7,8},{3},{4},{5}} => [2,6,3,4,5,7,8,1] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 3

{{1,2,5,7,8},{3},{4},{6}} => [2,5,3,4,7,6,8,1] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 1

{{1,2,5,6,7},{3},{4},{8}} => [2,5,3,4,6,7,1,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 3

{{1,2,5,8},{3},{4},{6,7}} => [2,5,3,4,8,7,6,1] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 3

{{1,2,5,6,8},{3},{4},{7}} => [2,5,3,4,6,8,7,1] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3

{{1,2,5,6,7,8},{3},{4}} => [2,5,3,4,6,7,8,1] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 3

{{1,2,6},{3},{4,5},{7,8}} => [2,6,3,5,4,1,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 3

{{1,2,7,8},{3},{4,5},{6}} => [2,7,3,5,4,6,8,1] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 1

{{1,2,8},{3},{4,5},{6,7}} => [2,8,3,5,4,7,6,1] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 3

{{1,2,6,8},{3},{4,5},{7}} => [2,6,3,5,4,8,7,1] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 3

{{1,2,4,6},{3},{5},{7,8}} => [2,4,3,6,5,1,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,4,7,8},{3},{5},{6}} => [2,4,3,7,5,6,8,1] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,2,4,8},{3},{5},{6,7}} => [2,4,3,8,5,7,6,1] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 3

{{1,2,4,6,8},{3},{5},{7}} => [2,4,3,6,5,8,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,4,6,7,8},{3},{5}} => [2,4,3,6,5,7,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,4,5,6},{3},{7,8}} => [2,4,3,5,6,1,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3

{{1,2,8},{3},{4,7},{5,6}} => [2,8,3,7,6,5,4,1] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => 5

{{1,2,4,8},{3},{5,6},{7}} => [2,4,3,8,6,5,7,1] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 1

{{1,2,4,7,8},{3},{5,6}} => [2,4,3,7,6,5,8,1] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 1

{{1,2,8},{3},{4,5,7},{6}} => [2,8,3,5,7,6,4,1] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => 3

{{1,2,4,8},{3},{5,7},{6}} => [2,4,3,8,7,6,5,1] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 3

{{1,2,4,5,7,8},{3},{6}} => [2,4,3,5,7,6,8,1] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 1

{{1,2,4,5,6,7},{3},{8}} => [2,4,3,5,6,7,1,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2,4,5,6,8},{3},{7}} => [2,4,3,5,6,8,7,1] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3

{{1,2,4,5,6,7,8},{3}} => [2,4,3,5,6,7,8,1] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2,3,4},{5},{6},{7},{8}} => [2,3,4,1,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 5

{{1,2,3,4},{5},{6,7},{8}} => [2,3,4,1,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 3

{{1,2,3,4},{5,6},{7},{8}} => [2,3,4,1,6,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2,3,4},{5,6},{7,8}} => [2,3,4,1,6,5,8,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 3

{{1,2,3,4},{5,7,8},{6}} => [2,3,4,1,7,6,8,5] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 3

{{1,2,3,4},{5,6,7},{8}} => [2,3,4,1,6,7,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2,3,4},{5,8},{6,7}} => [2,3,4,1,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 5

{{1,2,3,4},{5,6,8},{7}} => [2,3,4,1,6,8,7,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 3

{{1,2,3,4},{5,6,7,8}} => [2,3,4,1,6,7,8,5] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2,5},{3,4},{6},{7,8}} => [2,5,4,3,1,6,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3

{{1,2,5},{3,4},{6,7},{8}} => [2,5,4,3,1,7,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2,5},{3,4},{6,8},{7}} => [2,5,4,3,1,8,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3

{{1,2,6},{3,4},{5},{7,8}} => [2,6,4,3,5,1,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 1

{{1,2,7,8},{3,4},{5},{6}} => [2,7,4,3,5,6,8,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 1

{{1,2,8},{3,4},{5},{6,7}} => [2,8,4,3,5,7,6,1] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => 3

{{1,2,6,8},{3,4},{5},{7}} => [2,6,4,3,5,8,7,1] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 1

{{1,2,8},{3,4},{5,6},{7}} => [2,8,4,3,6,5,7,1] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 1

{{1,2,7,8},{3,4},{5,6}} => [2,7,4,3,6,5,8,1] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 1

{{1,2,8},{3,4},{5,7},{6}} => [2,8,4,3,7,6,5,1] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => 3

{{1,2,5,8},{3,4},{6},{7}} => [2,5,4,3,8,6,7,1] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 3

{{1,2,5,6,7,8},{3,4}} => [2,5,4,3,6,7,8,1] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2,3,5},{4},{6},{7,8}} => [2,3,5,4,1,6,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 3

{{1,2,3,5},{4},{6,8},{7}} => [2,3,5,4,1,8,7,6] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => 3

{{1,2,6},{3,5},{4},{7,8}} => [2,6,5,4,3,1,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3

{{1,2,7,8},{3,5},{4},{6}} => [2,7,5,4,3,6,8,1] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 1

{{1,2,8},{3,5},{4},{6,7}} => [2,8,5,4,3,7,6,1] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 3

{{1,2,6,8},{3,5},{4},{7}} => [2,6,5,4,3,8,7,1] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3

{{1,2,6,7,8},{3,5},{4}} => [2,6,5,4,3,7,8,1] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 3

{{1,2,3,6},{4},{5},{7,8}} => [2,3,6,4,5,1,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 3

{{1,2,7,8},{3,6},{4},{5}} => [2,7,6,4,5,3,8,1] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 1

{{1,2,3,8},{4},{5},{6},{7}} => [2,3,8,4,5,6,7,1] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => 5

{{1,2,3,7,8},{4},{5},{6}} => [2,3,7,4,5,6,8,1] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => 3

{{1,2,3,6,8},{4},{5},{7}} => [2,3,6,4,5,8,7,1] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 3

{{1,2,3,6,7,8},{4},{5}} => [2,3,6,4,5,7,8,1] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 3

{{1,2,3,5,6},{4},{7},{8}} => [2,3,5,4,6,1,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,8},{3,7},{4},{5,6}} => [2,8,7,4,6,5,3,1] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => 3

{{1,2,8},{3,5,7},{4},{6}} => [2,8,5,4,7,6,3,1] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => 3

{{1,2,3,5,8},{4},{6},{7}} => [2,3,5,4,8,6,7,1] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 3

{{1,2,3,5,7,8},{4},{6}} => [2,3,5,4,7,6,8,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 1

{{1,2,3,5,6,7},{4},{8}} => [2,3,5,4,6,7,1,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,3,8},{4},{5,6,7}} => [2,3,8,4,6,7,5,1] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => 3

{{1,2,3,5,6,7,8},{4}} => [2,3,5,4,6,7,8,1] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,3,4,5},{6},{7},{8}} => [2,3,4,5,1,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 5

{{1,2,3,4,5},{6,7},{8}} => [2,3,4,5,1,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 3

{{1,2,3,4,5},{6,8},{7}} => [2,3,4,5,1,8,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 5

{{1,2,3,4,5},{6,7,8}} => [2,3,4,5,1,7,8,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 3

{{1,2,6},{3,4,5},{7},{8}} => [2,6,4,5,3,1,7,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 1

{{1,2,3,6},{4,5},{7},{8}} => [2,3,6,5,4,1,7,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 3

{{1,2,3,6},{4,5},{7,8}} => [2,3,6,5,4,1,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 3

{{1,2,7},{3,6},{4,5},{8}} => [2,7,6,5,4,3,1,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 3

{{1,2,3,7},{4,5},{6},{8}} => [2,3,7,5,4,6,1,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 1

{{1,2,8},{3,7},{4,5},{6}} => [2,8,7,5,4,6,3,1] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => 3

{{1,2,3,8},{4,5},{6},{7}} => [2,3,8,5,4,6,7,1] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 3

{{1,2,3,6,7,8},{4,5}} => [2,3,6,5,4,7,8,1] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 3

{{1,2,3,4,6},{5},{7},{8}} => [2,3,4,6,5,1,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2,7},{3,4,6},{5},{8}} => [2,7,4,6,5,3,1,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 1

{{1,2,8},{3,4,6},{5},{7}} => [2,8,4,6,5,3,7,1] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 1

{{1,2,3,7},{4,6},{5},{8}} => [2,3,7,6,5,4,1,8] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => 3

{{1,2,8},{3,7},{4,6},{5}} => [2,8,7,6,5,4,3,1] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => 5

{{1,2,3,8},{4,6},{5},{7}} => [2,3,8,6,5,4,7,1] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => 3

{{1,2,3,7,8},{4,6},{5}} => [2,3,7,6,5,4,8,1] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => 3

{{1,2,3,4,7},{5},{6},{8}} => [2,3,4,7,5,6,1,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 3

{{1,2,3,4,8},{5},{6},{7}} => [2,3,4,8,5,6,7,1] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => 5

{{1,2,3,4,7,8},{5},{6}} => [2,3,4,7,5,6,8,1] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 3

{{1,2,3,4,6,7},{5},{8}} => [2,3,4,6,5,7,1,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2,3,4,8},{5},{6,7}} => [2,3,4,8,5,7,6,1] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => 5

{{1,2,3,4,6,8},{5},{7}} => [2,3,4,6,5,8,7,1] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 3

{{1,2,3,4,6,7,8},{5}} => [2,3,4,6,5,7,8,1] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2,3,4,5,6},{7},{8}} => [2,3,4,5,6,1,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 5

{{1,2,3,4,5,6},{7,8}} => [2,3,4,5,6,1,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 5

{{1,2,7,8},{3,4,5,6}} => [2,7,4,5,6,3,8,1] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 1

{{1,2,8},{3,7},{4,5,6}} => [2,8,7,5,6,4,3,1] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => 3

{{1,2,3,8},{4,5,6},{7}} => [2,3,8,5,6,4,7,1] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 3

{{1,2,3,7,8},{4,5,6}} => [2,3,7,5,6,4,8,1] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 1

{{1,2,3,4,7},{5,6},{8}} => [2,3,4,7,6,5,1,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 3

{{1,2,8},{3,4,7},{5,6}} => [2,8,4,7,6,5,3,1] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => 3

{{1,2,3,8},{4,7},{5,6}} => [2,3,8,7,6,5,4,1] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => 5

{{1,2,3,4,8},{5,6},{7}} => [2,3,4,8,6,5,7,1] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => 3

{{1,2,3,4,7,8},{5,6}} => [2,3,4,7,6,5,8,1] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 3

{{1,2,3,4,5,7},{6},{8}} => [2,3,4,5,7,6,1,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 3

{{1,2,3,8},{4,5,7},{6}} => [2,3,8,5,7,6,4,1] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => 3

{{1,2,3,4,8},{5,7},{6}} => [2,3,4,8,7,6,5,1] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => 5

{{1,2,3,4,5,8},{6},{7}} => [2,3,4,5,8,6,7,1] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => 5

{{1,2,3,4,5,7,8},{6}} => [2,3,4,5,7,6,8,1] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 3

{{1,2,3,4,5,6,7},{8}} => [2,3,4,5,6,7,1,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 5

{{1,2,3,8},{4,5,6,7}} => [2,3,8,5,6,7,4,1] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => 3

{{1,2,3,4,8},{5,6,7}} => [2,3,4,8,6,7,5,1] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => 3

{{1,2,3,4,5,8},{6,7}} => [2,3,4,5,8,7,6,1] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => 5

{{1,2,3,4,5,6,8},{7}} => [2,3,4,5,6,8,7,1] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => 5

{{1,2,3,4,5,6,7,8}} => [2,3,4,5,6,7,8,1] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => 5

{{1,2,4,6,7,8},{3,5}} => [2,4,5,6,3,7,8,1] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2,4,5,7,8},{3,6}} => [2,4,6,5,7,3,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,3,5,7,8},{4,6}} => [2,3,5,6,7,4,8,1] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,3,5,6,8},{4,7}} => [2,3,5,7,6,8,4,1] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 1

{{1,2,3,4,6,8},{5,7}} => [2,3,4,6,7,8,5,1] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2,3,5,6,7},{4,8}} => [2,3,5,8,6,7,1,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 3

{{1,2,3,4,6,7},{5,8}} => [2,3,4,6,8,7,1,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 3

{{1,2,3,4,5,7},{6,8}} => [2,3,4,5,7,8,1,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => 3

{{1,2,5,7,8},{3,4,6}} => [2,5,4,6,7,3,8,1] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2,5,6,8},{3,4,7}} => [2,5,4,7,6,8,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2,4,6,8},{3,5,7}} => [2,4,5,6,7,8,3,1] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2,4,5,8},{3,6,7}} => [2,4,6,5,8,7,3,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,3,5,8},{4,6,7}} => [2,3,5,6,8,7,4,1] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 3

{{1,3,5,6,7},{2,4,8}} => [3,4,5,8,6,7,1,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 5

{{1,2,4,6,7},{3,5,8}} => [2,4,5,6,8,7,1,3] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3

{{1,2,3,6,7},{4,5,8}} => [2,3,6,5,8,7,1,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 3

{{1,2,4,5,7},{3,6,8}} => [2,4,6,5,7,8,1,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,3,5,7},{4,6,8}} => [2,3,5,6,7,8,1,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,3,4,7},{5,6,8}} => [2,3,4,7,6,8,1,5] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => 3

{{1,2,4,7,8},{3,6},{5}} => [2,4,6,7,5,3,8,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,5,6,8},{3,7},{4}} => [2,5,7,4,6,8,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2,4,5,8},{3,6},{7}} => [2,4,6,5,8,3,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,4,6,7},{3,8},{5}} => [2,4,8,6,5,7,1,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 1

{{1,2,3,5,6},{4,8},{7}} => [2,3,5,8,6,1,7,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 3

{{1,2,3,4,6},{5,8},{7}} => [2,3,4,6,8,1,7,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => 3

{{1,2,4,6,7},{3,5},{8}} => [2,4,5,6,3,7,1,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2,3,5,7},{4,6},{8}} => [2,3,5,6,7,4,1,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,3,4,6},{5,7},{8}} => [2,3,4,6,7,1,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,3,5,7},{2,4,6,8}} => [3,4,5,6,7,8,1,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 5

{{1,2,3,7},{4,5,6,8}} => [2,3,7,5,6,8,1,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 1

{{1,3,5,6},{2,4,7,8}} => [3,4,5,7,6,1,8,2] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 3

{{1,2,5,6},{3,4,7,8}} => [2,5,4,7,6,1,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,3,4,6},{2,5,7,8}} => [3,5,4,6,7,1,8,2] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1,2,4,6},{3,5,7,8}} => [2,4,5,6,7,1,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2,4,5},{3,6,7,8}} => [2,4,6,5,1,7,8,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,3,5},{4,6,7,8}} => [2,3,5,6,1,7,8,4] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,6,8},{3,5,7},{4}} => [2,6,5,4,7,8,3,1] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 3

{{1,2,5,8},{3,6,7},{4}} => [2,5,6,4,8,7,3,1] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3

{{1,2,5,8},{3,4,7},{6}} => [2,5,4,7,8,6,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2,6,7},{3,5,8},{4}} => [2,6,5,4,8,7,1,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3

{{1,3,6,7},{2,4,8},{5}} => [3,4,6,8,5,7,1,2] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 3

{{1,2,4,7},{3,6,8},{5}} => [2,4,6,7,5,8,1,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,3,5,7},{2,4,8},{6}} => [3,4,5,8,7,6,1,2] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 5

{{1,2,5,7},{3,4,8},{6}} => [2,5,4,8,7,6,1,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3

{{1,2,4,5},{3,7,8},{6}} => [2,4,7,5,1,6,8,3] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,3,5,6},{2,4,8},{7}} => [3,4,5,8,6,1,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 5

{{1,2,3,5},{4,6,7},{8}} => [2,3,5,6,1,7,4,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,2,6,8},{3,5},{4,7}} => [2,6,5,7,3,8,4,1] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 3

{{1,2,5,8},{3,6},{4,7}} => [2,5,6,7,8,3,4,1] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 3

{{1,2,4,8},{3,5},{6,7}} => [2,4,5,8,3,7,6,1] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => 3

{{1,2,3,6},{4,7},{5,8}} => [2,3,6,7,8,1,4,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 3

{{1,2,4,5},{3,7},{6,8}} => [2,4,7,5,1,8,3,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,2,3,5},{4,7},{6,8}} => [2,3,5,7,1,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => 1

{{1,2,3,4},{5,7},{6,8}} => [2,3,4,1,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => 3

{{1,2,3,5},{4,6},{7,8}} => [2,3,5,6,1,4,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => 3

{{1,2,5,8},{3,7},{4},{6}} => [2,5,7,4,8,6,3,1] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2,4,8},{3,7},{5},{6}} => [2,4,7,8,5,6,3,1] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,2,5,8},{3,6},{4},{7}} => [2,5,6,4,8,3,7,1] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3

{{1,2,4,8},{3,6},{5},{7}} => [2,4,6,8,5,3,7,1] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,4,8},{3,5},{6},{7}} => [2,4,5,8,3,6,7,1] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => 3

{{1,2,6,7},{3,8},{4},{5}} => [2,6,8,4,5,7,1,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 1

{{1,2,5,7},{3,8},{4},{6}} => [2,5,8,4,7,6,1,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3

{{1,2,4,7},{3,8},{5},{6}} => [2,4,8,7,5,6,1,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => 3

{{1,2,5,6},{3,8},{4},{7}} => [2,5,8,4,6,1,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 3

{{1,2,4,6},{3,8},{5},{7}} => [2,4,8,6,5,1,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 1

{{1,2,3,6},{4,8},{5},{7}} => [2,3,6,8,5,1,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => 3

{{1,2,4,5},{3,8},{6},{7}} => [2,4,8,5,1,6,7,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => 3

{{1,2,3,5},{4,8},{6},{7}} => [2,3,5,8,1,6,7,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => 3

{{1,2,5,7},{3,6},{4},{8}} => [2,5,6,4,7,3,1,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2,4,7},{3,6},{5},{8}} => [2,4,6,7,5,3,1,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,4,7},{3,5},{6},{8}} => [2,4,5,7,3,6,1,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 1

{{1,2,4,5},{3,7},{6},{8}} => [2,4,7,5,1,6,3,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,2,4,6},{3,5},{7},{8}} => [2,4,5,6,3,1,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,2,3,5},{4,6},{7},{8}} => [2,3,5,6,1,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => 3

{{1,3,6},{2,5,8},{4,7}} => [3,5,6,7,8,1,4,2] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1,2,6},{3,4,8},{5,7}} => [2,6,4,8,7,1,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 1

{{1,2,5},{3,6,8},{4,7}} => [2,5,6,7,1,8,4,3] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2,5},{3,4,8},{6,7}} => [2,5,4,8,1,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3

{{1,2,4},{3,5,7},{6,8}} => [2,4,5,1,7,8,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 1

{{1,2,5},{3,4,6},{7,8}} => [2,5,4,6,1,3,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3

{{1,2,4},{3,5,6},{7,8}} => [2,4,5,1,6,3,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3

{{1,2,7},{3,6,8},{4},{5}} => [2,7,6,4,5,8,1,3] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 1

{{1,2,7},{3,5,8},{4},{6}} => [2,7,5,4,8,6,1,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 1

{{1,3,7},{2,4,8},{5},{6}} => [3,4,7,8,5,6,1,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 3

{{1,2,7},{3,4,8},{5},{6}} => [2,7,4,8,5,6,1,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 1

{{1,2,6},{3,7,8},{4},{5}} => [2,6,7,4,5,1,8,3] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 1

{{1,2,5},{3,7,8},{4},{6}} => [2,5,7,4,1,6,8,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2,4},{3,7,8},{5},{6}} => [2,4,7,1,5,6,8,3] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,2,6},{3,5,8},{4},{7}} => [2,6,5,4,8,1,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3

{{1,3,6},{2,4,8},{5},{7}} => [3,4,6,8,5,1,7,2] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 3

{{1,2,6},{3,4,8},{5},{7}} => [2,6,4,8,5,1,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 1

{{1,2,4},{3,6,8},{5},{7}} => [2,4,6,1,5,8,7,3] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,3,5},{2,4,8},{6},{7}} => [3,4,5,8,1,6,7,2] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => 5

{{1,2,6},{3,5,7},{4},{8}} => [2,6,5,4,7,1,3,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 3

{{1,2,5},{3,6,7},{4},{8}} => [2,5,6,4,1,7,3,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2,4},{3,5,7},{6},{8}} => [2,4,5,1,7,6,3,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 1

{{1,3,5},{2,4,6},{7},{8}} => [3,4,5,6,1,2,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 5

{{1,2,5},{3,4,6},{7},{8}} => [2,5,4,6,1,3,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2,8},{3,6},{4,7},{5}} => [2,8,6,7,5,3,4,1] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => 3

{{1,2,8},{3,5},{4,7},{6}} => [2,8,5,7,3,6,4,1] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => 3

{{1,2,8},{3,5},{4,6},{7}} => [2,8,5,6,3,4,7,1] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => 3

{{1,2,7},{3,6},{4,8},{5}} => [2,7,6,8,5,3,1,4] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 3

{{1,2,7},{3,5},{4,8},{6}} => [2,7,5,8,3,6,1,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 1

{{1,2,6},{3,7},{4,8},{5}} => [2,6,7,8,5,1,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 3

{{1,2,5},{3,7},{4,8},{6}} => [2,5,7,8,1,6,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 1

{{1,2,3},{4,7},{5,8},{6}} => [2,3,1,7,8,6,4,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => 3

{{1,2,6},{3,5},{4,8},{7}} => [2,6,5,8,3,1,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 3

{{1,2,6},{3,4},{5,8},{7}} => [2,6,4,3,8,1,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 1

{{1,2,5},{3,6},{4,8},{7}} => [2,5,6,8,1,3,7,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3

{{1,2,4},{3,6},{5,8},{7}} => [2,4,6,1,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,3},{4,6},{5,8},{7}} => [2,3,1,6,8,4,7,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 3

{{1,2,7},{3,5},{4,6},{8}} => [2,7,5,6,3,4,1,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 1

{{1,3},{2,5},{4,6},{7},{8}} => [3,5,1,6,2,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1,3},{2,4},{5},{6},{7},{8}} => [3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 5

{{1},{2,3,5,8},{4,6},{7}} => [1,3,5,6,8,4,7,2] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 3

{{1,2,5},{3},{4,7,8},{6}} => [2,5,3,7,1,6,8,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 1

{{1,2,5,7},{3},{4,8},{6}} => [2,5,3,8,7,6,1,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 3

{{1},{2,3,5,7},{4},{6,8}} => [1,3,5,4,7,8,2,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1},{2,6},{3,4,7},{5,8}} => [1,6,4,7,8,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 3

{{1,2},{3,6,7},{4,8},{5}} => [2,1,6,8,5,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 3

{{1,2},{3,6},{4,7,8},{5}} => [2,1,6,7,5,3,8,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 3

{{1},{2,6},{3,4},{5,7,8}} => [1,6,4,3,7,2,8,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 3

{{1},{2,7},{3,4},{5,6,8}} => [1,7,4,3,6,8,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 3

{{1,2},{3,7},{4,6,8},{5}} => [2,1,7,6,5,8,3,4] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => 3

{{1,2},{3,5,8},{4,7},{6}} => [2,1,5,7,8,6,4,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1},{2,5},{3,4,8},{6,7}} => [1,5,4,8,2,7,6,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 5

{{1},{2,4},{3,5,8},{6,7}} => [1,4,5,2,8,7,6,3] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => 5

{{1},{2,4},{3,7},{5,6,8}} => [1,4,7,2,6,8,3,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 3

{{1},{2,4},{3,6},{5,7,8}} => [1,4,6,2,7,3,8,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,4},{3,6,7},{5,8}} => [1,4,6,2,8,7,3,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 3

{{1},{2,4,6},{3,7},{5,8}} => [1,4,7,6,8,2,3,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 3

{{1},{2,4,6},{3,8},{5,7}} => [1,4,8,6,7,2,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 3

{{1},{2,4},{3,8},{5,6,7}} => [1,4,8,2,6,7,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 3

{{1},{2,4,7},{3,5},{6,8}} => [1,4,5,7,3,8,2,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 3

{{1},{2,5,7},{3,4},{6,8}} => [1,5,4,3,7,8,2,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 3

{{1},{2,8},{3,4,6},{5,7}} => [1,8,4,6,7,3,5,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => 3

{{1,2,6},{3,8},{4,7},{5}} => [2,6,8,7,5,1,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => 3

{{1},{2,7},{3,4,6},{5,8}} => [1,7,4,6,8,3,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => 3

{{1,2},{3,6,8},{4,7},{5}} => [2,1,6,7,5,8,4,3] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 3

{{1,2},{3,5,7},{4,8},{6}} => [2,1,5,8,7,6,3,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 3

{{1,2},{3,7},{4,5,8},{6}} => [2,1,7,5,8,6,3,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 1

{{1,2,5},{3,8},{4,7},{6}} => [2,5,8,7,1,6,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3

{{1,2,7},{3,8},{4,6},{5}} => [2,7,8,6,5,4,1,3] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 3

{{1,3},{2,4,6,8},{5},{7}} => [3,4,1,6,5,8,7,2] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 3

{{1},{2,4,6,8},{3},{5,7}} => [1,4,3,6,7,8,5,2] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1,3},{2,4,8},{5,7},{6}} => [3,4,1,8,7,6,5,2] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => 5

{{1},{2,4,8},{3,5,7},{6}} => [1,4,5,8,7,6,3,2] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 5

{{1},{2,8},{3,5,7},{4,6}} => [1,8,5,6,7,4,3,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => 5

{{1},{2,5,8},{3,7},{4,6}} => [1,5,7,6,8,4,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 3

{{1},{2,5,8},{3,6},{4,7}} => [1,5,6,7,8,3,4,2] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 3

{{1},{2,4,8},{3,6},{5,7}} => [1,4,6,8,7,3,5,2] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 3

{{1},{2,4,6,8},{3,5},{7}} => [1,4,5,6,3,8,7,2] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => 5

{{1},{2,6,8},{3,5,7},{4}} => [1,6,5,4,7,8,3,2] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => 5

{{1},{2,6,8},{3,5},{4,7}} => [1,6,5,7,3,8,4,2] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => 3

{{1},{2,4,6,8},{3,7},{5}} => [1,4,7,6,5,8,3,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 3

{{1,2},{3,4,6},{5,8},{7}} => [2,1,4,6,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2},{3,6},{4,5,8},{7}} => [2,1,6,5,8,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 3

{{1,2},{3,5,6},{4,8},{7}} => [2,1,5,8,6,3,7,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => 3

{{1,2,5,6},{3},{4,8},{7}} => [2,5,3,8,6,1,7,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => 3

{{1,2,6},{3},{4,5,8},{7}} => [2,6,3,5,8,1,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 3

{{1,2,5},{3,8},{4,6},{7}} => [2,5,8,6,1,4,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 3

{{1,2,4},{3,6},{5},{7,8}} => [2,4,6,1,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,4,6},{3},{5,8},{7}} => [2,4,3,6,8,1,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,2,4},{3,8},{5,7},{6}} => [2,4,8,1,7,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => 3

{{1,2,4},{3,8},{5},{6,7}} => [2,4,8,1,5,7,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => 3

{{1,2,5},{3,7},{4},{6,8}} => [2,5,7,4,1,8,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2,8},{3,6},{4},{5,7}} => [2,8,6,4,7,3,5,1] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => 1

{{1,2,6},{3},{4,8},{5,7}} => [2,6,3,8,7,1,5,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => 3

{{1,2,6,8},{3},{4,7},{5}} => [2,6,3,7,5,8,4,1] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => 3

{{1,3},{2,4,6,7},{5},{8}} => [3,4,1,6,5,7,2,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 3

{{1,2,5},{3,6},{4},{7,8}} => [2,5,6,4,1,3,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3

{{1,2,4},{3,7},{5,6},{8}} => [2,4,7,1,6,5,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 1

{{1,2,7},{3},{4,5},{6,8}} => [2,7,3,5,4,8,1,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 1

{{1,3},{2,5,7},{4,6},{8}} => [3,5,1,6,7,4,2,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1,3},{2,4,5,6},{7,8}} => [3,4,1,5,6,2,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 5

{{1,3},{2,4,5,7},{6,8}} => [3,4,1,5,7,8,2,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 3

{{1,2},{3,4,5,7},{6,8}} => [2,1,4,5,7,8,3,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 1

{{1,3},{2,4,5,6,7,8}} => [3,4,1,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 5

{{1,2},{3,4,6,7},{5,8}} => [2,1,4,6,8,7,3,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,3},{2,4,6,7},{5,8}} => [3,4,1,6,8,7,2,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 3

{{1,3},{2,4},{5,6,7,8}} => [3,4,1,2,6,7,8,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 3

{{1,3},{2,5},{4,6,7,8}} => [3,5,1,6,2,7,8,4] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1,2},{3,5},{4,6,7,8}} => [2,1,5,6,3,7,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 3

{{1,2},{3,6},{4,5,7,8}} => [2,1,6,5,7,3,8,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 3

{{1,2},{3,5,6,8},{4,7}} => [2,1,5,7,6,8,4,3] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => 1

{{1,2},{3,6},{4},{5,7,8}} => [2,1,6,4,7,3,8,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 1

{{1,2},{3,7},{4},{5,6,8}} => [2,1,7,4,6,8,3,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 1

{{1},{2,5,6},{3,7},{4,8}} => [1,5,7,8,6,2,3,4] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => 3

{{1},{2,5},{3,7},{4,6,8}} => [1,5,7,6,2,8,3,4] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => 3

{{1},{2},{3,6,7},{4,5,8}} => [1,2,6,5,8,7,3,4] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => 5

{{1},{2,3,6,7},{4},{5,8}} => [1,3,6,4,8,7,2,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 3

{{1},{2,3,6},{4,8},{5,7}} => [1,3,6,8,7,2,5,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 3

{{1},{2},{3,4,6,8},{5,7}} => [1,2,4,6,7,8,5,3] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => 3

{{1},{2},{3,6},{4,5,7,8}} => [1,2,6,5,7,3,8,4] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => 5

{{1},{2,5},{3},{4,6,7,8}} => [1,5,3,6,2,7,8,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 3

{{1},{2,5},{3,6},{4,7,8}} => [1,5,6,7,2,3,8,4] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 5

{{1},{2,5},{3,6,7},{4,8}} => [1,5,6,8,2,7,3,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => 5

{{1},{2},{3,5,6,7},{4,8}} => [1,2,5,8,6,7,3,4] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => 5

{{1},{2},{3,5},{4,6,7,8}} => [1,2,5,6,3,7,8,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => 5

{{1},{2,4,8},{3,5},{6,7}} => [1,4,5,8,3,7,6,2] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => 5

{{1},{2,4},{3,6,8},{5,7}} => [1,4,6,2,7,8,5,3] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,4,7},{3,6},{5,8}} => [1,4,6,7,8,3,2,5] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1,3},{2,4,7,8},{5},{6}} => [3,4,1,7,5,6,8,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 3

{{1},{2,4,7},{3},{5,6,8}} => [1,4,3,7,6,8,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 3

{{1},{2},{3,7},{4,5,6,8}} => [1,2,7,5,6,8,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => 3

{{1},{2},{3,5,7},{4,6,8}} => [1,2,5,6,7,8,3,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => 5

{{1},{2,6},{3,5,7},{4,8}} => [1,6,5,8,7,2,3,4] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => 5

{{1},{2,6},{3},{4,5,7,8}} => [1,6,3,5,7,2,8,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 3

{{1,2,6},{3},{4,7,8},{5}} => [2,6,3,7,5,1,8,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => 3

{{1},{2,6},{3,7},{4,5,8}} => [1,6,7,5,8,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 5

{{1,2,7},{3,8},{4,5},{6}} => [2,7,8,5,4,6,1,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 1

{{1,2,5},{3},{4,7},{6,8}} => [2,5,3,7,1,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 1

{{1,2},{3,4,7},{5,8},{6}} => [2,1,4,7,8,6,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 1

{{1,2},{3,5},{4,6,8},{7}} => [2,1,5,6,3,8,7,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3

{{1,2,6},{3},{4,7},{5,8}} => [2,6,3,7,8,1,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 3

{{1,2,6},{3,7},{4},{5,8}} => [2,6,7,4,8,1,3,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 1

{{1,2,5},{3},{4,6,8},{7}} => [2,5,3,6,1,8,7,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3

{{1,2,4,7},{3},{5,8},{6}} => [2,4,3,7,8,6,1,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => 1

{{1,2,7},{3,4},{5},{6,8}} => [2,7,4,3,5,8,1,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 1

{{1,2,4,7},{3},{5},{6,8}} => [2,4,3,7,5,8,1,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,2,4},{3},{5,7},{6,8}} => [2,4,3,1,7,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => 1

{{1,3},{2,4},{5,6,8},{7}} => [3,4,1,2,6,8,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => 3

{{1,3},{2,4,7},{5},{6,8}} => [3,4,1,7,5,8,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 3

{{1,3},{2,4,7},{5,8},{6}} => [3,4,1,7,8,6,2,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 3

{{1,2,5,8},{3},{4,6},{7}} => [2,5,3,6,8,4,7,1] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => 3

{{1,2},{3,5,8},{4,6},{7}} => [2,1,5,6,8,4,7,3] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => 3

{{1,2,7},{3,5},{4},{6,8}} => [2,7,5,4,3,8,1,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => 1

{{1},{2,3,4,7},{5},{6,8}} => [1,3,4,7,5,8,2,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => 3

{{1},{2,3,4},{5,7},{6,8}} => [1,3,4,2,7,8,5,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => 3

{{1},{2,4,5},{3,7},{6,8}} => [1,4,7,5,2,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 3

{{1},{2,3,5},{4,7},{6,8}} => [1,3,5,7,2,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1},{2,3,5},{4,6},{7,8}} => [1,3,5,6,2,4,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 3

{{1},{2,4,7},{3},{5,8},{6}} => [1,4,3,7,8,6,2,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 3

{{1},{2,5,8},{3,7},{4},{6}} => [1,5,7,4,8,6,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 3

{{1},{2,8},{3,6},{4,5,7}} => [1,8,6,5,7,3,4,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => 3

{{1},{2,5},{3,6,8},{4},{7}} => [1,5,6,4,2,8,7,3] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => 5

{{1},{2,5,6,7},{3,8},{4}} => [1,5,8,4,6,7,2,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 5

{{1},{2,6,7},{3,4,8},{5}} => [1,6,4,8,5,7,2,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 3

{{1},{2,6},{3,7},{4,8},{5}} => [1,6,7,8,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => 5

{{1},{2,6},{3,7},{4},{5},{8}} => [1,6,7,4,5,2,3,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 3

{{1},{2,5,6},{3,4,7},{8}} => [1,5,4,7,6,2,3,8] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 3

{{1},{2,4,6},{3,5,7},{8}} => [1,4,5,6,7,2,3,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 5

{{1},{2,3,5},{4,6,7},{8}} => [1,3,5,6,2,7,4,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 3

{{1},{2},{3,5},{4,6},{7},{8}} => [1,2,5,6,3,4,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => 5

{{1},{2,5},{3},{4,7},{6},{8}} => [1,5,3,7,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 1

{{1,2,7},{3},{4,5,8},{6}} => [2,7,3,5,8,6,1,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => 1

{{1},{2,4,8},{3,7},{5,6}} => [1,4,7,8,6,5,3,2] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => 3

{{1},{2,4},{3,7,8},{5,6}} => [1,4,7,2,6,5,8,3] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => 3

{{1},{2,6,8},{3,4},{5,7}} => [1,6,4,3,7,8,5,2] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => 3

{{1,3},{2,4},{5,7,8},{6}} => [3,4,1,2,7,6,8,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => 3

{{1},{2,6},{3,4,8},{5,7}} => [1,6,4,8,7,2,5,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 3

{{1},{2,3},{4,5,7},{6,8}} => [1,3,2,5,7,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1},{2,3},{4,6,8},{5,7}} => [1,3,2,6,7,8,5,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 3

{{1},{2,3,5,7},{4,8},{6}} => [1,3,5,8,7,6,2,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 3

{{1},{2,3,7},{4,6},{5,8}} => [1,3,7,6,8,4,2,5] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => 3

{{1},{2,3,6},{4,7},{5,8}} => [1,3,6,7,8,2,4,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 3

{{1,3},{2,5,7,8},{4,6}} => [3,5,1,6,7,4,8,2] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1},{2,5,7},{3,8},{4},{6}} => [1,5,8,4,7,6,2,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 5

{{1},{2,7},{3,5,6},{4,8}} => [1,7,5,8,6,3,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 1

{{1,2,6},{3,8},{4},{5,7}} => [2,6,8,4,7,1,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 1

{{1},{2,6},{3,8},{4},{5,7}} => [1,6,8,4,7,2,5,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => 3

{{1},{2,5,6,7},{3,4,8}} => [1,5,4,8,6,7,2,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 5

{{1},{2,3,5},{4,8},{6,7}} => [1,3,5,8,2,7,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => 3

{{1,2,3,5},{4,8},{6,7}} => [2,3,5,8,1,7,6,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => 3

{{1},{2},{3,5},{4,8},{6,7}} => [1,2,5,8,3,7,6,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => 5

{{1,2,5},{3},{4,8},{6,7}} => [2,5,3,8,1,7,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => 3

{{1},{2,5},{3},{4,8},{6,7}} => [1,5,3,8,2,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => 3

{{1,2,5,6},{3,8},{4,7}} => [2,5,8,7,6,1,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3

{{1},{2,7},{3,8},{4,5,6}} => [1,7,8,5,6,4,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => 3

{{1},{2,5},{3,8},{4,6,7}} => [1,5,8,6,2,7,4,3] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => 5

{{1},{2,3,7},{4,8},{5},{6}} => [1,3,7,8,5,6,2,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => 1

{{1},{2,4},{3,7,8},{5},{6}} => [1,4,7,2,5,6,8,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 3

{{1},{2,5,7},{3,4,8},{6}} => [1,5,4,8,7,6,2,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => 5

{{1},{2,4},{3,5},{6,7},{8}} => [1,4,5,2,3,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 3

{{1},{2,4,8},{3,5},{6},{7}} => [1,4,5,8,3,6,7,2] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => 5

{{1},{2,5,7},{3,8},{4,6}} => [1,5,8,6,7,4,2,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 5

{{1},{2,5},{3,6},{4,7},{8}} => [1,5,6,7,2,3,4,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => 5

{{1},{2,5},{3,6,8},{4,7}} => [1,5,6,7,2,8,4,3] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => 5

{{1},{2,3,6,7},{4,8},{5}} => [1,3,6,8,5,7,2,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => 3

{{1,2},{3},{4,6},{5,7,8}} => [2,1,3,6,7,4,8,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => 3

{{1},{2,5,6,8},{3},{4,7}} => [1,5,3,7,6,8,4,2] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => 1

{{1},{2},{3,5,6,8},{4,7}} => [1,2,5,7,6,8,4,3] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => 3

{{1},{2,4,5,7},{3,8},{6}} => [1,4,8,5,7,6,2,3] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => 5

{{1},{2,6},{3,7,8},{4,5}} => [1,6,7,5,4,2,8,3] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => 5

{{1},{2},{3,6,8},{4,5,7}} => [1,2,6,5,7,8,4,3] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => 5

{{1},{2,3},{4,7},{5,6,8}} => [1,3,2,7,6,8,4,5] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => 3

{{1},{2,4,6,7},{3},{5,8}} => [1,4,3,6,8,7,2,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 3

{{1},{2,5},{3,7,8},{4,6}} => [1,5,7,6,2,4,8,3] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => 3

{{1,3},{2,4,5},{6,8},{7}} => [3,4,1,5,2,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => 5

{{1,3},{2,4,5},{6,7},{8}} => [3,4,1,5,2,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 3

{{1},{2,5,6,7},{3},{4,8}} => [1,5,3,8,6,7,2,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => 3

{{1},{2,4,5,8},{3,7},{6}} => [1,4,7,5,8,6,3,2] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => 3

{{1},{2,4,5},{3,7,8},{6}} => [1,4,7,5,2,6,8,3] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 3

{{1},{2,4,6,7},{3,8},{5}} => [1,4,8,6,5,7,2,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => 3

{{1,2},{3,5},{4,7,8},{6}} => [2,1,5,7,3,6,8,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 1

{{1},{2,4,5,8},{3,6},{7}} => [1,4,6,5,8,3,7,2] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 3

{{1},{2,4},{3,6},{5,8},{7}} => [1,4,6,2,8,3,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 3

{{1},{2,4,5,6},{3,8},{7}} => [1,4,8,5,6,2,7,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 5

{{1},{2,6},{3,5},{4,8},{7}} => [1,6,5,8,3,2,7,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => 3

{{1},{2,8},{3,5},{4,7},{6}} => [1,8,5,7,3,6,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => 3

{{1},{2,5,7,8},{3,6},{4}} => [1,5,6,4,7,3,8,2] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 5

{{1,3},{2,5,6,7},{4},{8}} => [3,5,1,4,6,7,2,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1},{2,4},{3,8},{5,7},{6}} => [1,4,8,2,7,6,5,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => 5

{{1},{2,5,7},{3,4,6},{8}} => [1,5,4,6,7,3,2,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => 5

{{1},{2,3,6},{4,5,7},{8}} => [1,3,6,5,7,2,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 3

{{1},{2,5,8},{3,4,7},{6}} => [1,5,4,7,8,6,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 3

{{1},{2,3,7},{4,6,8},{5}} => [1,3,7,6,5,8,2,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => 3

{{1},{2,3,7},{4,5,8},{6}} => [1,3,7,5,8,6,2,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => 1

{{1,2,6,8},{3},{4},{5,7}} => [2,6,3,4,7,8,5,1] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => 3

{{1,2},{3,6,8},{4},{5,7}} => [2,1,6,4,7,8,5,3] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 1

{{1,3},{2,4,8},{5},{6,7}} => [3,4,1,8,5,7,6,2] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => 5

{{1,2,4},{3,8},{5,6},{7}} => [2,4,8,1,6,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => 1

{{1,2,3},{4,7},{5},{6,8}} => [2,3,1,7,5,8,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => 1

{{1,2,5},{3},{4,6,7},{8}} => [2,5,3,6,1,7,4,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 3

{{1,2,5},{3,8},{4},{6,7}} => [2,5,8,4,1,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => 3

{{1},{2,3,7},{4},{5,6,8}} => [1,3,7,4,6,8,2,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => 3

{{1},{2,3,6},{4},{5,7,8}} => [1,3,6,4,7,2,8,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 3

{{1},{2,3},{4,6,7},{5,8}} => [1,3,2,6,8,7,4,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 3

{{1},{2,3},{4,6},{5,7,8}} => [1,3,2,6,7,4,8,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => 3

{{1},{2,3,5,6},{4,8},{7}} => [1,3,5,8,6,2,7,4] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => 3

{{1},{2,5},{3,4,7,8},{6}} => [1,5,4,7,2,6,8,3] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 3

{{1},{2,4,8},{3,6,7},{5}} => [1,4,6,8,5,7,3,2] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => 3

{{1},{2,3,6},{4,7,8},{5}} => [1,3,6,7,5,2,8,4] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 3

{{1},{2,5},{3,4,7},{6,8}} => [1,5,4,7,2,8,3,6] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => 3

{{1},{2,4,5,7},{3,6},{8}} => [1,4,6,5,7,3,2,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,6},{3,4,5,7},{8}} => [1,6,4,5,7,2,3,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 3

{{1},{2,7},{3,6,8},{4,5}} => [1,7,6,5,4,8,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => 5

{{1},{2,6,8},{3},{4,7},{5}} => [1,6,3,7,5,8,4,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 3

{{1},{2,7},{3,4,6,8},{5}} => [1,7,4,6,5,8,2,3] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => 3

{{1},{2,6},{3},{4,8},{5,7}} => [1,6,3,8,7,2,5,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 3

{{1},{2,6},{3,5,8},{4,7}} => [1,6,5,7,8,2,4,3] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => 5

{{1},{2,5,6,8},{3,7},{4}} => [1,5,7,4,6,8,3,2] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => 3

{{1},{2,7},{3,5},{4,6,8}} => [1,7,5,6,3,8,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => 1

{{1},{2,4},{3,5,7},{6,8}} => [1,4,5,2,7,8,3,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 3

{{1},{2,4},{3,5,8},{6},{7}} => [1,4,5,2,8,6,7,3] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => 5

{{1},{2,3,8},{4,6},{5,7}} => [1,3,8,6,7,4,5,2] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => 3

{{1},{2,4,5,7},{3},{6,8}} => [1,4,3,5,7,8,2,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 3

{{1},{2},{3,5,7,8},{4,6}} => [1,2,5,6,7,4,8,3] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => 5

{{1},{2},{3,5,8},{4,6,7}} => [1,2,5,6,8,7,4,3] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => 5

{{1},{2,5,7},{3,6},{4,8}} => [1,5,6,8,7,3,2,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 3

{{1},{2,3,5},{4,6,7,8}} => [1,3,5,6,2,7,8,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 3

{{1},{2,4,5,7,8},{3,6}} => [1,4,6,5,7,3,8,2] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,4,6,8},{3,5,7}} => [1,4,5,6,7,8,3,2] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 5

{{1,2,4,6,7},{3},{5,8}} => [2,4,3,6,8,7,1,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => 1

{{1,3,5},{2,4,6,8},{7}} => [3,4,5,6,1,8,7,2] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 5

{{1},{2,3,7},{4,5},{6,8}} => [1,3,7,5,4,8,2,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => 1

{{1},{2},{3,4,7},{5,6,8}} => [1,2,4,7,6,8,3,5] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => 3

{{1,2},{3},{4,6,8},{5,7}} => [2,1,3,6,7,8,5,4] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => 3

{{1,2},{3},{4,6,7},{5,8}} => [2,1,3,6,8,7,4,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => 3

{{1,3},{2,4},{5},{6,7,8}} => [3,4,1,2,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => 3

{{1,2,4,6},{3},{5,7},{8}} => [2,4,3,6,7,1,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,6},{3,7},{4,5},{8}} => [2,6,7,5,4,1,3,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 3

{{1},{2,3,4,6},{5,7},{8}} => [1,3,4,6,7,2,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 3

{{1},{2,6,8},{3},{4,5,7}} => [1,6,3,5,7,8,4,2] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => 3

{{1},{2,6,7},{3,8},{4,5}} => [1,6,8,5,4,7,2,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => 5

{{1},{2,5,6},{3,8},{4,7}} => [1,5,8,7,6,2,4,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => 5

{{1,2,7},{3,6},{4},{5,8}} => [2,7,6,4,8,3,1,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => 1

{{1},{2,5,8},{3},{4,6,7}} => [1,5,3,6,8,7,4,2] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 3

{{1},{2,4,5},{3,6,7},{8}} => [1,4,6,5,2,7,3,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,4,5},{3,6,8},{7}} => [1,4,6,5,2,8,7,3] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => 3

{{1},{2,4},{3,5,6},{7,8}} => [1,4,5,2,6,3,8,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => 5

{{1,2,6},{3,4,5,7,8}} => [2,6,4,5,7,1,8,3] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 1

{{1},{2,3,5,8},{4,7},{6}} => [1,3,5,7,8,6,4,2] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => 1

{{1,2,6,8},{3,4,5,7}} => [2,6,4,5,7,8,3,1] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => 1

{{1,2,6},{3,4,5,8},{7}} => [2,6,4,5,8,1,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => 1

{{1,2,4},{3,5,6,7,8}} => [2,4,5,1,6,7,8,3] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => 3

{{1,3,4},{2,5,6,7,8}} => [3,5,4,1,6,7,8,2] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1,2,6},{3,5},{4,7,8}} => [2,6,5,7,3,1,8,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 3

{{1,2,5},{3,6},{4,7,8}} => [2,5,6,7,1,3,8,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 3

{{1,2,5},{3,4,6,7,8}} => [2,5,4,6,1,7,8,3] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1},{2},{3},{4},{5,7},{6,8}} => [1,2,3,4,7,8,5,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => 5

{{1},{2},{3},{4,6},{5,8},{7}} => [1,2,3,6,8,4,7,5] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => 5

{{1},{2},{3,5},{4,8},{6},{7}} => [1,2,5,8,3,6,7,4] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => 5

{{1},{2,4},{3,8},{5},{6},{7}} => [1,4,8,2,5,6,7,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 5

{{1},{2},{3},{4,7},{5,8},{6}} => [1,2,3,7,8,6,4,5] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => 5

{{1},{2},{3,6},{4,8},{5},{7}} => [1,2,6,8,5,3,7,4] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => 5

{{1},{2},{3},{4,6,7},{5,8}} => [1,2,3,6,8,7,4,5] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => 5

{{1},{2,5},{3,8},{4},{6},{7}} => [1,5,8,4,2,6,7,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => 5

{{1},{2},{3,5,6},{4,8},{7}} => [1,2,5,8,6,3,7,4] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => 5

{{1},{2,4,5},{3,8},{6},{7}} => [1,4,8,5,2,6,7,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => 5

{{1,3,7},{2,4,5,8},{6}} => [3,4,7,5,8,6,1,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => 3

{{1},{2,3,5,7,8},{4,6}} => [1,3,5,6,7,4,8,2] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 3

{{1},{2,3,5,7},{4,6},{8}} => [1,3,5,6,7,4,2,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 3

{{1},{2,3,5,7},{4,6,8}} => [1,3,5,6,7,8,2,4] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => 3

{{1},{2,3,4,5,7},{6,8}} => [1,3,4,5,7,8,2,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => 3

{{1},{2,3,5,8},{4,6,7}} => [1,3,5,6,8,7,4,2] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => 3

{{1},{2,4,7,8},{3,5},{6}} => [1,4,5,7,3,6,8,2] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => 3

{{1},{2,4,7,8},{3,6},{5}} => [1,4,6,7,5,3,8,2] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1},{2,3,4,6,8},{5,7}} => [1,3,4,6,7,8,5,2] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,3},{2,4,5,6,8},{7}} => [3,4,1,5,6,8,7,2] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => 5

{{1,2,6},{3,7},{4,5,8}} => [2,6,7,5,8,1,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => 3

{{1,2},{3,4,6},{5,7,8}} => [2,1,4,6,7,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,3},{4,7},{5,6,8}} => [2,3,1,7,6,8,4,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => 3

{{1,2,6},{3,5,7,8},{4}} => [2,6,5,4,7,1,8,3] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 3

{{1},{2,4},{3,5,6,7,8}} => [1,4,5,2,6,7,8,3] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => 5

{{1},{2},{3,7},{4,8},{5},{6}} => [1,2,7,8,5,6,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => 3

{{1},{2,5},{3,6},{4},{7},{8}} => [1,5,6,4,2,3,7,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 5

{{1},{2,6},{3},{4,8},{5},{7}} => [1,6,3,8,5,2,7,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => 3

{{1,3},{2,5},{4,6,7},{8}} => [3,5,1,6,2,7,4,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => 3

{{1,2},{3,6,8},{4,5,7}} => [2,1,6,5,7,8,4,3] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => 3

{{1,2,7},{3,6,8},{4,5}} => [2,7,6,5,4,8,1,3] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => 3

{{1,3},{2,4,5,6,7},{8}} => [3,4,1,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 5

{{1},{2,5},{3,4,6,7,8}} => [1,5,4,6,2,7,8,3] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 5

{{1},{2,6},{3,4,5,7,8}} => [1,6,4,5,7,2,8,3] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => 3

{{1},{2,3,4,6},{5,7,8}} => [1,3,4,6,7,2,8,5] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => 3

{{1,2,7},{3},{4,6,8},{5}} => [2,7,3,6,5,8,1,4] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => 3

{{1},{2,4,6},{3},{5,7,8}} => [1,4,3,6,7,2,8,5] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => 3

{{1,2,4,5,7},{3},{6,8}} => [2,4,3,5,7,8,1,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => 1

{{1},{2,5,7},{3},{4,6,8}} => [1,5,3,6,7,8,2,4] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 3

{{1,2},{3,5,7},{4,6,8}} => [2,1,5,6,7,8,3,4] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => 3

{{1},{2,7},{3,8},{4},{5},{6}} => [1,7,8,4,5,6,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => 3

{{1},{2},{3},{4,6,8},{5,7}} => [1,2,3,6,7,8,5,4] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => 5

{{1},{2},{3,5,8},{4,6},{7}} => [1,2,5,6,8,4,7,3] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => 5

{{1},{2,4,8},{3,5,6,7}} => [1,4,5,8,6,7,3,2] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => 5

{{1},{2,7},{3,6},{4},{5,8}} => [1,7,6,4,8,3,2,5] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => 3

{{1,3,5},{2,4,6,7,8}} => [3,4,5,6,1,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => 5

{{1,2,4,6,8},{3},{5,7}} => [2,4,3,6,7,8,5,1] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1},{2,7},{3},{4,5,6,8}} => [1,7,3,5,6,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => 1

{{1,2,4},{3,6},{5,7,8}} => [2,4,6,1,7,3,8,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2,7},{3,4,6,8},{5}} => [2,7,4,6,5,8,1,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => 1

{{1,2,8},{3,4,6},{5,7}} => [2,8,4,6,7,3,5,1] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => 1

{{1,2},{3,5,7,8},{4,6}} => [2,1,5,6,7,4,8,3] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => 3

{{1,2,6,7},{3},{4},{5,8}} => [2,6,3,4,8,7,1,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => 3

{{1},{2,4},{3,5},{6,7,8}} => [1,4,5,2,3,7,8,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 3

{{1,2,7},{3,4,5,6,8}} => [2,7,4,5,6,8,1,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => 1

{{1,2},{3,5,6},{4,7,8}} => [2,1,5,7,6,3,8,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => 1

{{1,2},{3,7},{4,5,6,8}} => [2,1,7,5,6,8,3,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => 1

{{1},{2},{3,4,5,7},{6,8}} => [1,2,4,5,7,8,3,6] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => 3

{{1},{2,5},{3,4,6,7},{8}} => [1,5,4,6,2,7,3,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => 5

{{1},{2,3,6},{4},{5,8},{7}} => [1,3,6,4,8,2,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => 3

{{1},{2,3,7},{4},{5,8},{6}} => [1,3,7,4,8,6,2,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => 3

{{1},{2,4},{3,7},{5},{6,8}} => [1,4,7,2,5,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => 3

{{1},{2,5},{3},{4,6,8},{7}} => [1,5,3,6,2,8,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => 3

{{1},{2,5},{3},{4,6,7},{8}} => [1,5,3,6,2,7,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => 3

{{1,2},{3,4,6,8},{5,7}} => [2,1,4,6,7,8,5,3] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => 1

{{1,2},{3,6,7},{4,5,8}} => [2,1,6,5,8,7,3,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => 3

{{1,2,4},{3,5,6,8},{7}} => [2,4,5,1,6,8,7,3] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => 3

{{1},{2,4},{3,5,6,8},{7}} => [1,4,5,2,6,8,7,3] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => 5

{{1,3,6},{2,4,5,7,8}} => [3,4,6,5,7,1,8,2] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 3

{{1},{2,3,6,8},{4,7},{5}} => [1,3,6,7,5,8,4,2] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 3

{{1},{2,4,7},{3,5,6,8}} => [1,4,5,7,6,8,2,3] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => 3

{{1,3,6},{2,4,5,7},{8}} => [3,4,6,5,7,1,2,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => 3

{{1,2,5,7},{3,8},{4,6}} => [2,5,8,6,7,4,1,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => 3

{{1},{2,3,6},{4,7},{5},{8}} => [1,3,6,7,5,2,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => 3

{{1},{2,5,8},{3,6},{4},{7}} => [1,5,6,4,8,3,7,2] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => 5

{{1},{2,4,6,7},{3,5},{8}} => [1,4,5,6,3,7,2,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => 5

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Description

The number of vertices with out-degree 1 in a binary tree.
See the references for several connections of this statistic.
In particular, the number $T(n,k)$ of binary trees with $n$ vertices and $k$ out-degree $1$ vertices is given by $T(n,k) = 0$ for $n-k$ odd and
$$T(n,k)=\frac{2^k}{n+1}\binom{n+1}{k}\binom{n+1-k}{(n-k)/2}$$
for $n-k$ is even.

Map

to permutation

Description

Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.

Map

binary search tree: left to right

Description

Return the shape of the binary search tree of the permutation as a non labelled binary tree.