Identifier
-
Mp00061:
Permutations
—to increasing tree⟶
Binary trees
Mp00012: Binary trees —to Dyck path: up step, left tree, down step, right tree⟶ Dyck paths
St000439: Dyck paths ⟶ ℤ (values match St000025The number of initial rises of a Dyck path.)
Values
[1] => [.,.] => [1,0] => 2
[1,2] => [.,[.,.]] => [1,0,1,0] => 2
[2,1] => [[.,.],.] => [1,1,0,0] => 3
[1,2,3] => [.,[.,[.,.]]] => [1,0,1,0,1,0] => 2
[1,3,2] => [.,[[.,.],.]] => [1,0,1,1,0,0] => 2
[2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 3
[2,3,1] => [[.,[.,.]],.] => [1,1,0,1,0,0] => 3
[3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 3
[3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 4
[1,2,3,4] => [.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => 2
[1,2,4,3] => [.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => 2
[1,3,2,4] => [.,[[.,.],[.,.]]] => [1,0,1,1,0,0,1,0] => 2
[1,3,4,2] => [.,[[.,[.,.]],.]] => [1,0,1,1,0,1,0,0] => 2
[1,4,2,3] => [.,[[.,.],[.,.]]] => [1,0,1,1,0,0,1,0] => 2
[1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => 2
[2,1,3,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 3
[2,1,4,3] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 3
[2,3,1,4] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 3
[2,3,4,1] => [[.,[.,[.,.]]],.] => [1,1,0,1,0,1,0,0] => 3
[2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 3
[2,4,3,1] => [[.,[[.,.],.]],.] => [1,1,0,1,1,0,0,0] => 3
[3,1,2,4] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 3
[3,1,4,2] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 3
[3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 4
[3,2,4,1] => [[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0] => 4
[3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 3
[3,4,2,1] => [[[.,[.,.]],.],.] => [1,1,1,0,1,0,0,0] => 4
[4,1,2,3] => [[.,.],[.,[.,.]]] => [1,1,0,0,1,0,1,0] => 3
[4,1,3,2] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 3
[4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 4
[4,2,3,1] => [[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0] => 4
[4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 4
[4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 5
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => 2
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => 2
[1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,0,0,1,0] => 2
[1,2,4,5,3] => [.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,1,0,0] => 2
[1,2,5,3,4] => [.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,0,0,1,0] => 2
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,1,0,0,0] => 2
[1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0] => 2
[1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0] => 2
[1,3,4,2,5] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0] => 2
[1,3,4,5,2] => [.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,1,0,1,0,0] => 2
[1,3,5,2,4] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0] => 2
[1,3,5,4,2] => [.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,0] => 2
[1,4,2,3,5] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0] => 2
[1,4,2,5,3] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0] => 2
[1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0] => 2
[1,4,3,5,2] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2
[1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [1,0,1,1,0,1,0,0,1,0] => 2
[1,4,5,3,2] => [.,[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,1,0,0,0] => 2
[1,5,2,3,4] => [.,[[.,.],[.,[.,.]]]] => [1,0,1,1,0,0,1,0,1,0] => 2
[1,5,2,4,3] => [.,[[.,.],[[.,.],.]]] => [1,0,1,1,0,0,1,1,0,0] => 2
[1,5,3,2,4] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0] => 2
[1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => 2
[1,5,4,2,3] => [.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,0,0,0,1,0] => 2
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 2
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 3
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => 3
[2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => 3
[2,1,4,5,3] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => 3
[2,1,5,3,4] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => 3
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 3
[2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 3
[2,3,1,5,4] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.] => [1,1,0,1,0,1,0,1,0,0] => 3
[2,3,5,1,4] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => 3
[2,3,5,4,1] => [[.,[.,[[.,.],.]]],.] => [1,1,0,1,0,1,1,0,0,0] => 3
[2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 3
[2,4,1,5,3] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 3
[2,4,3,1,5] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 3
[2,4,3,5,1] => [[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,0] => 3
[2,4,5,1,3] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => 3
[2,4,5,3,1] => [[.,[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,0] => 3
[2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 3
[2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 3
[2,5,3,1,4] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 3
[2,5,3,4,1] => [[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,0,0] => 3
[2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 3
[2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => 3
[3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 3
[3,1,2,5,4] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => 3
[3,1,4,2,5] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => 3
[3,1,4,5,2] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => 3
[3,1,5,2,4] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => 3
[3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 3
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 4
[3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 4
[3,2,4,1,5] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[3,2,4,5,1] => [[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0] => 4
[3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 4
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 3
[3,4,1,5,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 3
[3,4,2,1,5] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => 4
[3,4,2,5,1] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => 4
[3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]] => [1,1,0,1,0,1,0,0,1,0] => 3
[3,4,5,2,1] => [[[.,[.,[.,.]]],.],.] => [1,1,1,0,1,0,1,0,0,0] => 4
[3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 3
[3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 3
>>> Load all 14731 entries. <<<[3,5,2,1,4] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => 4
[3,5,2,4,1] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => 4
[3,5,4,1,2] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 3
[3,5,4,2,1] => [[[.,[[.,.],.]],.],.] => [1,1,1,0,1,1,0,0,0,0] => 4
[4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 3
[4,1,2,5,3] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => 3
[4,1,3,2,5] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => 3
[4,1,3,5,2] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => 3
[4,1,5,2,3] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => 3
[4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 3
[4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 4
[4,2,1,5,3] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 4
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[4,2,3,5,1] => [[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0] => 4
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[4,2,5,3,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 4
[4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 4
[4,3,1,5,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 4
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 5
[4,3,2,5,1] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => 5
[4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[4,3,5,2,1] => [[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0] => 5
[4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [1,1,0,1,0,0,1,0,1,0] => 3
[4,5,1,3,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 3
[4,5,2,1,3] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => 4
[4,5,2,3,1] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => 4
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => 4
[4,5,3,2,1] => [[[[.,[.,.]],.],.],.] => [1,1,1,1,0,1,0,0,0,0] => 5
[5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,1,0,0,1,0,1,0,1,0] => 3
[5,1,2,4,3] => [[.,.],[.,[[.,.],.]]] => [1,1,0,0,1,0,1,1,0,0] => 3
[5,1,3,2,4] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => 3
[5,1,3,4,2] => [[.,.],[[.,[.,.]],.]] => [1,1,0,0,1,1,0,1,0,0] => 3
[5,1,4,2,3] => [[.,.],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,0,1,0] => 3
[5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 3
[5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 4
[5,2,1,4,3] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 4
[5,2,3,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => [1,1,1,0,0,1,0,1,0,0] => 4
[5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 4
[5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 4
[5,3,1,4,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 4
[5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 5
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => 5
[5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 4
[5,3,4,2,1] => [[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0] => 5
[5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,1,1,0,0,0,1,0,1,0] => 4
[5,4,1,3,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 4
[5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 5
[5,4,2,3,1] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => 5
[5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 5
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,1,1,1,1,0,0,0,0,0] => 6
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,5,6,4] => [.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,2,3,6,4,5] => [.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,4,5,3,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,5,6,3] => [.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,2,4,6,3,5] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,6,5,3] => [.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,2,5,3,4,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,3,6,4] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,5,4,6,3] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,5,6,4,3] => [.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => 2
[1,2,6,3,4,5] => [.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,6,3,5,4] => [.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,6,4,3,5] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,2,6,5,3,4] => [.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,2,5,6,4] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,3,2,6,4,5] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,4,2,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,4,2,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,4,5,2,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,5,6,2] => [.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,3,4,6,2,5] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,6,5,2] => [.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,3,5,2,4,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,5,2,6,4] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,5,4,2,6] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,3,5,4,6,2] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,3,5,6,2,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,3,5,6,4,2] => [.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,3,6,2,4,5] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,6,2,5,4] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,6,4,2,5] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,3,6,4,5,2] => [.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,3,6,5,2,4] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,3,6,5,4,2] => [.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,4,2,3,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,4,2,3,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,4,2,5,3,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,2,5,6,3] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,4,2,6,3,5] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,2,6,5,3] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,4,3,5,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,4,3,5,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,4,3,6,2,5] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,4,3,6,5,2] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,4,5,2,6,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,4,5,3,2,6] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,4,5,3,6,2] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,4,5,6,2,3] => [.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,4,5,6,3,2] => [.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,0,0] => 2
[1,4,6,2,3,5] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,4,6,3,2,5] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,4,6,3,5,2] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,4,6,5,2,3] => [.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,4,6,5,3,2] => [.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,5,2,3,4,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,5,2,3,6,4] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,5,2,4,3,6] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,4,6,3] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,5,2,6,3,4] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,6,4,3] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,5,3,2,4,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,5,3,2,6,4] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,5,3,4,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,5,3,6,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,5,4,2,3,6] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,5,4,2,6,3] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,5,4,3,6,2] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,5,4,6,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,5,4,6,3,2] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,5,6,2,3,4] => [.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,5,6,2,4,3] => [.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,5,6,3,2,4] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,5,6,3,4,2] => [.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,5,6,4,3,2] => [.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,6,2,3,4,5] => [.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,6,2,3,5,4] => [.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,6,2,4,3,5] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,4,5,3] => [.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,6,2,5,3,4] => [.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,5,4,3] => [.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,6,3,2,4,5] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,6,3,2,5,4] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,6,3,4,2,5] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,6,3,5,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,6,4,2,3,5] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,6,4,2,5,3] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,6,4,3,2,5] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,6,4,5,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,6,4,5,3,2] => [.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,6,5,2,3,4] => [.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,6,5,2,4,3] => [.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,6,5,3,2,4] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,6,5,3,4,2] => [.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,6,5,4,2,3] => [.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,1,3,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[2,1,3,6,4,5] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,4,5,3,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,1,4,5,6,3] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,1,4,6,3,5] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,1,4,6,5,3] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,1,5,3,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,1,5,3,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,1,5,4,6,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,1,5,6,4,3] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,1,6,3,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,1,6,3,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,6,4,3,5] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,6,5,3,4] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,1,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,3,1,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,1,5,6,4] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,3,1,6,4,5] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,1,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,4,1,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => 3
[2,3,4,6,1,5] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => 3
[2,3,5,1,4,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,5,1,6,4] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,5,4,1,6] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,5,4,6,1] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,5,6,1,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,5,6,4,1] => [[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,6,1,4,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,6,1,5,4] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,6,4,1,5] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,6,4,5,1] => [[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,6,5,1,4] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => 3
[2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,1,3,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,4,1,5,3,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,1,5,6,3] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,4,1,6,3,5] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,1,6,5,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,4,3,1,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,4,3,1,6,5] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,3,5,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,3,5,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,4,3,6,1,5] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,3,6,5,1] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,4,5,1,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,5,1,6,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,5,3,1,6] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,4,5,3,6,1] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => 3
[2,4,5,6,1,3] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,4,5,6,3,1] => [[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => 3
[2,4,6,1,3,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,6,1,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,6,3,1,5] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,4,6,3,5,1] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => 3
[2,4,6,5,1,3] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,4,6,5,3,1] => [[.,[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => 3
[2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,5,1,3,6,4] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,5,1,4,3,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,5,1,4,6,3] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,5,1,6,3,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,5,1,6,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,5,3,1,4,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,5,3,1,6,4] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,5,3,4,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,5,3,4,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,5,3,6,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,5,3,6,4,1] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,5,4,1,3,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,5,4,1,6,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,5,4,3,1,6] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,5,4,3,6,1] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,5,4,6,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,5,4,6,3,1] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3
[2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,5,6,1,4,3] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,5,6,3,1,4] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,5,6,3,4,1] => [[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => 3
[2,5,6,4,1,3] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,5,6,4,3,1] => [[.,[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => 3
[2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,6,1,3,5,4] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,6,1,4,3,5] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,6,1,4,5,3] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,6,1,5,3,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,6,3,1,4,5] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,6,3,1,5,4] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,6,3,4,1,5] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,6,3,4,5,1] => [[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,6,3,5,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,6,3,5,4,1] => [[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,6,4,1,3,5] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,6,4,1,5,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,6,4,3,1,5] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,6,4,3,5,1] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,6,4,5,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,6,4,5,3,1] => [[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => 3
[2,6,5,1,3,4] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,6,5,3,1,4] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,6,5,3,4,1] => [[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,1,2,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,1,2,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,1,2,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[3,1,2,6,4,5] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,1,2,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,1,4,2,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,1,4,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,1,4,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[3,1,5,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,1,5,2,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,5,4,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,1,5,4,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,5,6,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,1,5,6,4,2] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[3,1,6,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,1,6,2,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,6,4,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,1,6,4,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,6,5,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[3,2,1,5,6,4] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[3,2,1,6,4,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[3,2,4,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => 4
[3,2,4,6,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[3,2,4,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => 4
[3,2,5,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[3,2,5,1,6,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[3,2,5,4,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[3,2,5,4,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[3,2,5,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[3,2,5,6,4,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => 4
[3,2,6,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[3,2,6,4,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[3,2,6,4,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,4,1,6,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,1,6,5,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[3,4,2,1,6,5] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => 4
[3,4,2,6,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[3,4,2,6,5,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 4
[3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 4
[3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => 4
[3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,0,0] => 4
[3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,6,1,5,2] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,6,2,1,5] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 4
[3,4,6,2,5,1] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => 4
[3,4,6,5,1,2] => [[.,[.,[[.,.],.]]],[.,.]] => [1,1,0,1,0,1,1,0,0,0,1,0] => 3
[3,4,6,5,2,1] => [[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,1,1,0,0,0,0] => 4
[3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,5,1,2,6,4] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,5,1,4,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,5,1,6,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,5,2,1,4,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[3,5,2,1,6,4] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[3,5,2,4,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[3,5,2,4,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => 4
[3,5,2,6,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[3,5,2,6,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 4
[3,5,4,1,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,5,4,1,6,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,5,4,2,1,6] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 4
[3,5,4,2,6,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 4
[3,5,4,6,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[3,5,4,6,2,1] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0] => 4
[3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,5,6,1,4,2] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,5,6,2,1,4] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 4
[3,5,6,2,4,1] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => 4
[3,5,6,4,1,2] => [[.,[[.,[.,.]],.]],[.,.]] => [1,1,0,1,1,0,1,0,0,0,1,0] => 3
[3,5,6,4,2,1] => [[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,1,1,0,1,0,0,0,0] => 4
[3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,6,1,2,5,4] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,6,1,4,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,6,1,5,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,2,1,4,5] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[3,6,2,4,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[3,6,2,4,5,1] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => 4
[3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 4
[3,6,4,1,2,5] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,6,4,1,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,6,4,2,1,5] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 4
[3,6,4,2,5,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 4
[3,6,4,5,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,1,0,0,1,0] => 3
[3,6,4,5,2,1] => [[[.,[[.,.],[.,.]]],.],.] => [1,1,1,0,1,1,0,0,1,0,0,0] => 4
[3,6,5,1,2,4] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 4
[3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 4
[3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 3
[3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => 4
[4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 3
[4,1,2,3,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[4,1,2,5,3,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,5,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[4,1,2,6,3,5] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,6,5,3] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[4,1,3,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,1,3,2,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,3,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,1,3,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,1,3,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,1,3,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[4,1,5,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,1,5,2,6,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,5,3,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,1,5,3,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,1,5,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[4,1,6,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,1,6,2,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,6,3,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,1,6,3,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,6,5,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[4,2,1,3,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[4,2,1,5,3,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[4,2,1,5,6,3] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[4,2,1,6,3,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[4,2,3,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[4,2,3,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => 4
[4,2,3,6,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[4,2,3,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => 4
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[4,2,5,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[4,2,5,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[4,2,5,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[4,2,5,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => 4
[4,2,6,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[4,2,6,3,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[4,2,6,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[4,3,1,2,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[4,3,1,5,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[4,3,1,5,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[4,3,1,6,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[4,3,2,5,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[4,3,2,5,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => 5
[4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 5
[4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[4,3,5,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[4,3,5,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[4,3,5,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 5
[4,3,5,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[4,3,5,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0] => 5
[4,3,6,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[4,3,6,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[4,3,6,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 5
[4,3,6,5,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 5
[4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,5,1,3,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,5,1,3,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,5,1,6,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[4,5,2,1,6,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => 4
[4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,2,6,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 4
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[4,5,3,1,6,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[4,5,3,2,1,6] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 5
[4,5,3,2,6,1] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => 5
[4,5,3,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,3,6,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => 5
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [1,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,5,6,1,3,2] => [[.,[.,[.,.]]],[[.,.],.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => 3
[4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 4
[4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,1,0,1,0,0,1,0,0] => 4
[4,5,6,3,1,2] => [[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,1,0,1,0,0,0,1,0] => 4
[4,5,6,3,2,1] => [[[[.,[.,[.,.]]],.],.],.] => [1,1,1,1,0,1,0,1,0,0,0,0] => 5
[4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,6,1,2,5,3] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,6,1,3,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,6,1,3,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,6,1,5,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[4,6,2,1,3,5] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[4,6,2,1,5,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[4,6,2,3,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[4,6,2,3,5,1] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => 4
[4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[4,6,2,5,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 4
[4,6,3,1,2,5] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[4,6,3,2,1,5] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 5
[4,6,3,2,5,1] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => 5
[4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[4,6,3,5,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => 5
[4,6,5,1,2,3] => [[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,1,0,0,0,1,0,1,0] => 3
[4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 3
[4,6,5,2,1,3] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 4
[4,6,5,2,3,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 4
[4,6,5,3,1,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 4
[4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0] => 5
[5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 3
[5,1,2,3,6,4] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[5,1,2,4,3,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,1,2,4,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[5,1,2,6,3,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,1,2,6,4,3] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,3,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,1,3,2,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,3,4,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,3,4,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[5,1,3,6,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,3,6,4,2] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[5,1,4,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,1,4,2,6,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,4,3,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,4,3,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,1,4,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,4,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[5,1,6,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,1,6,2,4,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,6,3,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,6,3,4,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,1,6,4,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 3
[5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[5,2,1,3,6,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[5,2,1,4,3,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[5,2,1,4,6,3] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[5,2,1,6,3,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[5,2,3,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[5,2,3,1,6,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[5,2,3,4,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => 4
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[5,2,3,6,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => 4
[5,2,4,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[5,2,4,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[5,2,4,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[5,2,4,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[5,2,4,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => 4
[5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[5,2,6,3,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[5,2,6,3,4,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[5,3,1,2,6,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[5,3,1,4,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[5,3,1,4,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[5,3,1,6,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[5,3,2,1,4,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[5,3,2,1,6,4] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[5,3,2,4,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => 5
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[5,3,2,6,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 5
[5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[5,3,4,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[5,3,4,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[5,3,4,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 5
[5,3,4,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[5,3,4,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0] => 5
[5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[5,3,6,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[5,3,6,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 5
[5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[5,3,6,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 5
[5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[5,4,1,2,6,3] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[5,4,1,3,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[5,4,1,3,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[5,4,1,6,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[5,4,2,1,6,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[5,4,2,3,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[5,4,2,3,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => 5
[5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[5,4,2,6,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 5
[5,4,3,1,2,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[5,4,3,1,6,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => 6
[5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[5,4,3,6,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => 6
[5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[5,4,6,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[5,4,6,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 5
[5,4,6,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[5,4,6,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0] => 6
[5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,6,1,2,4,3] => [[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,1,0,0,1,0,1,1,0,0] => 3
[5,6,1,3,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[5,6,1,3,4,2] => [[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => 3
[5,6,1,4,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,1,0,0,1,1,0,0,1,0] => 3
[5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 3
[5,6,2,1,3,4] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[5,6,2,1,4,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[5,6,2,3,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[5,6,2,3,4,1] => [[[.,[.,.]],[.,[.,.]]],.] => [1,1,1,0,1,0,0,1,0,1,0,0] => 4
[5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[5,6,2,4,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 4
[5,6,3,1,2,4] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[5,6,3,1,4,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[5,6,3,2,1,4] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 5
[5,6,3,2,4,1] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => 5
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[5,6,3,4,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => 5
[5,6,4,1,2,3] => [[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[5,6,4,1,3,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 4
[5,6,4,2,1,3] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 5
[5,6,4,2,3,1] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => 5
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 5
[5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.] => [1,1,1,1,1,0,1,0,0,0,0,0] => 6
[6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0] => 3
[6,1,2,3,5,4] => [[.,.],[.,[.,[[.,.],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,0] => 3
[6,1,2,4,3,5] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,1,2,4,5,3] => [[.,.],[.,[[.,[.,.]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,0] => 3
[6,1,2,5,3,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,1,2,5,4,3] => [[.,.],[.,[[[.,.],.],.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => 3
[6,1,3,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,1,3,2,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,3,4,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,1,3,4,5,2] => [[.,.],[[.,[.,[.,.]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => 3
[6,1,3,5,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,1,3,5,4,2] => [[.,.],[[.,[[.,.],.]],.]] => [1,1,0,0,1,1,0,1,1,0,0,0] => 3
[6,1,4,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,1,4,2,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,4,3,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,4,3,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,4,5,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [1,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,1,4,5,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [1,1,0,0,1,1,1,0,1,0,0,0] => 3
[6,1,5,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]] => [1,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,1,5,2,4,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,5,3,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,5,3,4,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,5,4,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 3
[6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[6,2,1,3,5,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[6,2,1,4,3,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[6,2,1,4,5,3] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[6,2,1,5,3,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[6,2,3,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[6,2,3,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[6,2,3,4,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,0] => 4
[6,2,3,5,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,1,1,0,0,1,0,1,1,0,0,0] => 4
[6,2,4,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[6,2,4,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[6,2,4,3,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[6,2,4,5,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[6,2,4,5,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,1,1,0,0,1,1,0,1,0,0,0] => 4
[6,2,5,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[6,2,5,3,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[6,2,5,3,4,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 4
[6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[6,3,1,2,5,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[6,3,1,4,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[6,3,1,4,5,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[6,3,1,5,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[6,3,2,1,5,4] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[6,3,2,4,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => 5
[6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 5
[6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[6,3,4,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[6,3,4,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[6,3,4,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 5
[6,3,4,5,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[6,3,4,5,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,1,1,1,0,0,1,0,1,0,0,0] => 5
[6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[6,3,5,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[6,3,5,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 5
[6,3,5,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 5
[6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[6,4,1,2,5,3] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[6,4,1,3,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[6,4,1,3,5,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[6,4,1,5,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[6,4,2,1,5,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[6,4,2,3,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[6,4,2,3,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => 5
[6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[6,4,2,5,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 5
[6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[6,4,3,1,5,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => 6
[6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[6,4,3,5,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => 6
[6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[6,4,5,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 4
[6,4,5,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 5
[6,4,5,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 5
[6,4,5,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0] => 6
[6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[6,5,1,2,4,3] => [[[.,.],.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => 4
[6,5,1,3,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[6,5,1,3,4,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[6,5,1,4,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => 4
[6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[6,5,2,1,4,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[6,5,2,3,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[6,5,2,3,4,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,1,1,1,0,0,0,1,0,1,0,0] => 5
[6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 5
[6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[6,5,3,1,4,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[6,5,3,2,4,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => 6
[6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 5
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => 6
[6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => 5
[6,5,4,1,3,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 5
[6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[6,5,4,2,3,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => 6
[6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 6
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0] => 7
[1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,2,3,4,7,5,6] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,2,3,5,4,6,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,3,5,4,7,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,3,5,6,4,7] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,3,5,6,7,4] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,2,3,5,7,4,6] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,3,5,7,6,4] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,2,3,6,4,5,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,3,6,4,7,5] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,3,6,5,4,7] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,3,6,5,7,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,3,6,7,5,4] => [.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2
[1,2,3,7,4,5,6] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,3,7,4,6,5] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,3,7,5,4,6] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,2,3,7,6,4,5] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,2,4,3,5,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,2,4,3,5,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,4,3,6,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,4,3,6,7,5] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,2,4,3,7,5,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,4,3,7,6,5] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,4,5,3,6,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,4,5,3,7,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,4,5,6,3,7] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,2,4,5,6,7,3] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,2,4,5,7,3,6] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,2,4,5,7,6,3] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,2,4,6,3,5,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,4,6,3,7,5] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,4,6,5,3,7] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,2,4,6,5,7,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,2,4,6,7,3,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,2,4,6,7,5,3] => [.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,2,4,7,3,5,6] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,4,7,3,6,5] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,4,7,5,3,6] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,2,4,7,5,6,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,2,4,7,6,3,5] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,2,4,7,6,5,3] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,2,5,3,4,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,2,5,3,4,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,5,3,6,4,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,3,6,7,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,2,5,3,7,4,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,3,7,6,4] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,5,4,3,6,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,5,4,3,7,6] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,5,4,6,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,5,4,6,7,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,2,5,4,7,3,6] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,5,4,7,6,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,2,5,6,3,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,5,6,3,7,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,5,6,4,3,7] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,2,5,6,4,7,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,2,5,6,7,3,4] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,2,5,6,7,4,3] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2
[1,2,5,7,3,4,6] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,5,7,3,6,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,5,7,4,3,6] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,2,5,7,4,6,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,2,5,7,6,3,4] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,2,5,7,6,4,3] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,2,6,3,4,5,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,2,6,3,4,7,5] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,6,3,5,4,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,6,3,5,7,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,2,6,3,7,4,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,6,3,7,5,4] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,6,4,3,5,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,6,4,3,7,5] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,6,4,5,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,6,4,5,7,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,2,6,4,7,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,6,4,7,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,2,6,5,3,4,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,6,5,3,7,4] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,6,5,4,3,7] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,6,5,4,7,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,2,6,5,7,3,4] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,6,5,7,4,3] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,2,6,7,3,4,5] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,6,7,3,5,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,6,7,4,3,5] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,2,6,7,4,5,3] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,2,6,7,5,4,3] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,2,7,3,4,5,6] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,2,7,3,4,6,5] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,7,3,5,4,6] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,7,3,5,6,4] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,2,7,3,6,4,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,7,3,6,5,4] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,7,4,3,5,6] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,7,4,3,6,5] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,7,4,5,3,6] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,2,7,4,6,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,7,4,6,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,2,7,5,3,4,6] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,7,5,3,6,4] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,7,5,4,3,6] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,7,5,4,6,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,2,7,5,6,3,4] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,7,5,6,4,3] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,2,7,6,3,4,5] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,7,6,3,5,4] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,7,6,4,3,5] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,7,6,4,5,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,2,7,6,5,3,4] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,3,2,4,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,3,2,4,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,3,2,4,6,7,5] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,3,2,4,7,5,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,3,2,4,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,3,2,5,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,2,5,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,2,5,6,4,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,2,5,6,7,4] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,3,2,5,7,4,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,2,5,7,6,4] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,3,2,6,4,5,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,2,6,4,7,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,2,6,5,4,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,3,2,6,5,7,4] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,3,2,6,7,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,2,6,7,5,4] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,3,2,7,4,5,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,2,7,4,6,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,2,7,5,4,6] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,3,2,7,5,6,4] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,3,2,7,6,4,5] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,3,2,7,6,5,4] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,3,4,2,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,3,4,2,5,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,4,2,6,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,4,2,6,7,5] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,3,4,2,7,5,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,4,2,7,6,5] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,3,4,5,2,6,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,3,4,5,2,7,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,4,5,6,2,7] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,5,6,7,2] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,3,4,5,7,2,6] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,5,7,6,2] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,3,4,6,2,5,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,3,4,6,2,7,5] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,4,6,5,2,7] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,3,4,6,5,7,2] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[1,3,4,6,7,2,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,6,7,5,2] => [.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[1,3,4,7,2,5,6] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,3,4,7,2,6,5] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,4,7,5,2,6] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,3,4,7,5,6,2] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[1,3,4,7,6,2,5] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,3,4,7,6,5,2] => [.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,3,5,2,4,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,3,5,2,4,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,5,2,6,4,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,5,2,6,7,4] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,3,5,2,7,4,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,5,2,7,6,4] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,3,5,4,2,6,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,5,4,2,7,6] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,5,4,6,2,7] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,5,4,6,7,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[1,3,5,4,7,2,6] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,5,4,7,6,2] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[1,3,5,6,2,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,3,5,6,2,7,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,5,6,4,2,7] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,3,5,6,4,7,2] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[1,3,5,6,7,2,4] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,3,5,6,7,4,2] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[1,3,5,7,2,4,6] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,3,5,7,2,6,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,5,7,4,2,6] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,3,5,7,4,6,2] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[1,3,5,7,6,2,4] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,3,5,7,6,4,2] => [.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[1,3,6,2,4,5,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,3,6,2,4,7,5] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,6,2,5,4,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,6,2,5,7,4] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,3,6,2,7,4,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,6,2,7,5,4] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,3,6,4,2,5,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,6,4,2,7,5] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,6,4,5,2,7] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,6,4,5,7,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[1,3,6,4,7,2,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,6,4,7,5,2] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[1,3,6,5,2,4,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,6,5,2,7,4] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,6,5,4,2,7] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,3,6,5,4,7,2] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,3,6,5,7,2,4] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,6,5,7,4,2] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[1,3,6,7,2,4,5] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,3,6,7,2,5,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,6,7,4,2,5] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,3,6,7,4,5,2] => [.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[1,3,6,7,5,2,4] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,3,6,7,5,4,2] => [.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,3,7,2,4,5,6] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,3,7,2,4,6,5] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,7,2,5,4,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,7,2,5,6,4] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,3,7,2,6,4,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,7,2,6,5,4] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,3,7,4,2,5,6] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,7,4,2,6,5] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,7,4,5,2,6] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,7,4,5,6,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[1,3,7,4,6,2,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,7,4,6,5,2] => [.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[1,3,7,5,2,4,6] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,7,5,2,6,4] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,7,5,4,2,6] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,3,7,5,4,6,2] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,3,7,5,6,2,4] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,7,5,6,4,2] => [.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[1,3,7,6,2,4,5] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,7,6,2,5,4] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,7,6,4,2,5] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,3,7,6,4,5,2] => [.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,3,7,6,5,2,4] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,3,7,6,5,4,2] => [.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,4,2,3,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,4,2,3,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,4,2,3,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,4,2,3,6,7,5] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,4,2,3,7,5,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,4,2,3,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,4,2,5,3,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,2,5,3,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,2,5,6,3,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,2,5,6,7,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,4,2,5,7,3,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,2,5,7,6,3] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,4,2,6,3,5,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,2,6,3,7,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,2,6,5,3,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,2,6,5,7,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,4,2,6,7,3,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,2,6,7,5,3] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,4,2,7,3,5,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,2,7,3,6,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,2,7,5,3,6] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,2,7,5,6,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,4,2,7,6,3,5] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,2,7,6,5,3] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,4,3,2,5,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,4,3,2,5,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,4,3,2,6,5,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,4,3,2,6,7,5] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,4,3,2,7,5,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,4,3,2,7,6,5] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,4,3,5,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,4,3,5,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,3,5,6,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,4,3,5,6,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,4,3,5,7,2,6] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,4,3,5,7,6,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,4,3,6,2,5,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,4,3,6,2,7,5] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,3,6,5,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,4,3,6,5,7,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,4,3,6,7,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,4,3,6,7,5,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[1,4,3,7,2,5,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,4,3,7,2,6,5] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,3,7,5,2,6] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,4,3,7,5,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,4,3,7,6,2,5] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,4,3,7,6,5,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,4,5,2,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,4,5,2,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,4,5,2,6,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,5,2,6,7,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,4,5,2,7,3,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,5,2,7,6,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,4,5,3,2,6,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,4,5,3,2,7,6] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,4,5,3,6,2,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,5,3,6,7,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,4,5,3,7,2,6] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,5,3,7,6,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,4,5,6,2,3,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,4,5,6,2,7,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,4,5,6,3,2,7] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,4,5,6,3,7,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,4,5,6,7,2,3] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,4,5,6,7,3,2] => [.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2
[1,4,5,7,2,3,6] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,4,5,7,2,6,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,4,5,7,3,2,6] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,4,5,7,3,6,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,4,5,7,6,2,3] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,4,5,7,6,3,2] => [.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,4,6,2,3,5,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,4,6,2,3,7,5] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,4,6,2,5,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,6,2,5,7,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,4,6,2,7,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,6,2,7,5,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,4,6,3,2,5,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,4,6,3,2,7,5] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,4,6,3,5,2,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,6,3,5,7,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,4,6,3,7,2,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,6,3,7,5,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,4,6,5,2,3,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,4,6,5,2,7,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,4,6,5,3,2,7] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,4,6,5,3,7,2] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,4,6,5,7,2,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,4,6,5,7,3,2] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,4,6,7,2,3,5] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,4,6,7,2,5,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,4,6,7,3,2,5] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,4,6,7,3,5,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,4,6,7,5,2,3] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,4,6,7,5,3,2] => [.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,4,7,2,3,5,6] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,4,7,2,3,6,5] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,4,7,2,5,3,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,7,2,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,4,7,2,6,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,7,2,6,5,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,4,7,3,2,5,6] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,4,7,3,2,6,5] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,4,7,3,5,2,6] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,7,3,5,6,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,4,7,3,6,2,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,7,3,6,5,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,4,7,5,2,3,6] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,4,7,5,2,6,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,4,7,5,3,2,6] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,4,7,5,3,6,2] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,4,7,5,6,2,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,4,7,5,6,3,2] => [.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,4,7,6,2,3,5] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,4,7,6,2,5,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,4,7,6,3,2,5] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,4,7,6,3,5,2] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,4,7,6,5,2,3] => [.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,4,7,6,5,3,2] => [.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,5,2,3,4,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,5,2,3,4,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,5,2,3,6,4,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,2,3,6,7,4] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,5,2,3,7,4,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,2,3,7,6,4] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,5,2,4,3,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,2,4,3,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,2,4,6,3,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,2,4,6,7,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,5,2,4,7,3,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,2,4,7,6,3] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,5,2,6,3,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,2,6,3,7,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,2,6,4,3,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,2,6,4,7,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,5,2,6,7,3,4] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,2,6,7,4,3] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,5,2,7,3,4,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,2,7,3,6,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,2,7,4,3,6] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,2,7,4,6,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,5,2,7,6,3,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,2,7,6,4,3] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,5,3,2,4,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,5,3,2,4,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,5,3,2,6,4,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,3,2,6,7,4] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,5,3,2,7,4,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,3,2,7,6,4] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,5,3,4,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,3,4,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,3,4,6,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,5,3,4,6,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,5,3,4,7,2,6] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,5,3,4,7,6,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,5,3,6,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,3,6,2,7,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,3,6,4,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,5,3,6,4,7,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,5,3,6,7,2,4] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,5,3,6,7,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[1,5,3,7,2,4,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,3,7,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,3,7,4,2,6] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,5,3,7,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,5,3,7,6,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,5,3,7,6,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,5,4,2,3,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,5,4,2,3,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,5,4,2,6,3,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,4,2,6,7,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,5,4,2,7,3,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,4,2,7,6,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,5,4,3,2,6,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,5,4,3,2,7,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,4,3,6,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,5,4,3,6,7,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,5,4,3,7,2,6] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,5,4,3,7,6,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,5,4,6,2,3,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,4,6,2,7,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,4,6,3,2,7] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,5,4,6,3,7,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,5,4,6,7,2,3] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,5,4,6,7,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,5,4,7,2,3,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,4,7,2,6,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,4,7,3,2,6] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,5,4,7,3,6,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,5,4,7,6,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,5,4,7,6,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,5,6,2,3,4,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,5,6,2,3,7,4] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,5,6,2,4,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,6,2,4,7,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,6,2,7,3,4] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,6,2,7,4,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,5,6,3,2,4,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,5,6,3,2,7,4] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,5,6,3,4,2,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,6,3,4,7,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,5,6,3,7,2,4] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,6,3,7,4,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,5,6,4,2,3,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,5,6,4,2,7,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,5,6,4,3,2,7] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,5,6,4,3,7,2] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,5,6,4,7,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,6,4,7,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,5,6,7,2,4,3] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,5,6,7,3,2,4] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,5,6,7,3,4,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,5,6,7,4,2,3] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,5,6,7,4,3,2] => [.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,5,7,2,3,4,6] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,5,7,2,3,6,4] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,5,7,2,4,3,6] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,7,2,4,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,7,2,6,3,4] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,7,2,6,4,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,5,7,3,2,4,6] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,5,7,3,2,6,4] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,5,7,3,4,2,6] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,7,3,4,6,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,5,7,3,6,2,4] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,7,3,6,4,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,5,7,4,2,3,6] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,5,7,4,2,6,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,5,7,4,3,2,6] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,5,7,4,3,6,2] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,5,7,4,6,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,7,4,6,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,5,7,6,2,3,4] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,5,7,6,2,4,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,5,7,6,3,2,4] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,5,7,6,3,4,2] => [.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,5,7,6,4,2,3] => [.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,5,7,6,4,3,2] => [.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,6,2,3,4,5,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,6,2,3,4,7,5] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,2,3,5,4,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,6,2,3,5,7,4] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,6,2,3,7,4,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,6,2,3,7,5,4] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,6,2,4,3,5,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,2,4,3,7,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,2,4,5,3,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,6,2,4,5,7,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,6,2,4,7,3,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,6,2,4,7,5,3] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,6,2,5,3,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,2,5,3,7,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,2,5,4,3,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,6,2,5,4,7,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,6,2,5,7,3,4] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,6,2,5,7,4,3] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,6,2,7,3,4,5] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,2,7,3,5,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,2,7,4,3,5] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,6,2,7,4,5,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,6,2,7,5,3,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,6,2,7,5,4,3] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,6,3,2,4,5,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,6,3,2,4,7,5] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,6,3,2,5,4,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,3,2,5,7,4] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,6,3,2,7,4,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,3,2,7,5,4] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,6,3,4,2,5,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,3,4,2,7,5] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,3,4,5,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,6,3,4,5,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,6,3,4,7,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,6,3,4,7,5,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,6,3,5,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,3,5,2,7,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,3,5,4,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,6,3,5,4,7,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,6,3,5,7,2,4] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,6,3,5,7,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[1,6,3,7,2,4,5] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,3,7,2,5,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,3,7,4,2,5] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,6,3,7,4,5,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,6,3,7,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,6,3,7,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,6,4,2,3,5,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,6,4,2,3,7,5] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,6,4,2,5,3,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,4,2,5,7,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,6,4,2,7,3,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,4,2,7,5,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,6,4,3,2,5,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,6,4,3,2,7,5] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,4,3,5,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,6,4,3,5,7,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,6,4,3,7,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,6,4,3,7,5,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,6,4,5,2,3,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,4,5,2,7,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,4,5,3,2,7] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,6,4,5,3,7,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,6,4,5,7,2,3] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,6,4,5,7,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,6,4,7,2,3,5] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,4,7,2,5,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,4,7,3,2,5] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,6,4,7,3,5,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,6,4,7,5,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,6,4,7,5,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,6,5,2,3,4,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,6,5,2,3,7,4] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,6,5,2,4,3,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,5,2,4,7,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,6,5,2,7,3,4] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,5,2,7,4,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,6,5,3,2,4,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,6,5,3,2,7,4] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,5,3,4,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,6,5,3,4,7,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,6,5,3,7,2,4] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,6,5,3,7,4,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,6,5,4,2,3,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,6,5,4,2,7,3] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,6,5,4,3,2,7] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,6,5,4,3,7,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,6,5,4,7,2,3] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,6,5,4,7,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,6,5,7,2,3,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,5,7,2,4,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,5,7,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,6,5,7,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,6,5,7,4,2,3] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,6,5,7,4,3,2] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,6,7,2,3,4,5] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,6,7,2,3,5,4] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,6,7,2,4,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,7,2,4,5,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,6,7,2,5,3,4] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,7,2,5,4,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,7,3,2,4,5] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,6,7,3,2,5,4] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,6,7,3,4,2,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,6,7,3,4,5,2] => [.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,6,7,3,5,2,4] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,6,7,3,5,4,2] => [.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,6,7,4,2,3,5] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,6,7,4,2,5,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,6,7,4,3,2,5] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,6,7,4,3,5,2] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,6,7,4,5,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,6,7,5,2,3,4] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,6,7,5,2,4,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,6,7,5,3,2,4] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,6,7,5,3,4,2] => [.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,6,7,5,4,3,2] => [.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,7,2,3,4,5,6] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,7,2,3,4,6,5] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,7,2,3,5,4,6] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,2,3,5,6,4] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,7,2,3,6,4,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,2,3,6,5,4] => [.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,7,2,4,3,5,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,2,4,3,6,5] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,7,2,4,5,3,6] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,2,4,5,6,3] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,7,2,4,6,3,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,2,4,6,5,3] => [.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,7,2,5,3,4,6] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,2,5,3,6,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,7,2,5,4,3,6] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,2,5,4,6,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,7,2,5,6,3,4] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,2,5,6,4,3] => [.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,7,2,6,3,4,5] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,2,6,3,5,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,7,2,6,4,3,5] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,2,6,4,5,3] => [.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,7,2,6,5,3,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,2,6,5,4,3] => [.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,7,3,2,4,5,6] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,3,2,4,6,5] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,3,2,5,4,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,3,2,5,6,4] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,7,3,2,6,4,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,3,2,6,5,4] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,7,3,4,2,5,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,3,4,2,6,5] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,3,4,5,2,6] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,7,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,7,3,4,6,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,7,3,4,6,5,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,7,3,5,2,4,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,3,5,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,3,5,4,2,6] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,7,3,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,7,3,5,6,2,4] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,7,3,5,6,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[1,7,3,6,2,4,5] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,3,6,2,5,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,3,6,4,2,5] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,7,3,6,4,5,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,7,3,6,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,7,3,6,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,7,4,2,3,5,6] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,4,2,3,6,5] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,4,2,5,3,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,4,2,5,6,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,7,4,2,6,3,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,4,2,6,5,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,7,4,3,2,5,6] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,4,3,2,6,5] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,4,3,5,2,6] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,4,3,5,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,7,4,3,6,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,4,3,6,5,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,7,4,5,2,3,6] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,4,5,2,6,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,4,5,3,2,6] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,7,4,5,3,6,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,7,4,5,6,2,3] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,7,4,5,6,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,7,4,6,2,3,5] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,4,6,2,5,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,4,6,3,2,5] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,7,4,6,3,5,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,7,4,6,5,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,7,4,6,5,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,7,5,2,3,4,6] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,5,2,3,6,4] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,5,2,4,3,6] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,5,2,4,6,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,7,5,2,6,3,4] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,5,2,6,4,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,7,5,3,2,4,6] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,5,3,2,6,4] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,5,3,4,2,6] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,5,3,4,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,7,5,3,6,2,4] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,5,3,6,4,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,7,5,4,2,3,6] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,5,4,2,6,3] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,5,4,3,2,6] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,7,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,7,5,4,6,2,3] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,5,4,6,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,7,5,6,2,3,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,5,6,2,4,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,5,6,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,7,5,6,4,2,3] => [.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,7,5,6,4,3,2] => [.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,7,6,2,3,4,5] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,6,2,3,5,4] => [.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,6,2,4,3,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,6,2,4,5,3] => [.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,7,6,2,5,3,4] => [.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,6,2,5,4,3] => [.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,7,6,3,2,4,5] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,6,3,2,5,4] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,6,3,4,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,6,3,4,5,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,7,6,3,5,2,4] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,6,3,5,4,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,7,6,4,2,3,5] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,6,4,2,5,3] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,6,4,3,2,5] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,7,6,4,3,5,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,7,6,4,5,2,3] => [.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,7,6,5,2,3,4] => [.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,6,5,2,4,3] => [.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,6,5,3,2,4] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,7,6,5,3,4,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,7,6,5,4,2,3] => [.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[2,1,3,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[2,1,3,4,7,5,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[2,1,3,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[2,1,3,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,3,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,3,5,6,4,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,3,5,6,7,4] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[2,1,3,5,7,4,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,3,5,7,6,4] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[2,1,3,6,4,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,3,6,4,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,3,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,1,3,6,5,7,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[2,1,3,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,3,6,7,5,4] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[2,1,3,7,4,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,3,7,4,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,3,7,5,4,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,1,3,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[2,1,3,7,6,4,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[2,1,4,3,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,4,3,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[2,1,4,5,3,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,1,4,5,3,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[2,1,4,5,6,3,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[2,1,4,5,6,7,3] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[2,1,4,5,7,3,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[2,1,4,5,7,6,3] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[2,1,4,6,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,1,4,6,3,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[2,1,4,6,5,3,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[2,1,4,6,5,7,3] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[2,1,4,6,7,3,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[2,1,4,6,7,5,3] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[2,1,4,7,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,1,4,7,3,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[2,1,4,7,5,3,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[2,1,4,7,5,6,3] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[2,1,4,7,6,3,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[2,1,4,7,6,5,3] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[2,1,5,3,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,5,3,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[2,1,5,3,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,5,3,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[2,1,5,3,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,5,3,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[2,1,5,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[2,1,5,4,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,5,4,6,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,5,4,6,7,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[2,1,5,4,7,3,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,5,4,7,6,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[2,1,5,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,1,5,6,3,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[2,1,5,6,4,3,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[2,1,5,6,4,7,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[2,1,5,6,7,3,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[2,1,5,6,7,4,3] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[2,1,5,7,3,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,1,5,7,3,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[2,1,5,7,4,3,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[2,1,5,7,4,6,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[2,1,5,7,6,3,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[2,1,5,7,6,4,3] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[2,1,6,3,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,6,3,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[2,1,6,3,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,6,3,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[2,1,6,3,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,6,3,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[2,1,6,4,3,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[2,1,6,4,3,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,6,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,6,4,5,7,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[2,1,6,4,7,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,6,4,7,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[2,1,6,5,3,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[2,1,6,5,3,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,6,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[2,1,6,5,4,7,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[2,1,6,5,7,3,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,6,5,7,4,3] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[2,1,6,7,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,1,6,7,3,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[2,1,6,7,4,3,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[2,1,6,7,4,5,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[2,1,6,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[2,1,6,7,5,4,3] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[2,1,7,3,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,7,3,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[2,1,7,3,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,7,3,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[2,1,7,3,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,7,3,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,4,3,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[2,1,7,4,3,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,7,4,5,3,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,7,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[2,1,7,4,6,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,7,4,6,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[2,1,7,5,3,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[2,1,7,5,3,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,7,5,4,3,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[2,1,7,5,4,6,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[2,1,7,5,6,3,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,7,5,6,4,3] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[2,1,7,6,3,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[2,1,7,6,3,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,7,6,4,3,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[2,1,7,6,4,5,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[2,1,7,6,5,3,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,3,1,4,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,3,1,4,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,3,1,4,6,7,5] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[2,3,1,4,7,5,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,3,1,4,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,3,1,5,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,3,1,5,4,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,3,1,5,6,4,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,3,1,5,6,7,4] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,3,1,5,7,4,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,3,1,5,7,6,4] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,3,1,6,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,3,1,6,4,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,3,1,6,5,4,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,3,1,6,5,7,4] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,3,1,6,7,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,3,1,6,7,5,4] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,3,1,7,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,3,1,7,4,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,3,1,7,5,4,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,3,1,7,5,6,4] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,3,1,7,6,4,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,3,1,7,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,4,1,5,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,3,4,1,6,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,4,1,6,7,5] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,3,4,1,7,5,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,4,1,7,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,4,5,1,7,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[2,3,4,5,7,1,6] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,5,7,6,1] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[2,3,4,6,1,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,4,6,1,7,5] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,6,5,1,7] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,4,6,5,7,1] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,4,6,7,1,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,6,7,5,1] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,4,7,1,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,4,7,1,6,5] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,7,5,1,6] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,4,7,5,6,1] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,4,7,6,1,5] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,4,7,6,5,1] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,5,1,4,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,5,1,4,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,3,5,1,6,4,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,5,1,6,7,4] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,3,5,1,7,4,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,5,1,7,6,4] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,5,4,1,6,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,3,5,4,1,7,6] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,3,5,4,6,1,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,5,4,6,7,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,5,4,7,1,6] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,5,4,7,6,1] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,5,6,1,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,5,6,1,7,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,5,6,4,1,7] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,3,5,6,4,7,1] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3
[2,3,5,6,7,1,4] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,5,6,7,4,1] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3
[2,3,5,7,1,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,5,7,1,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,5,7,4,1,6] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,3,5,7,4,6,1] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3
[2,3,5,7,6,1,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,5,7,6,4,1] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3
[2,3,6,1,4,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,6,1,4,7,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,3,6,1,5,4,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,6,1,5,7,4] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,3,6,1,7,4,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,6,1,7,5,4] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,6,4,1,5,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,3,6,4,1,7,5] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,3,6,4,5,1,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,6,4,5,7,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,6,4,7,1,5] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,6,4,7,5,1] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,6,5,1,4,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,3,6,5,1,7,4] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,3,6,5,4,1,7] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,3,6,5,4,7,1] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,3,6,5,7,1,4] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,6,5,7,4,1] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3
[2,3,6,7,1,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,6,7,1,5,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,6,7,4,1,5] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,3,6,7,4,5,1] => [[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 3
[2,3,6,7,5,1,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,3,6,7,5,4,1] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3
[2,3,7,1,4,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,7,1,4,6,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,3,7,1,5,4,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,7,1,5,6,4] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,3,7,1,6,4,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,3,7,1,6,5,4] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,7,4,1,5,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,3,7,4,1,6,5] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,3,7,4,5,1,6] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,7,4,5,6,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,7,4,6,1,5] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,7,4,6,5,1] => [[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,7,5,1,4,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,3,7,5,1,6,4] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,3,7,5,4,1,6] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,3,7,5,4,6,1] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,3,7,5,6,1,4] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,7,5,6,4,1] => [[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3
[2,3,7,6,1,4,5] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,3,7,6,1,5,4] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,3,7,6,4,1,5] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,3,7,6,4,5,1] => [[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,3,7,6,5,1,4] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,3,7,6,5,4,1] => [[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,1,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,4,1,3,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,4,1,3,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,4,1,3,6,7,5] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[2,4,1,3,7,5,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,4,1,3,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,4,1,5,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,4,1,5,3,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,4,1,5,6,3,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,4,1,5,6,7,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,4,1,5,7,3,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,4,1,5,7,6,3] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,4,1,6,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,4,1,6,3,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,4,1,6,5,3,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,4,1,6,5,7,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,4,1,6,7,3,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,4,1,6,7,5,3] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,4,1,7,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,4,1,7,3,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,4,1,7,5,3,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,4,1,7,5,6,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,4,1,7,6,3,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,4,1,7,6,5,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,4,3,1,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,4,3,1,5,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,4,3,1,6,5,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,4,3,1,6,7,5] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,4,3,1,7,5,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,4,3,1,7,6,5] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,4,3,5,1,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,4,3,5,1,7,6] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,4,3,5,6,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,4,3,5,6,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,4,3,5,7,1,6] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,4,3,5,7,6,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,4,3,6,1,5,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,4,3,6,1,7,5] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,4,3,6,5,1,7] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,4,3,6,5,7,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,4,3,6,7,1,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,4,3,6,7,5,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,4,3,7,1,5,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,4,3,7,1,6,5] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,4,3,7,5,1,6] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,4,3,7,5,6,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,4,3,7,6,1,5] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,4,3,7,6,5,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,4,5,1,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,5,1,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,4,5,1,6,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,5,1,6,7,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,4,5,1,7,3,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,5,1,7,6,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,4,5,3,1,6,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,4,5,3,1,7,6] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,4,5,3,6,1,7] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,4,5,3,6,7,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,4,5,3,7,1,6] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,4,5,3,7,6,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,4,5,6,1,3,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,5,6,1,7,3] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,5,6,3,1,7] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,4,5,6,3,7,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3
[2,4,5,6,7,1,3] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,4,5,6,7,3,1] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 3
[2,4,5,7,1,3,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,5,7,1,6,3] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,5,7,3,1,6] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,4,5,7,3,6,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3
[2,4,5,7,6,1,3] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,4,5,7,6,3,1] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3
[2,4,6,1,3,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,6,1,3,7,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,4,6,1,5,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,6,1,5,7,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,4,6,1,7,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,6,1,7,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,4,6,3,1,5,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,4,6,3,1,7,5] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,4,6,3,5,1,7] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,4,6,3,5,7,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,4,6,3,7,1,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,4,6,3,7,5,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,4,6,5,1,3,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,4,6,5,1,7,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,6,5,3,1,7] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3
[2,4,6,5,3,7,1] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3
[2,4,6,5,7,1,3] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,6,5,7,3,1] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3
[2,4,6,7,1,3,5] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,6,7,1,5,3] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,6,7,3,1,5] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,4,6,7,3,5,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3
[2,4,6,7,5,1,3] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,4,6,7,5,3,1] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3
[2,4,7,1,3,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,7,1,3,6,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,4,7,1,5,3,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,7,1,5,6,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,4,7,1,6,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,7,1,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,4,7,3,1,5,6] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,4,7,3,1,6,5] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,4,7,3,5,1,6] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,4,7,3,5,6,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,4,7,3,6,1,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,4,7,3,6,5,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,4,7,5,1,3,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,4,7,5,1,6,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,7,5,3,1,6] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3
[2,4,7,5,3,6,1] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3
[2,4,7,5,6,1,3] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,7,5,6,3,1] => [[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3
[2,4,7,6,1,3,5] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,4,7,6,1,5,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,7,6,3,1,5] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3
[2,4,7,6,3,5,1] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3
[2,4,7,6,5,1,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,4,7,6,5,3,1] => [[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3
[2,5,1,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,5,1,3,4,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,5,1,3,6,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,5,1,3,6,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[2,5,1,3,7,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,5,1,3,7,6,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,5,1,4,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,5,1,4,3,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,5,1,4,6,3,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,5,1,4,6,7,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,5,1,4,7,3,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,5,1,4,7,6,3] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,5,1,6,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,5,1,6,3,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,5,1,6,4,3,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,1,6,4,7,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,1,6,7,3,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,5,1,6,7,4,3] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,5,1,7,3,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,5,1,7,3,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,5,1,7,4,3,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,1,7,4,6,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,1,7,6,3,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,1,7,6,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,3,1,4,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,5,3,1,4,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,5,3,1,6,4,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,5,3,1,6,7,4] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,5,3,1,7,4,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,5,3,1,7,6,4] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,3,4,1,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,5,3,4,1,7,6] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,5,3,4,6,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,5,3,4,6,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,5,3,4,7,1,6] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,5,3,4,7,6,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,5,3,6,1,4,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,5,3,6,1,7,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,5,3,6,4,1,7] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,5,3,6,4,7,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,5,3,6,7,1,4] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,5,3,6,7,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,5,3,7,1,4,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,5,3,7,1,6,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,5,3,7,4,1,6] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,5,3,7,4,6,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,5,3,7,6,1,4] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,5,3,7,6,4,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,5,4,1,3,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,5,4,1,3,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,5,4,1,6,3,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,5,4,1,6,7,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,5,4,1,7,3,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,5,4,1,7,6,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,4,3,1,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,5,4,3,1,7,6] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,5,4,3,6,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,5,4,3,6,7,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[2,5,4,3,7,1,6] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,5,4,3,7,6,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,5,4,6,1,3,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,5,4,6,1,7,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,5,4,6,3,1,7] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,5,4,6,3,7,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,5,4,6,7,1,3] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,5,4,6,7,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3
[2,5,4,7,1,3,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,5,4,7,1,6,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,5,4,7,3,1,6] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,5,4,7,3,6,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,5,4,7,6,1,3] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,5,4,7,6,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3
[2,5,6,1,3,4,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,5,6,1,3,7,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,5,6,1,4,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,5,6,1,4,7,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,5,6,1,7,3,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,5,6,1,7,4,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,5,6,3,1,4,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,5,6,3,1,7,4] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,5,6,3,4,1,7] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,5,6,3,4,7,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,5,6,3,7,1,4] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,5,6,3,7,4,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,5,6,4,1,3,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,5,6,4,1,7,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,5,6,4,3,1,7] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,5,6,4,3,7,1] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[2,5,6,4,7,1,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,5,6,4,7,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3
[2,5,6,7,1,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,5,6,7,1,4,3] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,5,6,7,3,1,4] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,5,6,7,3,4,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 3
[2,5,6,7,4,1,3] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,5,6,7,4,3,1] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 3
[2,5,7,1,3,4,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,5,7,1,3,6,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,5,7,1,4,3,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,5,7,1,4,6,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,5,7,1,6,3,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,5,7,1,6,4,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,5,7,3,1,4,6] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,5,7,3,1,6,4] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,5,7,3,4,1,6] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,5,7,3,4,6,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,5,7,3,6,1,4] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,5,7,3,6,4,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,5,7,4,1,3,6] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,5,7,4,1,6,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,5,7,4,3,1,6] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,5,7,4,3,6,1] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[2,5,7,4,6,1,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,5,7,4,6,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3
[2,5,7,6,1,3,4] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,5,7,6,1,4,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,5,7,6,3,1,4] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3
[2,5,7,6,3,4,1] => [[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3
[2,5,7,6,4,1,3] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3
[2,5,7,6,4,3,1] => [[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3
[2,6,1,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,6,1,3,4,7,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,6,1,3,5,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,6,1,3,5,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[2,6,1,3,7,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,6,1,3,7,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,1,4,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,6,1,4,3,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,6,1,4,5,3,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,6,1,4,5,7,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,6,1,4,7,3,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,6,1,4,7,5,3] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,6,1,5,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,6,1,5,3,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,6,1,5,4,3,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,6,1,5,4,7,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,6,1,5,7,3,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,6,1,5,7,4,3] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,6,1,7,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,6,1,7,3,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,6,1,7,4,3,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,6,1,7,4,5,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,6,1,7,5,3,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,6,1,7,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,6,3,1,4,5,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,6,3,1,4,7,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,6,3,1,5,4,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,3,1,5,7,4] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,6,3,1,7,4,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,3,1,7,5,4] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,3,4,1,5,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,6,3,4,1,7,5] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,6,3,4,5,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,6,3,4,5,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,6,3,4,7,1,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,6,3,4,7,5,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,6,3,5,1,4,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,6,3,5,1,7,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,6,3,5,4,1,7] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,3,5,4,7,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,6,3,5,7,1,4] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,6,3,5,7,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,6,3,7,1,4,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,6,3,7,1,5,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,6,3,7,4,1,5] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,3,7,4,5,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,6,3,7,5,1,4] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,3,7,5,4,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,4,1,3,5,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,6,4,1,3,7,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,6,4,1,5,3,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,4,1,5,7,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,6,4,1,7,3,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,4,1,7,5,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,4,3,1,5,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,6,4,3,1,7,5] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,6,4,3,5,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,6,4,3,5,7,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[2,6,4,3,7,1,5] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,6,4,3,7,5,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,6,4,5,1,3,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,6,4,5,1,7,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,6,4,5,3,1,7] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,6,4,5,3,7,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,6,4,5,7,1,3] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,6,4,5,7,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3
[2,6,4,7,1,3,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,6,4,7,1,5,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,6,4,7,3,1,5] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,6,4,7,3,5,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,6,4,7,5,1,3] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,4,7,5,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3
[2,6,5,1,3,4,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,6,5,1,3,7,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,6,5,1,4,3,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,5,1,4,7,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,6,5,1,7,3,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,5,1,7,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,5,3,1,4,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,6,5,3,1,7,4] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,6,5,3,4,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,6,5,3,4,7,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[2,6,5,3,7,1,4] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,6,5,3,7,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,6,5,4,1,3,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,6,5,4,1,7,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,6,5,4,3,1,7] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,6,5,4,3,7,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[2,6,5,4,7,1,3] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,6,5,4,7,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 3
[2,6,5,7,1,3,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,6,5,7,1,4,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,6,5,7,3,1,4] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,6,5,7,3,4,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,6,5,7,4,1,3] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,6,5,7,4,3,1] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3
[2,6,7,1,3,4,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,6,7,1,3,5,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,6,7,1,4,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,6,7,1,4,5,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,6,7,1,5,3,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,6,7,1,5,4,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,6,7,3,1,4,5] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,6,7,3,1,5,4] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,6,7,3,4,1,5] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,6,7,3,4,5,1] => [[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,6,7,3,5,1,4] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,6,7,3,5,4,1] => [[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,7,4,1,3,5] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,6,7,4,1,5,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,6,7,4,3,1,5] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,6,7,4,3,5,1] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[2,6,7,4,5,1,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,6,7,4,5,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3
[2,6,7,5,1,3,4] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,6,7,5,1,4,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,6,7,5,3,1,4] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,6,7,5,3,4,1] => [[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[2,6,7,5,4,1,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,6,7,5,4,3,1] => [[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 3
[2,7,1,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,7,1,3,4,6,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,7,1,3,5,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,7,1,3,5,6,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[2,7,1,3,6,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,7,1,3,6,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,7,1,4,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,7,1,4,3,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,7,1,4,5,3,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,7,1,4,5,6,3] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,7,1,4,6,3,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,7,1,4,6,5,3] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,7,1,5,3,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,7,1,5,3,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,7,1,5,4,3,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,7,1,5,4,6,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,7,1,5,6,3,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,7,1,5,6,4,3] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,7,1,6,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,7,1,6,3,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,7,1,6,4,3,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,7,1,6,4,5,3] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,7,1,6,5,3,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,7,3,1,4,5,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,7,3,1,4,6,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,7,3,1,5,4,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,7,3,1,5,6,4] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,3,1,6,4,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,7,3,1,6,5,4] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,3,4,1,5,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,7,3,4,1,6,5] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,3,4,5,1,6] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,7,3,4,5,6,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,7,3,4,6,1,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,7,3,4,6,5,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,7,3,5,1,4,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,7,3,5,1,6,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,3,5,4,1,6] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,7,3,5,4,6,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,7,3,5,6,1,4] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,7,3,5,6,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,7,3,6,1,4,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,7,3,6,1,5,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,3,6,4,1,5] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,7,3,6,4,5,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,7,3,6,5,1,4] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,7,3,6,5,4,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,7,4,1,3,5,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,7,4,1,3,6,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,7,4,1,5,3,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,7,4,1,5,6,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,4,1,6,3,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,7,4,1,6,5,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,4,3,1,5,6] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,7,4,3,1,6,5] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,7,4,3,5,1,6] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,7,4,3,5,6,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,4,3,6,1,5] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,7,4,3,6,5,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,4,5,1,3,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,7,4,5,1,6,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,4,5,3,1,6] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,7,4,5,3,6,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,7,4,5,6,1,3] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,7,4,5,6,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3
[2,7,4,6,1,3,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,7,4,6,1,5,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,4,6,3,1,5] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,7,4,6,3,5,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,7,4,6,5,1,3] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,7,4,6,5,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 3
[2,7,5,1,3,4,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,7,5,1,3,6,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,7,5,1,4,3,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,7,5,1,4,6,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,5,1,6,3,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,7,5,1,6,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,3,1,4,6] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,7,5,3,1,6,4] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,7,5,3,4,1,6] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,7,5,3,4,6,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,5,3,6,1,4] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,7,5,3,6,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,5,4,1,3,6] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,7,5,4,1,6,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,7,5,4,3,1,6] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,7,5,4,3,6,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[2,7,5,4,6,1,3] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,7,5,4,6,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 3
[2,7,5,6,1,3,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,7,5,6,1,4,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,5,6,3,1,4] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,7,5,6,3,4,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,7,5,6,4,1,3] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,7,5,6,4,3,1] => [[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3
[2,7,6,1,3,4,5] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,7,6,1,3,5,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,7,6,1,4,3,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,7,6,1,4,5,3] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,6,1,5,3,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,6,3,1,4,5] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,7,6,3,1,5,4] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,7,6,3,4,1,5] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,7,6,3,4,5,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,6,3,5,1,4] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,7,6,3,5,4,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,6,4,1,3,5] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,7,6,4,1,5,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,7,6,4,3,1,5] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,7,6,4,3,5,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[2,7,6,4,5,1,3] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,7,6,4,5,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 3
[2,7,6,5,1,3,4] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,7,6,5,3,1,4] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,7,6,5,3,4,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 3
[3,1,2,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[3,1,2,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[3,1,2,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[3,1,2,4,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[3,1,2,4,7,5,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[3,1,2,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[3,1,2,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,2,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,1,2,5,6,4,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,2,5,6,7,4] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[3,1,2,5,7,4,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,2,5,7,6,4] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[3,1,2,6,4,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,2,6,4,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,1,2,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,1,2,6,5,7,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[3,1,2,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,2,6,7,5,4] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[3,1,2,7,4,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,2,7,4,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,1,2,7,5,4,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,1,2,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[3,1,2,7,6,4,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,1,2,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[3,1,4,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,4,2,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[3,1,4,2,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,4,2,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[3,1,4,2,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,4,2,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[3,1,4,5,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[3,1,4,5,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[3,1,4,5,6,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[3,1,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[3,1,4,5,7,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[3,1,4,5,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[3,1,4,6,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[3,1,4,6,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[3,1,4,6,5,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[3,1,4,6,5,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[3,1,4,6,7,2,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[3,1,4,6,7,5,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[3,1,4,7,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[3,1,4,7,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[3,1,4,7,5,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[3,1,4,7,5,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[3,1,4,7,6,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[3,1,4,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[3,1,5,2,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,5,2,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[3,1,5,2,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,5,2,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[3,1,5,2,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,5,2,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[3,1,5,4,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,1,5,4,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[3,1,5,4,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,5,4,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[3,1,5,4,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,5,4,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[3,1,5,6,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[3,1,5,6,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[3,1,5,6,4,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[3,1,5,6,4,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,1,5,6,7,2,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[3,1,5,6,7,4,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[3,1,5,7,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[3,1,5,7,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[3,1,5,7,4,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[3,1,5,7,4,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,1,5,7,6,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[3,1,5,7,6,4,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[3,1,6,2,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,6,2,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[3,1,6,2,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,6,2,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[3,1,6,2,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,6,2,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[3,1,6,4,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,1,6,4,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[3,1,6,4,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,6,4,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[3,1,6,4,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,6,4,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[3,1,6,5,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,1,6,5,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[3,1,6,5,4,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[3,1,6,5,4,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[3,1,6,5,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,6,5,7,4,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[3,1,6,7,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[3,1,6,7,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[3,1,6,7,4,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[3,1,6,7,4,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,1,6,7,5,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[3,1,6,7,5,4,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[3,1,7,2,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,7,2,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[3,1,7,2,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,7,2,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[3,1,7,2,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,7,2,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[3,1,7,4,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,1,7,4,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[3,1,7,4,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,7,4,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[3,1,7,4,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,7,4,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[3,1,7,5,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,1,7,5,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[3,1,7,5,4,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[3,1,7,5,4,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[3,1,7,5,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,7,5,6,4,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[3,1,7,6,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,1,7,6,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[3,1,7,6,4,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[3,1,7,6,4,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[3,1,7,6,5,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[3,2,1,4,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[3,2,1,4,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[3,2,1,4,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[3,2,1,4,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[3,2,1,4,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[3,2,1,5,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[3,2,1,5,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,1,5,6,4,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[3,2,1,5,6,7,4] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[3,2,1,5,7,4,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[3,2,1,5,7,6,4] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[3,2,1,6,4,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[3,2,1,6,4,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,1,6,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[3,2,1,6,5,7,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[3,2,1,6,7,4,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[3,2,1,6,7,5,4] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[3,2,1,7,4,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[3,2,1,7,4,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[3,2,1,7,5,4,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[3,2,1,7,5,6,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[3,2,1,7,6,4,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[3,2,4,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[3,2,4,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[3,2,4,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[3,2,4,1,6,7,5] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,2,4,1,7,5,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[3,2,4,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[3,2,4,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[3,2,4,5,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[3,2,4,5,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[3,2,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[3,2,4,5,7,1,6] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[3,2,4,5,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4
[3,2,4,6,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[3,2,4,6,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[3,2,4,6,5,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[3,2,4,6,5,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[3,2,4,6,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[3,2,4,6,7,5,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4
[3,2,4,7,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[3,2,4,7,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[3,2,4,7,5,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[3,2,4,7,5,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[3,2,4,7,6,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[3,2,4,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[3,2,5,1,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[3,2,5,1,4,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[3,2,5,1,6,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[3,2,5,1,6,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,2,5,1,7,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[3,2,5,1,7,6,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[3,2,5,4,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[3,2,5,4,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[3,2,5,4,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[3,2,5,4,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[3,2,5,4,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[3,2,5,4,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[3,2,5,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[3,2,5,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[3,2,5,6,4,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[3,2,5,6,4,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[3,2,5,6,7,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[3,2,5,6,7,4,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4
[3,2,5,7,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[3,2,5,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[3,2,5,7,4,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[3,2,5,7,4,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[3,2,5,7,6,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[3,2,5,7,6,4,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[3,2,6,1,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[3,2,6,1,4,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[3,2,6,1,5,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[3,2,6,1,5,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,2,6,1,7,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[3,2,6,1,7,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[3,2,6,4,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[3,2,6,4,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[3,2,6,4,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[3,2,6,4,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[3,2,6,4,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[3,2,6,4,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[3,2,6,5,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[3,2,6,5,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[3,2,6,5,4,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[3,2,6,5,4,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[3,2,6,5,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[3,2,6,5,7,4,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[3,2,6,7,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[3,2,6,7,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[3,2,6,7,4,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[3,2,6,7,4,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[3,2,6,7,5,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[3,2,6,7,5,4,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[3,2,7,1,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[3,2,7,1,4,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[3,2,7,1,5,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[3,2,7,1,5,6,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,2,7,1,6,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[3,2,7,4,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[3,2,7,4,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[3,2,7,4,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[3,2,7,4,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[3,2,7,4,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[3,2,7,4,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[3,2,7,5,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[3,2,7,5,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[3,2,7,5,4,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[3,2,7,5,4,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[3,2,7,5,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[3,2,7,5,6,4,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[3,2,7,6,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[3,2,7,6,4,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[3,2,7,6,4,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,4,1,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,4,1,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,4,1,2,6,7,5] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[3,4,1,2,7,5,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,4,1,2,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[3,4,1,5,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,4,1,5,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,4,1,5,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,4,1,5,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,4,1,5,7,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,4,1,5,7,6,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[3,4,1,6,2,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,4,1,6,2,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,4,1,6,5,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,4,1,6,5,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,4,1,6,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,4,1,6,7,5,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[3,4,1,7,2,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,4,1,7,2,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,4,1,7,5,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,4,1,7,5,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,4,1,7,6,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,4,1,7,6,5,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,2,1,5,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,4,2,1,5,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[3,4,2,1,6,5,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[3,4,2,1,6,7,5] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[3,4,2,1,7,5,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[3,4,2,1,7,6,5] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[3,4,2,5,1,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,4,2,5,1,7,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,4,2,5,6,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,4,2,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[3,4,2,5,7,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,4,2,5,7,6,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[3,4,2,6,1,5,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,4,2,6,1,7,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,4,2,6,5,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,4,2,6,5,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[3,4,2,6,7,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,4,2,6,7,5,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[3,4,2,7,1,5,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,4,2,7,1,6,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,4,2,7,5,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,4,2,7,5,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[3,4,2,7,6,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,4,2,7,6,5,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[3,4,5,1,2,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,4,5,1,2,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,4,5,1,6,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,5,1,6,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,4,5,1,7,2,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,5,1,7,6,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,4,5,2,1,6,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[3,4,5,2,1,7,6] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,4,5,2,6,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,4,5,2,6,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[3,4,5,2,7,1,6] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,4,5,2,7,6,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,5,6,1,7,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,5,6,2,1,7] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[3,4,5,6,2,7,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[3,4,5,6,7,1,2] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,4,5,6,7,2,1] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 4
[3,4,5,7,1,2,6] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,5,7,1,6,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,5,7,2,1,6] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[3,4,5,7,2,6,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[3,4,5,7,6,1,2] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 3
[3,4,5,7,6,2,1] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 4
[3,4,6,1,2,5,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,4,6,1,2,7,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,4,6,1,5,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,6,1,5,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,4,6,1,7,2,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,6,1,7,5,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,4,6,2,1,5,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[3,4,6,2,1,7,5] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,4,6,2,5,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,4,6,2,5,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[3,4,6,2,7,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,4,6,2,7,5,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[3,4,6,5,1,2,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,4,6,5,1,7,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,4,6,5,2,1,7] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[3,4,6,5,2,7,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[3,4,6,5,7,1,2] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[3,4,6,5,7,2,1] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 4
[3,4,6,7,1,2,5] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,6,7,1,5,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,6,7,2,1,5] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[3,4,6,7,2,5,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[3,4,6,7,5,1,2] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 3
[3,4,6,7,5,2,1] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4
[3,4,7,1,2,5,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,4,7,1,2,6,5] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,4,7,1,5,2,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,7,1,5,6,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,4,7,1,6,2,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,7,1,6,5,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,4,7,2,1,5,6] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[3,4,7,2,1,6,5] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,4,7,2,5,1,6] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,4,7,2,5,6,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[3,4,7,2,6,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,4,7,2,6,5,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[3,4,7,5,1,2,6] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,4,7,5,1,6,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,4,7,5,2,1,6] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[3,4,7,5,2,6,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[3,4,7,5,6,1,2] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 3
[3,4,7,5,6,2,1] => [[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 4
[3,4,7,6,1,2,5] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,4,7,6,1,5,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,4,7,6,2,1,5] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[3,4,7,6,2,5,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[3,4,7,6,5,1,2] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[3,4,7,6,5,2,1] => [[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 4
[3,5,1,2,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,5,1,2,4,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,5,1,2,6,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,5,1,2,6,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[3,5,1,2,7,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,5,1,2,7,6,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[3,5,1,4,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,5,1,4,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,5,1,4,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,5,1,4,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,5,1,4,7,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,5,1,4,7,6,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[3,5,1,6,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,5,1,6,2,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,5,1,6,4,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,5,1,6,4,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,5,1,6,7,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,5,1,6,7,4,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[3,5,1,7,2,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,5,1,7,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,5,1,7,4,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,5,1,7,4,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,5,1,7,6,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,5,1,7,6,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,5,2,1,4,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,5,2,1,4,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[3,5,2,1,6,4,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[3,5,2,1,6,7,4] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[3,5,2,1,7,4,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[3,5,2,1,7,6,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[3,5,2,4,1,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,5,2,4,1,7,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,5,2,4,6,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,5,2,4,6,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[3,5,2,4,7,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,5,2,4,7,6,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[3,5,2,6,1,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,5,2,6,1,7,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,5,2,6,4,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,5,2,6,4,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[3,5,2,6,7,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,5,2,6,7,4,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[3,5,2,7,1,4,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,5,2,7,1,6,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,5,2,7,4,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,5,2,7,4,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[3,5,2,7,6,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,5,2,7,6,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[3,5,4,1,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,5,4,1,2,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,5,4,1,6,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,5,4,1,6,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,5,4,1,7,2,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,5,4,1,7,6,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,5,4,2,1,6,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[3,5,4,2,1,7,6] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[3,5,4,2,6,1,7] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,5,4,2,6,7,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[3,5,4,2,7,1,6] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,5,4,2,7,6,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[3,5,4,6,1,2,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,5,4,6,1,7,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,4,6,2,1,7] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[3,5,4,6,2,7,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[3,5,4,6,7,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,5,4,6,7,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 4
[3,5,4,7,1,2,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,5,4,7,1,6,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,4,7,2,1,6] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[3,5,4,7,2,6,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[3,5,4,7,6,1,2] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,4,7,6,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[3,5,6,1,2,4,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,5,6,1,2,7,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,5,6,1,4,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,5,6,1,4,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,5,6,1,7,2,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,5,6,1,7,4,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,5,6,2,1,4,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[3,5,6,2,1,7,4] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,5,6,2,4,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,5,6,2,4,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[3,5,6,2,7,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,5,6,2,7,4,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[3,5,6,4,1,2,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,5,6,4,1,7,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[3,5,6,4,2,1,7] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[3,5,6,4,2,7,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[3,5,6,4,7,1,2] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,5,6,4,7,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[3,5,6,7,1,2,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,5,6,7,1,4,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,5,6,7,2,1,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[3,5,6,7,2,4,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[3,5,6,7,4,1,2] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 3
[3,5,6,7,4,2,1] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4
[3,5,7,1,2,4,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,5,7,1,2,6,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,5,7,1,4,2,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,5,7,1,4,6,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,5,7,1,6,2,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,5,7,1,6,4,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,5,7,2,1,4,6] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[3,5,7,2,1,6,4] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,5,7,2,4,1,6] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,5,7,2,4,6,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[3,5,7,2,6,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,5,7,2,6,4,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[3,5,7,4,1,2,6] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,5,7,4,1,6,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[3,5,7,4,2,1,6] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[3,5,7,4,2,6,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[3,5,7,4,6,1,2] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,5,7,4,6,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[3,5,7,6,1,2,4] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,5,7,6,1,4,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,5,7,6,2,1,4] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[3,5,7,6,2,4,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[3,5,7,6,4,1,2] => [[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3
[3,5,7,6,4,2,1] => [[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4
[3,6,1,2,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,6,1,2,4,7,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,6,1,2,5,4,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,6,1,2,5,7,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[3,6,1,2,7,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,6,1,2,7,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[3,6,1,4,2,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,6,1,4,2,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,6,1,4,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,6,1,4,5,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,6,1,4,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,6,1,4,7,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[3,6,1,5,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,6,1,5,2,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,6,1,5,4,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,6,1,5,4,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,6,1,5,7,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,6,1,5,7,4,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[3,6,1,7,2,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,6,1,7,2,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,6,1,7,4,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,6,1,7,4,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,6,1,7,5,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,6,1,7,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,6,2,1,4,5,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,6,2,1,4,7,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[3,6,2,1,5,4,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[3,6,2,1,5,7,4] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[3,6,2,1,7,4,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[3,6,2,1,7,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[3,6,2,4,1,5,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,6,2,4,1,7,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,6,2,4,5,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,6,2,4,5,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[3,6,2,4,7,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,6,2,4,7,5,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[3,6,2,5,1,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,6,2,5,1,7,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,6,2,5,4,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,6,2,5,4,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[3,6,2,5,7,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,6,2,5,7,4,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[3,6,2,7,1,4,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,6,2,7,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,6,2,7,4,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,6,2,7,4,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[3,6,2,7,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,6,2,7,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[3,6,4,1,2,5,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,6,4,1,2,7,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,6,4,1,5,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,6,4,1,5,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,6,4,1,7,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,6,4,1,7,5,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,4,2,1,5,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[3,6,4,2,1,7,5] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[3,6,4,2,5,1,7] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,6,4,2,5,7,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[3,6,4,2,7,1,5] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,6,4,2,7,5,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,4,5,1,2,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,6,4,5,1,7,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,4,5,2,1,7] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[3,6,4,5,2,7,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[3,6,4,5,7,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,6,4,5,7,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 4
[3,6,4,7,1,2,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,6,4,7,1,5,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,4,7,2,1,5] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[3,6,4,7,2,5,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[3,6,4,7,5,1,2] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,4,7,5,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[3,6,5,1,2,4,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,6,5,1,2,7,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,6,5,1,4,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,6,5,1,4,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,6,5,1,7,2,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,6,5,1,7,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,5,2,1,4,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[3,6,5,2,1,7,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[3,6,5,2,4,1,7] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,6,5,2,4,7,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[3,6,5,2,7,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,6,5,2,7,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[3,6,5,4,1,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[3,6,5,4,1,7,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[3,6,5,4,2,1,7] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4
[3,6,5,4,2,7,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[3,6,5,4,7,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,6,5,4,7,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 4
[3,6,5,7,1,2,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,6,5,7,1,4,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,5,7,2,1,4] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[3,6,5,7,2,4,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[3,6,5,7,4,1,2] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[3,6,5,7,4,2,1] => [[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4
[3,6,7,1,2,4,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,6,7,1,2,5,4] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,6,7,1,4,2,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,6,7,1,4,5,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,6,7,1,5,2,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,6,7,1,5,4,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,7,2,1,4,5] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[3,6,7,2,1,5,4] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,6,7,2,4,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,6,7,2,4,5,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[3,6,7,2,5,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[3,6,7,2,5,4,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[3,6,7,4,1,2,5] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,6,7,4,1,5,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[3,6,7,4,2,1,5] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[3,6,7,4,2,5,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[3,6,7,4,5,1,2] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,6,7,4,5,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[3,6,7,5,1,2,4] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,6,7,5,1,4,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[3,6,7,5,2,1,4] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[3,6,7,5,2,4,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[3,6,7,5,4,1,2] => [[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[3,6,7,5,4,2,1] => [[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 4
[3,7,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,7,1,2,4,6,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,7,1,2,5,4,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,7,1,2,5,6,4] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[3,7,1,2,6,4,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,7,1,2,6,5,4] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[3,7,1,4,2,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,7,1,4,2,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,7,1,4,5,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,7,1,4,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,7,1,4,6,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,7,1,4,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[3,7,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,7,1,5,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,7,1,5,4,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,7,1,5,4,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,7,1,5,6,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,7,1,5,6,4,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[3,7,1,6,2,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,7,1,6,2,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,7,1,6,4,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,7,1,6,4,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,7,1,6,5,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,7,2,1,4,5,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,7,2,1,4,6,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[3,7,2,1,5,4,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[3,7,2,1,5,6,4] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[3,7,2,1,6,4,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[3,7,2,4,1,5,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,7,2,4,1,6,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,7,2,4,5,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,7,2,4,5,6,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[3,7,2,4,6,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,7,2,4,6,5,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[3,7,2,5,1,4,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,7,2,5,1,6,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,7,2,5,4,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,7,2,5,4,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[3,7,2,5,6,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[3,7,2,5,6,4,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[3,7,2,6,1,4,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[3,7,2,6,4,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,7,2,6,4,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[3,7,4,1,2,5,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,7,4,1,2,6,5] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,7,4,1,5,2,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,7,4,1,5,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,7,4,1,6,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,7,4,1,6,5,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,7,4,2,1,5,6] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[3,7,4,2,1,6,5] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[3,7,4,2,5,1,6] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,7,4,2,5,6,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[3,7,4,2,6,1,5] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,7,4,2,6,5,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[3,7,4,5,1,2,6] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,7,4,5,1,6,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,4,5,2,1,6] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[3,7,4,5,2,6,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[3,7,4,5,6,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,7,4,5,6,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 4
[3,7,4,6,1,2,5] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,7,4,6,1,5,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,4,6,2,1,5] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[3,7,4,6,2,5,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[3,7,4,6,5,1,2] => [[.,[[.,.],[[.,.],.]]],[.,.]] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 3
[3,7,4,6,5,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 4
[3,7,5,1,2,4,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,7,5,1,2,6,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,7,5,1,4,2,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,7,5,1,4,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,7,5,1,6,2,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,7,5,1,6,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,7,5,2,1,4,6] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[3,7,5,2,1,6,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[3,7,5,2,4,1,6] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,7,5,2,4,6,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[3,7,5,2,6,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,7,5,2,6,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[3,7,5,4,1,2,6] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[3,7,5,4,1,6,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[3,7,5,4,2,1,6] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4
[3,7,5,4,2,6,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[3,7,5,4,6,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,5,4,6,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 4
[3,7,5,6,1,2,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,7,5,6,1,4,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,5,6,2,1,4] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[3,7,5,6,2,4,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[3,7,5,6,4,1,2] => [[.,[[[.,.],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[3,7,5,6,4,2,1] => [[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4
[3,7,6,1,2,4,5] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,7,6,1,2,5,4] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,7,6,1,4,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,7,6,1,4,5,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,7,6,1,5,2,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,7,6,2,1,4,5] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[3,7,6,2,4,1,5] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,7,6,2,4,5,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[3,7,6,4,1,2,5] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[3,7,6,4,1,5,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[3,7,6,4,2,1,5] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4
[3,7,6,4,2,5,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[3,7,6,4,5,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,6,4,5,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 4
[3,7,6,5,1,2,4] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4
[3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 4
[4,1,2,3,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[4,1,2,3,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[4,1,2,3,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,3,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[4,1,2,3,7,5,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,3,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[4,1,2,5,3,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,2,5,3,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[4,1,2,5,6,3,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,2,5,6,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[4,1,2,5,7,3,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,2,5,7,6,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[4,1,2,6,3,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,2,6,3,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[4,1,2,6,5,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,1,2,6,5,7,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[4,1,2,6,7,3,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,2,6,7,5,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[4,1,2,7,3,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,2,7,3,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[4,1,2,7,5,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,1,2,7,5,6,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[4,1,2,7,6,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,1,2,7,6,5,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[4,1,3,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,3,2,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[4,1,3,2,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[4,1,3,2,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[4,1,3,2,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[4,1,3,2,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[4,1,3,5,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[4,1,3,5,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[4,1,3,5,6,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[4,1,3,5,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[4,1,3,5,7,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[4,1,3,5,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[4,1,3,6,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[4,1,3,6,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[4,1,3,6,5,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[4,1,3,6,5,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[4,1,3,6,7,2,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[4,1,3,6,7,5,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[4,1,3,7,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[4,1,3,7,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[4,1,3,7,5,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[4,1,3,7,5,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[4,1,3,7,6,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[4,1,3,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[4,1,5,2,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,5,2,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[4,1,5,2,6,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[4,1,5,2,6,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[4,1,5,2,7,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[4,1,5,2,7,6,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[4,1,5,3,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,1,5,3,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,5,3,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,5,3,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[4,1,5,3,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,5,3,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[4,1,5,6,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[4,1,5,6,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[4,1,5,6,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[4,1,5,6,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,1,5,6,7,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[4,1,5,6,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[4,1,5,7,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[4,1,5,7,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[4,1,5,7,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[4,1,5,7,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,1,5,7,6,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[4,1,5,7,6,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[4,1,6,2,3,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,6,2,3,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[4,1,6,2,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[4,1,6,2,5,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[4,1,6,2,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[4,1,6,2,7,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[4,1,6,3,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,1,6,3,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,6,3,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,6,3,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[4,1,6,3,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,6,3,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[4,1,6,5,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,1,6,5,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,6,5,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[4,1,6,5,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[4,1,6,5,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,6,5,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[4,1,6,7,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[4,1,6,7,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[4,1,6,7,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[4,1,6,7,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,1,6,7,5,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[4,1,6,7,5,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[4,1,7,2,3,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,7,2,3,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[4,1,7,2,5,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[4,1,7,2,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[4,1,7,2,6,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[4,1,7,2,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[4,1,7,3,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,1,7,3,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,7,3,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,7,3,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[4,1,7,3,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,7,3,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[4,1,7,5,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,1,7,5,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,7,5,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[4,1,7,5,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[4,1,7,5,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,7,5,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[4,1,7,6,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,1,7,6,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,7,6,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[4,1,7,6,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[4,1,7,6,5,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[4,2,1,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[4,2,1,3,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[4,2,1,3,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[4,2,1,3,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[4,2,1,3,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[4,2,1,3,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[4,2,1,5,3,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[4,2,1,5,3,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,5,6,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[4,2,1,5,6,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[4,2,1,5,7,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[4,2,1,5,7,6,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[4,2,1,6,3,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[4,2,1,6,3,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,6,5,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[4,2,1,6,5,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[4,2,1,6,7,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[4,2,1,6,7,5,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[4,2,1,7,3,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[4,2,1,7,3,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,2,1,7,5,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[4,2,1,7,5,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[4,2,1,7,6,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,3,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[4,2,3,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[4,2,3,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,2,3,1,6,7,5] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,2,3,1,7,5,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,2,3,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[4,2,3,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,2,3,5,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,2,3,5,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[4,2,3,5,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[4,2,3,5,7,1,6] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[4,2,3,5,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4
[4,2,3,6,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,2,3,6,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,2,3,6,5,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[4,2,3,6,5,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[4,2,3,6,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[4,2,3,6,7,5,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4
[4,2,3,7,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,2,3,7,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,2,3,7,5,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[4,2,3,7,5,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[4,2,3,7,6,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[4,2,3,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[4,2,5,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[4,2,5,1,6,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,2,5,1,6,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,2,5,1,7,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,2,5,1,7,6,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[4,2,5,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,2,5,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,2,5,3,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,2,5,3,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[4,2,5,3,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,2,5,3,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[4,2,5,6,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,2,5,6,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,2,5,6,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[4,2,5,6,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[4,2,5,6,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[4,2,5,6,7,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4
[4,2,5,7,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,2,5,7,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,2,5,7,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[4,2,5,7,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[4,2,5,7,6,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[4,2,5,7,6,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[4,2,6,1,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[4,2,6,1,3,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[4,2,6,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,2,6,1,5,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,2,6,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,2,6,1,7,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[4,2,6,3,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,2,6,3,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,2,6,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,2,6,3,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[4,2,6,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,2,6,3,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[4,2,6,5,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,2,6,5,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,2,6,5,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[4,2,6,5,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[4,2,6,5,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,2,6,5,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[4,2,6,7,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,2,6,7,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,2,6,7,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[4,2,6,7,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[4,2,6,7,5,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[4,2,6,7,5,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[4,2,7,1,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[4,2,7,1,3,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[4,2,7,1,5,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,2,7,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,2,7,1,6,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[4,2,7,3,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,2,7,3,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,2,7,3,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,2,7,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[4,2,7,3,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,2,7,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[4,2,7,5,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,2,7,5,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,2,7,5,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[4,2,7,5,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[4,2,7,5,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,2,7,5,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[4,2,7,6,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,2,7,6,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[4,2,7,6,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[4,3,1,2,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[4,3,1,2,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[4,3,1,2,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[4,3,1,2,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[4,3,1,2,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[4,3,1,2,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[4,3,1,5,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[4,3,1,5,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,5,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[4,3,1,5,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[4,3,1,5,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[4,3,1,5,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[4,3,1,6,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[4,3,1,6,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,6,5,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[4,3,1,6,5,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[4,3,1,6,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[4,3,1,6,7,5,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[4,3,1,7,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[4,3,1,7,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,3,1,7,5,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[4,3,1,7,5,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[4,3,1,7,6,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[4,3,2,1,5,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[4,3,2,1,6,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[4,3,2,1,6,7,5] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[4,3,2,1,7,5,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[4,3,2,5,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[4,3,2,5,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[4,3,2,5,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[4,3,2,5,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[4,3,2,5,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[4,3,2,5,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[4,3,2,6,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[4,3,2,6,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[4,3,2,6,5,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[4,3,2,6,5,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[4,3,2,6,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[4,3,2,6,7,5,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[4,3,2,7,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[4,3,2,7,5,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[4,3,2,7,5,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[4,3,5,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[4,3,5,1,2,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[4,3,5,1,6,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,3,5,1,6,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,3,5,1,7,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,3,5,1,7,6,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[4,3,5,2,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[4,3,5,2,1,7,6] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[4,3,5,2,6,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,3,5,2,6,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[4,3,5,2,7,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,3,5,2,7,6,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[4,3,5,6,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,3,5,6,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,3,5,6,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[4,3,5,6,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[4,3,5,6,7,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[4,3,5,6,7,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5
[4,3,5,7,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,3,5,7,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,3,5,7,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[4,3,5,7,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[4,3,5,7,6,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[4,3,5,7,6,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5
[4,3,6,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[4,3,6,1,2,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[4,3,6,1,5,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,3,6,1,5,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,3,6,1,7,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,3,6,1,7,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[4,3,6,2,1,5,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[4,3,6,2,1,7,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[4,3,6,2,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,3,6,2,5,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[4,3,6,2,7,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,3,6,2,7,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[4,3,6,5,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,3,6,5,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,3,6,5,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[4,3,6,5,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[4,3,6,5,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,3,6,5,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[4,3,6,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[4,3,6,7,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[4,3,6,7,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[4,3,6,7,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[4,3,6,7,5,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[4,3,6,7,5,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5
[4,3,7,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[4,3,7,1,2,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[4,3,7,1,5,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,3,7,1,5,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,3,7,1,6,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[4,3,7,2,1,5,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[4,3,7,2,5,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,3,7,2,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[4,3,7,5,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,3,7,5,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,3,7,5,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[4,3,7,5,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[4,3,7,5,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[4,3,7,5,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[4,3,7,6,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 5
[4,5,1,2,3,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[4,5,1,2,3,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[4,5,1,2,6,3,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,5,1,2,6,7,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[4,5,1,2,7,3,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,5,1,2,7,6,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[4,5,1,3,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,5,1,3,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,5,1,3,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,5,1,3,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,5,1,3,7,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,5,1,3,7,6,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[4,5,1,6,2,3,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,5,1,6,2,7,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,5,1,6,3,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,5,1,6,3,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,5,1,6,7,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,5,1,6,7,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[4,5,1,7,2,3,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,5,1,7,2,6,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,5,1,7,3,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,5,1,7,3,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,5,1,7,6,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,5,1,7,6,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[4,5,2,1,3,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[4,5,2,1,3,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[4,5,2,1,6,3,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,5,2,1,6,7,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[4,5,2,1,7,3,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,5,2,1,7,6,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[4,5,2,3,1,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,5,2,3,1,7,6] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,5,2,3,6,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,5,2,3,6,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[4,5,2,3,7,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,5,2,3,7,6,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[4,5,2,6,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,5,2,6,1,7,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,5,2,6,3,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,5,2,6,3,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[4,5,2,6,7,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,5,2,6,7,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[4,5,2,7,1,3,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,5,2,7,1,6,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,5,2,7,3,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,5,2,7,3,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[4,5,2,7,6,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,5,2,7,6,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[4,5,3,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[4,5,3,1,2,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[4,5,3,1,6,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,5,3,1,6,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[4,5,3,1,7,2,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,5,3,1,7,6,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[4,5,3,2,1,6,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[4,5,3,2,1,7,6] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[4,5,3,2,6,1,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[4,5,3,2,6,7,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[4,5,3,2,7,1,6] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[4,5,3,2,7,6,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[4,5,3,6,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,5,3,6,1,7,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,5,3,6,2,1,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[4,5,3,6,2,7,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[4,5,3,6,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,5,3,6,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5
[4,5,3,7,1,2,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,5,3,7,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,5,3,7,2,1,6] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[4,5,3,7,2,6,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[4,5,3,7,6,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,5,3,7,6,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5
[4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,5,6,1,3,2,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,5,6,1,3,7,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,5,6,1,7,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,5,6,1,7,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,6,2,1,3,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[4,5,6,2,1,7,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,5,6,2,3,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,6,2,3,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[4,5,6,2,7,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,6,2,7,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[4,5,6,3,1,2,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[4,5,6,3,1,7,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,5,6,3,2,1,7] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 5
[4,5,6,3,2,7,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 5
[4,5,6,3,7,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,6,3,7,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 5
[4,5,6,7,1,2,3] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,5,6,7,1,3,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[4,5,6,7,2,1,3] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[4,5,6,7,2,3,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[4,5,6,7,3,1,2] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[4,5,6,7,3,2,1] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 5
[4,5,7,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,5,7,1,2,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,5,7,1,3,2,6] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,5,7,1,3,6,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,5,7,1,6,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,5,7,1,6,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,7,2,1,3,6] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[4,5,7,2,1,6,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,5,7,2,3,1,6] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,7,2,3,6,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[4,5,7,2,6,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,7,2,6,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[4,5,7,3,1,2,6] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[4,5,7,3,1,6,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,5,7,3,2,1,6] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 5
[4,5,7,3,2,6,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 5
[4,5,7,3,6,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,5,7,3,6,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 5
[4,5,7,6,1,2,3] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 3
[4,5,7,6,1,3,2] => [[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[4,5,7,6,2,1,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[4,5,7,6,2,3,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[4,5,7,6,3,1,2] => [[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[4,5,7,6,3,2,1] => [[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 5
[4,6,1,2,3,5,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[4,6,1,2,3,7,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[4,6,1,2,5,3,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,6,1,2,5,7,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[4,6,1,2,7,3,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,6,1,2,7,5,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[4,6,1,3,2,5,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,6,1,3,2,7,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,6,1,3,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,6,1,3,5,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,6,1,3,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,6,1,3,7,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[4,6,1,5,2,3,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,6,1,5,2,7,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,6,1,5,3,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,6,1,5,3,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,6,1,5,7,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,6,1,5,7,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[4,6,1,7,2,3,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,6,1,7,2,5,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,6,1,7,3,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,6,1,7,3,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,6,1,7,5,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,6,1,7,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[4,6,2,1,3,5,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[4,6,2,1,3,7,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[4,6,2,1,5,3,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,6,2,1,5,7,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[4,6,2,1,7,3,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,6,2,1,7,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[4,6,2,3,1,5,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,6,2,3,1,7,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,6,2,3,5,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,6,2,3,5,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[4,6,2,3,7,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,6,2,3,7,5,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[4,6,2,5,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,6,2,5,1,7,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,6,2,5,3,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,6,2,5,3,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[4,6,2,5,7,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,6,2,5,7,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[4,6,2,7,1,3,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,6,2,7,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,6,2,7,3,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,6,2,7,3,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[4,6,2,7,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,6,2,7,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[4,6,3,1,2,5,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[4,6,3,1,2,7,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[4,6,3,1,5,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,6,3,1,5,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[4,6,3,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,6,3,1,7,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[4,6,3,2,1,5,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[4,6,3,2,1,7,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[4,6,3,2,5,1,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[4,6,3,2,5,7,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[4,6,3,2,7,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[4,6,3,2,7,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[4,6,3,5,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,6,3,5,1,7,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,6,3,5,2,1,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[4,6,3,5,2,7,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[4,6,3,5,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,6,3,5,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5
[4,6,3,7,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,6,3,7,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,6,3,7,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[4,6,3,7,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[4,6,3,7,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,6,3,7,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5
[4,6,5,1,2,3,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,6,5,1,2,7,3] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[4,6,5,1,3,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,6,5,1,3,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,5,1,7,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,6,5,1,7,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,6,5,2,1,3,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[4,6,5,2,1,7,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[4,6,5,2,3,1,7] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,6,5,2,3,7,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[4,6,5,2,7,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,6,5,2,7,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[4,6,5,3,1,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[4,6,5,3,1,7,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[4,6,5,3,2,1,7] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[4,6,5,3,2,7,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5
[4,6,5,3,7,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,6,5,3,7,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[4,6,5,7,1,2,3] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,6,5,7,1,3,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,5,7,2,1,3] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[4,6,5,7,2,3,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[4,6,5,7,3,1,2] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[4,6,5,7,3,2,1] => [[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 5
[4,6,7,1,2,3,5] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,6,7,1,2,5,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,6,7,1,3,2,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,6,7,1,3,5,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,6,7,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,6,7,1,5,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[4,6,7,2,1,3,5] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[4,6,7,2,1,5,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,6,7,2,3,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,6,7,2,3,5,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[4,6,7,2,5,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,6,7,2,5,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[4,6,7,3,1,2,5] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[4,6,7,3,1,5,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,6,7,3,2,1,5] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 5
[4,6,7,3,2,5,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 5
[4,6,7,3,5,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[4,6,7,3,5,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 5
[4,6,7,5,1,2,3] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 3
[4,6,7,5,1,3,2] => [[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,6,7,5,2,1,3] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[4,6,7,5,2,3,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[4,6,7,5,3,1,2] => [[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[4,6,7,5,3,2,1] => [[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 5
[4,7,1,2,3,5,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[4,7,1,2,3,6,5] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[4,7,1,2,5,3,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,7,1,2,5,6,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[4,7,1,2,6,3,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,7,1,2,6,5,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[4,7,1,3,2,5,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,7,1,3,2,6,5] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,7,1,3,5,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,7,1,3,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,7,1,3,6,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,7,1,3,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[4,7,1,5,2,3,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,7,1,5,2,6,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,7,1,5,3,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,1,5,3,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,7,1,5,6,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,7,1,5,6,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[4,7,1,6,2,3,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,7,1,6,2,5,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,7,1,6,3,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,1,6,3,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,7,1,6,5,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[4,7,2,1,3,5,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[4,7,2,1,3,6,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[4,7,2,1,5,3,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,7,2,1,5,6,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[4,7,2,1,6,3,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[4,7,2,3,1,5,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,7,2,3,1,6,5] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,7,2,3,5,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,7,2,3,5,6,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[4,7,2,3,6,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,7,2,3,6,5,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[4,7,2,5,1,3,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,7,2,5,1,6,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,7,2,5,3,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,7,2,5,3,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[4,7,2,5,6,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,7,2,5,6,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[4,7,2,6,1,3,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,7,2,6,3,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,7,2,6,3,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[4,7,3,1,2,5,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[4,7,3,1,2,6,5] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[4,7,3,1,5,2,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,7,3,1,5,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[4,7,3,1,6,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[4,7,3,2,1,5,6] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[4,7,3,2,5,1,6] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[4,7,3,2,5,6,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[4,7,3,5,1,2,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,7,3,5,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,7,3,5,2,1,6] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[4,7,3,5,2,6,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[4,7,3,5,6,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[4,7,3,5,6,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5
[4,7,3,6,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5
[4,7,5,1,2,3,6] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,7,5,1,2,6,3] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[4,7,5,1,3,2,6] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,7,5,1,3,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[4,7,5,1,6,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,7,5,1,6,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,7,5,2,1,3,6] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[4,7,5,2,1,6,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[4,7,5,2,3,1,6] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,7,5,2,3,6,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[4,7,5,2,6,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,7,5,2,6,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[4,7,5,3,1,2,6] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[4,7,5,3,1,6,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[4,7,5,3,2,1,6] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[4,7,5,3,2,6,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5
[4,7,5,3,6,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,7,5,3,6,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[4,7,5,6,1,2,3] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,7,5,6,1,3,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,5,6,2,1,3] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[4,7,5,6,2,3,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[4,7,5,6,3,1,2] => [[[.,[[.,.],[.,.]]],.],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[4,7,5,6,3,2,1] => [[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 5
[4,7,6,1,2,3,5] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,7,6,1,2,5,3] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[4,7,6,1,3,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,7,6,1,3,5,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[4,7,6,1,5,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,7,6,2,1,3,5] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[4,7,6,2,3,1,5] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,7,6,2,3,5,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[4,7,6,3,1,2,5] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5
[4,7,6,3,5,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[4,7,6,5,1,2,3] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 3
[4,7,6,5,2,1,3] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4
[4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4
[4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 5
[5,1,2,3,4,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[5,1,2,3,4,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[5,1,2,3,6,4,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[5,1,2,3,6,7,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[5,1,2,3,7,4,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[5,1,2,3,7,6,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[5,1,2,4,3,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[5,1,2,4,3,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,1,2,4,6,3,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[5,1,2,4,6,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[5,1,2,4,7,3,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[5,1,2,4,7,6,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[5,1,2,6,3,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[5,1,2,6,3,7,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,1,2,6,4,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,1,2,6,4,7,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[5,1,2,6,7,3,4] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[5,1,2,6,7,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[5,1,2,7,3,4,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[5,1,2,7,3,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,1,2,7,4,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,1,2,7,4,6,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[5,1,2,7,6,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,1,2,7,6,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[5,1,3,2,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,3,2,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[5,1,3,2,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,3,2,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[5,1,3,2,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,3,2,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[5,1,3,4,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[5,1,3,4,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,3,4,6,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[5,1,3,4,6,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[5,1,3,4,7,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[5,1,3,4,7,6,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[5,1,3,6,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[5,1,3,6,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,3,6,4,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[5,1,3,6,4,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[5,1,3,6,7,2,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[5,1,3,6,7,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[5,1,3,7,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[5,1,3,7,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,3,7,4,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[5,1,3,7,4,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[5,1,3,7,6,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[5,1,3,7,6,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[5,1,4,2,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,4,2,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[5,1,4,2,6,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,4,2,6,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[5,1,4,2,7,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,4,2,7,6,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[5,1,4,3,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[5,1,4,3,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[5,1,4,3,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,4,3,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[5,1,4,3,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,4,3,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[5,1,4,6,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[5,1,4,6,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,4,6,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[5,1,4,6,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[5,1,4,6,7,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[5,1,4,6,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[5,1,4,7,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[5,1,4,7,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,4,7,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[5,1,4,7,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[5,1,4,7,6,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[5,1,4,7,6,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[5,1,6,2,3,4,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,6,2,3,7,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[5,1,6,2,4,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,6,2,4,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[5,1,6,2,7,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,6,2,7,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[5,1,6,3,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[5,1,6,3,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[5,1,6,3,4,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,6,3,4,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[5,1,6,3,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,6,3,7,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[5,1,6,4,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[5,1,6,4,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[5,1,6,4,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[5,1,6,4,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[5,1,6,4,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,6,4,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[5,1,6,7,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[5,1,6,7,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,6,7,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[5,1,6,7,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[5,1,6,7,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[5,1,6,7,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[5,1,7,2,3,4,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,7,2,3,6,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[5,1,7,2,4,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,7,2,4,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[5,1,7,2,6,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,7,2,6,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[5,1,7,3,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[5,1,7,3,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[5,1,7,3,4,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,7,3,4,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[5,1,7,3,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,7,3,6,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[5,1,7,4,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[5,1,7,4,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[5,1,7,4,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[5,1,7,4,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[5,1,7,4,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,7,4,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[5,1,7,6,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[5,1,7,6,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[5,1,7,6,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[5,1,7,6,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[5,1,7,6,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[5,2,1,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[5,2,1,3,4,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[5,2,1,3,6,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[5,2,1,3,6,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[5,2,1,3,7,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[5,2,1,3,7,6,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[5,2,1,4,3,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,2,1,4,3,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,4,6,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,2,1,4,6,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[5,2,1,4,7,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,2,1,4,7,6,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[5,2,1,6,3,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,2,1,6,3,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,6,4,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,2,1,6,4,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[5,2,1,6,7,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,2,1,6,7,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[5,2,1,7,3,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,2,1,7,3,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,2,1,7,4,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,2,1,7,4,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[5,2,1,7,6,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[5,2,3,1,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,2,3,1,4,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,2,3,1,6,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,2,3,1,6,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,2,3,1,7,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,2,3,1,7,6,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,2,3,4,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[5,2,3,4,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[5,2,3,4,7,1,6] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[5,2,3,4,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4
[5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,2,3,6,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[5,2,3,6,4,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[5,2,3,6,7,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[5,2,3,6,7,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4
[5,2,3,7,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,3,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,2,3,7,4,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[5,2,3,7,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[5,2,3,7,6,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[5,2,3,7,6,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[5,2,4,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,2,4,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,2,4,1,6,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,2,4,1,6,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,2,4,1,7,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,2,4,1,7,6,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,2,4,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,2,4,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,2,4,3,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,2,4,3,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[5,2,4,3,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,2,4,3,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[5,2,4,6,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,4,6,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,2,4,6,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[5,2,4,6,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[5,2,4,6,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[5,2,4,6,7,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4
[5,2,4,7,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,4,7,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,2,4,7,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[5,2,4,7,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[5,2,4,7,6,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[5,2,4,7,6,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[5,2,6,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,2,6,1,3,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,2,6,1,4,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,2,6,1,4,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,2,6,1,7,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,2,6,1,7,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,2,6,3,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,2,6,3,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,2,6,3,4,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,2,6,3,4,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[5,2,6,3,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,2,6,3,7,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[5,2,6,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,2,6,4,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,2,6,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[5,2,6,4,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[5,2,6,4,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,2,6,4,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,6,7,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,2,6,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[5,2,6,7,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[5,2,6,7,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[5,2,6,7,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[5,2,7,1,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,2,7,1,3,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,2,7,1,4,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,2,7,1,4,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,2,7,1,6,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,2,7,3,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,2,7,3,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,2,7,3,4,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,2,7,3,4,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[5,2,7,3,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,2,7,3,6,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[5,2,7,4,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,2,7,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,2,7,4,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[5,2,7,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[5,2,7,4,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,2,7,4,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[5,2,7,6,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,2,7,6,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[5,2,7,6,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[5,3,1,2,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[5,3,1,2,4,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[5,3,1,2,6,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[5,3,1,2,6,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[5,3,1,2,7,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[5,3,1,2,7,6,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[5,3,1,4,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,3,1,4,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,1,4,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,3,1,4,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[5,3,1,4,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,3,1,4,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[5,3,1,6,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,3,1,6,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,1,6,4,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,3,1,6,4,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[5,3,1,6,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,3,1,6,7,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[5,3,1,7,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,3,1,7,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,3,1,7,4,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,3,1,7,4,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[5,3,1,7,6,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[5,3,2,1,4,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[5,3,2,1,4,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[5,3,2,1,6,4,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[5,3,2,1,6,7,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[5,3,2,1,7,4,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[5,3,2,4,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[5,3,2,4,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[5,3,2,4,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[5,3,2,4,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[5,3,2,4,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[5,3,2,4,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[5,3,2,6,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[5,3,2,6,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[5,3,2,6,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[5,3,2,6,4,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[5,3,2,6,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[5,3,2,6,7,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[5,3,2,7,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[5,3,2,7,4,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[5,3,2,7,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[5,3,4,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,3,4,1,2,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,3,4,1,6,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,3,4,1,6,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,3,4,1,7,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,3,4,1,7,6,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,3,4,2,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[5,3,4,2,1,7,6] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[5,3,4,2,6,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,3,4,2,6,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[5,3,4,2,7,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,3,4,2,7,6,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[5,3,4,6,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,3,4,6,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,3,4,6,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[5,3,4,6,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[5,3,4,6,7,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[5,3,4,6,7,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5
[5,3,4,7,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,3,4,7,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,3,4,7,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[5,3,4,7,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[5,3,4,7,6,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[5,3,4,7,6,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5
[5,3,6,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,3,6,1,2,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,3,6,1,4,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,3,6,1,4,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,3,6,1,7,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,3,6,1,7,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,3,6,2,1,4,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[5,3,6,2,1,7,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[5,3,6,2,4,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,3,6,2,4,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[5,3,6,2,7,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,3,6,2,7,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[5,3,6,4,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,3,6,4,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,3,6,4,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[5,3,6,4,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[5,3,6,4,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,3,6,4,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[5,3,6,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,3,6,7,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,3,6,7,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[5,3,6,7,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[5,3,6,7,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[5,3,6,7,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5
[5,3,7,1,2,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,3,7,1,2,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,3,7,1,4,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,3,7,1,4,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,3,7,1,6,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,3,7,2,1,4,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[5,3,7,2,4,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,3,7,2,4,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[5,3,7,4,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,3,7,4,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,3,7,4,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[5,3,7,4,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[5,3,7,4,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[5,3,7,4,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[5,3,7,6,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 5
[5,4,1,2,3,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[5,4,1,2,3,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[5,4,1,2,6,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[5,4,1,2,6,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[5,4,1,2,7,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[5,4,1,2,7,6,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[5,4,1,3,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,4,1,3,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,4,1,3,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,4,1,3,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[5,4,1,3,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,4,1,3,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[5,4,1,6,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,4,1,6,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,4,1,6,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,4,1,6,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[5,4,1,6,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[5,4,1,6,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[5,4,1,7,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[5,4,1,7,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,4,1,7,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,4,1,7,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[5,4,1,7,6,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[5,4,2,1,3,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[5,4,2,1,3,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[5,4,2,1,6,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[5,4,2,1,6,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[5,4,2,1,7,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[5,4,2,3,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[5,4,2,3,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[5,4,2,3,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[5,4,2,3,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[5,4,2,3,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[5,4,2,3,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[5,4,2,6,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[5,4,2,6,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[5,4,2,6,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[5,4,2,6,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[5,4,2,6,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[5,4,2,6,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[5,4,2,7,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[5,4,2,7,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[5,4,2,7,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[5,4,3,1,2,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[5,4,3,1,2,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[5,4,3,1,6,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[5,4,3,1,6,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[5,4,3,1,7,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[5,4,3,2,6,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[5,4,3,2,6,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[5,4,3,2,7,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[5,4,3,6,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[5,4,3,6,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[5,4,3,6,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[5,4,3,6,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[5,4,3,6,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[5,4,3,6,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6
[5,4,3,7,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[5,4,3,7,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[5,4,3,7,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[5,4,3,7,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[5,4,3,7,6,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[5,4,3,7,6,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6
[5,4,6,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,4,6,1,2,7,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,4,6,1,3,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,4,6,1,3,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,4,6,1,7,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,4,6,1,7,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,4,6,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[5,4,6,2,1,7,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[5,4,6,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,4,6,2,3,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[5,4,6,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,4,6,2,7,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[5,4,6,3,1,2,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[5,4,6,3,1,7,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[5,4,6,3,2,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[5,4,6,3,2,7,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[5,4,6,3,7,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,4,6,3,7,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6
[5,4,6,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[5,4,6,7,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[5,4,6,7,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[5,4,6,7,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[5,4,6,7,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[5,4,6,7,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 6
[5,4,7,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[5,4,7,1,2,6,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[5,4,7,1,3,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,4,7,1,3,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,4,7,1,6,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[5,4,7,2,1,3,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[5,4,7,2,3,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,4,7,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,4,7,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[5,4,7,3,1,2,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[5,4,7,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[5,4,7,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[5,4,7,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[5,4,7,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,4,7,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6
[5,4,7,6,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[5,4,7,6,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[5,4,7,6,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[5,4,7,6,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[5,4,7,6,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[5,4,7,6,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 6
[5,6,1,2,3,4,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[5,6,1,2,3,7,4] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[5,6,1,2,4,3,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,6,1,2,4,7,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[5,6,1,2,7,3,4] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,6,1,2,7,4,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[5,6,1,3,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,6,1,3,2,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,6,1,3,4,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,6,1,3,4,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[5,6,1,3,7,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,6,1,3,7,4,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[5,6,1,4,2,3,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,6,1,4,2,7,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,6,1,4,3,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,6,1,4,3,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,6,1,4,7,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,6,1,4,7,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[5,6,1,7,2,3,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,6,1,7,2,4,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,6,1,7,3,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,6,1,7,3,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,6,1,7,4,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,6,1,7,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[5,6,2,1,3,4,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[5,6,2,1,3,7,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[5,6,2,1,4,3,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,6,2,1,4,7,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[5,6,2,1,7,3,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,6,2,1,7,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[5,6,2,3,1,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,6,2,3,1,7,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,6,2,3,4,1,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[5,6,2,3,4,7,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[5,6,2,3,7,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[5,6,2,3,7,4,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[5,6,2,4,1,3,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,6,2,4,1,7,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,6,2,4,3,1,7] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[5,6,2,4,3,7,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[5,6,2,4,7,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[5,6,2,4,7,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[5,6,2,7,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,6,2,7,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,6,2,7,3,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[5,6,2,7,3,4,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[5,6,2,7,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[5,6,2,7,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[5,6,3,1,2,4,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[5,6,3,1,2,7,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[5,6,3,1,4,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,6,3,1,4,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[5,6,3,1,7,2,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,6,3,1,7,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[5,6,3,2,1,4,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[5,6,3,2,1,7,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,6,3,2,4,1,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,6,3,2,4,7,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[5,6,3,2,7,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,6,3,2,7,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,6,3,4,1,7,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,6,3,4,2,1,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[5,6,3,4,2,7,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[5,6,3,4,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[5,6,3,4,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5
[5,6,3,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,6,3,7,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,6,3,7,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[5,6,3,7,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[5,6,3,7,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[5,6,3,7,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5
[5,6,4,1,2,3,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[5,6,4,1,2,7,3] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[5,6,4,1,3,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,6,4,1,3,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[5,6,4,1,7,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,6,4,1,7,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[5,6,4,2,1,3,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[5,6,4,2,1,7,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,6,4,2,3,1,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,6,4,2,3,7,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[5,6,4,2,7,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,6,4,2,7,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[5,6,4,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[5,6,4,3,1,7,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,6,4,3,2,1,7] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6
[5,6,4,3,2,7,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6
[5,6,4,3,7,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,6,4,3,7,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 6
[5,6,4,7,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,6,4,7,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,6,4,7,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[5,6,4,7,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[5,6,4,7,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[5,6,4,7,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 6
[5,6,7,1,2,3,4] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,6,7,1,2,4,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[5,6,7,1,3,2,4] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[5,6,7,1,3,4,2] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[5,6,7,1,4,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[5,6,7,1,4,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[5,6,7,2,1,3,4] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[5,6,7,2,1,4,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[5,6,7,2,3,1,4] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[5,6,7,2,3,4,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 4
[5,6,7,2,4,1,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[5,6,7,2,4,3,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 4
[5,6,7,3,1,2,4] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[5,6,7,3,1,4,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[5,6,7,3,2,1,4] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 5
[5,6,7,3,2,4,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 5
[5,6,7,3,4,1,2] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 4
[5,6,7,3,4,2,1] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 5
[5,6,7,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[5,6,7,4,1,3,2] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[5,6,7,4,2,1,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 5
[5,6,7,4,2,3,1] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 5
[5,6,7,4,3,1,2] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 5
[5,6,7,4,3,2,1] => [[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 6
[5,7,1,2,3,4,6] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[5,7,1,2,3,6,4] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[5,7,1,2,4,3,6] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,7,1,2,4,6,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[5,7,1,2,6,3,4] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,7,1,2,6,4,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[5,7,1,3,2,4,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,7,1,3,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,7,1,3,4,2,6] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,7,1,3,4,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[5,7,1,3,6,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,7,1,3,6,4,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[5,7,1,4,2,3,6] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,7,1,4,2,6,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,7,1,4,3,2,6] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,7,1,4,3,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,7,1,4,6,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,7,1,4,6,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[5,7,1,6,2,3,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,7,1,6,2,4,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,7,1,6,3,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,7,1,6,3,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,7,1,6,4,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[5,7,2,1,3,4,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[5,7,2,1,3,6,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[5,7,2,1,4,3,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,7,2,1,4,6,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[5,7,2,1,6,3,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[5,7,2,3,1,4,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,7,2,3,1,6,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,7,2,3,4,1,6] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[5,7,2,3,4,6,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[5,7,2,3,6,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[5,7,2,3,6,4,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[5,7,2,4,1,3,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,7,2,4,1,6,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,7,2,4,3,1,6] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[5,7,2,4,3,6,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[5,7,2,4,6,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[5,7,2,4,6,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[5,7,2,6,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,7,2,6,3,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[5,7,2,6,3,4,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[5,7,3,1,2,4,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[5,7,3,1,2,6,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[5,7,3,1,4,2,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,7,3,1,4,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[5,7,3,1,6,2,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[5,7,3,2,1,4,6] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[5,7,3,2,1,6,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,7,3,2,4,1,6] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,7,3,2,4,6,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[5,7,3,2,6,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,7,3,2,6,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[5,7,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,7,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,7,3,4,2,1,6] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[5,7,3,4,2,6,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[5,7,3,4,6,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[5,7,3,4,6,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5
[5,7,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,7,3,6,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[5,7,3,6,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[5,7,3,6,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[5,7,3,6,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5
[5,7,4,1,2,3,6] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[5,7,4,1,2,6,3] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[5,7,4,1,3,2,6] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,7,4,1,3,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[5,7,4,1,6,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[5,7,4,2,1,3,6] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[5,7,4,2,1,6,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,7,4,2,3,1,6] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,7,4,2,3,6,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[5,7,4,2,6,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,7,4,2,6,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[5,7,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,7,4,3,2,1,6] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6
[5,7,4,3,2,6,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6
[5,7,4,3,6,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[5,7,4,3,6,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 6
[5,7,4,6,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[5,7,4,6,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[5,7,4,6,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[5,7,4,6,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[5,7,4,6,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[5,7,4,6,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 6
[5,7,6,1,2,3,4] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[5,7,6,1,2,4,3] => [[.,[[.,.],.]],[.,[[.,.],.]]] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[5,7,6,1,3,2,4] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,7,6,1,3,4,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[5,7,6,1,4,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,7,6,2,1,3,4] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[5,7,6,2,1,4,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[5,7,6,2,3,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[5,7,6,2,3,4,1] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[5,7,6,2,4,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[5,7,6,2,4,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[5,7,6,3,1,2,4] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[5,7,6,3,1,4,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[5,7,6,3,2,1,4] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[5,7,6,3,2,4,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5
[5,7,6,3,4,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[5,7,6,3,4,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 5
[5,7,6,4,1,2,3] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 4
[5,7,6,4,2,1,3] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[5,7,6,4,2,3,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 5
[5,7,6,4,3,1,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 5
[5,7,6,4,3,2,1] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 6
[6,1,2,3,4,5,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[6,1,2,3,4,7,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[6,1,2,3,5,4,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[6,1,2,3,5,7,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[6,1,2,3,7,4,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[6,1,2,3,7,5,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[6,1,2,4,3,5,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[6,1,2,4,3,7,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[6,1,2,4,5,3,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[6,1,2,4,5,7,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[6,1,2,4,7,3,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[6,1,2,4,7,5,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[6,1,2,5,3,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[6,1,2,5,3,7,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[6,1,2,5,4,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[6,1,2,5,4,7,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[6,1,2,5,7,3,4] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[6,1,2,5,7,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[6,1,2,7,3,4,5] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[6,1,2,7,3,5,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[6,1,2,7,4,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[6,1,2,7,4,5,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[6,1,2,7,5,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[6,1,2,7,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[6,1,3,2,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,3,2,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[6,1,3,2,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,3,2,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[6,1,3,2,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,3,2,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[6,1,3,4,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[6,1,3,4,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[6,1,3,4,5,2,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[6,1,3,4,5,7,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[6,1,3,4,7,2,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[6,1,3,4,7,5,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[6,1,3,5,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[6,1,3,5,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[6,1,3,5,4,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[6,1,3,5,4,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[6,1,3,5,7,2,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[6,1,3,5,7,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[6,1,3,7,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[6,1,3,7,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[6,1,3,7,4,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[6,1,3,7,4,5,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[6,1,3,7,5,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[6,1,3,7,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[6,1,4,2,3,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,4,2,3,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[6,1,4,2,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,4,2,5,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[6,1,4,2,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,4,2,7,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[6,1,4,3,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[6,1,4,3,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,4,3,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,4,3,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[6,1,4,3,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,4,3,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[6,1,4,5,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[6,1,4,5,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[6,1,4,5,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[6,1,4,5,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,1,4,5,7,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[6,1,4,5,7,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[6,1,4,7,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[6,1,4,7,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[6,1,4,7,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[6,1,4,7,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,1,4,7,5,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[6,1,4,7,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[6,1,5,2,3,4,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,5,2,3,7,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[6,1,5,2,4,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,5,2,4,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[6,1,5,2,7,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,5,2,7,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[6,1,5,3,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[6,1,5,3,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,5,3,4,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,5,3,4,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[6,1,5,3,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,5,3,7,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[6,1,5,4,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[6,1,5,4,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,5,4,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[6,1,5,4,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[6,1,5,4,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,5,4,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[6,1,5,7,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[6,1,5,7,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[6,1,5,7,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[6,1,5,7,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,1,5,7,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[6,1,5,7,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[6,1,7,2,3,4,5] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,7,2,3,5,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[6,1,7,2,4,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,7,2,4,5,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[6,1,7,2,5,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,7,2,5,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[6,1,7,3,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[6,1,7,3,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,7,3,4,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,7,3,4,5,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[6,1,7,3,5,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,7,3,5,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[6,1,7,4,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[6,1,7,4,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,7,4,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[6,1,7,4,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[6,1,7,4,5,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,7,4,5,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[6,1,7,5,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[6,1,7,5,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,7,5,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[6,1,7,5,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[6,1,7,5,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[6,2,1,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[6,2,1,3,4,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[6,2,1,3,5,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[6,2,1,3,5,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[6,2,1,3,7,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[6,2,1,3,7,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[6,2,1,4,3,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,2,1,4,3,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,1,4,5,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,2,1,4,5,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[6,2,1,4,7,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,2,1,4,7,5,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[6,2,1,5,3,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,2,1,5,3,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,1,5,4,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,2,1,5,4,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[6,2,1,5,7,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,2,1,5,7,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[6,2,1,7,3,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,2,1,7,3,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,2,1,7,4,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,2,1,7,4,5,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[6,2,1,7,5,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,2,3,1,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,2,3,1,4,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,2,3,1,5,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,2,3,1,5,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,2,3,1,7,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,2,3,1,7,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,2,3,4,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,2,3,4,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,2,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[6,2,3,4,5,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[6,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[6,2,3,4,7,5,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4
[6,2,3,5,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,2,3,5,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,2,3,5,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[6,2,3,5,4,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[6,2,3,5,7,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[6,2,3,5,7,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4
[6,2,3,7,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,2,3,7,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,2,3,7,4,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[6,2,3,7,4,5,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[6,2,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[6,2,3,7,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[6,2,4,1,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,2,4,1,3,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,2,4,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,2,4,1,5,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,2,4,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,2,4,1,7,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,2,4,3,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,2,4,3,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,2,4,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,2,4,3,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[6,2,4,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,2,4,3,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[6,2,4,5,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,2,4,5,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,2,4,5,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,2,4,5,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[6,2,4,5,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[6,2,4,5,7,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4
[6,2,4,7,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,2,4,7,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,2,4,7,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,2,4,7,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[6,2,4,7,5,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[6,2,4,7,5,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[6,2,5,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,2,5,1,3,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,2,5,1,4,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,2,5,1,4,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,2,5,1,7,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,2,5,1,7,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,2,5,3,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,2,5,3,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,2,5,3,4,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,2,5,3,4,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[6,2,5,3,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,2,5,3,7,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[6,2,5,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,2,5,4,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,2,5,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[6,2,5,4,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[6,2,5,4,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,2,5,4,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[6,2,5,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,2,5,7,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,2,5,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,2,5,7,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[6,2,5,7,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,2,5,7,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[6,2,7,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,2,7,1,3,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,2,7,1,4,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,2,7,1,4,5,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,2,7,1,5,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,2,7,3,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,2,7,3,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,2,7,3,4,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,2,7,3,4,5,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[6,2,7,3,5,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,2,7,3,5,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[6,2,7,4,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,2,7,4,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,2,7,4,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[6,2,7,4,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[6,2,7,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,2,7,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[6,2,7,5,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,2,7,5,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[6,2,7,5,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[6,3,1,2,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[6,3,1,2,4,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[6,3,1,2,5,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[6,3,1,2,5,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[6,3,1,2,7,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[6,3,1,2,7,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[6,3,1,4,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,3,1,4,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,1,4,5,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,3,1,4,5,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[6,3,1,4,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,3,1,4,7,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[6,3,1,5,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,3,1,5,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,1,5,4,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,3,1,5,4,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[6,3,1,5,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,3,1,5,7,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[6,3,1,7,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,3,1,7,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,3,1,7,4,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,3,1,7,4,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[6,3,1,7,5,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,3,2,1,4,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[6,3,2,1,4,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[6,3,2,1,5,4,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,3,2,1,5,7,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[6,3,2,1,7,4,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[6,3,2,4,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,3,2,4,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[6,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,3,2,4,7,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[6,3,2,5,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,3,2,5,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,3,2,5,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,3,2,5,4,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[6,3,2,5,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,3,2,5,7,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[6,3,2,7,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,3,2,7,4,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,3,2,7,4,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[6,3,4,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,3,4,1,2,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,3,4,1,5,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,3,4,1,5,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,3,4,1,7,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,3,4,1,7,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,3,4,2,1,5,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,3,4,2,1,7,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,3,4,2,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,3,4,2,5,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[6,3,4,2,7,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,3,4,2,7,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[6,3,4,5,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,3,4,5,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,3,4,5,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[6,3,4,5,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[6,3,4,5,7,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[6,3,4,5,7,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5
[6,3,4,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,3,4,7,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,3,4,7,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[6,3,4,7,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[6,3,4,7,5,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[6,3,4,7,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5
[6,3,5,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,3,5,1,2,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,3,5,1,4,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,3,5,1,4,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,3,5,1,7,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,3,5,1,7,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,3,5,2,1,4,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,3,5,2,1,7,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,3,5,2,4,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,3,5,2,4,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[6,3,5,2,7,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,3,5,2,7,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[6,3,5,4,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,3,5,4,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,3,5,4,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[6,3,5,4,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[6,3,5,4,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,3,5,4,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[6,3,5,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,3,5,7,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,3,5,7,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[6,3,5,7,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[6,3,5,7,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,3,5,7,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5
[6,3,7,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,3,7,1,2,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,3,7,1,4,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,3,7,1,4,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,3,7,1,5,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,3,7,2,1,4,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,3,7,2,4,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,3,7,2,4,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[6,3,7,4,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,3,7,4,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,3,7,4,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[6,3,7,4,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[6,3,7,4,5,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[6,3,7,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[6,3,7,5,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 5
[6,4,1,2,3,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[6,4,1,2,3,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[6,4,1,2,5,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[6,4,1,2,5,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[6,4,1,2,7,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[6,4,1,2,7,5,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[6,4,1,3,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,4,1,3,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,4,1,3,5,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,4,1,3,5,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[6,4,1,3,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,4,1,3,7,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[6,4,1,5,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,4,1,5,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,4,1,5,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,4,1,5,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[6,4,1,5,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,4,1,5,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[6,4,1,7,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,4,1,7,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,4,1,7,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,4,1,7,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[6,4,1,7,5,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,4,2,1,3,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[6,4,2,1,3,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[6,4,2,1,5,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,4,2,1,5,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[6,4,2,1,7,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[6,4,2,3,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,4,2,3,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,4,2,3,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,4,2,3,5,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[6,4,2,3,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,4,2,3,7,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[6,4,2,5,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,4,2,5,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,4,2,5,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,4,2,5,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[6,4,2,5,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,4,2,5,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[6,4,2,7,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,4,2,7,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,4,2,7,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[6,4,3,1,2,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[6,4,3,1,2,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[6,4,3,1,5,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,4,3,1,5,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[6,4,3,1,7,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[6,4,3,2,1,5,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[6,4,3,2,1,7,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[6,4,3,2,7,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[6,4,3,5,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,4,3,5,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,4,3,5,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[6,4,3,5,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[6,4,3,5,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,4,3,5,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6
[6,4,3,7,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,4,3,7,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,4,3,7,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[6,4,3,7,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[6,4,3,7,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,4,3,7,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6
[6,4,5,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,4,5,1,2,7,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,4,5,1,3,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,4,5,1,3,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,4,5,1,7,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,4,5,1,7,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,4,5,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,4,5,2,1,7,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,4,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,4,5,2,3,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[6,4,5,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,4,5,2,7,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[6,4,5,3,1,2,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,4,5,3,1,7,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,4,5,3,2,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[6,4,5,3,2,7,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[6,4,5,3,7,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,4,5,3,7,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6
[6,4,5,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[6,4,5,7,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[6,4,5,7,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[6,4,5,7,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[6,4,5,7,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[6,4,5,7,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 6
[6,4,7,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,4,7,1,2,5,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,4,7,1,3,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,4,7,1,3,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,4,7,1,5,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,4,7,2,1,3,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,4,7,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,4,7,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,4,7,2,3,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[6,4,7,3,1,2,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,4,7,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,4,7,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[6,4,7,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[6,4,7,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,4,7,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6
[6,4,7,5,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[6,4,7,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[6,4,7,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[6,4,7,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[6,4,7,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[6,4,7,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 6
[6,5,1,2,3,4,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[6,5,1,2,3,7,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[6,5,1,2,4,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[6,5,1,2,4,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[6,5,1,2,7,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[6,5,1,2,7,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[6,5,1,3,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,5,1,3,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,5,1,3,4,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,5,1,3,4,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[6,5,1,3,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,5,1,3,7,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[6,5,1,4,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,5,1,4,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,5,1,4,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,5,1,4,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[6,5,1,4,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[6,5,1,4,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[6,5,1,7,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[6,5,1,7,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,5,1,7,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,5,1,7,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[6,5,1,7,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,5,2,1,3,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[6,5,2,1,3,7,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[6,5,2,1,4,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,5,2,1,4,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[6,5,2,1,7,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[6,5,2,3,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,5,2,3,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,5,2,3,4,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,5,2,3,4,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[6,5,2,3,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,5,2,3,7,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[6,5,2,4,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,5,2,4,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,5,2,4,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,5,2,4,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[6,5,2,4,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,5,2,4,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[6,5,2,7,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,5,2,7,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,5,2,7,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[6,5,3,1,2,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[6,5,3,1,2,7,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[6,5,3,1,4,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,5,3,1,4,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[6,5,3,1,7,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[6,5,3,2,1,4,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[6,5,3,2,1,7,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[6,5,3,2,4,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[6,5,3,2,4,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[6,5,3,2,7,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[6,5,3,2,7,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[6,5,3,4,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,5,3,4,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[6,5,3,4,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[6,5,3,4,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6
[6,5,3,7,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,5,3,7,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[6,5,3,7,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[6,5,3,7,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6
[6,5,4,1,2,3,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[6,5,4,1,2,7,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[6,5,4,1,3,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,5,4,1,3,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[6,5,4,1,7,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[6,5,4,2,1,3,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[6,5,4,2,1,7,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[6,5,4,2,3,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[6,5,4,2,3,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[6,5,4,2,7,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[6,5,4,2,7,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[6,5,4,3,1,2,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[6,5,4,3,1,7,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
[6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 7
[6,5,4,3,7,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[6,5,4,3,7,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7
[6,5,4,7,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[6,5,4,7,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[6,5,4,7,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[6,5,4,7,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[6,5,4,7,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[6,5,4,7,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 7
[6,5,7,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[6,5,7,1,2,4,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[6,5,7,1,3,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,5,7,1,3,4,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,5,7,1,4,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[6,5,7,2,1,3,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,5,7,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,5,7,2,3,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,5,7,2,3,4,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[6,5,7,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,5,7,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[6,5,7,3,1,2,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,5,7,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,5,7,3,2,1,4] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[6,5,7,3,2,4,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[6,5,7,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,5,7,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6
[6,5,7,4,1,2,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[6,5,7,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[6,5,7,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[6,5,7,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 7
[6,7,1,2,3,4,5] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 3
[6,7,1,2,3,5,4] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[6,7,1,2,4,3,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,7,1,2,4,5,3] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[6,7,1,2,5,3,4] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,7,1,2,5,4,3] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[6,7,1,3,2,4,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,7,1,3,2,5,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,7,1,3,4,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,7,1,3,4,5,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[6,7,1,3,5,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,7,1,3,5,4,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[6,7,1,4,2,3,5] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,7,1,4,2,5,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,7,1,4,3,2,5] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,7,1,4,3,5,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,7,1,4,5,2,3] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,7,1,4,5,3,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[6,7,1,5,2,3,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,7,1,5,2,4,3] => [[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,7,1,5,3,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,7,1,5,3,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,7,1,5,4,2,3] => [[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 3
[6,7,2,1,3,4,5] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[6,7,2,1,3,5,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[6,7,2,1,4,3,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[6,7,2,1,4,5,3] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[6,7,2,1,5,3,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[6,7,2,1,5,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[6,7,2,3,1,4,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[6,7,2,3,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[6,7,2,3,4,1,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[6,7,2,3,4,5,1] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[6,7,2,3,5,1,4] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[6,7,2,3,5,4,1] => [[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 4
[6,7,2,4,1,3,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[6,7,2,4,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[6,7,2,4,3,1,5] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[6,7,2,4,3,5,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[6,7,2,4,5,1,3] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[6,7,2,4,5,3,1] => [[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 4
[6,7,2,5,1,3,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[6,7,2,5,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[6,7,2,5,3,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[6,7,2,5,3,4,1] => [[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 4
[6,7,2,5,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[6,7,3,1,2,4,5] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[6,7,3,1,2,5,4] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[6,7,3,1,4,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[6,7,3,1,4,5,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[6,7,3,1,5,2,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[6,7,3,1,5,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[6,7,3,2,1,4,5] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[6,7,3,2,1,5,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[6,7,3,2,4,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[6,7,3,2,4,5,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[6,7,3,2,5,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[6,7,3,2,5,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[6,7,3,4,1,2,5] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[6,7,3,4,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[6,7,3,4,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[6,7,3,4,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 4
[6,7,3,4,5,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 5
[6,7,3,5,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[6,7,3,5,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[6,7,3,5,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[6,7,3,5,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 4
[6,7,3,5,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 5
[6,7,4,1,2,3,5] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[6,7,4,1,2,5,3] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[6,7,4,1,3,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[6,7,4,1,3,5,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[6,7,4,1,5,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[6,7,4,1,5,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[6,7,4,2,1,3,5] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[6,7,4,2,1,5,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[6,7,4,2,3,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[6,7,4,2,3,5,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[6,7,4,2,5,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[6,7,4,2,5,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[6,7,4,3,1,2,5] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[6,7,4,3,1,5,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[6,7,4,3,2,1,5] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6
[6,7,4,3,2,5,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6
[6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[6,7,4,3,5,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 6
[6,7,4,5,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 4
[6,7,4,5,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[6,7,4,5,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[6,7,4,5,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 5
[6,7,4,5,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 5
[6,7,4,5,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 6
[6,7,5,1,2,3,4] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[6,7,5,1,2,4,3] => [[[.,[.,.]],.],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[6,7,5,1,3,2,4] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[6,7,5,1,3,4,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[6,7,5,1,4,2,3] => [[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[6,7,5,2,1,3,4] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[6,7,5,2,1,4,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[6,7,5,2,3,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[6,7,5,2,3,4,1] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 5
[6,7,5,2,4,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[6,7,5,2,4,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 5
[6,7,5,3,1,2,4] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[6,7,5,3,1,4,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[6,7,5,3,2,1,4] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6
[6,7,5,3,2,4,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6
[6,7,5,3,4,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 5
[6,7,5,3,4,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 6
[6,7,5,4,1,2,3] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 5
[6,7,5,4,1,3,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 5
[6,7,5,4,2,1,3] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6
[6,7,5,4,2,3,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 6
[6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 6
[6,7,5,4,3,2,1] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 7
[7,1,2,3,4,5,6] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[7,1,2,3,4,6,5] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[7,1,2,3,5,4,6] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[7,1,2,3,5,6,4] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[7,1,2,3,6,4,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[7,1,2,3,6,5,4] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[7,1,2,4,3,5,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[7,1,2,4,3,6,5] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[7,1,2,4,5,3,6] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[7,1,2,4,5,6,3] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[7,1,2,4,6,3,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[7,1,2,4,6,5,3] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[7,1,2,5,3,4,6] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[7,1,2,5,3,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[7,1,2,5,4,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[7,1,2,5,4,6,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[7,1,2,5,6,3,4] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[7,1,2,5,6,4,3] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[7,1,2,6,3,4,5] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[7,1,2,6,3,5,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[7,1,2,6,4,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[7,1,2,6,4,5,3] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[7,1,2,6,5,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[7,1,2,6,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[7,1,3,2,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[7,1,3,2,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[7,1,3,2,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[7,1,3,2,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[7,1,3,2,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[7,1,3,2,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[7,1,3,4,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,3,4,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[7,1,3,4,5,2,6] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[7,1,3,4,5,6,2] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[7,1,3,4,6,2,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[7,1,3,4,6,5,2] => [[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[7,1,3,5,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,3,5,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[7,1,3,5,4,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[7,1,3,5,4,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[7,1,3,5,6,2,4] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[7,1,3,5,6,4,2] => [[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[7,1,3,6,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,3,6,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[7,1,3,6,4,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[7,1,3,6,4,5,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[7,1,3,6,5,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[7,1,3,6,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 3
[7,1,4,2,3,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[7,1,4,2,3,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[7,1,4,2,5,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[7,1,4,2,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[7,1,4,2,6,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[7,1,4,2,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[7,1,4,3,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,4,3,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,1,4,3,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,4,3,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[7,1,4,3,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,4,3,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[7,1,4,5,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,4,5,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[7,1,4,5,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[7,1,4,5,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[7,1,4,5,6,2,3] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[7,1,4,5,6,3,2] => [[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[7,1,4,6,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,4,6,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[7,1,4,6,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[7,1,4,6,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[7,1,4,6,5,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[7,1,4,6,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 3
[7,1,5,2,3,4,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[7,1,5,2,3,6,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[7,1,5,2,4,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[7,1,5,2,4,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[7,1,5,2,6,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[7,1,5,2,6,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[7,1,5,3,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,5,3,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,1,5,3,4,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,5,3,4,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[7,1,5,3,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,5,3,6,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[7,1,5,4,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,5,4,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,1,5,4,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[7,1,5,4,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[7,1,5,4,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,5,4,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[7,1,5,6,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,5,6,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 3
[7,1,5,6,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[7,1,5,6,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[7,1,5,6,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[7,1,5,6,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 3
[7,1,6,2,3,4,5] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[7,1,6,2,3,5,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 3
[7,1,6,2,4,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[7,1,6,2,4,5,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 3
[7,1,6,2,5,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 3
[7,1,6,2,5,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 3
[7,1,6,3,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,6,3,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,1,6,3,4,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,6,3,4,5,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[7,1,6,3,5,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,6,3,5,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[7,1,6,4,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,6,4,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,1,6,4,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[7,1,6,4,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[7,1,6,4,5,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,6,4,5,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 3
[7,1,6,5,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,6,5,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,1,6,5,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[7,1,6,5,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 3
[7,1,6,5,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 3
[7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 3
[7,2,1,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[7,2,1,3,4,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[7,2,1,3,5,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,2,1,3,5,6,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[7,2,1,3,6,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,2,1,3,6,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[7,2,1,4,3,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,2,1,4,3,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,2,1,4,5,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,2,1,4,5,6,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[7,2,1,4,6,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,2,1,4,6,5,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[7,2,1,5,3,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,2,1,5,3,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,2,1,5,4,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,2,1,5,4,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,2,1,5,6,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,2,1,5,6,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[7,2,1,6,3,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,2,1,6,3,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,2,1,6,4,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,2,1,6,4,5,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,2,1,6,5,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[7,2,3,1,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,2,3,1,4,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,2,3,1,5,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,2,3,1,5,6,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,2,3,1,6,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,2,3,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,2,3,4,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,2,3,4,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,2,3,4,5,1,6] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[7,2,3,4,6,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[7,2,3,4,6,5,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 4
[7,2,3,5,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,2,3,5,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,2,3,5,4,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[7,2,3,5,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[7,2,3,5,6,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[7,2,3,5,6,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 4
[7,2,3,6,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,2,3,6,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,2,3,6,4,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[7,2,3,6,4,5,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 4
[7,2,3,6,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[7,2,3,6,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[7,2,4,1,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,2,4,1,3,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,2,4,1,5,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,2,4,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,2,4,1,6,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,2,4,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,2,4,3,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,2,4,3,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,2,4,3,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,2,4,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[7,2,4,3,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,2,4,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[7,2,4,5,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,2,4,5,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,2,4,5,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[7,2,4,5,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[7,2,4,5,6,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[7,2,4,5,6,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 4
[7,2,4,6,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,2,4,6,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,2,4,6,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[7,2,4,6,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[7,2,4,6,5,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[7,2,4,6,5,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[7,2,5,1,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,2,5,1,3,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,2,5,1,4,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,2,5,1,4,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,2,5,1,6,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,2,5,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,2,5,3,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,2,5,3,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,2,5,3,4,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,2,5,3,4,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[7,2,5,3,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,2,5,3,6,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[7,2,5,4,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,2,5,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,2,5,4,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[7,2,5,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[7,2,5,4,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,2,5,4,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[7,2,5,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,2,5,6,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,2,5,6,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[7,2,5,6,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 4
[7,2,5,6,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[7,2,5,6,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[7,2,6,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,2,6,1,3,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,2,6,1,4,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,2,6,1,4,5,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,2,6,1,5,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,2,6,3,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,2,6,3,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,2,6,3,4,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,2,6,3,4,5,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 4
[7,2,6,3,5,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,2,6,3,5,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 4
[7,2,6,4,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,2,6,4,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,2,6,4,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[7,2,6,4,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[7,2,6,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,2,6,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[7,2,6,5,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,2,6,5,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[7,2,6,5,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[7,3,1,2,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[7,3,1,2,4,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[7,3,1,2,5,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,3,1,2,5,6,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[7,3,1,2,6,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,3,1,2,6,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[7,3,1,4,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,3,1,4,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,3,1,4,5,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,3,1,4,5,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[7,3,1,4,6,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,3,1,4,6,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[7,3,1,5,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,3,1,5,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,3,1,5,4,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,3,1,5,4,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,3,1,5,6,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,3,1,5,6,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[7,3,1,6,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,3,1,6,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,3,1,6,4,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,3,1,6,4,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,3,1,6,5,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[7,3,2,1,4,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,3,2,1,4,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,3,2,1,5,4,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,3,2,1,5,6,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,3,2,1,6,4,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,3,2,4,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,3,2,4,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,3,2,4,5,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[7,3,2,4,6,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,3,2,4,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[7,3,2,5,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,3,2,5,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,3,2,5,4,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,3,2,5,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[7,3,2,5,6,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,3,2,5,6,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[7,3,2,6,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,3,2,6,4,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,3,2,6,4,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[7,3,4,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,3,4,1,2,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,3,4,1,5,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,3,4,1,5,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,3,4,1,6,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,3,4,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,3,4,2,1,5,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,3,4,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,3,4,2,5,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,3,4,2,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[7,3,4,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,3,4,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[7,3,4,5,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,3,4,5,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,3,4,5,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[7,3,4,5,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[7,3,4,5,6,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 4
[7,3,4,5,6,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 5
[7,3,4,6,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,3,4,6,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,3,4,6,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[7,3,4,6,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[7,3,4,6,5,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 4
[7,3,4,6,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 5
[7,3,5,1,2,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,3,5,1,2,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,3,5,1,4,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,3,5,1,4,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,3,5,1,6,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,3,5,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,3,5,2,1,4,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,3,5,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,3,5,2,4,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,3,5,2,4,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[7,3,5,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,3,5,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[7,3,5,4,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,3,5,4,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,3,5,4,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[7,3,5,4,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[7,3,5,4,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,3,5,4,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[7,3,5,6,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,3,5,6,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,3,5,6,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[7,3,5,6,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[7,3,5,6,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[7,3,5,6,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 5
[7,3,6,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,3,6,1,2,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,3,6,1,4,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,3,6,1,4,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,3,6,1,5,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,3,6,2,1,4,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,3,6,2,4,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,3,6,2,4,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[7,3,6,4,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,3,6,4,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,3,6,4,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[7,3,6,4,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[7,3,6,4,5,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 4
[7,3,6,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 5
[7,3,6,5,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 5
[7,4,1,2,3,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[7,4,1,2,3,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[7,4,1,2,5,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,4,1,2,5,6,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[7,4,1,2,6,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,4,1,2,6,5,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[7,4,1,3,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,4,1,3,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,4,1,3,5,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,4,1,3,5,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[7,4,1,3,6,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,4,1,3,6,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[7,4,1,5,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,4,1,5,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,4,1,5,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,4,1,5,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,4,1,5,6,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,4,1,5,6,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[7,4,1,6,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,4,1,6,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,4,1,6,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,4,1,6,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,4,1,6,5,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[7,4,2,1,3,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,4,2,1,3,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,4,2,1,5,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,4,2,1,5,6,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,4,2,1,6,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,4,2,3,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,4,2,3,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,4,2,3,5,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,4,2,3,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[7,4,2,3,6,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,4,2,3,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[7,4,2,5,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,4,2,5,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,4,2,5,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,4,2,5,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[7,4,2,5,6,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,4,2,5,6,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[7,4,2,6,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,4,2,6,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,4,2,6,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[7,4,3,1,2,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,4,3,1,2,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,4,3,1,5,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,4,3,1,5,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,4,3,1,6,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,4,3,2,1,5,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,4,3,2,1,6,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,4,3,2,5,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[7,4,3,2,6,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[7,4,3,5,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,4,3,5,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,4,3,5,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,4,3,5,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[7,4,3,5,6,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,4,3,5,6,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6
[7,4,3,6,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,4,3,6,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,4,3,6,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,4,3,6,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[7,4,3,6,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,4,3,6,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6
[7,4,5,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,4,5,1,2,6,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,4,5,1,3,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,4,5,1,3,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,4,5,1,6,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,4,5,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,4,5,2,1,3,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,4,5,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,4,5,2,3,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[7,4,5,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,4,5,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[7,4,5,3,1,2,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,4,5,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,4,5,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[7,4,5,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[7,4,5,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,4,5,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6
[7,4,5,6,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 4
[7,4,5,6,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[7,4,5,6,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[7,4,5,6,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 5
[7,4,5,6,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 5
[7,4,5,6,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 6
[7,4,6,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,4,6,1,2,5,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,4,6,1,3,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,4,6,1,3,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,4,6,1,5,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,4,6,2,1,3,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,4,6,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,4,6,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,4,6,2,3,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[7,4,6,3,1,2,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,4,6,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,4,6,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[7,4,6,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[7,4,6,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,4,6,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6
[7,4,6,5,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 4
[7,4,6,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[7,4,6,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[7,4,6,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 5
[7,4,6,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 5
[7,4,6,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 6
[7,5,1,2,3,4,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[7,5,1,2,3,6,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[7,5,1,2,4,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,5,1,2,4,6,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[7,5,1,2,6,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,5,1,2,6,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[7,5,1,3,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,5,1,3,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,5,1,3,4,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,5,1,3,4,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[7,5,1,3,6,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,5,1,3,6,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[7,5,1,4,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,5,1,4,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,5,1,4,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,5,1,4,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,5,1,4,6,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,5,1,4,6,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[7,5,1,6,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,5,1,6,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,5,1,6,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,5,1,6,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,5,1,6,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[7,5,2,1,3,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,5,2,1,3,6,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,5,2,1,4,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,5,2,1,4,6,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,5,2,1,6,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,5,2,3,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,5,2,3,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,5,2,3,4,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,5,2,3,4,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[7,5,2,3,6,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,5,2,3,6,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[7,5,2,4,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,5,2,4,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,5,2,4,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,5,2,4,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[7,5,2,4,6,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,5,2,4,6,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[7,5,2,6,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,5,2,6,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,5,2,6,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[7,5,3,1,2,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,5,3,1,2,6,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,5,3,1,4,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,5,3,1,4,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,5,3,1,6,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,5,3,2,1,4,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,5,3,2,1,6,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,5,3,2,4,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,5,3,2,4,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[7,5,3,2,6,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,5,3,2,6,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[7,5,3,4,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,5,3,4,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,5,3,4,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[7,5,3,4,6,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,5,3,4,6,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6
[7,5,3,6,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,5,3,6,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,5,3,6,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[7,5,3,6,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,5,3,6,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6
[7,5,4,1,2,3,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,5,4,1,2,6,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,5,4,1,3,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,5,4,1,3,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,5,4,1,6,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,5,4,2,1,3,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,5,4,2,1,6,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,5,4,2,3,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,5,4,2,3,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[7,5,4,2,6,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,5,4,2,6,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[7,5,4,3,1,2,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,5,4,3,1,6,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
[7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 7
[7,5,4,3,6,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,5,4,3,6,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7
[7,5,4,6,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,5,4,6,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,5,4,6,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,5,4,6,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[7,5,4,6,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,5,4,6,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 7
[7,5,6,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 4
[7,5,6,1,2,4,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[7,5,6,1,3,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,5,6,1,3,4,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,5,6,1,4,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[7,5,6,2,1,3,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,5,6,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,5,6,2,3,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,5,6,2,3,4,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 5
[7,5,6,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,5,6,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 5
[7,5,6,3,1,2,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,5,6,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,5,6,3,2,1,4] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[7,5,6,3,2,4,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[7,5,6,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,5,6,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 6
[7,5,6,4,1,2,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 5
[7,5,6,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 5
[7,5,6,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 6
[7,5,6,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 6
[7,5,6,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 7
[7,6,1,2,3,4,5] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 4
[7,6,1,2,3,5,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[7,6,1,2,4,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,6,1,2,4,5,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[7,6,1,2,5,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[7,6,1,2,5,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[7,6,1,3,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,6,1,3,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,6,1,3,4,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,6,1,3,4,5,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[7,6,1,3,5,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,6,1,3,5,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[7,6,1,4,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,6,1,4,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,6,1,4,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,6,1,4,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,6,1,4,5,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[7,6,1,4,5,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[7,6,1,5,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[7,6,1,5,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,6,1,5,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,6,1,5,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[7,6,1,5,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[7,6,2,1,3,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,6,2,1,3,5,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,6,2,1,4,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,6,2,1,4,5,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,6,2,1,5,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,6,2,3,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,6,2,3,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,6,2,3,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,6,2,3,4,5,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 5
[7,6,2,3,5,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,6,2,3,5,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 5
[7,6,2,4,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,6,2,4,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,6,2,4,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,6,2,4,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[7,6,2,4,5,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,6,2,4,5,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 5
[7,6,2,5,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,6,2,5,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,6,2,5,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 5
[7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 5
[7,6,3,1,2,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,6,3,1,2,5,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,6,3,1,4,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,6,3,1,4,5,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,6,3,1,5,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,6,3,2,1,4,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,6,3,2,1,5,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,6,3,2,4,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,6,3,2,4,5,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[7,6,3,2,5,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,6,3,2,5,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[7,6,3,4,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,6,3,4,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,6,3,4,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,6,3,4,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[7,6,3,4,5,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 5
[7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 6
[7,6,3,5,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,6,3,5,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,6,3,5,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,6,3,5,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[7,6,3,5,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 5
[7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 6
[7,6,4,1,2,3,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,6,4,1,2,5,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,6,4,1,3,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,6,4,1,3,5,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,6,4,1,5,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,6,4,2,1,3,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,6,4,2,1,5,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,6,4,2,3,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,6,4,2,3,5,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[7,6,4,2,5,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,6,4,2,5,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[7,6,4,3,1,2,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,6,4,3,1,5,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,6,4,3,2,1,5] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
[7,6,4,3,2,5,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 7
[7,6,4,3,5,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7
[7,6,4,5,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 5
[7,6,4,5,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 5
[7,6,4,5,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,6,4,5,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 6
[7,6,4,5,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 6
[7,6,4,5,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 7
[7,6,5,1,2,3,4] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 5
[7,6,5,1,2,4,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 5
[7,6,5,1,3,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,6,5,1,3,4,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 5
[7,6,5,1,4,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 5
[7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 5
[7,6,5,2,1,3,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,6,5,2,1,4,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,6,5,2,3,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,6,5,2,3,4,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 6
[7,6,5,2,4,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,6,5,2,4,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 6
[7,6,5,3,1,2,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,6,5,3,1,4,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,6,5,3,2,1,4] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
[7,6,5,3,2,4,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 7
[7,6,5,3,4,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 6
[7,6,5,3,4,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 7
[7,6,5,4,1,2,3] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 6
[7,6,5,4,1,3,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 6
[7,6,5,4,2,1,3] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
[7,6,5,4,2,3,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 7
[7,6,5,4,3,1,2] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 7
[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 8
[8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 9
[7,8,6,5,4,3,2,1] => [[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => 8
[8,6,7,5,4,3,2,1] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 8
[7,6,8,5,4,3,2,1] => [[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => 8
[6,7,8,5,4,3,2,1] => [[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => 7
[8,7,5,6,4,3,2,1] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 8
[7,8,5,6,4,3,2,1] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 7
[8,6,5,7,4,3,2,1] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 8
[8,5,6,7,4,3,2,1] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 7
[7,6,5,8,4,3,2,1] => [[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => 8
[6,7,5,8,4,3,2,1] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 7
[7,5,6,8,4,3,2,1] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 7
[6,5,7,8,4,3,2,1] => [[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => 7
[5,6,7,8,4,3,2,1] => [[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => 6
[8,7,6,4,5,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 8
[7,8,6,4,5,3,2,1] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 7
[8,6,7,4,5,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 7
[8,7,5,4,6,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 8
[8,7,4,5,6,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 7
[8,5,6,4,7,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 7
[8,6,4,5,7,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 7
[7,6,5,4,8,3,2,1] => [[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => 8
[6,7,5,4,8,3,2,1] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 7
[7,5,6,4,8,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 7
[6,5,7,4,8,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 7
[7,6,4,5,8,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 7
[7,5,4,6,8,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 7
[6,5,4,7,8,3,2,1] => [[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => 7
[8,7,6,5,3,4,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 8
[8,7,6,4,3,5,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 8
[8,7,5,4,3,6,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 8
[8,6,5,4,3,7,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 8
[8,3,4,5,6,7,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 5
[7,6,5,4,3,8,2,1] => [[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => 8
[7,3,4,5,6,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 5
[6,3,4,5,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 5
[5,3,4,6,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 5
[4,3,5,6,7,8,2,1] => [[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => 5
[3,4,5,6,7,8,2,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4
[8,7,6,5,4,2,3,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 8
[7,8,6,5,4,2,3,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 7
[8,6,7,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 7
[7,6,8,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 7
[8,7,5,6,4,2,3,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[8,6,5,7,4,2,3,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[7,6,5,8,4,2,3,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[4,5,6,7,8,2,3,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[8,7,6,5,3,2,4,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 8
[7,8,6,5,3,2,4,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 7
[8,6,7,5,3,2,4,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 7
[7,6,8,5,3,2,4,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 7
[6,7,8,5,3,2,4,1] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 6
[8,7,5,6,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[8,6,5,7,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[7,6,5,8,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[8,7,6,4,3,2,5,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 8
[7,6,8,4,3,2,5,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 7
[6,7,8,2,3,4,5,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[7,8,5,4,3,2,6,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 7
[7,8,2,3,4,5,6,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[8,6,5,4,3,2,7,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 8
[8,5,4,6,3,2,7,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[8,2,3,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[7,6,5,4,3,2,8,1] => [[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => 8
[6,7,5,4,3,2,8,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 7
[6,5,7,4,3,2,8,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 7
[7,6,4,5,3,2,8,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[3,4,5,6,7,2,8,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[5,6,7,2,3,4,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[6,7,2,3,4,5,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[7,2,3,4,5,6,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[4,5,6,2,3,7,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[6,2,3,4,5,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[3,4,5,2,6,7,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[4,5,2,3,6,7,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[5,2,3,4,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[3,4,2,5,6,7,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[4,2,3,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[3,2,4,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[2,3,4,5,6,7,8,1] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[8,7,6,5,4,3,1,2] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 8
[7,8,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7
[8,6,7,5,4,3,1,2] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[7,6,8,5,4,3,1,2] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[6,7,8,5,4,3,1,2] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 6
[8,7,5,6,4,3,1,2] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[8,6,5,7,4,3,1,2] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[7,6,5,8,4,3,1,2] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[4,5,6,7,8,3,1,2] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[7,8,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,5,8,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,4,5,3,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[8,3,4,5,6,7,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[6,7,4,5,3,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,4,7,3,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,3,4,5,6,8,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[6,3,4,5,7,8,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[5,3,4,6,7,8,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[4,3,5,6,7,8,1,2] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[3,4,5,6,7,8,1,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[8,7,6,5,4,2,1,3] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 8
[7,8,6,5,4,2,1,3] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7
[8,6,7,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[7,6,8,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[6,7,8,5,4,2,1,3] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 6
[8,7,5,6,4,2,1,3] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[7,6,5,8,4,2,1,3] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[4,5,6,7,8,2,1,3] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[5,6,7,8,4,1,2,3] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[8,4,5,6,7,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[7,4,5,6,8,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[6,4,5,7,8,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[5,4,6,7,8,1,2,3] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[4,5,6,7,8,1,2,3] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[8,7,6,5,3,2,1,4] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 8
[7,8,6,5,3,2,1,4] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7
[8,6,7,5,3,2,1,4] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[7,6,8,5,3,2,1,4] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[6,7,8,5,3,2,1,4] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 6
[8,7,5,6,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[8,6,5,7,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[7,6,5,8,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[7,8,5,6,2,3,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,5,8,2,3,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,7,8,3,1,2,4] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[5,6,7,8,2,1,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[6,7,8,5,1,2,3,4] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[8,7,6,4,3,2,1,5] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 8
[7,8,6,4,3,2,1,5] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7
[8,6,7,4,3,2,1,5] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[7,6,8,4,3,2,1,5] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[6,7,8,4,3,2,1,5] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 6
[6,7,8,4,1,2,3,5] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[6,7,8,3,1,2,4,5] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[6,7,8,2,1,3,4,5] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[8,7,5,4,3,2,1,6] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 8
[7,8,5,4,3,2,1,6] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7
[8,7,4,5,3,2,1,6] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[7,8,4,5,2,3,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,3,4,2,5,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[8,7,1,2,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[7,8,1,2,3,4,5,6] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[8,6,5,4,3,2,1,7] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 8
[8,5,6,4,3,2,1,7] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[8,6,4,5,3,2,1,7] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[8,2,3,4,5,6,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[8,3,4,5,6,1,2,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[8,6,1,2,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[8,2,3,4,5,1,6,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[8,5,1,2,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[8,4,1,2,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[8,3,1,2,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[8,2,1,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[8,1,2,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[7,6,5,4,3,2,1,8] => [[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 8
[6,7,5,4,3,2,1,8] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7
[7,5,6,4,3,2,1,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[6,5,7,4,3,2,1,8] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[5,6,7,4,3,2,1,8] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 6
[7,6,4,5,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[7,5,4,6,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[6,5,4,7,3,2,1,8] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[3,4,5,6,7,2,1,8] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[6,7,4,5,2,3,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,4,7,2,3,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,3,4,2,5,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,2,3,4,5,6,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[5,6,3,4,2,7,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,5,3,6,2,7,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,2,3,4,6,7,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[4,2,3,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[3,2,4,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[2,3,4,5,6,7,1,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[4,5,6,7,3,1,2,8] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[6,3,4,5,7,1,2,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[4,3,5,6,7,1,2,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[3,4,5,6,7,1,2,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,5,6,7,2,1,3,8] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[5,6,7,4,1,2,3,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[4,5,6,7,1,2,3,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,6,7,3,1,2,4,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[5,6,7,2,1,3,4,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[7,6,1,2,3,4,5,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[6,7,1,2,3,4,5,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[7,2,3,4,5,1,6,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[7,5,1,2,3,4,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[7,4,1,2,3,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[7,3,1,2,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[7,2,1,3,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[7,1,2,3,4,5,6,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[3,4,5,6,2,1,7,8] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[6,2,3,4,5,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,3,4,6,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[4,2,3,5,6,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[3,2,4,5,6,1,7,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[2,3,4,5,6,1,7,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,5,6,1,2,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,5,6,2,1,3,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[6,5,1,2,3,4,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[6,4,1,2,3,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[6,3,1,2,4,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[6,1,2,3,4,5,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[3,4,5,2,1,6,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[2,3,4,5,1,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,4,1,2,3,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[4,5,1,2,3,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[5,3,1,2,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[5,2,1,3,4,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[5,1,2,3,4,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[4,3,1,2,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[4,2,1,3,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[4,1,2,3,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[3,2,1,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 4
[2,3,1,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[3,1,2,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[2,1,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 2
[6,8,7,5,4,3,2,1] => [[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => 7
[5,8,7,6,4,3,2,1] => [[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => 6
[5,7,8,6,4,3,2,1] => [[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => 6
[6,5,8,7,4,3,2,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 7
[5,6,8,7,4,3,2,1] => [[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => 6
[5,7,6,8,4,3,2,1] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 6
[4,8,7,6,5,3,2,1] => [[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => 5
[4,7,8,6,5,3,2,1] => [[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => 5
[4,6,8,7,5,3,2,1] => [[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => 5
[4,5,8,7,6,3,2,1] => [[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => 5
[5,7,6,4,8,3,2,1] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 6
[4,7,6,5,8,3,2,1] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 5
[4,6,7,5,8,3,2,1] => [[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => 5
[3,8,7,6,5,4,2,1] => [[[.,[[[[[.,.],.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => 4
[3,7,8,6,5,4,2,1] => [[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => 4
[3,7,6,8,5,4,2,1] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 4
[3,7,6,5,8,4,2,1] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 4
[5,4,3,8,7,6,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 6
[3,4,5,6,8,7,2,1] => [[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => 4
[5,7,6,4,3,8,2,1] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 6
[5,4,7,6,3,8,2,1] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 6
[3,7,6,5,4,8,2,1] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 4
[3,5,4,7,6,8,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,8,7,6,5,4,3,1] => [[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[2,7,8,6,5,4,3,1] => [[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3
[2,7,6,8,5,4,3,1] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3
[2,3,4,6,7,8,5,1] => [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 3
[2,3,4,5,8,7,6,1] => [[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,4,5,7,8,6,1] => [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,4,5,6,8,7,1] => [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[5,7,6,4,3,2,8,1] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 6
[4,7,6,5,3,2,8,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 5
[2,3,4,5,7,6,8,1] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,4,6,5,7,8,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[3,2,5,4,6,7,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[2,3,5,4,6,7,8,1] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,4,3,5,6,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[1,8,7,6,5,4,3,2] => [.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[1,7,8,6,5,4,3,2] => [.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[1,6,8,7,5,4,3,2] => [.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[1,7,6,8,5,4,3,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[1,6,7,8,5,4,3,2] => [.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 2
[1,5,8,7,6,4,3,2] => [.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[1,6,5,8,7,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[1,7,6,5,8,4,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[1,6,7,5,8,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[1,5,7,6,8,4,3,2] => [.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 2
[1,5,6,7,8,4,3,2] => [.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 2
[1,4,8,7,6,5,3,2] => [.,[[[.,[[[[.,.],.],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[1,4,7,8,6,5,3,2] => [.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 2
[1,4,6,8,7,5,3,2] => [.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 2
[1,4,6,7,8,5,3,2] => [.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 2
[1,5,4,7,8,6,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[1,4,5,8,7,6,3,2] => [.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 2
[1,4,6,5,8,7,3,2] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[1,7,6,5,4,8,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,4,7,6,5,8,3,2] => [.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 2
[1,4,6,7,5,8,3,2] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[1,6,5,4,7,8,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[1,5,4,6,7,8,3,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[1,4,5,6,7,8,3,2] => [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 2
[1,3,8,7,6,5,4,2] => [.,[[.,[[[[[.,.],.],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,3,7,8,6,5,4,2] => [.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,3,6,8,7,5,4,2] => [.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,3,6,7,8,5,4,2] => [.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,3,5,8,7,6,4,2] => [.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,3,5,7,8,6,4,2] => [.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,3,5,6,8,7,4,2] => [.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,3,6,7,5,8,4,2] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,3,6,5,7,8,4,2] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,3,5,6,7,8,4,2] => [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 2
[1,4,3,8,7,6,5,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[1,4,3,7,8,6,5,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[1,4,3,6,8,7,5,2] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[1,4,3,7,6,8,5,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[1,4,3,6,7,8,5,2] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[1,3,4,8,7,6,5,2] => [.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,3,4,7,6,8,5,2] => [.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 2
[1,3,4,6,7,8,5,2] => [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 2
[1,5,4,3,8,7,6,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[1,4,5,3,8,7,6,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[1,4,5,3,7,8,6,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[1,3,5,4,8,7,6,2] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,4,3,5,7,8,6,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[1,3,4,5,8,7,6,2] => [.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,3,4,5,7,8,6,2] => [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 2
[1,6,5,4,3,8,7,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,5,6,4,3,8,7,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[1,4,6,5,3,8,7,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[1,4,5,6,3,8,7,2] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[1,4,3,6,5,8,7,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[1,5,4,3,6,8,7,2] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[1,4,5,3,6,8,7,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[1,3,4,5,6,8,7,2] => [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,7,6,5,4,3,8,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,6,7,5,4,3,8,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[1,6,5,7,4,3,8,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[1,4,6,7,5,3,8,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[1,5,6,4,7,3,8,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[1,4,6,5,7,3,8,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[1,5,4,6,7,3,8,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[1,4,5,6,7,3,8,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[1,3,6,5,7,4,8,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,3,5,6,7,4,8,2] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,3,4,6,7,5,8,2] => [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 2
[1,3,5,4,7,6,8,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,3,4,5,7,6,8,2] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[1,5,4,6,3,7,8,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,4,3,6,5,7,8,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[1,3,4,6,5,7,8,2] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[1,5,4,3,6,7,8,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[1,4,5,3,6,7,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[1,4,3,5,6,7,8,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[1,3,4,5,6,7,8,2] => [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[2,1,8,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[2,1,7,8,6,5,4,3] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[2,1,6,8,7,5,4,3] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3
[2,1,7,6,8,5,4,3] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[2,1,6,7,8,5,4,3] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[2,1,5,8,7,6,4,3] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3
[2,1,5,7,8,6,4,3] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3
[2,1,6,5,8,7,4,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[2,1,5,6,8,7,4,3] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3
[2,1,7,6,5,8,4,3] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[2,1,6,7,5,8,4,3] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[2,1,5,7,6,8,4,3] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[2,1,6,5,7,8,4,3] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[2,1,5,6,7,8,4,3] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[2,1,4,8,7,6,5,3] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[2,1,4,7,8,6,5,3] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[2,1,4,6,8,7,5,3] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3
[2,1,4,6,7,8,5,3] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3
[2,1,5,4,8,7,6,3] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,1,5,4,7,8,6,3] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,1,4,5,8,7,6,3] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,4,5,7,8,6,3] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,6,5,4,8,7,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,1,5,6,4,8,7,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,1,4,6,5,8,7,3] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,5,4,6,8,7,3] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,1,4,5,6,8,7,3] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[2,1,7,6,5,4,8,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[2,1,6,7,5,4,8,3] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[2,1,5,7,6,4,8,3] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[2,1,6,5,7,4,8,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,5,6,7,4,8,3] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[2,1,4,7,6,5,8,3] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,1,4,6,7,5,8,3] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[2,1,5,4,7,6,8,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,5,6,4,7,8,3] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,1,5,4,6,7,8,3] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,1,4,5,6,7,8,3] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,2,8,7,6,5,4,3] => [.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,2,7,8,6,5,4,3] => [.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,2,6,7,8,5,4,3] => [.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,2,5,8,7,6,4,3] => [.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,2,6,5,8,7,4,3] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,2,5,6,8,7,4,3] => [.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,2,7,6,5,8,4,3] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,2,5,7,6,8,4,3] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,2,6,5,7,8,4,3] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,2,5,6,7,8,4,3] => [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 2
[1,2,4,8,7,6,5,3] => [.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,2,4,7,8,6,5,3] => [.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,2,4,6,8,7,5,3] => [.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[1,2,4,6,7,8,5,3] => [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 2
[1,2,5,4,8,7,6,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,2,5,4,7,8,6,3] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[1,2,4,5,8,7,6,3] => [.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,2,4,5,7,8,6,3] => [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 2
[1,2,4,6,5,8,7,3] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[1,2,5,4,6,8,7,3] => [.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,2,4,5,6,8,7,3] => [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,2,7,6,5,4,8,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,5,7,6,4,8,3] => [.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,2,5,6,7,4,8,3] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,2,4,7,6,5,8,3] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,2,5,4,7,6,8,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,2,6,5,4,7,8,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,2,5,4,6,7,8,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,2,4,5,6,7,8,3] => [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 2
[2,3,1,5,7,8,6,4] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[2,3,1,6,7,5,8,4] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,3,2,8,7,6,5,4] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,3,2,6,8,7,5,4] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,3,2,7,6,8,5,4] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,3,2,6,7,8,5,4] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[1,3,2,5,8,7,6,4] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,3,2,5,7,8,6,4] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,3,2,6,5,8,7,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,3,2,5,6,8,7,4] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,3,2,7,6,5,8,4] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,3,2,6,7,5,8,4] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,3,2,6,5,7,8,4] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,3,2,5,6,7,8,4] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[2,1,3,8,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[2,1,3,7,8,6,5,4] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[2,1,3,6,8,7,5,4] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3
[2,1,3,6,5,8,7,4] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[2,1,3,5,6,7,8,4] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,2,3,8,7,6,5,4] => [.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,2,3,7,8,6,5,4] => [.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,2,3,6,8,7,5,4] => [.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,2,3,7,6,8,5,4] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,2,3,6,7,8,5,4] => [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 2
[1,2,3,5,8,7,6,4] => [.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,2,3,5,7,8,6,4] => [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,2,3,6,5,8,7,4] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,2,3,5,6,8,7,4] => [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,2,3,7,6,5,8,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,2,3,6,7,5,8,4] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,2,3,5,7,6,8,4] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,2,3,6,5,7,8,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,2,3,5,6,7,8,4] => [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 2
[4,3,2,1,8,7,6,5] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[4,3,2,1,7,8,6,5] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[3,4,2,1,8,7,6,5] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[3,4,2,1,7,8,6,5] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,4,3,2,8,7,6,5] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,4,3,2,6,8,7,5] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[1,4,3,2,7,6,8,5] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,4,3,2,6,7,8,5] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[1,3,4,2,8,7,6,5] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,3,4,2,7,8,6,5] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,3,4,2,6,8,7,5] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,3,4,2,7,6,8,5] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,3,4,2,6,7,8,5] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[2,1,4,3,8,7,6,5] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,1,4,3,7,8,6,5] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,1,4,3,6,8,7,5] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,1,4,3,7,6,8,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,4,3,6,7,8,5] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,2,4,3,8,7,6,5] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,4,3,7,8,6,5] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,2,4,3,7,6,8,5] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,2,4,3,6,7,8,5] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[2,3,1,4,8,7,6,5] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[2,3,1,4,7,8,6,5] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[2,3,1,4,7,6,8,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[2,3,1,4,6,7,8,5] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,3,2,4,8,7,6,5] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,3,2,4,6,8,7,5] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,3,2,4,7,6,8,5] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,3,2,4,6,7,8,5] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[2,1,3,4,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[2,1,3,4,7,8,6,5] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[2,1,3,4,7,6,8,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[2,1,3,4,6,7,8,5] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,2,3,4,8,7,6,5] => [.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,2,3,4,7,8,6,5] => [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 2
[1,2,3,4,6,8,7,5] => [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,2,3,4,7,6,8,5] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,2,3,4,6,7,8,5] => [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 2
[2,4,5,3,1,7,8,6] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,4,2,5,1,7,8,6] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,5,4,3,2,8,7,6] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,5,4,3,2,7,8,6] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,4,5,3,2,8,7,6] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,4,5,3,2,7,8,6] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,3,5,4,2,7,8,6] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,3,4,5,2,8,7,6] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,3,4,5,2,7,8,6] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[2,1,5,4,3,8,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,4,5,3,8,7,6] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,2,5,4,3,8,7,6] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,2,5,4,3,7,8,6] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,2,4,5,3,8,7,6] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,2,4,5,3,7,8,6] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,3,2,5,4,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,2,5,4,7,8,6] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[2,1,3,5,4,8,7,6] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[2,1,3,5,4,7,8,6] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,2,3,5,4,8,7,6] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,3,5,4,7,8,6] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,4,3,2,5,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,4,3,2,5,7,8,6] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,3,4,2,5,7,8,6] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,1,4,3,5,8,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,1,4,3,5,7,8,6] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,2,4,3,5,8,7,6] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,4,3,5,7,8,6] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,2,1,4,5,7,8,6] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[2,3,1,4,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,3,2,4,5,8,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,3,2,4,5,7,8,6] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,1,3,4,5,8,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[2,1,3,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,2,3,4,5,8,7,6] => [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,2,3,4,5,7,8,6] => [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,5,4,3,2,1,8,7] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[5,6,4,3,2,1,8,7] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[4,6,5,3,2,1,8,7] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[5,4,6,3,2,1,8,7] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[4,5,6,3,2,1,8,7] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[3,6,5,4,2,1,8,7] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[5,4,3,6,2,1,8,7] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[3,4,5,6,2,1,8,7] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[2,6,5,4,3,1,8,7] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[2,3,4,5,6,1,8,7] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,6,5,4,3,2,8,7] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,5,6,4,3,2,8,7] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,5,4,6,3,2,8,7] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,3,6,5,4,2,8,7] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,4,5,6,2,8,7] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[2,1,6,5,4,3,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,1,5,6,4,3,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,1,4,6,5,3,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,1,5,4,6,3,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,4,5,6,3,8,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,2,4,5,6,3,8,7] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,2,6,5,4,8,7] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,3,2,5,6,4,8,7] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[2,1,3,6,5,4,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,3,5,6,4,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,2,3,6,5,4,8,7] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,3,5,6,4,8,7] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[4,3,2,1,6,5,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,4,2,1,6,5,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,4,2,6,5,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,1,4,3,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,2,4,3,6,5,8,7] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,3,1,4,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,3,2,4,6,5,8,7] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,1,3,4,6,5,8,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,2,3,4,6,5,8,7] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,3,4,5,1,6,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,4,5,3,2,6,8,7] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,3,5,4,2,6,8,7] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[2,1,5,4,3,6,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,1,4,5,3,6,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,2,5,4,3,6,8,7] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,2,3,5,4,6,8,7] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,4,3,2,5,6,8,7] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,3,4,2,5,6,8,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,1,4,3,5,6,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,2,4,3,5,6,8,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,2,1,4,5,6,8,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[2,3,1,4,5,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,3,2,4,5,6,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,3,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,2,3,4,5,6,8,7] => [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,7,6,4,3,2,1,8] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6
[4,7,6,5,3,2,1,8] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 5
[5,4,7,6,3,2,1,8] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[4,5,7,6,3,2,1,8] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 5
[5,4,3,7,6,2,1,8] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[2,4,6,7,5,3,1,8] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[2,5,6,4,7,3,1,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[3,4,2,6,7,5,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[3,5,6,4,2,7,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,7,6,5,4,3,2,8] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,6,7,5,4,3,2,8] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[1,6,5,7,4,3,2,8] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[1,5,6,7,4,3,2,8] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2
[1,4,7,6,5,3,2,8] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[1,4,6,7,5,3,2,8] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[1,5,6,4,7,3,2,8] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[1,5,4,6,7,3,2,8] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[1,3,6,7,5,4,2,8] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,3,5,7,6,4,2,8] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,3,6,5,7,4,2,8] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,3,5,6,7,4,2,8] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,3,4,6,7,5,2,8] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,3,5,4,7,6,2,8] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,4,3,5,7,6,2,8] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[1,3,4,5,7,6,2,8] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,5,4,6,3,7,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,4,5,6,3,7,2,8] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,3,6,5,4,7,2,8] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,3,5,6,4,7,2,8] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,3,6,5,7,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,4,6,5,7,2,8] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,5,4,3,6,7,2,8] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,4,5,3,6,7,2,8] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,4,3,5,6,7,2,8] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,5,6,7,2,8] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[2,1,7,6,5,4,3,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,1,6,7,5,4,3,8] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,1,5,6,7,4,3,8] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,1,5,4,6,7,3,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,1,4,5,6,7,3,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,2,7,6,5,4,3,8] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,2,6,7,5,4,3,8] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,2,5,7,6,4,3,8] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,2,5,6,7,4,3,8] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,2,4,6,7,5,3,8] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,2,5,6,4,7,3,8] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,2,4,6,5,7,3,8] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,2,5,4,6,7,3,8] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,2,4,5,6,7,3,8] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[3,2,1,7,6,5,4,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,3,2,7,6,5,4,8] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,3,2,6,7,5,4,8] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,3,2,5,7,6,4,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,3,2,6,5,7,4,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,3,2,5,6,7,4,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[2,1,3,6,7,5,4,8] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,2,3,7,6,5,4,8] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,3,6,7,5,4,8] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,2,3,5,7,6,4,8] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,2,3,6,5,7,4,8] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,3,5,6,7,4,8] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,4,3,2,7,6,5,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,3,2,6,7,5,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,4,2,6,7,5,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[2,1,4,3,6,7,5,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,2,4,3,6,7,5,8] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[2,3,1,4,6,7,5,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,3,2,4,7,6,5,8] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,3,2,4,6,7,5,8] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,3,4,7,6,5,8] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,3,4,6,7,5,8] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,5,4,3,2,7,6,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,4,5,3,2,7,6,8] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,3,5,4,2,7,6,8] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,4,3,5,2,7,6,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,4,5,2,7,6,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[2,1,5,4,3,7,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,2,4,5,3,7,6,8] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,2,5,4,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,5,4,7,6,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,3,2,5,7,6,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,3,4,2,5,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,4,3,5,7,6,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,3,1,4,5,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,3,2,4,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,1,3,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,2,3,4,5,7,6,8] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,5,4,3,2,7,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,5,6,4,3,2,7,8] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,4,6,5,3,2,7,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,5,4,6,3,2,7,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,4,5,6,3,2,7,8] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,3,5,6,4,2,7,8] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,4,3,6,5,2,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,5,4,3,6,2,7,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,4,5,3,6,2,7,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,4,3,5,6,2,7,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,3,4,5,6,2,7,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[2,1,5,6,4,3,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,1,4,6,5,3,7,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,2,6,5,4,3,7,8] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,2,4,6,5,3,7,8] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,2,4,5,6,3,7,8] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,3,2,6,5,4,7,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,3,2,5,6,4,7,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,3,6,5,4,7,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,3,5,6,4,7,8] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[2,1,4,3,6,5,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,2,4,3,6,5,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,2,4,6,5,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[2,1,3,4,6,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,2,3,4,6,5,7,8] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[2,3,5,4,1,6,7,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,5,4,3,2,6,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,4,5,3,2,6,7,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,4,3,5,2,6,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,3,4,5,2,6,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[2,1,5,4,3,6,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,1,4,5,3,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,2,5,4,3,6,7,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,2,4,5,3,6,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[2,3,1,5,4,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,3,2,5,4,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[2,1,3,5,4,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,2,3,5,4,6,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[2,4,3,1,5,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,4,3,2,5,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,3,4,2,5,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[2,1,4,3,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[1,2,4,3,5,6,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,3,2,4,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,2,3,4,8,6,7,5] => [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,2,3,5,8,6,7,4] => [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,2,3,7,5,6,4,8] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,3,7,5,6,8,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,2,3,8,5,6,7,4] => [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,2,3,8,5,7,6,4] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,2,3,8,6,5,7,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,2,3,8,6,7,5,4] => [.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,2,4,3,8,6,7,5] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,2,4,5,8,6,7,3] => [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 2
[1,2,4,7,5,6,8,3] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[1,2,4,8,5,6,7,3] => [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 2
[1,2,4,8,6,5,7,3] => [.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,2,6,4,5,7,8,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,2,7,4,5,6,8,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,2,8,4,5,6,7,3] => [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,2,8,4,6,7,5,3] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[1,2,8,4,7,6,5,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,2,7,5,4,6,3,8] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,2,7,5,4,6,8,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,2,8,5,4,6,7,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,2,8,5,6,4,7,3] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,2,8,5,6,7,4,3] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,2,8,6,5,4,7,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,2,8,6,5,7,4,3] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,2,8,7,5,6,4,3] => [.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,3,2,7,5,6,8,4] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,3,2,8,5,7,6,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,3,2,8,6,5,7,4] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,3,2,8,6,7,5,4] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,3,4,2,8,6,7,5] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,3,4,5,8,6,7,2] => [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 2
[1,3,4,8,5,6,7,2] => [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 2
[1,3,6,4,5,2,8,7] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,3,6,4,5,7,8,2] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,3,7,4,5,6,2,8] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,3,7,4,5,6,8,2] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,3,8,4,5,6,7,2] => [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 2
[1,3,8,4,6,5,7,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,3,8,4,6,7,5,2] => [.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 2
[1,3,8,5,4,6,7,2] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,3,8,5,4,7,6,2] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,3,8,5,6,7,4,2] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,3,8,5,7,6,4,2] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,3,8,6,5,7,4,2] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,3,8,7,5,6,4,2] => [.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,4,3,2,8,6,7,5] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,4,3,5,8,6,7,2] => [.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 2
[1,4,3,8,5,6,7,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[1,4,3,8,5,7,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[1,4,3,8,6,5,7,2] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[1,4,3,8,6,7,5,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[1,5,3,4,2,6,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,5,3,4,2,7,8,6] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,3,4,2,8,7,6] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,5,3,4,6,2,8,7] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,5,3,4,6,7,2,8] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,5,3,4,6,7,8,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[1,6,3,4,5,2,7,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,6,3,4,5,8,7,2] => [.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 2
[1,7,3,4,5,6,2,8] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,7,3,4,5,6,8,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[1,8,3,4,5,6,7,2] => [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 2
[1,8,3,4,6,7,5,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[1,8,3,4,7,6,5,2] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[1,6,3,5,4,2,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,6,3,5,4,8,7,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[1,7,3,5,4,6,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,3,5,4,6,7,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[1,8,3,5,4,7,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[1,8,3,5,6,4,7,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[1,8,3,5,6,7,4,2] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[1,8,3,5,7,6,4,2] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[1,7,3,6,5,4,2,8] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[1,7,3,6,5,4,8,2] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[1,8,3,6,5,4,7,2] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[1,8,3,7,5,6,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[1,8,3,7,6,5,4,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[1,6,4,3,5,2,7,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,6,4,3,5,8,7,2] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[1,8,4,3,5,6,7,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[1,8,4,3,5,7,6,2] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[1,7,4,3,6,5,8,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,8,4,3,6,5,7,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,8,4,3,6,7,5,2] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[1,6,4,5,3,2,7,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,6,4,5,3,2,8,7] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,6,4,5,3,8,7,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,7,4,5,3,6,8,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,8,4,5,3,6,7,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,7,4,5,6,3,8,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[1,8,4,5,6,3,7,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[1,8,4,5,6,7,3,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[1,7,4,6,5,3,2,8] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,8,4,6,5,3,7,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[1,8,4,6,5,7,3,2] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[1,8,4,7,6,5,3,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,7,5,4,3,6,8,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[1,8,5,4,3,6,7,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[1,8,5,4,3,7,6,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,8,5,4,6,3,7,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[1,8,5,4,6,7,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[1,8,5,4,7,6,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,7,6,4,5,3,2,8] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[1,8,6,4,5,3,7,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[1,8,6,4,5,7,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[1,8,7,4,5,6,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[1,8,7,4,6,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,8,6,5,4,3,7,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,8,6,5,4,7,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,8,7,5,4,6,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,8,7,5,6,4,3,2] => [.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[2,1,3,4,8,6,7,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[2,1,3,5,8,6,7,4] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[2,1,3,8,5,6,7,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[2,1,3,8,5,7,6,4] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[2,1,3,8,6,5,7,4] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[2,1,3,8,6,7,5,4] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[2,1,4,3,8,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,4,5,8,6,7,3] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[2,1,4,8,5,6,7,3] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,1,4,8,5,7,6,3] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,4,8,6,5,7,3] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,1,4,8,6,7,5,3] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[2,1,5,4,8,6,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,6,4,5,3,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,6,4,5,7,8,3] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,1,6,4,5,8,7,3] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,1,8,4,5,6,7,3] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,1,8,4,5,7,6,3] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,1,7,4,6,5,8,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,8,4,6,5,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,8,4,6,7,5,3] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,1,8,4,7,6,5,3] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,1,8,5,4,6,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[2,1,8,5,4,7,6,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,1,7,5,6,4,8,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,8,5,6,4,7,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,8,5,6,7,4,3] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[2,1,8,5,7,6,4,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[2,1,8,6,5,4,7,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[2,1,8,6,5,7,4,3] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[2,1,8,7,5,6,4,3] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[2,3,4,5,8,6,7,1] => [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,4,7,5,6,8,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,4,8,5,6,7,1] => [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,6,4,5,7,8,1] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,3,7,4,5,6,8,1] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,3,8,4,5,6,7,1] => [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,5,3,4,6,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[2,6,3,4,5,7,8,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[2,8,3,4,5,6,7,1] => [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => 3
[3,2,8,4,5,6,7,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[6,4,3,5,2,1,8,7] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[7,4,3,6,5,2,1,8] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,4,3,7,5,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[8,4,3,7,6,5,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 6
[6,5,3,4,2,1,8,7] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[7,6,3,5,4,2,1,8] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,6,3,5,4,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[8,7,3,5,4,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[8,7,3,6,5,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 6
[8,7,4,6,5,3,2,1] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 7
[2,4,1,3,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,4,6,3,5,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,4,3,6,8,5,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,4,1,3,6,8,5,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,4,6,3,8,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,4,6,8,3,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,6,8,1,3,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,1,3,6,5,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,4,6,3,5,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,1,6,3,5,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,4,6,3,7,5,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,4,6,7,1,3,5,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,1,3,6,7,8,5] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[2,1,4,6,3,7,8,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,1,4,6,7,3,8,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,6,7,1,3,8,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,4,6,7,8,3,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,4,6,7,8,1,3,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,4,3,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,4,1,3,7,5,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,4,7,3,5,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,4,3,7,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,4,1,3,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,4,7,8,3,5,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,7,8,1,3,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,1,3,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[2,1,4,5,7,3,8,6] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,5,7,8,1,3,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,4,3,8,5,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,4,1,3,8,5,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,4,8,3,5,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,1,8,3,5,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,4,3,5,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,1,4,5,8,3,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,5,6,1,3,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,4,5,6,8,3,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,4,5,6,8,1,3,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,1,3,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[2,4,1,5,3,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,4,5,6,1,3,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,4,5,6,7,1,3,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,5,6,7,1,8,3] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,5,6,7,8,1,3] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,1,5,3,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,5,1,3,6,4,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,5,6,3,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,5,3,6,8,4,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,5,1,3,6,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,5,6,8,3,4,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,5,6,8,1,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,5,1,3,6,4,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,5,3,6,7,4,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,1,5,6,3,7,4,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,5,6,7,3,4,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,5,3,6,7,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,5,1,3,6,7,8,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[2,1,5,6,3,7,8,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,1,5,6,7,3,8,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,5,6,7,1,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,5,6,7,8,3,4] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,5,6,7,8,1,3,4] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,5,3,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,5,1,3,7,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,5,7,3,4,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,5,3,7,8,4,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,5,1,3,7,8,4,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,5,7,3,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,5,7,8,3,4,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,5,7,8,1,3,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,1,5,7,3,4,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,5,7,1,4,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,5,7,8,1,4,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,5,3,8,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,5,1,3,8,4,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,5,8,3,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,5,1,8,3,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,3,5,8,4,6,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,3,5,8,1,4,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,1,5,3,4,6,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,3,5,6,8,1,4,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,5,3,4,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,5,1,3,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[2,3,5,6,1,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,5,6,7,1,4,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,5,6,7,8,1,4] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,1,6,3,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,6,1,3,7,4,8,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,6,7,3,4,8,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,6,3,7,8,4,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,6,1,3,7,8,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,6,7,8,3,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,6,7,8,1,3,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,6,1,7,3,4,5,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,6,1,3,4,7,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[2,1,6,3,4,7,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[2,6,1,3,4,7,8,5] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[2,1,3,6,7,4,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[2,1,3,6,7,8,4,5] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[2,3,6,7,8,1,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,6,3,8,4,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,6,1,3,8,4,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,6,8,3,4,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,6,1,8,3,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,6,3,4,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,6,1,3,4,8,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[2,1,3,6,4,8,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,6,3,4,5,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,6,1,3,4,5,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[2,1,3,6,4,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[2,3,4,6,8,1,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,6,1,3,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[2,1,3,6,4,5,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,3,1,6,4,5,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,3,4,6,1,5,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,4,6,7,1,5,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,4,6,7,8,1,5] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,1,7,3,8,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,7,1,3,8,4,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,1,7,8,3,4,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,7,1,8,3,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,7,3,4,8,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[2,1,3,7,4,8,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[2,1,3,7,8,4,5,6] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,3,7,8,1,4,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,1,7,3,4,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[2,7,1,3,4,5,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[2,1,3,4,7,5,8,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,3,4,7,1,5,8,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,3,4,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,3,1,4,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,3,4,7,8,1,5,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,7,3,4,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,7,1,3,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[2,1,3,4,7,5,6,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,3,1,4,7,5,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,3,4,7,1,5,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,3,4,5,7,1,6,8] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,4,5,7,1,8,6] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,5,7,8,1,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,1,8,3,4,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,8,1,3,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[2,1,3,8,4,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,3,1,8,4,5,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,1,3,4,8,5,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,3,1,4,8,5,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,3,4,8,1,5,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[2,1,3,4,5,8,6,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[2,3,1,4,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[2,3,4,5,8,1,6,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,4,5,6,8,1,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,1,4,2,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,4,1,2,6,5,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,1,4,6,2,5,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,4,2,6,8,5,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,4,1,2,6,8,5,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,4,6,2,8,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,1,4,6,8,2,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,6,8,1,2,5,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,4,1,2,6,5,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,4,2,6,7,5,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,4,1,2,6,7,5,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,4,6,7,1,2,5,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,1,4,2,6,7,8,5] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,4,1,2,6,7,8,5] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[3,1,4,6,2,7,8,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,1,4,6,7,2,8,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,6,7,1,2,8,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,4,6,7,8,2,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,4,6,7,8,1,2,5] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,1,4,2,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,4,1,2,7,5,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,1,4,7,2,5,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,4,2,7,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,4,1,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,4,7,8,1,2,5,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,1,4,2,7,5,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,4,1,2,7,5,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,4,1,2,5,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[3,1,4,5,2,7,6,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,4,5,7,1,2,6,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,1,4,2,5,7,8,6] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[3,4,1,2,5,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[3,1,4,5,2,7,8,6] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,1,4,5,7,2,8,6] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,5,7,1,2,8,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,4,5,7,8,2,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,4,5,7,8,1,2,6] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,1,4,2,8,5,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,4,1,2,8,5,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,4,8,2,5,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,4,1,8,2,5,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,4,2,5,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,4,1,2,5,8,6,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[3,1,4,5,8,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,5,8,1,2,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,4,1,2,5,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[3,1,4,5,6,2,8,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,5,6,1,2,8,7] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,4,5,6,8,2,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,4,5,6,8,1,2,7] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,1,4,2,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,1,4,5,2,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,4,1,5,2,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,4,5,6,7,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,1,4,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[3,4,5,6,7,1,8,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,1,5,2,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,5,1,2,6,4,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,1,5,6,2,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,5,2,6,8,4,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,5,1,2,6,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,5,6,2,8,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,1,5,6,8,2,4,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,5,6,8,1,2,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,1,5,6,2,4,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,5,1,6,2,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,5,1,2,6,7,4,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,5,6,7,1,2,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,1,5,2,6,7,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,5,1,2,6,7,8,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[3,1,5,6,2,7,8,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,1,5,6,7,2,8,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,5,6,7,1,2,8,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,5,6,7,8,2,4] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,5,6,7,8,1,2,4] => [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,1,5,2,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,5,1,2,7,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,1,5,7,2,4,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,5,2,7,8,4,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,5,1,2,7,8,4,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,5,7,2,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,1,5,7,8,2,4,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,5,7,8,1,2,4,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,1,5,2,7,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,5,1,2,7,4,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,5,7,2,4,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,5,1,7,2,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,5,2,4,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,5,1,2,4,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[3,1,2,5,4,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,3,5,2,4,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,1,2,5,7,4,6,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,3,2,5,7,4,6,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,5,2,7,4,6,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,5,7,2,4,6,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,5,1,2,4,7,8,6] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[3,1,2,5,7,4,8,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,3,5,2,7,4,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,5,7,2,4,8,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,2,5,7,8,4,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,3,5,2,7,8,4,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,5,7,2,8,4,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,5,7,8,2,4,6] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,1,5,2,8,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,5,1,2,8,4,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,5,8,2,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,5,1,8,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,5,2,4,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,5,1,2,4,8,6,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,3,2,5,4,8,6,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,5,2,4,8,6,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,1,2,5,8,4,6,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,3,2,5,8,4,6,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,5,2,8,4,6,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,5,8,2,4,6,7] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,5,1,2,4,6,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[3,1,2,5,4,6,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,3,5,2,4,6,8,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,3,5,2,6,4,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,5,6,2,4,8,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,1,2,5,6,8,4,7] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,3,5,2,6,8,4,7] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,5,6,2,8,4,7] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,5,6,8,2,4,7] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,5,1,2,4,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,3,5,2,4,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,3,5,6,2,4,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,1,2,5,6,7,4,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,3,5,2,6,7,4,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,5,6,2,7,4,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,5,6,7,2,4,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,1,2,5,6,7,8,4] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,3,5,6,7,2,8,4] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,5,6,7,8,2,4] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[3,1,6,2,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,6,1,2,7,4,8,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,6,1,2,7,8,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,6,7,2,8,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,6,7,8,1,2,4,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,1,6,7,2,4,5,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,1,6,2,4,7,5,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,6,1,2,4,7,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[3,1,2,6,4,7,5,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,3,2,6,4,7,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,2,6,7,4,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,6,2,7,4,5,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,1,6,2,4,7,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[3,6,1,2,4,7,8,5] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[3,1,2,6,4,7,8,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[3,1,2,6,7,4,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,3,2,6,7,4,8,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,6,2,7,4,8,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,6,7,2,4,8,5] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,1,2,6,7,8,4,5] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,3,2,6,7,8,4,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,3,6,2,7,8,4,5] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,6,7,8,2,4,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,6,1,2,8,4,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,6,8,2,4,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,6,1,8,2,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,6,2,4,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,6,1,2,4,8,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,3,2,6,4,8,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,6,2,4,8,5,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,1,2,6,8,4,5,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,3,2,6,8,4,5,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[3,1,6,2,4,5,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,6,1,2,4,5,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[3,1,2,6,4,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,3,6,2,4,5,8,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,2,4,6,5,8,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,3,4,6,2,5,8,7] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,2,4,6,8,5,7] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,3,4,6,8,2,5,7] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,6,1,2,4,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,3,2,6,4,5,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,3,6,2,4,5,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,3,4,6,2,5,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,1,2,4,6,7,5,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,3,4,6,2,7,5,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,4,6,7,2,5,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,1,2,4,6,7,8,5] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,3,4,6,7,2,8,5] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,1,7,2,8,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,7,1,2,8,4,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,7,8,2,4,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,7,1,8,2,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,7,1,2,4,8,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[3,1,2,7,4,8,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,3,2,7,4,8,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,7,2,4,8,5,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,1,2,7,8,4,5,6] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,3,7,2,8,4,5,6] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,7,8,2,4,5,6] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,1,7,2,4,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,7,1,2,4,5,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,3,7,2,4,5,8,6] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,2,4,7,5,8,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,3,2,4,7,5,8,6] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,3,4,2,7,5,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,4,7,2,5,8,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,1,2,4,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,3,2,4,7,8,5,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,3,4,2,7,8,5,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,4,7,8,2,5,6] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,1,7,2,4,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,7,1,2,4,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[3,1,2,7,4,5,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,3,2,7,4,5,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,3,7,2,4,5,6,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[3,1,2,4,7,5,6,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,3,4,7,2,5,6,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,1,2,4,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,3,4,5,7,2,6,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,1,2,4,5,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,3,4,5,7,8,2,6] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[3,1,8,2,4,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,8,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[3,1,2,8,4,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,3,2,8,4,5,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,3,8,2,4,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[3,1,2,4,8,5,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,3,2,4,8,5,6,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,3,4,2,8,5,6,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,4,8,2,5,6,7] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,1,2,4,5,8,6,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,3,2,4,5,8,6,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,3,4,2,5,8,6,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,3,4,5,2,8,6,7] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,4,5,8,2,6,7] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,1,2,4,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,3,4,5,6,8,2,7] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,1,5,2,6,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,5,1,2,6,3,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[4,1,5,6,2,3,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,1,5,2,6,8,3,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,5,1,2,6,8,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,5,6,2,8,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,1,5,6,8,2,3,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,5,6,8,1,2,3,7] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,1,5,2,6,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,1,5,6,2,3,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,5,1,6,2,3,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,5,1,2,6,7,3,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,5,2,6,7,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,5,1,2,6,7,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[4,1,5,6,7,2,8,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[4,5,6,7,1,2,8,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,1,5,6,7,8,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[4,1,5,2,7,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,5,1,2,7,3,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[4,1,5,2,7,8,3,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[4,5,1,2,7,8,3,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,5,7,2,8,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,5,7,8,1,2,3,6] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,1,5,2,7,3,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,5,1,2,7,3,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,5,2,3,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,5,1,2,3,7,6,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,5,3,7,6,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,4,2,5,3,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,5,2,3,7,6,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,1,2,5,7,3,6,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,4,5,2,7,3,6,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,5,7,2,3,6,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,1,5,2,3,7,8,6] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[4,1,2,5,3,7,8,6] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,4,5,2,3,7,8,6] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,1,2,5,7,3,8,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,4,2,5,7,3,8,6] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,4,5,2,7,3,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,5,7,2,3,8,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,1,2,5,7,8,3,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,4,2,5,7,8,3,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,4,5,2,7,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,5,7,8,2,3,6] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,5,2,8,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,5,1,2,8,3,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,5,1,8,2,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,5,2,3,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,5,1,2,3,8,6,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,5,3,8,6,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,4,2,5,3,8,6,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,5,2,3,8,6,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,1,2,5,8,3,6,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,4,2,5,8,3,6,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,4,5,2,8,3,6,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,2,5,3,6,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,1,2,5,6,3,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,4,5,2,6,3,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[4,1,2,5,6,8,3,7] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,4,2,5,6,8,3,7] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,4,5,2,6,8,3,7] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,5,6,8,2,3,7] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,5,2,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[4,1,2,5,3,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,4,2,5,3,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,4,5,2,3,6,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[4,1,2,5,6,3,7,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,4,5,2,6,3,7,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,5,6,2,3,7,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,1,2,5,6,7,3,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,4,2,5,6,7,3,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,4,5,2,6,7,3,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,5,6,2,7,3,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,5,6,7,2,3,8] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,2,5,6,7,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,4,2,5,6,7,8,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,4,5,2,6,7,8,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,4,5,6,2,7,8,3] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,4,5,6,7,2,8,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,4,5,6,7,8,2,3] => [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,1,6,2,7,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,6,7,2,3,8,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,6,1,2,7,8,3,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,6,7,8,2,3,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,6,7,8,1,2,3,5] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,1,6,2,7,3,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,1,6,7,2,3,5,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,6,1,7,2,3,5,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,6,2,3,7,5,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,6,1,2,3,7,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,6,3,7,5,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,4,2,6,3,7,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[4,1,2,6,7,3,5,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,4,2,6,7,3,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,4,6,2,7,3,5,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,6,7,2,3,5,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,1,6,2,3,7,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[4,1,2,6,3,7,8,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,4,6,2,3,7,8,5] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,1,2,6,7,3,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,4,6,2,7,3,8,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,2,6,7,8,3,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,4,6,2,7,8,3,5] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,6,7,2,8,3,5] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,6,7,8,2,3,5] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,6,2,8,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,6,1,2,8,3,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,6,8,2,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,6,1,8,2,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,6,2,3,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,6,1,2,3,8,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,6,3,8,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,4,2,6,3,8,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,6,2,3,8,5,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,4,2,6,8,3,5,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,4,6,2,8,3,5,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,6,8,2,3,5,7] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,1,6,2,3,5,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[4,6,1,2,3,5,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[4,1,2,6,3,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,4,2,6,3,5,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,4,6,2,3,5,8,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,1,2,3,6,5,8,7] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,4,2,3,6,5,8,7] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,4,6,3,5,8,7] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,1,2,3,6,8,5,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,2,4,6,3,8,5,7] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,4,6,8,3,5,7] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,6,2,3,5,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[4,6,1,2,3,5,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,4,2,6,3,5,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,4,6,2,3,5,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[4,1,2,3,6,5,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,4,2,3,6,5,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,4,6,3,5,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,1,2,3,6,7,5,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,4,2,3,6,7,5,8] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,6,3,7,5,8] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,1,2,3,6,7,8,5] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,4,2,3,6,7,8,5] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[4,1,7,2,8,3,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,7,1,2,8,3,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,7,8,2,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,7,1,8,2,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,7,2,3,8,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,7,1,2,3,8,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,4,2,7,3,8,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,7,2,3,8,5,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,1,2,7,8,3,5,6] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,4,2,7,8,3,5,6] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,4,7,2,8,3,5,6] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,7,8,2,3,5,6] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,1,7,2,3,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[4,7,1,2,3,5,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[4,1,2,7,3,5,8,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,4,2,7,3,5,8,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,4,7,2,3,5,8,6] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,1,2,3,7,5,8,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,4,2,3,7,5,8,6] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,4,3,7,5,8,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,4,7,3,5,8,6] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,1,2,3,7,8,5,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,4,2,3,7,8,5,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,3,7,8,5,6] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,7,3,8,5,6] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,4,7,8,3,5,6] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,7,2,3,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[4,7,1,2,3,5,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[4,1,2,7,3,5,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,4,2,7,3,5,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,4,7,2,3,5,6,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[4,1,2,3,7,5,6,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,4,2,3,7,5,6,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,4,3,7,5,6,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,4,7,3,5,6,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,1,2,3,5,7,6,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,4,2,3,5,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,4,5,7,3,6,8] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,2,3,5,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,4,2,3,5,7,8,6] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,2,4,5,7,3,8,6] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,2,4,5,7,8,3,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,1,8,2,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[4,8,1,2,3,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[4,1,2,8,3,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,4,2,8,3,5,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,4,8,2,3,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[4,1,2,3,8,5,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,4,2,3,8,5,6,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,4,3,8,5,6,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,4,8,3,5,6,7] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,1,2,3,5,8,6,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,4,2,3,5,8,6,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,4,3,5,8,6,7] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,4,5,3,8,6,7] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,4,5,8,3,6,7] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,2,3,5,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,4,2,3,5,6,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,2,4,5,6,8,3,7] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,4,2,3,5,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[5,1,6,2,7,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,6,1,2,7,3,8,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,1,6,7,2,3,8,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[5,6,1,2,7,8,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[5,1,6,7,2,8,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[5,1,6,7,8,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[5,1,6,2,7,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,6,1,7,2,3,4,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,6,2,3,7,4,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,1,2,6,3,7,4,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,5,2,6,3,7,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[5,1,2,6,7,3,4,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,5,2,6,7,3,4,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,5,6,7,2,3,4,8] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,1,6,2,3,7,8,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[5,6,1,2,3,7,8,4] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[5,1,2,6,3,7,8,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,5,2,6,3,7,8,4] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,5,6,2,3,7,8,4] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,1,2,6,7,3,8,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,5,6,7,2,3,8,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,2,6,7,8,3,4] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,5,2,6,7,8,3,4] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,5,6,2,7,8,3,4] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,6,7,2,8,3,4] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,6,7,8,2,3,4] => [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[5,1,6,2,8,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,6,1,2,8,3,4,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[5,6,1,8,2,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,6,2,3,8,4,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,6,1,2,3,8,4,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[5,1,2,6,3,8,4,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,5,2,6,3,8,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,6,2,3,8,4,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,1,2,6,8,3,4,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,5,2,6,8,3,4,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,5,6,2,8,3,4,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,6,8,2,3,4,7] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,1,6,2,3,4,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[5,6,1,2,3,4,8,7] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[5,1,2,6,3,4,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,5,2,6,3,4,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,5,6,2,3,4,8,7] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,5,2,3,6,4,8,7] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,5,3,6,4,8,7] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,5,6,3,4,8,7] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,2,3,6,8,4,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,5,2,3,6,8,4,7] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,5,6,3,8,4,7] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,6,8,3,4,7] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[5,1,6,2,3,4,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[5,1,2,6,3,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,5,2,6,3,4,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,5,6,2,3,4,7,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[5,1,2,3,6,4,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,5,2,3,6,4,7,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,3,6,4,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,6,3,4,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,1,2,3,6,7,4,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,5,2,3,6,7,4,8] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,5,6,3,7,4,8] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,1,2,3,6,7,8,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,5,2,3,6,7,8,4] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,2,5,3,6,7,8,4] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,2,5,6,3,7,8,4] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,2,5,6,7,3,8,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,2,5,6,7,8,3,4] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,1,7,2,8,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,7,1,2,8,3,4,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[5,1,7,8,2,3,4,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,7,1,8,2,3,4,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,7,2,3,8,4,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,7,1,2,3,8,4,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[5,1,2,7,3,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,5,2,7,3,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,7,2,3,8,4,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,1,2,7,8,3,4,6] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,5,2,7,8,3,4,6] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,5,7,2,8,3,4,6] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,7,8,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,1,7,2,3,4,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[5,7,1,2,3,4,8,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[5,1,2,7,3,4,8,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,5,2,7,3,4,8,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,5,7,2,3,4,8,6] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,1,2,3,7,4,8,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,5,2,3,7,4,8,6] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,5,3,7,4,8,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,5,7,3,4,8,6] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,2,3,7,8,4,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,5,2,3,7,8,4,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,5,3,7,8,4,6] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,5,7,3,8,4,6] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,7,8,3,4,6] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[5,7,1,2,3,4,6,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[5,1,2,7,3,4,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,5,2,7,3,4,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,5,2,3,7,4,6,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,3,7,4,6,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,7,3,4,6,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,5,2,3,4,7,6,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,5,3,4,7,6,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,5,7,4,6,8] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[5,1,2,3,4,7,8,6] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,5,2,3,4,7,8,6] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,2,5,3,4,7,8,6] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,3,5,7,4,8,6] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,5,7,8,4,6] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[5,1,8,2,3,4,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[5,8,1,2,3,4,6,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[5,1,2,8,3,4,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,5,2,8,3,4,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,5,8,2,3,4,6,7] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[5,1,2,3,8,4,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,5,2,3,8,4,6,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,3,8,4,6,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,8,3,4,6,7] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,1,2,3,4,8,6,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,5,2,3,4,8,6,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,5,3,4,8,6,7] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,5,4,8,6,7] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,5,8,4,6,7] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[5,1,2,3,4,6,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,5,2,3,4,6,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,2,5,3,4,6,8,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,3,5,6,8,4,7] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,5,2,3,4,6,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,2,5,3,4,6,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,1,7,2,8,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,7,1,2,8,3,4,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[6,1,7,8,2,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[6,7,1,8,2,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,7,2,3,8,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,7,1,2,3,8,4,5] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[6,1,2,7,3,8,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,6,2,7,3,8,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,7,2,3,8,4,5] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,1,2,7,8,3,4,5] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,6,2,7,8,3,4,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,6,7,2,8,3,4,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,7,8,2,3,4,5] => [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,1,7,2,3,4,8,5] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[6,7,1,2,3,4,8,5] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[6,1,2,7,3,4,8,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,6,2,7,3,4,8,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,6,7,2,3,4,8,5] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,1,2,3,7,4,8,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,6,2,3,7,4,8,5] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,6,3,7,4,8,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,6,7,3,4,8,5] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,1,2,3,7,8,4,5] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,6,2,3,7,8,4,5] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,6,3,7,8,4,5] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,6,7,3,8,4,5] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,6,7,8,3,4,5] => [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,1,7,2,3,4,5,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[6,1,2,7,3,4,5,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,6,2,7,3,4,5,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,6,7,2,3,4,5,8] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,1,2,3,7,4,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,6,2,3,7,4,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,6,3,7,4,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,6,7,3,4,5,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,1,2,3,4,7,5,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,6,2,3,4,7,5,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,6,3,4,7,5,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,6,4,7,5,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,6,7,4,5,8] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[6,1,2,3,4,7,8,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,6,2,3,4,7,8,5] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,2,6,3,4,7,8,5] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,3,6,4,7,8,5] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,2,3,6,7,4,8,5] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,6,7,8,4,5] => [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 2
[6,1,8,2,3,4,5,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[6,8,1,2,3,4,5,7] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 3
[6,1,2,8,3,4,5,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,6,2,8,3,4,5,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,6,8,2,3,4,5,7] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,1,2,3,8,4,5,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,6,2,3,8,4,5,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,6,3,8,4,5,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,6,8,3,4,5,7] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,1,2,3,4,8,5,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,6,2,3,4,8,5,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,6,3,4,8,5,7] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,6,4,8,5,7] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,6,8,4,5,7] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[6,1,2,3,4,5,8,7] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,6,2,3,4,5,8,7] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,2,6,3,4,5,8,7] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,3,6,4,5,8,7] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,3,4,6,8,5,7] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,6,2,3,4,5,7,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,2,6,3,4,5,7,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,2,3,6,4,5,7,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,1,8,2,3,4,5,6] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[7,1,2,8,3,4,5,6] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,7,2,8,3,4,5,6] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,7,8,2,3,4,5,6] => [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,1,2,3,8,4,5,6] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,7,2,3,8,4,5,6] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,7,3,8,4,5,6] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,7,8,3,4,5,6] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,1,2,3,4,8,5,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,7,2,3,4,8,5,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,2,7,3,4,8,5,6] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,3,7,4,8,5,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,7,8,4,5,6] => [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,1,2,3,4,5,8,6] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,7,2,3,4,5,8,6] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,3,4,5,8,6] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,3,7,4,5,8,6] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,3,4,7,5,8,6] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,3,4,7,8,5,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,7,2,3,4,5,6,8] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,2,7,3,4,5,6,8] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,2,3,7,4,5,6,8] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,2,3,4,7,5,6,8] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,8,2,3,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 2
[1,2,8,3,4,5,6,7] => [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,2,3,8,4,5,6,7] => [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,2,3,4,8,5,6,7] => [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,3,4,5,8,6,7] => [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,1,7,5,4,8,3,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,8,1,6,7,4,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[2,1,8,6,7,4,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,7,6,8,4,3,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[3,4,1,2,8,7,6,5] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[2,1,5,8,3,7,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,6,8,7,3,5,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,1,7,8,6,5,3,4] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[6,8,7,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[2,1,10,9,8,7,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3
[10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => 11
[4,8,3,7,2,6,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,3,7,2,6,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,4,7,2,6,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,4,7,3,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,3,7,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,4,7,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,4,7,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,5,7,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,3,6,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,4,6,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,4,6,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,5,6,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[8,1,2,3,4,7,5,6] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[8,1,2,3,6,4,5,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[8,1,2,3,7,4,5,6] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[7,1,2,3,6,4,8,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,1,2,3,8,7,4,6] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[8,1,2,3,6,7,4,5] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,2,8,3,7,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[8,1,2,5,3,4,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[7,1,2,5,3,4,8,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[8,1,2,6,3,4,5,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[7,1,2,6,3,4,8,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[6,1,2,5,3,8,4,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[8,1,2,5,3,7,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[8,1,2,6,3,7,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,2,5,3,7,8,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[4,1,2,8,6,3,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,1,2,8,7,3,5,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,1,2,7,6,3,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[8,1,2,5,6,3,4,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[8,1,2,5,7,3,4,6] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[8,1,2,7,6,3,4,5] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,2,5,6,3,8,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[4,1,2,5,8,7,3,6] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[4,1,2,8,6,7,3,5] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[8,1,2,5,6,7,3,4] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[3,1,8,2,4,7,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,1,8,2,6,4,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,1,8,2,7,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,1,7,2,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,5,2,8,7,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,1,8,2,6,7,4,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[8,1,4,2,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[7,1,4,2,3,5,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[6,1,4,2,3,8,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[8,1,4,2,3,7,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,1,4,2,3,7,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[8,1,5,2,3,4,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[7,1,5,2,3,4,8,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[8,1,7,2,3,4,5,6] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[6,1,5,2,3,8,4,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[8,1,5,2,3,7,4,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,1,8,2,3,7,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,1,5,2,3,7,8,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[5,1,4,2,8,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,1,4,2,7,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,4,2,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[8,1,4,2,7,3,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[7,1,4,2,6,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,5,2,6,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[8,1,5,2,7,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[7,1,8,2,6,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[7,1,5,2,6,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,4,2,6,8,3,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,4,2,8,7,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,1,4,2,6,7,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[8,1,5,2,6,7,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,4,2,6,7,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,1,4,8,2,7,5,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,1,8,5,2,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,1,7,5,2,4,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,1,8,6,2,4,5,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,1,7,6,2,4,8,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,1,6,5,2,8,4,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,8,5,2,7,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,8,6,2,7,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,6,5,2,7,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,4,5,2,3,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[7,1,4,5,2,3,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[8,1,4,6,2,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[7,1,4,8,2,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[7,1,4,6,2,3,8,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[8,1,6,5,2,3,4,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,8,5,2,3,4,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,8,6,2,3,4,5] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,6,5,2,3,8,4] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[6,1,4,5,2,8,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,4,5,2,7,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,4,6,2,7,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,6,5,2,7,3,4] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[6,1,4,5,2,7,8,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,1,4,8,6,2,5,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,1,4,8,7,2,5,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,1,4,7,6,2,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,8,5,6,2,4,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,1,8,5,7,2,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,1,8,7,6,2,4,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[3,1,7,5,6,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,4,5,6,2,3,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[8,1,4,5,7,2,3,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[8,1,4,7,6,2,3,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[8,1,7,5,6,2,3,4] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,4,5,6,2,8,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,1,4,5,8,7,2,6] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[3,1,4,8,6,7,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[3,1,8,5,6,7,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,1,4,5,6,7,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,8,1,3,4,7,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[2,8,1,3,6,4,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,8,1,3,7,4,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,7,1,3,6,4,8,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,5,1,3,8,7,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,8,1,3,6,7,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,8,1,5,3,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,8,1,6,3,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[7,3,1,2,4,5,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[6,3,1,2,4,7,8,5] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[7,4,1,2,3,5,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[6,4,1,2,3,7,8,5] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[7,6,1,2,3,4,8,5] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[5,8,1,2,3,7,4,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[5,8,1,2,6,3,4,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[5,8,1,2,7,3,4,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[5,7,1,2,6,3,8,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,8,1,2,6,7,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[6,8,1,5,2,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,8,4,1,3,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[2,8,5,1,3,4,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[2,8,7,1,3,4,5,6] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[7,5,4,1,6,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[2,3,8,5,1,4,6,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,3,8,6,1,4,5,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[8,3,4,5,7,1,2,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[9,1,2,3,4,5,6,7,8] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[3,1,4,5,6,7,8,9,2] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[9,3,1,2,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[9,4,1,2,3,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[9,6,1,2,3,4,5,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[9,7,1,2,3,4,5,6,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[2,3,4,5,6,9,1,7,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,4,5,6,8,1,9,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,5,6,7,9,1,8] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[9,3,4,5,6,7,8,1,2] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[2,3,4,5,6,7,8,9,1] => [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[2,1,5,7,4,8,3,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,1,5,7,4,8,6,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[5,6,7,8,3,1,4,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,6,1,7,8,4,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[2,1,6,7,8,4,5,3] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[2,1,6,7,8,4,3,5] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[3,6,2,7,8,4,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[3,4,1,2,7,8,6,5] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[3,6,2,7,8,5,1,4] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[2,1,5,7,3,8,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,6,7,8,3,5,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[5,6,7,8,1,2,4,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[5,6,7,8,2,1,4,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[2,1,6,7,8,5,3,4] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[5,6,7,8,4,1,3,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[1,6,7,4,5,2,3,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,4,7,6,2,3,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[4,5,3,7,8,6,1,2] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,1,8,4,5,2,3,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[5,1,4,8,6,2,3,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[4,1,3,2,8,6,5,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,3,8,2,6,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[6,1,8,3,2,5,4,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[7,8,2,3,1,5,6,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,5,3,7,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,7,3,2,5,4,8] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[2,6,7,3,1,5,8,4] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,1,6,5,3,4,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,1,7,5,3,8,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,1,8,5,3,7,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,1,8,6,7,3,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,7,6,8,3,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,4,3,8,7,5,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,4,1,2,8,7,5,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,1,5,8,3,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,6,8,7,3,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[5,6,8,7,1,2,3,4] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,1,7,8,6,3,4,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,1,8,7,6,3,4,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[4,3,2,1,7,5,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[4,3,2,1,8,5,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,8,4,1,6,2,5,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,8,4,7,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,6,8,4,7,2,5,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[7,8,1,2,3,6,5,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[6,1,8,2,3,7,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,6,8,2,3,7,5,4] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,5,8,3,7,6,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,4,1,3,8,7,6,5] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[4,1,2,3,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[5,1,3,8,2,7,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,5,3,8,2,7,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,5,4,8,7,2,6,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,4,5,8,7,2,6,3] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,1,2,4,8,7,6,5] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[4,1,3,2,6,5,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,3,2,6,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,3,2,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,3,2,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,3,2,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,4,2,5,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,4,2,5,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,4,2,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,4,2,6,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,6,3,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,6,2,5,4,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,6,2,5,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,7,2,5,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,7,2,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,7,3,5,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,8,3,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,8,2,5,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,8,2,5,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,4,3,8,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,4,3,7,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,5,3,7,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,1,5,3,8,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,8,2,6,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,8,2,6,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,8,2,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,8,3,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,7,3,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,7,2,6,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,7,2,6,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,5,2,6,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,5,2,7,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,4,2,7,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,4,2,6,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,3,2,6,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,3,2,6,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,3,2,7,4,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,3,2,7,4,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,3,2,7,5,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,4,3,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,4,2,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,3,2,8,5,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,3,2,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,3,2,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,4,2,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,4,2,8,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,5,2,8,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,5,2,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,5,3,8,4,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,6,3,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,6,2,8,4,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,6,2,8,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,6,2,8,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,5,2,8,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,8,3,7,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,8,3,7,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,8,4,7,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,8,4,7,3,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,7,4,8,3,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,7,4,8,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,7,3,8,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,7,3,8,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,3,8,2,4,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,1,5,6,3,8,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,5,1,7,8,3,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[5,1,6,7,3,8,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[6,1,7,4,8,3,2,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[5,1,6,7,3,2,8,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,6,7,3,2,1,8,4] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,6,2,1,7,3,8,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,7,4,2,8,3,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,4,7,8,2,1,5,6] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[5,7,3,8,2,6,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,1,5,7,8,2,6,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[5,1,6,2,7,8,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[5,6,2,1,7,8,4,3] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[5,1,6,7,2,8,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[5,1,6,7,8,4,3,2] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[8,2,4,5,6,1,3,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[8,1,2,4,5,6,3,7] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[8,1,4,5,6,3,2,7] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,4,3,6,7,2,8,5] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[4,1,5,3,7,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,6,4,7,8,3,5,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[3,1,5,6,7,8,4,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[4,6,1,7,8,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,3,6,7,8,1,2,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,5,3,6,7,8,2,4] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[3,5,6,7,8,2,1,4] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[3,5,6,7,8,2,4,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[1,7,3,4,2,5,8,6] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,2,6,7,8,4,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,5,2,6,7,8,4,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[1,6,4,7,8,5,2,3] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[1,5,6,3,4,8,7,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[1,7,5,4,8,3,6,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[4,1,2,6,5,8,7,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[5,1,6,2,4,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[6,1,5,4,2,8,7,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[7,1,5,4,8,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,5,4,7,6,2,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,8,6,7,4,5,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[8,1,6,7,4,5,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[7,1,6,8,4,2,5,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[6,1,7,8,2,4,5,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[5,1,7,2,8,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,2,7,8,5,6,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,7,6,8,4,3,5,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[1,6,7,8,3,4,5,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[5,7,8,2,1,3,4,6] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[1,5,7,3,8,4,6,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[1,4,3,7,8,5,6,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[7,4,3,1,8,2,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,5,8,3,7,6,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,6,1,2,3,8,7,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[4,7,2,1,8,3,6,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,7,1,2,8,3,6,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,6,8,7,3,5,4,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[1,7,8,6,5,3,4,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[8,7,1,6,5,3,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[5,8,1,2,7,6,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,1,2,8,7,6,5,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[5,1,8,2,7,6,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[6,1,8,7,2,5,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[7,1,8,6,5,2,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[8,1,7,6,5,4,2,3] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[3,1,2,6,5,8,7,4] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[3,1,6,2,4,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[3,1,5,2,4,8,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[4,5,1,2,3,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[4,6,1,2,3,8,7,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,6,5,3,4,8,7,2] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[6,1,5,2,4,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[7,1,5,2,8,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,5,3,8,4,6,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,8,5,3,7,4,6,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[8,1,5,2,7,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[8,1,6,7,2,4,5,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,8,6,7,3,4,5,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,7,6,8,3,4,5,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[7,1,6,8,2,4,5,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,7,1,2,8,3,6,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,1,7,2,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,2,7,8,5,6,4] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,4,3,8,7,5,6,2] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[4,1,2,8,7,5,6,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[3,1,2,8,7,5,6,4] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[3,1,8,2,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[3,1,8,7,2,4,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,1,7,6,2,4,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,7,1,6,2,3,5,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,8,1,6,2,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,8,1,7,2,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,8,1,2,7,3,6,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,8,1,2,7,3,6,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,1,8,2,7,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,5,8,3,7,4,6,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[1,6,8,7,3,4,5,2] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[6,1,8,7,2,4,5,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[6,8,7,1,2,3,4,5] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[5,8,7,1,2,3,4,6] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[5,8,6,1,2,3,4,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[5,7,6,1,2,3,4,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[7,1,8,6,2,4,5,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,7,8,6,3,4,5,2] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[1,8,7,6,3,4,5,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[8,1,7,6,2,4,5,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,1,5,4,6,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,5,3,6,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,5,4,7,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,5,4,7,3,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,5,4,7,6,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[4,1,5,3,7,6,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,1,6,3,7,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[4,1,6,3,7,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,1,6,4,7,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,6,4,7,5,8,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,6,4,7,3,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,6,4,7,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,6,3,7,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,6,3,7,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,4,2,7,6,8,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,5,2,7,6,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,5,2,7,6,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,5,3,7,6,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,6,3,7,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,6,2,7,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,6,2,7,5,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,1,6,2,7,4,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,1,6,4,7,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,6,5,7,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,6,5,7,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,6,5,7,3,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,6,5,7,4,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[4,1,6,5,7,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[5,1,6,4,7,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[8,1,5,6,4,3,2,7] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[5,7,4,3,2,1,8,6] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[8,5,7,4,3,2,6,1] => [[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => 7
[1,4,6,7,3,2,8,5] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[1,7,4,5,3,2,8,6] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[8,5,7,4,2,1,6,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,7,4,8,6,3,5,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[8,4,7,6,3,5,2,1] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 6
[3,1,5,8,6,7,4,2] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[4,8,1,6,7,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,7,3,5,6,8,2,4] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,3,6,7,5,8,2,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[2,1,6,5,7,8,3,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,5,7,3,2,1,6,4] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[8,1,2,5,6,7,4,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[2,1,7,8,5,6,4,3] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,7,2,5,8,6,4,3] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,7,4,8,2,6,5,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[8,1,6,7,5,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[6,1,2,4,5,3,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[3,1,6,4,5,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,7,4,2,6,3,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,1,8,7,5,3,4,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[2,1,6,8,5,7,3,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,1,8,4,7,6,2,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[4,1,8,3,5,6,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,1,5,8,4,6,7,3] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,1,4,8,3,6,7,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[6,4,3,8,2,1,7,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[3,1,8,2,5,6,7,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,8,2,3,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[2,8,1,3,5,6,7,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[8,1,2,3,5,6,7,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[2,1,8,3,4,6,7,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[2,1,7,8,5,4,3,6] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[7,1,8,4,5,3,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,7,8,4,5,3,1,6] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[8,6,3,1,4,2,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[4,1,3,2,6,8,7,5] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[7,1,6,4,5,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,1,7,6,5,8,3,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,8,5,3,6,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,4,2,5,6,7,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,8,1,2,5,6,7,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[4,1,2,8,5,6,7,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[2,1,5,3,8,6,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,4,8,5,6,7,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[5,1,7,4,8,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[5,6,3,1,8,2,7,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,6,4,3,8,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[6,4,3,1,7,2,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,4,7,5,8,3,2,6] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[7,1,3,5,8,4,2,6] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,4,5,8,7,3,6,2] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2
[1,5,4,8,7,3,6,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,5,3,1,8,6,4,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,8,6,5,3,7,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,5,8,6,3,7,4,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[1,7,6,4,8,3,2,5] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,1,7,5,3,2,8,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[7,6,5,3,2,1,8,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[6,5,2,1,7,3,8,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[5,1,6,8,2,7,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[7,6,2,1,8,5,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,1,7,2,8,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[7,1,8,6,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,6,5,2,3,8,4,7] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,5,2,8,3,4,6] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[7,1,5,2,8,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,8,5,2,7,3,4,6] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,8,6,7,2,3,4,5] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[8,1,6,7,2,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[7,1,6,8,2,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,7,6,8,2,3,4,5] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,4,2,8,7,3,5,6] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,5,8,2,7,3,4,6] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,8,7,2,3,4,5] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,8,6,2,3,4,5] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[7,8,1,6,2,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,8,1,7,2,3,4,5] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,8,2,7,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,1,8,7,2,3,4,5] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[8,1,7,6,2,3,4,5] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,8,7,6,2,3,4,5] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[3,1,4,6,5,2,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[8,1,4,7,2,6,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,8,5,7,3,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[5,1,4,6,8,2,7,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[4,1,6,3,8,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,4,8,3,7,6,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[7,4,3,8,2,1,6,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[3,1,8,2,7,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[2,8,1,3,6,5,7,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[4,1,3,2,6,7,8,5] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[8,1,6,4,5,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,1,8,6,5,7,3,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,7,5,3,6,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[7,1,4,2,5,6,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,6,1,2,8,7,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,1,2,5,8,6,7,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[2,1,5,3,6,8,7,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[3,1,4,5,6,8,7,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[6,5,2,1,4,3,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,1,6,5,4,2,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,6,1,3,5,4,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,1,7,3,8,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,6,7,4,8,5,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,1,8,7,4,3,6,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[8,1,6,3,2,5,4,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,8,1,2,7,6,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,1,5,3,8,7,6,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,4,8,6,5,7,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[7,1,6,5,4,8,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,5,6,8,4,2,1] => [[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => 4
[4,1,2,3,6,8,7,5] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[5,7,8,6,3,4,1,2] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[7,1,8,5,4,3,6,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[5,7,3,8,1,4,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[2,1,7,8,5,4,6,3] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[2,1,5,8,4,6,3,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,1,8,3,6,5,2,7] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[3,1,8,2,4,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,1,4,8,3,5,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,8,1,3,4,5,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[3,5,7,2,4,6,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[4,1,2,3,7,6,8,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[5,1,6,7,4,3,8,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[5,1,2,6,4,8,7,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[5,1,2,8,6,4,7,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[5,1,6,8,7,3,4,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[4,1,2,3,8,7,5,6] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,1,2,3,8,6,5,7] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,1,2,3,8,6,7,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[4,1,2,3,7,6,5,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,1,2,3,8,5,7,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[7,1,6,8,4,3,5,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[6,1,2,8,4,5,7,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[5,1,6,7,4,3,2,8] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[5,1,6,8,7,3,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[7,1,6,8,4,3,2,5] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[4,1,8,3,6,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[4,1,8,3,6,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,4,8,6,2,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,4,8,6,5,2,7] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,6,5,8,3,2,4] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[4,1,6,7,8,3,2,5] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[4,1,6,5,7,3,2,8] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[6,1,2,5,8,4,7,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[7,1,6,5,8,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[4,1,2,3,5,8,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[4,1,2,3,7,8,6,5] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[4,1,6,7,8,3,5,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[4,1,2,6,8,5,7,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,1,2,5,6,8,7,3] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3
[2,1,8,7,5,4,3,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,3,8,2,6,4,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,1,2,5,8,7,4,3] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3
[6,4,2,1,5,3,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,3,7,6,4,2,8,5] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,8,5,7,3,6,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,5,6,8,2,4,7,3] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,8,6,2,7,3,4] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,5,8,3,2,7,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[4,7,5,6,3,1,8,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[5,1,6,3,4,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,4,2,7,6,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,6,2,4,7,8,3,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[2,1,8,7,6,5,3,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,6,8,7,5,2,4,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,8,6,2,3,5,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,4,8,7,1,3,5,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,5,8,7,1,2,4,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,5,8,7,1,3,4,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[5,6,3,1,4,2,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,5,3,8,2,1,6,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[2,1,7,8,5,3,6,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[7,1,8,4,2,6,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,3,4,5,6,7,8,1,9] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,5,6,8,9,1,7] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,5,7,8,9,1,6] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,6,7,8,9,1,5] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,5,6,7,8,9,1,4] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,4,5,6,7,8,9,1,3] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,4,5,6,7,8,9,1,2] => [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 3
[2,3,4,5,6,7,8,9,10,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[2,3,4,5,6,7,1,8,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[7,2,6,3,4,5,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[6,2,7,3,4,5,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,6,3,2,8,4,5,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[6,8,3,5,2,7,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[1,8,6,3,7,2,4,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,8,2,7,3,4,5,6] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[2,8,1,7,3,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[8,1,2,7,3,4,5,6] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,8,3,7,2,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,7,3,8,2,5,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[2,3,8,7,1,4,5,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,1,8,7,3,4,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,2,8,7,3,4,5,6] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,3,8,7,2,4,5,6] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,8,3,6,2,4,5] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[4,1,5,8,7,2,3,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[8,1,6,7,3,2,5,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[8,1,6,7,3,2,4,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[8,1,5,3,7,2,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,5,3,6,2,4,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,4,3,2,6,5,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,4,3,2,7,5,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,4,3,2,7,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[8,1,5,4,6,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,1,5,3,6,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,4,3,2,6,7,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,4,3,2,5,7,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[8,1,4,3,2,5,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[6,5,3,8,7,2,1,4] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[6,5,3,1,7,2,8,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[6,5,3,1,8,2,7,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,4,8,3,2,1,6,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[6,4,3,7,2,1,8,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[2,1,7,8,4,3,5,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[7,8,1,2,5,4,6,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[6,5,2,1,8,7,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,8,2,4,3,5,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,7,2,4,3,5,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,6,2,4,3,5,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,5,2,4,3,6,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,6,2,5,3,4,7,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,7,2,5,3,4,6,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,8,2,5,3,4,6,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,8,2,6,3,4,5,7] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,7,2,6,3,4,5,8] => [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,8,2,7,3,5,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,8,3,5,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,8,3,5,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,8,3,6,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,2,8,3,6,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,2,8,4,6,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,8,4,6,5,7] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,7,4,6,5,8] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,2,7,4,6,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,2,7,3,6,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,7,3,6,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,7,3,5,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,6,3,5,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,8,2,6,3,5,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,8,2,5,3,6,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,5,3,6,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,5,3,7,4,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,4,3,7,6,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,4,3,7,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,4,3,6,5,8] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,8,2,4,3,6,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,8,2,3,4,6,5,7] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,7,2,3,4,6,5,8] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,8,2,3,4,7,5,6] => [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,8,2,4,3,7,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,4,3,8,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,4,3,8,5,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,4,3,8,6,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,5,3,8,4,7] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,5,3,8,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,8,2,5,3,7,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,8,2,6,3,7,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,6,3,8,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,8,4,7,5,6] => [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,2,8,4,7,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,4,2,8,3,7,5,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,8,3,7,4,6] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,6,2,8,3,7,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,8,3,6,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,8,2,7,3,6,4,5] => [.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[4,6,3,7,2,5,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,8,4,3,1,7,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,6,8,4,2,1,7,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,7,8,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[4,7,2,8,1,5,6,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,6,8,3,2,1,7,4] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[4,7,3,8,1,5,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,7,8,3,1,2,4,6] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[1,3,7,5,2,6,4,8] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,3,7,5,4,2,6,8] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[2,8,5,4,3,1,7,6] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[1,6,3,7,5,2,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[3,4,1,2,7,6,8,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[3,4,2,1,7,5,8,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,5,7,3,4,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,5,2,7,4,6,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[5,2,1,8,7,6,3,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[7,1,3,8,4,6,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,5,4,6,2,7,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[2,6,1,5,8,4,7,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,1,4,2,7,8,6,5] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[5,1,4,7,2,8,6,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,1,4,6,8,5,7,2] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,8,3,2,5,4,7,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,8,4,5,2,3,7,6] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[7,2,1,6,5,4,3,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,8,5,4,3,2,7,6] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,8,6,4,3,7,2,5] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,5,7,4,3,1,8,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,8,7,4,3,6,5,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,8,7,5,6,3,4,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[2,6,8,5,7,3,1,4] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,8,6,5,7,3,2,4] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[1,8,5,6,7,2,3,4] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[6,5,4,7,2,1,8,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[5,6,4,7,2,8,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[1,8,4,6,2,7,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,3,2,6,7,4,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,8,3,2,7,6,5,4] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,8,4,7,2,6,5,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,5,4,8,2,1,7,6] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[3,4,5,8,1,2,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,8,5,7,6,2,4,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,8,6,7,5,4,2,3] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[1,4,6,2,7,5,8,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,7,5,2,6,8,4,3] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[7,5,2,1,6,8,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[6,7,5,1,8,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,8,4,1,7,5,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[8,4,2,1,6,7,5,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[1,8,4,2,6,7,5,3] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[1,5,3,2,7,6,8,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[4,6,1,2,7,5,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,2,5,3,7,6,8,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[3,5,1,2,7,6,8,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[7,1,6,5,8,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,3,5,2,7,6,8,4] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,7,6,2,5,8,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[7,1,6,4,8,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,5,2,7,4,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,8,3,5,7,6,2,4] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[1,5,2,3,7,6,8,4] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[6,1,4,2,7,5,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,1,3,2,7,6,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,3,2,7,6,8,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,4,2,3,7,6,8,5] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[2,4,1,3,7,6,8,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[2,5,1,3,7,6,8,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[5,1,2,3,7,6,8,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[3,1,2,4,7,6,8,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[8,1,2,4,3,6,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[8,1,3,5,6,2,7,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[8,1,3,4,2,6,7,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[8,1,3,2,4,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,7,8,4,2,6,1,5] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[4,7,8,3,2,1,6,5] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[5,1,2,7,8,6,4,3] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[4,7,1,2,8,6,5,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,7,3,4,8,6,5,2] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[1,6,8,3,7,4,5,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[1,6,8,3,4,7,5,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[6,8,2,1,7,3,5,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,8,7,5,3,4,6,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[1,8,7,3,5,4,6,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,8,7,5,4,3,6,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,6,8,4,3,7,5,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,8,4,1,7,2,6,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[8,1,2,6,5,7,4,3] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[8,5,3,1,7,2,6,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,6,4,8,3,7,5,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,8,7,4,5,3,6,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[4,8,5,7,2,1,6,3] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[8,5,3,7,2,1,6,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[1,8,7,4,3,5,6,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[1,8,7,3,4,5,6,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[6,5,4,1,3,2,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,7,4,1,6,5,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,1,8,5,3,7,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[8,7,4,1,6,2,5,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,7,6,5,2,1,4,3] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[2,1,8,7,6,4,3,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,1,8,7,6,4,5,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[8,3,1,7,6,4,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[8,3,1,7,6,5,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[2,1,8,5,4,7,3,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[8,7,6,5,3,1,4,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[8,7,6,5,4,1,3,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[2,1,8,7,6,3,5,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,6,5,2,7,4,3,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[7,4,3,1,8,6,5,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[7,6,5,1,8,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[7,6,4,1,8,5,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,4,2,1,8,7,5,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,6,4,2,7,5,3,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,3,2,7,6,4,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[5,3,2,1,8,7,6,4] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,1,2,5,8,3,4,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,3,4,8,2,5,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[7,1,5,6,8,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,6,2,5,7,3,4,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,6,2,4,7,3,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,1,4,6,8,2,3,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[7,1,3,5,8,2,4,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[6,1,2,4,8,3,5,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[4,1,6,3,5,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,7,3,5,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,7,4,5,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,7,4,5,3,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,8,6,7,4,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[4,1,8,6,7,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[5,1,8,4,7,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[4,1,8,5,7,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[3,1,8,5,7,4,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,8,5,7,4,6,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,7,4,6,3,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,7,4,6,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,7,3,6,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,7,3,6,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,4,2,8,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,5,2,8,6,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,5,2,8,6,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,6,3,8,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,6,2,8,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,6,2,8,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,1,6,2,8,4,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,1,8,4,6,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,8,5,6,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,8,5,6,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,8,5,6,3,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,7,4,8,5,6,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,1,7,4,8,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[4,1,7,3,8,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[7,8,5,6,1,3,4,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,3,8,4,7,2,5,6] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[4,6,1,2,5,7,3,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,4,8,2,5,7,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,8,4,3,2,7,6] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,4,6,8,3,7,5,2] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[1,6,2,4,7,3,8,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[5,7,3,6,1,4,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,1,7,5,2,4,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[6,3,1,2,4,5,8,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,4,7,2,5,3,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,7,5,8,2,4,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[3,5,6,7,8,1,4,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,1,6,8,4,5,3,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,1,8,5,4,6,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,7,3,8,5,2,6,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,7,8,6,1,3,4,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[7,1,3,4,8,2,6,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[6,1,5,2,8,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[7,1,5,3,4,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[6,8,1,2,3,4,7,5] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[2,1,4,7,8,5,6,3] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,4,2,7,5,8,6,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[4,1,8,6,7,5,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,5,7,6,4,2,8,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,1,2,7,6,3,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,5,1,2,6,8,7,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[3,1,4,7,5,6,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[3,1,4,5,8,6,7,2] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[2,1,7,5,8,6,4,3] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,2,7,5,3,8,6,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,1,2,7,3,8,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[6,1,3,7,5,2,4,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,1,2,6,8,5,4,7] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[3,7,1,2,5,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,3,7,2,4,8,6,5] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,1,6,8,3,4,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,6,8,3,1,5,7,4] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[5,7,4,6,2,8,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,1,8,4,2,7,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,6,2,8,5,3,7,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,6,3,7,2,8,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[4,5,7,8,3,1,6,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[8,1,3,4,6,2,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,4,5,6,8,1,7,3] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[8,1,4,6,2,5,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,8,4,7,2,5,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,8,7,2,6,3,5] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,8,7,2,6,3,4] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,8,2,7,6,4,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,4,2,8,7,6,5,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,3,8,2,7,6,4,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,8,3,2,7,5,4,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[8,1,3,2,6,5,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,8,3,1,7,5,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,8,2,1,7,5,4,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,8,1,2,7,5,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[5,1,8,3,7,6,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[5,1,8,7,2,6,3,4] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,1,8,7,2,6,3,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,8,1,2,7,5,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,1,8,2,7,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,1,2,8,7,6,5,4] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[4,1,3,8,7,6,5,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,4,8,7,6,5,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[2,1,8,3,7,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,8,1,3,7,5,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[8,1,2,3,6,5,4,7] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,8,2,3,7,5,4,6] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,8,3,7,6,4,5] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,3,6,8,2,5,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[3,1,6,2,5,8,4,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,4,5,2,8,3,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,2,6,5,8,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,5,4,2,6,8,3,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[3,1,6,5,8,2,4,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,6,4,2,5,8,3,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,2,6,4,8,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,6,5,4,8,3,7] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,2,5,4,7,3,8,6] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,1,2,6,3,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[7,1,5,4,2,8,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,4,7,5,2,8,3,6] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[7,1,3,5,2,8,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,4,5,2,8,7,3,6] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,6,4,2,8,3,7,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,2,8,3,7,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,5,3,8,7,6,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,8,6,5,3,7,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,2,8,6,3,7,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,6,4,2,8,7,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,6,4,2,8,3,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,7,5,2,6,3,8,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,2,7,5,3,8,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,7,6,5,3,8,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,6,5,3,8,7,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,5,2,6,3,8,7,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,5,2,7,6,3,8,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,6,5,2,7,3,8,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,7,4,2,8,3,6] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[4,1,2,8,6,3,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[3,1,8,6,2,4,7,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[7,1,8,3,2,4,6,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,8,7,3,2,4,6,5] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,4,2,8,7,3,6,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,7,4,2,8,3,6,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[8,1,5,4,2,7,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,4,8,5,2,7,3,6] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,8,6,4,2,7,3,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,8,5,2,6,3,7,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,2,7,3,8,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,8,5,3,7,6,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,2,6,3,8,7,5,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,7,6,3,8,5,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,6,2,7,3,8,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,7,2,8,5,3,6,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,7,4,2,8,6,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[7,1,8,3,2,6,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,8,7,3,2,6,4,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,4,2,8,7,6,3,5] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,8,7,5,3,6,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,8,6,3,7,5,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,2,7,3,8,6,5,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,1,7,3,6,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,1,8,7,6,2,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[8,1,7,6,3,4,5,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[5,7,8,6,2,4,1,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[8,1,4,5,3,7,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[6,1,4,5,3,8,7,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[6,1,4,5,3,7,8,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,1,7,8,6,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[6,1,4,8,3,5,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[7,1,8,6,3,4,5,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[7,1,4,5,3,8,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[7,1,4,5,3,6,8,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[8,1,4,5,3,6,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,6,1,3,8,5,7,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[2,7,1,3,6,5,8,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,2,3,4,5,6,7,9,8] => [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,2,3,4,5,6,7,8,10,9] => [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,3,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,2,3,4,5,6,7,8,9,11,10] => [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 2
[8,6,5,4,3,1,7,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[1,7,6,5,4,2,3,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,8,6,5,2,7,3,4] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[6,8,5,4,2,1,7,3] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[4,1,3,7,6,2,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[5,1,7,3,6,2,4,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,1,7,5,3,2,4,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[7,1,6,5,2,4,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,6,5,2,3,7,4] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,2,7,6,3,4,5,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,2,8,3,7,4,5,6] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[8,1,7,2,6,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,8,2,6,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,8,2,4,7,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,8,3,2,7,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,1,3,8,2,7,5,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,7,6,1,5,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,8,7,2,6,5,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,8,2,5,6,3,4] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[6,5,8,3,2,1,7,4] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,6,8,4,2,7,3,5] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,4,8,2,7,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,4,2,3,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,1,2,4,5,3,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,7,2,3,6,4,5,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,8,1,2,3,5,6,4] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[6,8,1,2,4,3,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[4,1,3,2,5,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[5,1,2,4,3,6,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,2,3,5,4,7,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[7,1,2,3,4,6,5,8] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[8,1,2,3,4,5,7,6] => [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,4,8,6,2,3,7,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,5,6,8,2,3,7,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,5,6,2,8,4,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,4,2,6,8,5,7,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[8,1,3,2,5,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,7,3,1,5,8,4,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[6,7,2,1,8,5,4,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,7,1,2,8,4,5,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[5,2,7,3,4,6,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[5,1,7,3,4,8,6,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[5,1,7,8,2,3,6,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,1,8,7,2,3,6,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,8,1,2,7,4,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,3,7,5,8,6,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[3,1,4,5,7,8,6,2] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,8,3,4,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,8,2,3,4,5,7,6] => [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,2,8,3,4,6,7,5] => [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,1,6,4,2,8,7,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,7,3,1,8,2,6,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,7,4,8,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,5,7,4,8,3,6,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[1,5,7,4,8,6,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[5,1,7,4,8,6,2,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,7,8,4,5,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,6,7,8,4,5,3,2] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[1,6,7,8,4,3,5,2] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[6,1,7,8,4,2,5,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,7,2,1,8,3,6,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,2,7,8,6,5,3] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[5,7,1,2,8,6,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,1,7,2,8,6,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,7,3,8,6,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[1,6,7,8,3,5,4,2] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[6,1,7,8,2,5,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[6,1,7,8,5,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,6,7,8,5,3,4,2] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[6,1,7,8,5,4,2,3] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[5,1,4,8,6,3,7,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[4,6,1,2,7,8,5,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[7,8,3,5,1,4,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,6,5,3,4,8,2,7] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[6,8,3,1,7,2,5,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,8,6,3,7,5,2,4] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,1,7,6,8,3,2,4] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,7,3,8,4,5,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,7,2,8,5,3,4,6] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,6,1,8,4,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[8,1,2,7,3,4,6,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[7,1,2,8,3,5,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,5,1,8,7,4,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[8,6,4,7,5,3,2,1] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 7
[5,1,8,3,7,6,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,1,8,7,5,6,3,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[8,1,7,6,5,2,4,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[7,1,8,6,5,3,2,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,2,8,7,6,3,4,5] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,3,8,7,4,6,2,5] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[3,8,7,6,4,5,2,1] => [[[.,[[[[.,.],.],.],[.,.]]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => 4
[1,8,7,6,5,4,2,3] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,8,6,7,4,5,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,8,5,7,4,6,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,7,4,8,5,6,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,7,3,8,5,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,5,6,2,7,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,3,8,4,6,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,4,7,3,6,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,8,5,7,3,6,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,8,6,7,3,5,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,5,2,8,6,7,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,6,2,8,5,7,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,6,2,8,4,7,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,7,3,6,2,8,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,4,5,6,8,9,7] => [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,2,4,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[6,7,4,8,3,5,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,4,5,2,8,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,4,6,2,3,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,4,6,3,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,4,8,3,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,4,5,3,7,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,4,6,3,7,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,4,8,3,7,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,3,7,2,4,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,3,7,2,8,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,3,8,2,7,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,4,8,2,7,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,4,6,2,7,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,4,5,2,7,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,4,5,2,6,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,4,5,2,3,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,4,6,2,3,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,4,8,2,3,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,3,8,2,4,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,6,3,4,2,8,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,6,3,5,2,7,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,6,3,5,2,8,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,6,3,8,2,5,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,8,3,6,2,5,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,3,6,2,4,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,3,5,2,4,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,3,5,2,4,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,3,5,2,6,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,3,6,2,7,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,8,3,6,2,7,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,6,3,8,2,7,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,6,3,7,2,8,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,7,3,6,2,5,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,7,3,6,2,8,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,7,3,8,2,6,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,4,8,2,6,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,3,6,2,8,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,3,6,2,4,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,3,5,2,4,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,3,5,2,8,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,4,8,2,5,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,5,8,2,4,1,3] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,5,7,2,3,1,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,4,8,2,3,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,3,8,2,4,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,7,3,4,2,8,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,3,4,2,6,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,3,4,2,8,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,7,4,8,2,3,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,4,7,2,3,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,4,7,2,3,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,4,6,2,3,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,3,6,2,4,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,3,7,2,4,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,3,7,2,4,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,8,3,7,2,5,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,7,3,8,2,5,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,7,3,5,2,8,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,7,3,5,2,6,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,5,3,7,2,6,1,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,5,3,7,2,8,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,5,3,8,2,7,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,8,3,5,2,7,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,3,4,2,7,1,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,3,4,2,7,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[7,8,3,4,2,6,1,5] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[6,8,3,4,2,5,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[5,8,3,4,2,6,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,8,3,5,2,6,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,5,3,8,2,6,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[4,5,3,6,2,8,1,7] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => 5
[8,5,7,6,4,2,1,3] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[2,1,6,8,7,4,3,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[2,1,7,8,6,4,5,3] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[5,7,8,6,2,3,1,4] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[5,8,7,6,3,2,1,4] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 5
[6,8,7,5,3,2,4,1] => [[[[[.,[[.,.],.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => 6
[2,1,8,6,7,5,3,4] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[6,7,5,8,1,3,4,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[8,6,5,7,4,1,3,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[2,1,7,6,8,3,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,3,7,4,6,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,2,5,4,7,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[8,1,3,5,4,7,6,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[6,1,5,4,3,8,7,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[6,1,8,3,4,5,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[7,1,5,3,4,8,6,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[7,1,4,3,5,6,8,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[8,1,3,4,5,6,7,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,7,2,4,5,6,3,8] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[8,5,2,1,4,3,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,2,6,3,5,4,7,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,4,1,2,8,6,5,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,8,2,6,1,5,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,8,6,7,2,1,5,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[8,5,6,4,2,1,7,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,7,5,6,3,2,4,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[6,1,2,3,8,5,7,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[7,1,2,3,6,5,8,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,5,7,3,2,4,6,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[3,1,8,6,4,2,7,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[8,1,6,7,4,3,2,5] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,4,1,3,8,7,5,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,8,1,3,6,4,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,1,8,3,2,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 10
[8,9,7,6,5,4,3,2,1] => [[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => 9
[8,7,9,6,5,4,3,2,1] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 9
[8,7,6,5,4,3,9,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 9
[8,7,6,5,4,3,2,9,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 9
[8,7,6,5,4,3,2,1,9] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9
[9,10,8,7,6,5,4,3,2,1] => [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => 10
[9,8,10,7,6,5,4,3,2,1] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 10
[9,8,7,6,5,4,3,2,10,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 10
[9,8,7,6,5,4,3,2,1,10] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[1,4,2,7,8,6,3,5] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,6,2,4,8,5,3,7] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,6,2,4,7,5,3,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,7,3,8,5,2,4,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,7,3,2,8,6,4,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,3,6,4,8,5,7,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[1,3,6,4,7,5,8,2] => [.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 2
[5,7,2,3,1,6,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,7,5,3,4,6,8,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[1,2,8,4,3,5,6,7] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,4,2,3,5,6,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,8,7,4,3,2,5,6] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,6,3,8,2,4,7,5] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,8,3,2,6,4,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,7,5,4,2,6,3,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,5,8,2,4,6,3,7] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,8,4,2,7,3,6] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,4,6,2,8,3,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,3,2,7,8,4,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,4,5,3,8,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,8,3,2,4,5,6,7] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[4,2,5,6,7,8,1,3] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[4,1,5,2,8,7,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,1,2,4,6,5,3,7] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[8,1,2,5,4,6,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[8,1,2,6,4,5,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[8,1,2,5,6,4,3,7] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[8,1,2,6,5,4,3,7] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,7,5,4,2,8,3,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[5,1,4,8,2,7,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,4,6,8,2,7,3,5] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,7,6,2,8,3,5] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[5,1,4,7,2,8,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,7,4,5,2,8,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[4,1,5,8,2,7,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,4,6,2,8,7,3,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,2,8,6,7,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[3,1,2,6,4,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,6,3,4,8,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,1,2,7,4,6,8,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,4,7,2,6,8,3,5] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,3,6,8,5,7,4] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[5,1,4,2,7,8,3,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,4,2,7,6,8,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,4,2,6,8,7,3,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[3,1,2,8,4,6,7,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[3,1,2,7,6,4,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,7,4,3,2,5,8,6] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,8,7,3,4,2,5,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[3,1,7,8,2,6,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,4,2,7,8,3,6,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[2,1,8,6,3,4,7,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,4,2,6,8,3,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,7,8,5,6,4] => [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,2,3,7,5,8,6,4] => [.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,4,2,7,3,8,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[3,1,7,2,8,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,1,7,8,3,4,6,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,2,3,8,7,5,6,4] => [.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[10,1,2,3,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[10,9,1,2,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[8,6,3,7,2,1,5,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[7,6,3,8,2,1,5,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[6,7,8,3,2,1,5,4] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[2,1,7,8,5,6,3,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,1,5,4,2,8,6,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,1,5,3,8,2,6,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,1,5,8,3,2,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,4,5,8,2,1,7,6] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[1,8,4,6,3,7,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[4,5,6,7,2,1,8,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[2,5,1,6,7,4,8,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,5,6,7,8,1,3,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[4,5,6,7,3,1,8,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[1,8,5,6,7,4,3,2] => [.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 2
[6,1,5,7,3,2,4,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[6,1,5,8,3,2,4,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[6,1,5,7,8,3,2,4] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[6,1,5,8,7,3,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[2,5,7,4,1,6,8,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,8,2,5,1,6,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,5,2,1,7,8,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[2,1,7,5,3,8,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,6,2,1,8,3,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,9,8,7,6,5,4,3,2] => [.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2
[1,10,9,8,7,6,5,4,3,2] => [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 2
[6,1,5,2,4,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,5,3,4,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,5,3,4,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,8,4,5,3,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,7,3,6,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[8,1,7,5,6,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,8,4,7,5,6,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[8,1,7,3,4,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,7,3,6,2,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,7,2,4,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,3,2,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[2,1,8,3,7,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,5,2,4,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,3,2,8,6,7,5] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,8,6,7,3,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,8,3,7,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[8,1,3,2,7,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[8,1,7,5,6,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,7,2,6,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[8,1,7,4,6,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,8,5,7,3,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,7,4,6,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,5,8,7,3,6,2,4] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[1,7,2,8,4,6,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[3,1,6,8,4,5,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,3,7,8,4,6,5,2] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,5,7,8,2,4,6,3] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[5,1,7,8,2,4,6,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[5,6,8,7,3,2,1,4] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 5
[1,2,7,8,5,4,6,3] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,7,5,8,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,6,8,5,4,3,2,7] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[7,5,8,6,3,4,2,1] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 6
[4,1,8,3,5,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,6,8,4,5,3,2,7] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[1,7,3,8,5,4,6,2] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[7,1,3,8,4,6,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,3,2,8,5,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,4,3,2,8,5,6,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[5,1,3,2,4,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,2,8,4,5,3,7,6] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,2,8,5,3,6,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,8,4,2,5,3,6,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[8,1,5,3,2,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,8,1,5,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,5,2,8,4,3,6,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,8,5,4,3,6,7] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,2,5,4,3,8,6,7] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,4,8,5,3,7,6] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,2,7,4,8,5,3,6] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,5,2,7,8,4,3,6] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[5,1,2,7,4,8,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,2,8,5,7,4,3,6] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,2,4,8,7,5,3,6] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[6,1,2,8,7,4,3,5] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[7,1,6,2,8,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,7,2,8,4,3,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,1,2,8,5,3,4,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,7,2,8,4,5,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,4,2,7,8,5,3,6] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[6,1,2,8,4,3,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,2,7,3,5,8,4,6] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,7,5,8,3,4,6] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,2,5,8,7,3,4,6] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,2,5,8,3,7,4,6] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,1,2,8,4,3,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,2,8,4,7,5,3,6] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,2,8,7,4,5,3,6] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[8,1,6,2,7,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,2,8,6,4,3,5] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[9,2,1,3,4,5,6,7,8] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[10,2,1,3,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[4,2,3,5,6,7,8,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[2,3,4,5,6,7,8,9,10,11,1] => [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[5,8,7,4,3,6,2,1] => [[[[[.,[[.,.],.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => 6
[8,1,7,4,3,6,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,6,8,5,7,4,3] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[5,1,8,4,7,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[5,8,3,6,1,4,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,8,1,2,5,6,7,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[8,1,7,4,5,2,3,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,1,8,4,5,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,1,5,8,3,6,7,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,1,8,2,5,6,7,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[3,4,8,2,5,6,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[5,8,3,1,6,2,7,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,7,3,6,8,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[3,1,4,7,6,8,5,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[4,1,3,7,6,8,5,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[5,1,7,3,6,8,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[6,7,1,3,5,8,4,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[8,1,4,7,2,6,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[8,1,3,2,7,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,8,2,1,7,6,5,4] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,7,1,2,8,5,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[8,3,2,1,7,6,5,4] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,2,7,8,6,5,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,5,7,2,8,6,4,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,5,7,8,2,6,4,3] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,4,8,7,2,6,5,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,3,8,2,7,6,5,4] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,8,3,7,6,5,4] => [.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,1,8,3,7,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,8,7,2,6,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,7,8,2,6,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,8,1,2,7,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[2,8,1,3,7,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,8,2,3,7,6,5,4] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[8,1,2,3,7,6,5,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[8,1,4,5,7,6,2,3] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[8,1,3,5,7,2,6,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[8,1,2,5,7,3,6,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[8,1,2,4,3,7,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[8,1,3,4,2,7,6,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[8,1,6,7,2,3,5,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,7,1,2,3,8,6,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[3,7,1,2,4,8,6,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[2,7,1,3,4,8,6,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[5,6,2,1,8,3,7,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,5,2,1,8,3,7,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,1,5,2,7,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,4,2,3,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[8,1,3,2,4,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[8,1,2,3,4,7,6,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[2,1,4,6,5,8,3,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,1,6,8,5,7,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[2,1,4,6,8,5,7,3] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[2,1,4,6,8,5,3,7] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,4,1,3,6,8,7,5] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[2,1,4,6,8,3,7,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,4,6,8,1,3,7,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,6,4,8,7,5,3] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,6,4,7,3,8,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,3,7,4,5,8,2,6] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,7,6,3,4,8,2,5] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[8,1,6,3,7,2,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,6,3,8,2,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,2,7,4,8,3,5,6] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[6,1,7,3,4,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,1,7,4,5,8,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[5,1,4,7,3,8,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,1,2,4,8,3,6,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,6,2,4,8,3,5,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,5,3,2,8,4,6,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,4,8,7,2,3,5] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[5,1,4,8,7,2,3,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,7,2,1,5,4,8,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[3,8,2,1,5,4,7,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,4,6,2,7,8,5,3] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[3,1,8,5,4,2,6,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,2,7,5,4,8,6,3] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,6,2,5,4,8,7,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[7,1,2,5,8,3,6,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,8,2,5,7,3,6,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[4,1,6,2,8,7,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[7,8,1,2,4,6,5,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[7,8,3,1,4,2,6,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,5,1,6,4,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[6,1,5,7,4,3,2,8] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,5,8,6,4,3,2,7] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[1,6,8,7,4,3,2,5] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[5,1,7,6,4,3,2,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[6,1,7,8,4,3,2,5] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[7,1,8,6,4,3,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,8,7,6,4,3,2,5] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[2,1,7,5,6,3,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,6,7,5,8,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,2,8,5,6,3,7,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,1,2,5,7,3,8,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,6,3,7,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,3,6,8,5,7,2,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,3,6,4,8,7,2,5] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,1,6,7,3,8,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,1,7,5,2,3,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,2,4,5,8,3,7,6] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,1,6,4,7,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,8,5,7,4,3,2,6] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[7,1,5,8,4,3,2,6] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[5,1,8,7,4,3,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[6,5,1,8,4,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,5,7,8,4,3,2,6] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2
[1,6,5,8,4,3,2,7] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[1,2,3,4,5,8,6,9,7] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[9,8,1,2,3,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[9,8,7,6,5,4,3,1,2] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9
[9,10,7,8,5,6,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[10,9,8,7,6,5,4,3,1,2] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[6,1,2,5,4,7,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,6,7,4,8,3,5,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[1,4,6,3,7,5,8,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[1,7,5,4,3,8,6,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,4,6,3,5,8,7,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[1,5,8,4,3,6,7,2] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[8,4,6,3,2,1,7,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[8,6,4,3,2,1,7,5] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[7,6,4,3,2,1,8,5] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[7,8,4,3,2,1,6,5] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[2,1,5,7,8,6,3,4] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[7,6,8,5,4,3,2,1,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8
[2,1,7,6,3,8,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,7,6,3,8,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,1,4,5,8,7,3,6] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[7,3,5,6,8,1,2,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[2,1,4,5,8,6,3,7] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[2,1,4,5,8,3,7,6] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,8,1,5,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,8,6,7,2,5,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,5,7,2,6,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,2,7,5,6,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,8,2,7,4,6,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,8,4,7,2,6,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,4,7,5,6,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,3,7,5,6,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,3,7,4,6,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,3,7,2,6,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[7,1,8,4,5,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,6,7,4,2,8,5,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,6,7,3,8,5,2,4] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[7,1,8,3,5,6,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,5,7,8,2,6,3,4] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,1,5,4,7,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,5,7,4,2,6,8,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[6,5,3,1,4,2,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,1,6,5,4,8,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[4,1,6,5,8,3,2,7] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[5,1,6,8,4,3,2,7] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[8,5,4,7,6,3,2,1] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 7
[8,7,2,1,4,3,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,1,2,3,4,5,6,7,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[9,1,2,3,4,5,6,7,8,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,6,2,4,7,8,5,3] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,4,7,2,5,8,6,3] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[4,6,8,5,3,7,1,2] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,6,5,4,2,8,7,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,8,5,2,7,3,6,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,6,4,8,2,5,7] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[4,1,7,5,3,2,6,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,4,6,2,5,8,3,7] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,6,8,7,4,2,3,5] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[6,1,7,8,2,4,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[7,1,8,6,3,4,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,2,8,3,6,5,7,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[6,1,3,2,7,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,6,3,8,5,7,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,6,4,3,7,2,8,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,1,3,4,5,2,8,6] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,8,3,5,4,2,7,6] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,1,6,3,8,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,8,2,4,6,3,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,5,3,8,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[1,4,7,5,3,8,2,6] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[6,1,4,2,8,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,8,6,5,3,2,7,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 5
[1,7,5,8,2,6,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,3,8,5,7,6,2,4] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[8,1,2,5,6,3,7,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,8,2,5,7,6,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[5,1,8,6,2,7,3,4] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,1,7,6,8,4,2,3] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[5,1,3,7,8,6,2,4] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,2,8,6,5,7,3,4] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,1,3,5,4,7,8,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[6,1,5,3,4,7,8,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[8,1,6,5,7,3,2,4] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,8,5,6,3,7,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,7,6,5,4,2,8,3] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[7,1,4,2,6,5,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,7,3,5,6,8,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,7,6,4,5,2,8,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,8,3,6,5,7,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[8,1,3,5,7,6,2,4] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[6,1,5,4,3,7,8,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[7,5,6,4,2,1,8,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[6,1,4,3,5,7,8,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[6,1,3,4,5,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,4,7,2,5,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,7,6,5,8,3,4] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[7,8,1,2,5,6,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,6,2,5,7,3,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,1,2,5,8,7,3,4] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[2,1,8,6,4,7,3,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[7,1,3,6,8,4,2,5] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,8,3,6,7,4,5,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[7,1,5,8,3,6,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,1,8,7,2,3,6,4] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[6,1,5,7,4,2,8,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[3,1,6,4,7,2,5,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,3,7,4,8,2,5,6] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,2,7,8,5,4,3,6] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[7,6,1,8,5,3,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[3,1,7,5,6,4,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[5,1,7,6,4,8,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[6,1,7,8,5,3,4,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[7,1,8,6,5,4,2,3] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,6,4,7,5,8,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,7,4,6,8,2,5] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,7,6,5,4,8,2,3] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[8,1,6,5,7,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,2,7,6,8,3,4,5] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[6,1,7,5,3,8,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,7,5,6,8,3,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[6,1,2,8,4,3,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,6,2,5,8,3,4,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[8,4,2,1,7,3,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,5,4,2,8,3,6,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,6,8,5,4,2,3] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[1,4,8,6,7,5,2,3] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[5,4,3,8,6,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[1,3,8,7,5,6,2,4] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[2,1,8,7,4,6,3,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,1,8,5,7,6,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,5,8,7,4,2,3] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[5,4,1,8,7,6,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[5,8,6,7,4,3,2,1] => [[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => 6
[4,8,7,5,6,3,2,1] => [[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => 5
[2,1,6,4,3,5,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,1,6,4,3,8,5,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,1,8,4,3,6,5,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,1,4,3,8,6,5,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,4,1,3,8,6,5,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,1,4,8,3,6,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,4,8,6,3,5,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,4,8,6,1,3,5,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,6,8,2,1,3,5,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[2,1,6,8,4,3,5,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[2,1,8,6,4,3,5,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[5,1,8,3,4,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,5,4,8,3,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,7,6,8,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[7,1,6,3,8,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,8,4,6,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,6,3,4,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,6,3,7,2,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[2,1,7,3,8,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[7,1,3,2,8,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[7,1,8,5,6,2,4,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,1,8,2,6,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,6,5,8,3,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,7,4,8,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[5,1,4,8,3,2,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,5,8,4,3,2,6,7] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,8,5,4,3,2,6,7] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,7,4,3,8,5,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,5,7,3,8,4,2,6] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[5,1,4,7,8,3,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[4,8,1,5,7,3,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[8,1,5,3,7,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,8,4,7,6,5,2,1] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 4
[1,6,8,5,3,7,4,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[1,7,5,6,3,2,8,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[2,1,7,3,5,8,4,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,2,8,7,4,5,6,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[8,1,6,2,7,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,8,5,2,6,7,4,3] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[1,7,8,5,2,6,4,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[8,1,7,5,6,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,8,6,7,5,4,3,2] => [.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[8,1,4,7,3,6,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,1,8,5,7,4,3,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[5,1,4,6,8,3,7,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[3,8,1,2,5,7,6,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[6,1,7,4,5,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,1,6,7,5,8,3,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,1,5,7,3,6,8,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,1,7,2,5,6,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,6,2,1,8,7,5,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[4,6,1,2,5,8,7,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[4,8,7,3,2,1,6,5] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[5,8,7,6,3,4,2,1] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 5
[5,8,7,6,3,1,4,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[5,8,7,6,3,2,4,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 5
[5,8,7,6,2,1,4,3] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[5,8,7,6,4,2,3,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 5
[5,8,7,6,4,2,1,3] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 5
[5,8,7,6,4,1,3,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[5,8,7,6,4,3,1,2] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 5
[1,4,6,7,3,8,2,5] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,6,7,3,8,5,2] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[1,5,6,7,8,3,4,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[1,5,6,7,8,3,2,4] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[1,5,6,7,8,2,4,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,5,6,7,8,4,2,3] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[7,1,2,3,4,5,6,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[1,4,3,6,2,5,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,4,3,7,2,5,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,4,3,7,6,8,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,4,3,7,5,8,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,4,3,7,2,6,5,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,3,7,4,8,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,2,6,5,8,4,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,5,4,8,2,6,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,4,8,3,7,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,2,3,6,5,8,4,7] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[7,8,1,4,5,3,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,8,3,6,1,5,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,1,8,4,2,6,3,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,6,3,8,5,2,4,7] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[6,1,3,8,5,2,4,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,8,2,3,6,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,5,2,3,8,4,7,6] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,1,2,3,8,4,7,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,5,1,3,8,4,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,2,5,3,8,4,7,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,4,8,3,7,6,5] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,4,8,2,3,7,6,5] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,1,3,8,2,4,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,5,4,8,2,7,6,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,1,6,2,8,7,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,4,2,5,8,7,6,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,3,4,8,7,2,6,5] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,7,6,5,3,8,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,7,6,5,2,4,8,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[5,1,6,2,4,8,3,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,1,3,5,4,8,7,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,2,6,3,4,8,7,5] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[6,1,4,2,8,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,2,6,7,4,8,5,3] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[3,1,6,7,4,2,8,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,7,1,2,5,3,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,7,6,5,2,1,8,4] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[6,3,2,1,7,4,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,5,4,3,2,1,8,6] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[1,7,6,2,4,8,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[7,1,8,5,3,6,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[8,7,3,1,6,5,4,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,8,5,7,4,3,6,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[1,8,5,7,2,4,6,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[3,7,2,6,8,4,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,5,4,8,3,2,1,7] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[7,5,8,6,4,3,2,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 7
[3,8,7,6,5,1,4,2] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[3,2,1,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[3,2,1,4,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[5,1,7,8,4,3,2,6] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[5,1,2,6,4,3,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,2,5,4,3,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[5,1,2,4,6,3,8,7] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[4,1,2,6,5,3,8,7] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,5,7,8,3,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[4,1,5,8,7,3,2,6] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[4,1,7,8,5,2,3,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[5,1,7,4,8,2,3,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,5,8,7,3,4,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[5,1,8,4,7,2,3,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,1,8,7,5,2,3,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[6,1,2,3,7,5,8,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[7,1,2,3,8,6,5,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[7,1,2,3,5,8,6,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[2,1,7,3,4,8,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[8,1,2,3,5,7,6,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[8,1,2,3,6,7,5,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[7,1,2,3,6,8,5,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[7,1,2,3,8,5,6,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[8,1,2,3,7,5,6,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[8,1,2,3,6,5,7,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[7,1,8,5,4,3,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[8,1,7,5,4,3,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[8,1,7,4,5,3,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,1,7,3,4,6,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[7,1,2,3,5,6,8,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[6,1,2,3,8,7,4,5] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,1,2,3,7,8,6,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[5,1,2,3,8,7,6,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[5,1,2,3,8,6,7,4] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[6,1,2,3,5,8,7,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[2,1,6,3,4,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[6,1,2,3,5,7,8,4] => [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 3
[5,1,2,3,6,8,7,4] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,3,8,5,4,2,7,6] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[7,1,4,2,6,3,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,6,4,2,8,3,5,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,3,8,5,4,2,7] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,1,3,6,5,4,2,8] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,1,6,5,4,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[7,1,2,3,6,5,4,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[6,8,1,2,7,3,5,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,6,2,3,8,5,4,7] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,5,8,2,7,6,3,4] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[5,1,8,2,7,6,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,1,6,3,8,5,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,2,5,3,8,7,4,6] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[4,1,8,7,6,5,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[1,5,8,4,7,2,6,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[5,6,1,2,4,3,8,7] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,3,2,5,8,7,4,6] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[3,1,4,8,7,6,2,5] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,2,7,5,8,6,4,3] => [.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[7,1,4,8,2,6,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,3,7,8,2,6,5,4] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[8,1,2,6,7,3,5,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[8,1,2,6,7,5,3,4] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,6,8,3,7,2,5,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,6,8,2,7,5,3] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,5,8,2,7,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,8,4,5,7,2,6,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,6,8,3,7,5,2,4] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[8,6,4,7,3,1,5,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[1,3,2,8,5,4,7,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[8,1,4,5,2,3,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[8,1,5,4,3,2,7,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[4,1,6,3,2,7,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,6,4,3,7,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[8,1,7,4,3,6,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[4,1,7,3,2,6,5,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,7,5,6,2,4,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,5,4,1,7,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,5,4,6,2,1,8,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[8,1,5,6,7,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,4,6,8,7,3,5] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,3,2,8,6,7,4,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[8,1,3,2,6,7,4,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[8,1,5,7,6,2,4,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,5,6,4,3,1,8,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[4,6,7,5,3,8,1,2] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[3,6,7,5,1,4,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,6,7,5,4,2,3] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[8,1,7,6,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[8,6,4,1,5,2,7,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,6,5,1,3,2,7,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[5,1,4,2,3,8,6,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,1,4,2,7,3,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[7,1,5,8,2,6,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,5,7,2,4,6,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,4,2,3,8,7,5,6] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,4,2,7,6,3,5,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,1,2,8,7,5,3,4] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[6,1,2,4,8,7,5,3] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3
[3,1,8,4,6,7,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[3,1,7,6,4,8,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[7,1,2,4,6,8,5,3] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3
[7,1,2,6,8,5,3,4] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[6,1,2,7,8,5,3,4] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[6,1,2,7,4,8,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[3,1,6,4,7,8,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[7,1,5,3,2,8,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[7,1,4,5,2,8,6,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[8,1,7,4,5,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,7,5,3,2,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[3,1,2,8,4,7,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[3,1,2,8,6,4,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,1,7,2,6,4,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,4,2,3,8,6,5,7] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,4,2,3,8,5,7,6] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,1,8,6,4,7,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[8,1,2,6,7,4,5,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,1,2,8,7,3,5,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,2,3,5,8,4,7,6] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,5,8,6,4,7] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[7,1,2,8,3,6,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[7,1,2,8,6,4,5,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[3,1,7,8,4,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,1,8,7,6,4,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[8,1,2,7,4,6,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[8,1,2,7,3,6,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,2,3,5,8,7,4,6] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,2,3,6,8,5,4,7] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[7,5,3,1,8,2,6,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[6,4,5,3,2,1,8,7] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[2,1,5,8,4,7,6,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,1,8,6,7,5,4,3] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[8,5,7,6,4,3,2,1] => [[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => 7
[2,1,7,5,4,8,6,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[6,8,5,7,4,3,2,1] => [[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => 7
[2,3,4,5,6,7,9,8,1] => [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[6,8,1,2,4,5,7,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[2,1,6,8,4,7,3,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,2,5,8,3,6,7,4] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,6,5,8,2,4,7,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[3,1,2,6,8,5,7,4] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,4,3,8,2,6,7,5] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[4,1,7,3,2,5,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,5,1,2,7,8,6,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[4,8,3,1,7,2,6,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,8,4,3,5,2,7,6] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,6,3,1,5,2,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,3,4,2,8,7,5] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,8,3,6,2,7,5,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,8,7,4,2,5,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,6,2,8,4,5,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[7,1,3,2,6,8,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,5,3,2,7,4,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[2,1,7,3,8,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,2,3,7,8,5,4] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[1,6,7,2,8,4,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[5,1,2,7,8,3,6,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[7,1,8,2,4,5,6,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[8,1,6,7,5,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[8,1,2,6,4,3,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,8,6,5,4,3,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,2,7,5,4,3,8,6] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,2,4,3,8,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,7,2,8,3,6,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,7,8,6,5,2,4,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,8,7,6,5,2,4,3] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[8,1,7,3,2,6,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,4,3,2,8,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[8,6,5,3,2,1,7,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[8,6,1,7,4,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,4,3,7,2,5,8,6] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[7,1,5,8,3,2,6,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,7,4,1,8,2,6,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,8,7,2,5,4,6,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,8,5,3,7,2,6,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,3,1,8,7,5,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,4,8,6,3,5,2,7] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[1,3,5,6,8,4,2,7] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2
[3,1,4,6,8,7,2,5] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,6,3,8,7,2,5,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,6,2,4,8,7,5,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[7,1,6,4,8,5,2,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,3,7,2,6,8,4,5] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[8,7,6,4,3,1,5,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[8,6,1,7,5,4,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,6,2,8,7,3,5,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,8,2,4,6,7,3,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[2,1,5,8,6,4,3,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,2,5,7,8,4,3,6] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,2,7,4,8,6,3,5] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,2,7,8,3,6,5,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[7,1,8,6,3,5,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,8,7,6,3,5,2,4] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,8,7,4,6,3,2,5] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,1,5,8,3,4,6,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[7,1,6,4,2,3,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,6,4,5,2,3,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,4,5,6,8,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[7,1,4,6,5,8,3,2] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[7,1,2,3,8,5,4,6] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[7,1,5,4,3,8,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[7,1,3,4,2,6,8,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[7,1,5,4,6,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,1,5,6,4,3,8,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[7,1,6,5,4,3,2,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,5,1,4,7,8,6,3] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,6,4,7,2,5,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,4,8,2,5,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,5,8,2,4,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,8,2,4,3,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,2,4,3,7,8,5] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,5,6,2,4,7,3,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,6,2,4,7,8,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,5,8,2,4,7,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,7,2,4,8,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,6,5,7,2,4,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,7,2,4,3,8,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,6,7,2,4,8,3] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,8,2,4,6,7,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,5,7,2,4,6,8,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,5,7,8,3,2,4,6] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,5,8,3,2,4,6,7] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,5,6,2,4,8,3,7] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,6,2,8,3,4,5] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,3,4,2,8,6,5] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,2,4,3,8,7,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,5,6,2,4,8,7,3] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,5,8,7,3,2,4,6] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,4,2,3,5,8,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,5,2,3,4,8,7,6] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,6,5,2,3,8,7,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,7,4,2,8,6,5,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,7,6,5,2,8,4,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,6,7,5,2,3,8,4] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,5,2,8,4,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,5,6,2,8,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,7,6,2,4,8,3] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,5,8,3,2,4,7,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,6,5,2,3,7,4,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,6,5,2,3,7,8,4] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,6,8,4,2,3,7,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,4,6,2,8,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,3,5,2,8,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,8,5,2,3,7,4] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,6,4,2,3,7,8,5] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,6,4,2,3,7,5,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,8,6,2,4,7,3] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,5,7,3,2,4,8,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,3,4,2,8,5,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,4,2,8,5,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,6,7,4,2,3,8,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,6,4,2,3,8,5,7] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,6,4,2,8,5,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,7,5,2,8,6,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,6,4,2,3,8,7,5] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,7,6,4,3,5,8,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[1,8,6,4,2,7,5,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,8,4,3,7,2,5,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[6,1,4,3,8,2,5,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,4,3,7,2,5,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,4,8,3,6,2,5,7] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[7,5,8,6,3,2,1,4] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[6,5,8,7,3,2,1,4] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[8,5,7,6,3,2,1,4] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[1,8,7,3,6,2,5,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,8,7,5,3,2,1,4] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6
[1,5,4,7,6,8,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,7,4,6,5,8,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,6,2,7,5,8,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,6,4,8,5,7,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,4,6,5,7,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,5,4,8,6,7,2,3] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,2,6,5,7,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,7,2,8,5,6,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,7,2,6,5,8,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,5,2,7,6,8,3,4] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,7,6,8,2,5,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,6,8,4,5,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,3,2,7,6,8,4,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,7,6,8,2,4,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,6,7,2,4,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[7,8,2,1,4,3,6,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,5,6,7,8,1,9,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,5,6,7,8,1,2,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,6,2,3,8,7,4,5] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,7,4,3,2,8,6,5] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,4,7,6,2,5,8,3] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,2,6,5,3,7,4,8] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,6,5,3,7,8,4] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,3,7,5,2,6,8,4] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,3,7,4,2,6,8,5] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,2,6,4,3,7,8,5] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,2,6,4,3,7,5,8] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,4,7,3,2,5,8,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,4,3,2,5,8,6,7] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,3,2,4,8,6,7] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,5,3,2,8,6,4] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,5,3,2,4,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[7,6,5,4,3,1,8,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[6,8,5,4,3,2,1,7] => [[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => 7
[7,1,5,4,3,8,6,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[4,6,5,8,3,1,7,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[6,8,5,1,3,2,7,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,8,2,4,3,7,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,6,3,4,8,7,5,2] => [.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 2
[1,4,5,8,3,7,6,2] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[1,8,5,2,3,7,6,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,8,3,4,7,2,6,5] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[7,5,8,4,3,2,1,6] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[5,1,8,7,4,2,3,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[6,1,4,5,3,2,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,7,1,2,4,3,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[7,1,8,2,5,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,1,7,4,2,5,6,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,1,5,8,7,4,6,3] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[4,1,7,2,8,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,8,5,2,7,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,7,4,5,8,6,3] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,1,8,3,6,7,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[7,6,2,1,5,8,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[5,1,6,8,4,7,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[8,1,6,4,7,3,2,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[6,1,4,8,7,3,5,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[3,1,8,7,2,5,6,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,2,7,3,5,6,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[6,8,1,2,4,5,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[8,1,6,2,4,5,3,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,8,1,6,2,3,4,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,6,5,8,2,3,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,7,4,3,8,6,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,1,5,3,4,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[4,7,6,8,2,1,5,3] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[6,1,8,7,4,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,5,8,6,3,4,7,2] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[4,1,3,8,5,6,7,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[6,5,8,4,3,1,7,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,8,5,2,3,6,7,4] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,8,3,2,5,6,7,4] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[2,1,8,3,5,6,7,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,4,8,2,3,6,7,5] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,1,2,7,8,6,4,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[5,8,3,6,7,4,1,2] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,4,7,3,2,8,5,6] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[6,1,5,3,8,7,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[5,1,4,8,2,6,7,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,8,2,5,1,6,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,5,4,8,2,6,7,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[3,1,5,8,6,2,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,4,1,8,2,7,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,1,6,4,7,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[8,1,5,4,3,7,6,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[8,1,5,4,3,7,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[8,1,5,4,3,2,6,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[8,1,6,4,2,5,3,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,7,2,5,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,1,7,2,5,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[8,1,6,4,2,5,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,3,1,5,2,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,1,5,4,3,6,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[8,1,5,4,3,6,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,5,3,8,6,7,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,8,3,6,2,7,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,4,8,2,7,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,3,6,4,8,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,7,2,8,4,6,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,7,5,8,4,6,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,7,5,8,2,6,3,4] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,5,6,3,8,2,4] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[7,1,5,8,4,6,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[8,4,3,1,7,2,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,1,5,4,2,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[8,1,6,4,7,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,5,8,4,2,7,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[8,7,3,1,4,2,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,3,2,1,7,4,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,1,6,7,5,3,4,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[2,1,5,8,7,6,3,4] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,1,4,7,6,3,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[4,1,3,7,6,2,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,7,1,4,6,8,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[4,1,6,3,5,8,7,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,1,6,5,8,4,7,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,6,8,5,4,3,7] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[4,1,8,5,6,2,3,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,1,8,2,7,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[3,8,1,2,6,7,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,1,8,4,3,7,5,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,4,8,2,6,3,5,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,7,3,5,4,8,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,3,8,4,5,7,6] => [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,8,3,4,5,7,6] => [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,3,8,2,6,4,5,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,7,2,3,6,4,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,2,3,5,4,8,6] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,3,8,2,4,5,7,6] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,3,8,4,6,7,5] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,8,2,3,5,4,6,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,7,8,2,3,6,4,5] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,6,7,8,2,3,5,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,7,8,2,5,3,6,4] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,7,8,2,4,5,3,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,8,3,6,4,5,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,8,2,3,6,4,5,7] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,2,8,3,5,4,6,7] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,7,8,3,6,4,5] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,7,8,3,6,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,2,8,4,6,7,5] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,8,2,3,4,6,7,5] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,7,8,2,4,3,6,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,7,3,1,5,2,8,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,8,3,1,5,2,7,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,7,5,2,3,8,4,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[2,1,3,7,5,4,8,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[3,6,8,2,1,4,5,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[1,5,2,8,3,4,7,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,2,6,3,8,7,4,5] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,8,3,6,4,7,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,7,6,3,4,8,5] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[2,1,3,8,7,5,4,6] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,2,3,8,6,4,7,5] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,3,7,4,8,6,5] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,7,6,3,8,4,5] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,3,6,4,8,7,5] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,3,7,6,4,8,5] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[2,1,3,8,5,4,7,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,1,8,4,2,3,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,1,8,4,3,5,7,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,8,7,4,2,3,5,6] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,5,2,8,7,3,4,6] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,7,3,6,4,8,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,8,6,3,7,4,5] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,7,3,8,6,4,5] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,3,8,4,7,6,5] => [.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,2,7,3,4,8,6,5] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,6,3,8,4,7,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,2,3,8,7,4,6] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,8,4,2,7,3,5,6] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,8,6,3,4,7,5] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,2,7,3,8,4,6,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,3,8,7,4,6,5] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,3,8,7,6,4,5] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[3,4,8,6,1,2,5,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,8,5,7,2,1,6,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[5,8,6,7,2,1,4,3] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[4,1,2,6,7,5,3,8] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[4,1,7,5,2,8,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,8,6,7,4,1,3,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[5,8,6,7,3,1,4,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[4,8,6,7,3,1,5,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[4,1,6,7,5,3,8,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[5,1,8,3,6,7,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,4,7,8,5,6,2,3] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[3,6,1,4,7,8,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,6,8,4,7,5,2,3] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[4,1,3,7,5,8,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[6,1,7,3,8,4,2,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,8,6,3,5,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,1,7,6,5,8,4,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,3,8,6,2,7,5,4] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[6,1,3,2,7,8,4,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,8,6,2,5,3,4,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[8,7,3,6,4,5,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[1,8,6,4,5,2,3,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[4,1,8,3,6,7,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,2,7,3,6,5,8,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[4,1,7,5,8,6,2,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[5,1,7,8,4,3,6,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,4,3,5,7,8,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,5,2,7,4,3,8,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,8,6,5,4,3,2,7] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[6,1,5,2,8,4,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,7,1,2,8,5,6,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,4,7,2,8,5,6,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,7,3,5,8,6,2,4] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[7,1,2,5,8,6,3,4] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,7,2,5,8,6,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,7,6,8,2,3,5,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[4,7,5,8,3,1,6,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,2,7,6,8,3,5,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,7,6,8,2,1,5,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[7,4,2,1,6,8,5,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[6,7,4,1,8,5,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[3,1,7,6,8,2,5,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,3,7,6,8,2,5,4] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,4,2,6,8,5,3] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[7,1,4,2,8,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[7,1,8,2,5,4,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[7,1,6,8,5,4,2,3] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[7,1,2,6,8,5,4,3] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,7,2,6,8,5,4,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,7,6,8,3,2,5,4] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,1,5,8,6,3,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[6,7,3,1,8,5,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[7,6,8,3,2,1,5,4] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[8,1,5,6,7,2,4,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[8,1,4,6,7,3,2,5] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[8,1,3,6,7,4,5,2] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[8,1,4,5,3,7,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[8,1,7,2,4,5,6,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[5,6,2,8,1,4,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[8,1,6,3,2,5,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,4,3,5,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[6,2,3,4,7,8,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[5,6,1,4,2,3,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,2,3,4,5,8,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[5,1,4,3,6,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,4,3,7,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,4,3,8,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,4,1,7,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,1,4,2,7,8,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[5,1,6,3,4,2,7,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,8,6,5,3,2,1,7] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 5
[5,4,8,7,3,2,1,6] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[5,1,8,4,2,3,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[5,1,7,4,2,3,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,8,7,6,3,2,1,5] => [[[[.,[[[.,.],.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => 5
[6,8,1,2,4,3,5,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,4,3,8,2,6,5,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[4,1,3,8,2,6,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,1,8,3,7,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[4,1,7,8,5,3,2,6] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,6,8,4,7,3,1,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,3,2,4,8,6,5,7] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[3,1,2,4,8,6,5,7] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,1,4,8,2,6,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,3,4,8,6,5,7] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,2,3,4,8,6,5,7] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[4,8,1,2,5,6,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[8,1,3,5,2,6,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[6,1,4,5,8,3,2,7] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,4,3,6,2,7,8,5] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,4,3,7,2,8,6] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[8,5,4,7,6,2,1,3] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,3,8,6,4,7,5,2] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[7,6,2,1,4,3,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,5,7,3,2,6,8,4] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,6,7,3,2,5,8,4] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,6,4,7,2,3,8,5] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[3,1,7,5,2,8,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,3,7,4,2,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[8,4,3,7,6,2,1,5] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,2,7,8,5,6,4,3] => [.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[2,1,7,3,8,6,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[8,1,4,7,6,5,3,2] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3
[7,8,6,5,4,1,3,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[6,4,7,3,2,1,8,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[6,5,4,1,8,7,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[5,8,4,1,6,7,3,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[5,3,2,1,6,4,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[6,1,7,8,5,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[4,1,7,6,5,8,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,4,5,7,2,6,3,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,3,5,6,2,4,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[8,1,3,5,7,2,4,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,4,5,6,8,1,7,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[8,2,3,5,6,7,1,4] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,7,2,3,5,4,6,8] => [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[8,1,2,3,5,4,6,7] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[2,4,5,7,8,1,6,3] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[8,6,4,1,7,5,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[2,3,6,7,8,1,5,4] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,3,6,7,2,5,4,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,1,4,2,8,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,8,2,5,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,7,5,4,2,3,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,7,2,6,5,4,3,8] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,7,6,3,2,5,4,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[8,1,7,6,3,2,4,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[8,7,2,1,6,5,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[8,7,6,3,2,1,5,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[2,1,8,6,3,7,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,1,7,5,4,3,8,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,1,8,4,5,3,6,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,7,8,3,6,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,8,5,7,6,3,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,1,4,8,5,7,3,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,1,5,4,6,8,3,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[5,8,2,1,7,6,4,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[4,2,3,5,8,1,6,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[3,2,4,5,6,8,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,5,7,8,4,6,2,3] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,3,5,7,8,6,2,4] => [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 2
[3,1,5,6,8,2,7,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,5,6,8,1,7,4] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[5,1,6,3,8,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,1,2,6,8,3,7,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,5,2,7,8,6,3,4] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,6,7,5,2,8,3,4] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[6,1,7,5,2,8,3,4] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,1,7,8,6,3,4,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[5,1,3,7,8,6,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[1,2,6,7,5,8,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[5,1,7,8,6,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[2,5,7,8,6,3,1,4] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[5,1,7,8,6,3,2,4] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,6,7,5,3,8,2,4] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[1,6,7,5,4,2,8,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,5,1,4,2,8,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,7,2,6,5,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,7,4,1,5,2,8,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,7,4,5,2,8,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,3,7,5,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[6,7,5,4,2,1,8,3] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[2,1,6,7,3,8,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,4,7,8,1,6,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[6,8,5,4,3,2,7,1] => [[[[[[.,[.,.]],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => 7
[5,8,4,3,2,1,7,6] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[8,7,5,4,3,1,6,2] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[3,5,2,6,8,4,1,7] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,4,5,6,8,3,2,7] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[6,1,4,7,3,2,8,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,7,8,4,5,3,2,6] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[5,1,7,3,8,4,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,4,3,1,7,8,5,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[5,1,6,3,7,8,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[5,6,1,3,7,8,4,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[5,6,1,7,8,3,4,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,6,3,7,4,8,5,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[6,7,2,1,4,3,8,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[2,5,6,3,1,7,8,4] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,3,7,8,6,4,2,5] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2
[4,6,2,1,7,8,5,3] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[5,1,6,7,8,2,4,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[4,1,3,6,8,2,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,2,3,6,8,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[5,3,2,1,8,4,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,6,5,8,2,1,7,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,6,2,4,5,8,3,7] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[6,2,4,5,8,1,3,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,3,4,6,5,8,2,7] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,6,3,4,5,8,2,7] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[8,1,4,2,7,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,5,3,2,8,7,4,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,6,4,5,8,3,2] => [.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 2
[4,1,3,5,6,8,7,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[3,7,4,8,2,1,6,5] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[2,1,8,5,6,7,3,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,2,8,3,5,6,7,4] => [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,7,5,3,8,4,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[8,2,4,6,7,1,3,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,6,3,2,5,8,7,4] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[5,1,4,2,8,7,6,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,8,4,2,5,6,7,3] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[8,1,3,6,5,2,4,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[8,1,4,3,6,5,2,7] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,3,4,8,5,7,2,6] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,4,7,5,8,2,6] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,3,5,2,4,8,7,6] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,1,3,5,8,6,7,2] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[3,4,7,8,2,1,6,5] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[5,1,3,2,8,6,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,8,4,3,7,2,6,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,3,8,7,2,1,5] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,6,4,1,3,2,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[6,1,3,8,5,7,2,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,5,8,7,4,6,2,3] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[2,1,7,6,4,5,8,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,7,2,4,6,5,8,3] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[4,1,5,2,6,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[4,1,8,5,2,6,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,7,8,3,5,4,6,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[3,4,5,7,8,2,6,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[3,4,8,2,1,5,6,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,7,8,2,4,5,6,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[4,1,5,6,7,8,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[4,1,6,3,7,8,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,1,6,3,8,5,2,7] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[4,1,6,7,3,8,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,6,8,3,5,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,1,7,3,2,8,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,8,3,2,5,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,6,2,7,8,5,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[5,1,2,6,8,4,3,7] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[5,1,6,3,8,4,2,7] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,2,7,8,4,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,1,2,3,7,8,5,4] => [[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 3
[6,1,2,3,8,5,4,7] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[6,1,2,7,8,5,4,3] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[6,1,7,3,8,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[6,1,7,8,4,5,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[6,1,8,3,4,5,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,2,3,4,8,6,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[7,1,2,8,4,5,6,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[7,1,8,3,4,5,6,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[5,8,1,2,4,3,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,3,5,7,2,6,4,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,5,8,6,1,2,4,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,1,6,8,2,4,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,6,2,8,1,5,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[2,6,1,3,8,4,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,7,5,2,3,4,6,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[7,1,8,6,3,2,4,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,6,7,5,3,2,4,8] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,7,3,6,5,2,4,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[8,1,3,7,2,6,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,9,8,7,6,5,4,3,1] => [[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3
[1,8,7,6,5,3,2,4] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,8,7,6,5,2,3,4] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,9,8,7,6,5,4,2,3] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2
[6,8,5,4,3,1,7,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[3,4,1,2,8,6,7,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,7,5,6,3,4,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[7,6,3,8,5,2,1,4] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,5,7,4,2,6,3,8] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,3,2,5,8,4,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[8,3,2,1,5,4,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,3,5,4,6,8,2,7] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[6,1,3,4,5,8,2,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,7,3,2,5,4,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[4,1,3,5,7,8,6,2] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3
[1,8,3,4,2,7,6,5] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,1,3,6,7,8,2,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,7,6,3,2,5,8,4] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[7,1,5,2,8,6,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[6,5,4,8,7,2,1,3] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,8,6,4,5,2,7,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,8,5,3,6,2,7,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,8,2,4,5,6,7,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[3,1,4,6,5,7,8,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[1,4,7,3,5,6,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[5,1,3,6,4,8,7,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,2,7,5,8,6,4] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,4,2,5,8,3,7,6] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,4,2,7,8,5,6,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[5,1,2,6,8,4,7,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,1,2,6,5,8,4,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,2,6,8,5,3,7] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,5,2,4,8,7,6,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,2,6,4,8,7,5,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,2,7,4,8,6,5,3] => [.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,3,2,7,5,8,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,3,2,8,5,7,4,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,4,2,5,8,7,3,6] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,5,2,4,8,7,3,6] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,2,6,4,8,7,3,5] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,2,7,8,5,6,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,2,6,8,5,7,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,6,8,2,7,3,4] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,8,2,6,7,4,5] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,7,2,8,6,3,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,6,7,8,2,5,3,4] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,6,8,3,7,5,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,5,7,8,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,5,2,7,8,4,6,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,4,7,2,8,3,6,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,6,2,4,8,7,5] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,6,7,3,4,8,5,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[1,5,3,7,4,8,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[1,3,6,4,2,8,7,5] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,3,7,4,2,8,6,5] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,3,8,4,2,7,6,5] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,2,8,4,7,3,6,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,2,7,4,8,3,6,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,2,6,4,8,3,7,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,2,4,8,3,7,6] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,8,4,5,7,2,3,6] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,8,3,5,2,7,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,8,6,2,7,4,5] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,4,8,6,7,2,3,5] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,6,8,7,2,3,4] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,2,6,8,5,3,7,4] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,2,7,8,5,3,6,4] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,2,5,8,7,3,6,4] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,2,6,8,7,3,5,4] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,2,7,8,6,3,5,4] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,6,7,8,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,5,7,8,6,2,3,4] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,4,7,6,8,2,3,5] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,3,7,6,2,8,4,5] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,8,4,7,6,3,5] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,2,5,8,7,6,3,4] => [.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,2,6,8,7,5,3,4] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,2,7,8,6,5,3,4] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[5,1,2,7,8,4,3,6] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[2,6,1,4,7,8,5,3] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[5,1,2,4,8,6,7,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[5,1,2,4,8,7,3,6] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[5,1,2,4,8,7,6,3] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,2,3,8,5,4,7,6] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[2,1,5,3,8,6,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,2,3,8,5,6,4,7] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,3,8,6,4,5,7] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,3,8,6,5,4,7] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,3,8,5,4,6,7] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[5,1,2,4,8,6,3,7] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[5,1,2,4,8,3,7,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,6,2,8,7,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,1,3,7,8,6,4,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[2,1,3,7,8,5,6,4] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[5,1,4,2,8,6,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,3,6,8,5,7,4] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,2,3,8,6,7,4,5] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,3,8,7,5,4,6] => [.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,3,8,7,4,5,6] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,3,8,5,7,4,6] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[2,1,3,6,8,7,4,5] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[3,1,6,2,8,7,5,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,8,3,4,2,5,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,8,4,3,2,5,6,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[8,4,7,6,5,3,2,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 6
[8,5,7,4,6,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 7
[8,1,7,4,6,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[8,1,7,3,6,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[8,1,7,2,6,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[8,1,7,6,5,3,4,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[8,6,7,5,4,1,3,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[8,7,6,1,5,2,4,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[6,4,8,5,3,7,2,1] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 6
[6,4,3,8,5,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[3,4,5,6,7,8,9,2,1] => [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4
[2,4,5,6,7,8,1,9,3] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,5,6,7,8,9,10,2,1] => [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => 4
[1,6,2,5,3,4,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,8,2,4,6,5,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,2,3,6,4,8,5] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,6,8,2,5,3,7,4] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,8,2,5,3,4,7,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,8,2,3,6,4,7,5] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,3,5,2,8,4,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,7,3,5,4,6,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,8,2,7,3,4,6,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,5,8,2,3,7,4,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,6,8,2,3,5,4,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,1,5,8,4,2,3,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[8,1,5,7,4,2,3,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[7,1,4,5,8,2,3,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[8,1,4,7,5,2,3,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[8,1,5,4,7,2,3,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,7,5,8,3,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,5,4,8,2,3,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,4,8,5,2,3,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,8,5,4,2,3,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[7,1,8,4,5,2,3,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,7,8,5,3,4,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[6,1,2,3,8,7,5,4] => [[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[6,1,2,5,4,8,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,3,6,8,7,4,2,5] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,2,8,5,7,3,4,6] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[4,8,1,2,5,7,3,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,7,8,4,6,2,5,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[4,1,7,3,8,5,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,6,7,4,5,3,8,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[6,1,7,3,5,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,4,7,2,8,5,3,6] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[4,1,6,8,5,3,7,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,7,3,2,4,8,5,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,8,5,3,6,2,4,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[5,1,7,2,4,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,5,3,4,8,6,2,7] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[5,1,8,6,3,4,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,6,7,4,8,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[7,1,3,5,8,2,6,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[4,1,3,8,2,6,7,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,1,7,2,8,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,5,8,4,7,2,3,6] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[7,1,3,6,2,8,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,8,4,5,7,3,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,8,5,7,3,2,4,6] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[2,1,8,5,4,3,6,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[7,1,3,2,8,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,7,4,2,3,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,3,4,8,6,5,2,7] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[4,1,8,6,5,3,2,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[2,1,5,6,8,3,7,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[5,8,1,2,6,4,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,6,8,3,2,7,4,5] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,6,4,8,2,7,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[3,1,5,6,4,8,7,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,4,3,8,5,7] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,6,3,5,8,7,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,2,7,3,6,8,5,4] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,2,5,8,4,7,3,6] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,3,6,8,5,2,7,4] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,2,6,8,5,4,3,7] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,3,5,8,2,4,7,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,4,6,8,3,2,5,7] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,3,7,5,6,8,2,4] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,2,6,7,3,8,5,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,2,5,7,3,8,6,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,1,5,7,6,8,4,2] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,2,7,5,6,8,4,3] => [.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[3,1,6,7,5,8,4,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,4,6,8,3,5,7,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[1,3,5,8,2,7,4,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,8,4,7,6,3] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,2,5,8,7,4,3,6] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,3,5,8,7,2,4,6] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[5,7,1,2,8,6,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[7,1,6,2,3,4,5,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[8,2,7,3,4,5,6,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[8,1,6,2,3,4,5,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[8,1,7,3,4,5,6,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[8,1,5,7,2,3,6,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,7,5,8,2,3,6,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[7,2,8,3,4,5,6,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,7,8,3,4,5,6,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[1,4,5,8,3,6,7,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[1,6,2,8,4,5,7,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[4,1,3,6,8,2,7,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,1,8,7,2,4,6,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,8,3,7,2,4,5,6] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[3,8,1,7,2,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,8,6,1,3,4,5,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[2,7,6,1,3,4,5,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,7,6,2,3,4,5,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,8,6,2,3,4,5,7] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,5,8,7,2,3,6,4] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[2,1,6,4,8,5,3,7] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[4,1,8,5,3,2,7,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,2,8,3,7,5,4,6] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[6,1,3,2,8,5,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,6,1,2,8,4,3,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,6,3,8,7,4,2,5] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[11,12,9,10,7,8,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[3,1,2,4,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[2,3,4,5,6,8,1,7,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,5,1,2,4,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[3,1,4,6,2,8,7,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,4,6,5,2,8,7,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,4,7,2,6,3,5,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[8,1,4,7,2,3,6,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,8,5,7,3,4,6,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[6,1,4,8,7,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,4,8,6,3,7,2,5] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[4,1,3,5,8,6,2,7] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,4,8,3,7,6,5,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,1,2,5,7,6,4,8] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,8,2,7,6,5,4,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[3,7,2,6,8,5,1,4] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[8,1,3,6,5,7,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,7,8,5,4,3,6,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[1,8,4,5,3,2,6,7] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[7,8,5,4,3,1,6,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[7,1,6,3,4,2,5,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,7,6,2,4,3,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,6,4,5,7,2,3,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,8,6,5,7,3,4,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[1,7,5,3,6,8,4,2] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[4,1,5,8,7,6,3,2] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,2,5,8,6,7,3,4] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,5,3,6,8,7,4,2] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[3,1,5,7,6,8,2,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,4,5,6,8,7,2,3] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,4,6,3,7,2,8,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,3,6,5,2,8,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,4,7,6,2,8,5] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[6,1,3,7,5,2,8,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,1,3,6,2,8,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[8,1,3,6,2,7,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,2,4,7,3,8,6,5] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[7,1,8,2,6,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,8,6,2,7,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,7,8,2,6,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,8,7,2,6,5,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,4,8,6,2,7,5,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,4,6,2,3,8,7,5] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,3,2,7,4,8,6,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[4,5,2,1,7,3,8,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[2,7,1,3,8,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,7,2,3,8,6,5,4] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[7,8,1,2,6,5,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[2,1,3,7,4,8,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[4,1,5,3,8,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,4,3,1,8,2,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,4,2,1,8,3,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[6,1,5,3,8,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,3,1,8,2,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,1,6,2,5,4,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,1,7,3,5,6,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[8,1,3,7,2,6,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,6,8,3,2,4,5] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[7,1,5,8,4,2,6,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[6,1,8,4,3,2,5,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[6,1,7,4,2,5,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,2,7,3,4,6,5,8] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,8,4,3,5,6,2] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[1,6,2,8,3,5,7,4] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[3,1,5,8,4,2,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[6,4,7,5,3,2,1,8] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[1,8,3,7,6,2,4,5] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,7,6,5,2,4,3,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,8,6,5,3,2,4,7] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[7,1,8,6,5,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[8,4,7,5,3,2,1,6] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[1,5,7,8,4,3,6,2] => [.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 2
[6,5,4,8,2,1,7,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[3,5,7,4,2,6,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[5,10,4,9,3,8,2,7,1,6] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[2,1,7,3,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,8,2,7,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[4,1,7,2,8,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,3,2,8,4,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,8,2,4,3,6,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,7,2,5,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,5,2,8,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,7,2,8,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,8,2,7,3,6,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,8,2,4,3,7,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,6,2,4,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,8,2,4,3,7,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,8,2,5,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,6,2,5,3,7,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[8,1,6,2,7,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,8,2,7,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,7,2,8,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,7,2,5,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[6,1,7,2,4,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[5,1,6,2,4,3,8,7] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,5,2,4,3,8,6] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,6,2,4,3,8,5] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,6,2,5,3,8,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,6,2,8,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[7,1,8,2,6,3,5,4] => [[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 3
[1,8,2,7,5,4,6,3] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,8,2,7,4,3,5,6] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,8,6,4,7,2,3,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,8,4,2,6,3,5,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,8,5,4,3,6,2,7] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,8,5,4,3,7,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,8,5,4,7,2,6,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,8,4,2,5,3,7,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[5,1,7,4,2,6,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[4,1,6,3,2,5,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,1,7,8,3,6,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,1,5,3,2,8,6,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,1,2,7,3,6,4,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,1,4,7,8,2,3,6] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,5,4,6,8,2,3,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,6,7,3,2,4,8,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,5,3,6,2,7,8,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[5,1,3,7,2,6,8,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[6,1,8,3,2,4,7,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[4,1,5,7,6,2,3,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,6,5,4,2,1,8,3] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[7,6,5,8,2,1,4,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[8,5,4,3,2,1,7,6] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[7,6,5,8,4,1,3,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[7,6,8,5,2,1,4,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[7,8,6,3,2,1,5,4] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[8,7,4,3,2,1,6,5] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[7,8,1,3,2,4,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,5,3,6,2,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[4,2,5,6,7,1,3,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[6,1,7,3,2,4,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,3,6,7,5,2,8,4] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,3,6,7,2,5,8,4] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,7,4,6,2,8,5,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,6,1,4,7,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[5,3,2,1,7,4,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,3,4,5,8,7,2,6] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[3,1,2,5,6,8,7,4] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3
[3,1,4,6,5,8,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,4,5,8,1,7,6] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,1,4,6,5,8,7,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[3,1,4,6,7,8,5,2] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3
[1,4,5,2,6,8,7,3] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[5,6,1,2,7,4,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[5,3,1,2,4,7,8,6] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[7,1,5,2,6,8,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[7,1,5,2,6,8,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,7,4,6,5,8,3,2] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[7,1,5,4,6,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[7,3,4,5,8,1,2,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,3,4,5,8,6,2,7] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,3,4,5,8,2,7,6] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[7,1,5,4,6,8,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[6,3,4,5,8,1,2,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[8,10,7,9,5,6,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,6,8,5,7,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,6,9,5,7,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,6,9,5,8,3,4,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,7,8,4,6,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,7,9,4,6,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,6,8,4,7,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,6,9,4,7,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,6,9,4,8,3,5,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,5,8,4,7,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,5,9,4,7,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,5,9,4,8,3,6,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[6,10,5,9,4,8,3,7,1,2] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,7,8,5,6,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,7,9,5,6,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,6,8,5,7,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,6,9,5,7,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,6,9,5,8,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,7,8,4,6,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,7,9,4,6,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,6,8,4,7,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,6,9,4,7,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,6,9,4,8,2,5,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,5,8,4,7,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,5,9,4,7,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,5,9,4,8,2,6,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[6,10,5,9,4,8,2,7,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,7,8,3,6,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,7,9,3,6,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,6,8,3,7,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,6,9,3,7,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,6,9,3,8,2,5,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,5,8,3,7,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,5,9,3,7,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,5,9,3,8,2,6,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[6,10,5,9,3,8,2,7,1,4] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[9,10,4,8,3,7,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,10,4,9,3,7,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[7,10,4,9,3,8,2,6,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[6,10,4,9,3,8,2,7,1,5] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[10,12,9,11,7,8,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,7,9,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,7,9,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,7,10,5,6,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,6,8,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,6,8,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,6,9,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,6,9,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,6,10,5,7,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,6,9,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,6,9,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,6,10,5,8,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,6,10,5,9,3,4,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,7,8,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,7,8,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,7,9,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,7,9,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,7,10,4,6,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,6,8,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,6,8,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,6,9,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,6,9,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,6,10,4,7,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,6,9,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,6,9,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,6,10,4,8,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,6,10,4,9,3,5,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,5,8,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,5,8,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,5,9,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,5,9,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,5,10,4,7,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,5,9,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,5,9,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,5,10,4,8,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,5,10,4,9,3,6,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,6,10,5,9,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,6,11,5,9,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,6,11,5,10,4,8,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,6,11,5,10,4,9,3,7,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[7,12,6,11,5,10,4,9,3,8,1,2] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,7,8,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,7,8,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,7,9,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,7,9,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,7,10,5,6,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,6,8,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,6,8,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,6,9,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,6,9,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,6,10,5,7,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,6,9,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,6,9,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,6,10,5,8,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,6,10,5,9,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,7,8,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,7,8,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,7,9,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,7,9,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,7,10,4,6,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,6,8,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,6,8,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,6,9,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,6,9,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,6,10,4,7,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,6,9,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,6,9,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,6,10,4,8,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,6,10,4,9,2,5,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,5,8,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,5,8,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,5,9,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,5,9,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,5,10,4,7,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,5,9,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,5,9,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,5,10,4,8,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,5,10,4,9,2,6,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,6,10,5,9,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,6,11,5,9,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,6,11,5,10,4,8,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,6,11,5,10,4,9,2,7,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[7,12,6,11,5,10,4,9,2,8,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,7,8,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,7,8,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,7,9,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,7,9,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,7,10,3,6,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,6,8,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,6,8,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,6,9,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,6,9,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,6,10,3,7,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,6,9,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,6,9,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,6,10,3,8,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,6,10,3,9,2,5,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,5,8,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,5,8,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,5,9,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,5,9,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,5,10,3,7,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,5,9,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,5,9,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,5,10,3,8,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,5,10,3,9,2,6,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,6,10,5,9,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,6,11,5,9,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,6,11,5,10,3,8,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,6,11,5,10,3,9,2,7,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[7,12,6,11,5,10,3,9,2,8,1,4] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,9,10,4,8,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,9,11,4,8,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,8,10,4,9,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,8,11,4,9,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,8,11,4,10,3,7,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,7,10,4,9,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,7,11,4,9,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,7,11,4,10,3,8,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,7,11,4,10,3,9,2,6,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,6,10,4,9,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,6,11,4,9,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,6,11,4,10,3,8,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,6,11,4,10,3,9,2,7,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[7,12,6,11,4,10,3,9,2,8,1,5] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[11,12,5,10,4,9,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[10,12,5,11,4,9,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[9,12,5,11,4,10,3,8,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,12,5,11,4,10,3,9,2,7,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[7,12,5,11,4,10,3,9,2,8,1,6] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[6,12,5,11,4,10,3,9,2,8,1,7] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[2,1,8,6,3,5,4,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,1,7,3,5,8,6,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,1,8,6,3,5,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,1,7,3,6,8,4,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,1,6,8,3,7,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,8,3,5,7,4,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,1,7,3,6,4,5,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,1,6,3,5,8,4,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,1,8,3,6,4,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,1,8,3,7,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,1,8,3,6,7,4,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,6,8,3,7,2,4,5] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,2,6,8,4,7,3,5] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[6,1,5,8,2,4,7,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,2,4,8,3,6,7,5] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,1,2,7,8,3,6,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,8,1,2,3,7,6,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,2,8,4,3,5,7,6] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,2,5,3,7,6,4,8] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[6,1,2,8,7,4,5,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[7,1,6,2,8,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,2,6,3,8,5,4,7] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,8,5,3,6,4,7] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,7,3,8,5,4,6] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[4,1,2,7,8,6,3,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,6,2,8,4,3,5,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,6,4,2,7,3,5,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,8,6,3,2,4,5,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,7,3,2,8,4,5,6] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[3,1,7,8,6,2,4,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,8,7,2,4,5,6,3] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[1,8,7,3,5,6,2,4] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,3,2,8,7,4,5,6] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,8,3,2,6,4,5,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,6,3,2,4,5,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,2,8,4,3,7,5,6] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[6,1,8,2,7,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,2,5,3,8,6,4,7] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,7,5,3,6,4,8] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,6,3,7,5,4,8] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,3,7,5,4,8,6] => [.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,8,2,7,6,4,5,3] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[2,8,7,6,5,1,4,3] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[7,1,6,3,2,5,4,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,8,4,3,6,5,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,8,4,6,5,3,2,7] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,8,6,3,4,5,2,7] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,8,6,7,4,2,5,3] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[3,1,7,2,4,6,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[3,6,7,4,1,5,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,1,2,8,6,5,4,7] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[5,6,8,7,4,3,1,2] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 5
[1,8,2,7,4,3,6,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[3,1,2,8,6,4,7,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,6,3,5,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,8,5,3,2,7,6,4] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,8,4,5,2,6,7,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[4,1,2,7,6,5,8,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[1,8,4,3,6,2,7,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[3,4,7,8,1,2,6,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[3,1,6,4,8,2,5,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,8,5,2,4,6,3,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,8,4,2,3,5,7,6] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[7,1,5,4,8,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[3,5,7,8,2,1,4,6] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[4,5,7,8,3,1,2,6] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[4,5,7,8,2,1,3,6] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[2,6,7,8,1,3,5,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,6,7,8,1,2,5,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,5,7,8,2,1,6,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,5,7,8,2,1,6,4] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[3,6,7,8,1,2,5,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,4,5,6,7,8,1,3,9] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,7,1,3,5,4,8,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,3,4,8,2,7,5,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,1,4,8,2,6,7,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,8,2,3,5,7,4,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[2,6,1,3,5,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,6,2,7,4,8,3,5] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[2,7,8,4,1,5,6,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[7,2,3,4,8,1,5,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[7,2,3,5,8,1,4,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[7,6,5,1,4,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,6,5,1,3,2,8,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,5,8,4,1,6,7,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[7,6,5,1,8,2,4,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[2,5,6,4,1,7,8,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[7,6,5,1,4,8,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[4,1,7,6,2,8,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[7,2,5,6,8,1,3,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[6,1,3,4,2,8,7,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[7,1,3,8,6,4,5,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[7,4,2,1,8,6,5,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,1,4,3,8,5,2,7] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[8,1,3,2,5,6,7,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,1,4,8,7,5,3,6] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[2,1,6,8,3,7,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[5,1,8,2,6,4,3,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,1,5,8,3,6,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[7,6,4,8,3,1,5,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[3,7,2,5,6,4,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,6,8,5,2,7,4,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,1,8,5,6,3,2,7] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,8,2,5,6,4,3,7] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[6,1,8,5,3,7,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,5,2,4,6,7,8,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[4,1,5,3,6,7,8,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[8,1,6,5,3,7,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[7,1,4,6,3,2,8,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,5,3,2,6,7,8,4] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[1,7,4,6,2,3,8,5] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[5,7,4,6,1,3,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,7,4,2,3,6,8,5] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,8,2,5,3,7,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[7,6,4,1,5,2,8,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,5,4,1,3,2,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,1,4,3,5,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,3,5,4,7,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[5,1,3,4,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[2,6,1,3,8,7,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[4,1,8,7,3,2,6,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[4,1,7,2,8,6,5,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[3,6,8,5,1,4,7,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[8,7,5,3,2,1,6,4] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[5,1,7,6,3,8,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[5,1,7,6,4,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[5,1,8,7,6,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[8,5,2,1,7,6,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[8,5,2,1,6,3,7,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[5,1,8,6,3,2,7,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[8,6,5,4,2,1,7,3] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[7,5,8,4,6,3,2,1] => [[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => 7
[8,1,3,4,5,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,6,8,4,2,5,3,7] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[6,1,4,8,5,3,7,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,4,8,5,2,6,7,3] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[6,1,8,4,3,7,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[4,1,5,3,6,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[6,1,8,5,3,2,7,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[7,1,4,6,3,8,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,5,2,1,8,7,6,4] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,5,3,2,8,6,4,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[5,4,2,1,7,8,6,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[1,7,3,6,2,8,5,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[8,1,3,2,4,5,6,7] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,8,1,5,6,4,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[8,1,4,3,5,6,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[7,1,3,5,4,6,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[5,1,3,4,6,2,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,1,3,2,5,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,5,7,2,3,6,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[4,5,2,7,1,6,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,6,3,1,7,8,5,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[4,1,6,2,7,8,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,1,3,4,8,7,5,6] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,5,6,7,8,9,1,2,3] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,5,6,7,8,9,2,3,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[6,1,8,7,5,4,3,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[3,1,8,7,6,5,4,2] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 3
[7,8,4,1,6,5,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[7,8,3,1,6,5,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[7,8,2,1,6,5,4,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,5,3,1,8,7,4,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,4,3,1,8,7,5,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[5,4,3,1,8,7,6,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[7,5,2,1,8,6,4,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[5,4,2,1,8,7,6,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[7,3,2,1,8,6,5,4] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,3,2,1,8,7,5,4] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[6,1,4,2,3,5,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[6,8,1,4,2,3,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[8,1,4,2,3,6,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,1,8,2,3,6,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,6,4,2,7,5,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,4,7,2,5,6,8,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,6,5,4,2,7,8,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[7,1,5,3,6,2,8,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,6,5,2,4,8,7,3] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[1,4,6,2,8,5,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[6,1,3,5,8,2,7,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[6,1,8,7,4,2,3,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,2,8,5,7,3,6,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,3,6,8,7,5,2,4] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,8,2,5,4,7,6,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[7,1,2,4,5,8,6,3] => [[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 3
[1,2,7,3,5,8,6,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[6,1,3,2,5,7,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,6,3,7,8,5,2,4] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[4,2,1,3,5,7,8,6] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[6,5,3,8,4,2,1,7] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,8,6,7,5,3,4,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[1,5,8,7,2,6,4,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,1,3,6,5,8,7,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,6,3,5,8,7,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,4,1,3,8,5,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,4,1,3,5,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[2,6,1,3,5,8,7,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[6,1,4,3,5,8,7,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[6,1,4,3,8,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,6,4,3,8,5,7,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[8,1,4,3,6,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[8,1,4,6,3,5,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,8,4,6,3,5,7,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,6,4,8,3,5,7,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[4,1,6,8,3,5,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,4,6,3,8,5,7,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[2,1,6,8,3,5,7,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,1,3,6,8,5,7,2] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,4,3,6,8,5,7,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[4,1,3,8,6,5,7,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[2,1,8,3,6,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[2,1,6,4,3,5,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,6,1,4,3,5,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,4,8,3,6,5,7,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[1,4,8,6,3,5,7,2] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[4,1,8,6,3,5,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[2,6,4,1,3,5,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[6,1,8,4,3,5,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,6,8,4,3,5,7,2] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[1,8,6,4,3,5,7,2] => [.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 2
[8,1,6,4,3,5,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[7,8,6,5,2,1,4,3] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[5,7,4,1,8,6,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[5,8,1,4,6,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,8,4,1,7,2,5,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,6,4,1,8,7,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[6,8,1,4,5,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,7,1,4,5,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[5,7,1,4,6,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,7,3,1,4,2,8,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[3,4,1,2,7,6,5,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,4,1,2,6,8,7,5] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[6,8,3,1,4,2,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,5,8,7,3,4,2,1] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 6
[5,8,1,4,7,3,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,4,1,2,8,5,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,4,1,2,5,8,7,6] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[9,8,7,6,5,4,2,1,3] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9
[9,8,7,6,5,3,2,1,4] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9
[9,8,7,6,4,3,2,1,5] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9
[8,7,4,6,3,2,1,5] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[9,8,7,5,4,3,2,1,6] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9
[8,5,7,4,3,2,1,6] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[9,8,6,5,4,3,2,1,7] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9
[9,7,6,5,4,3,2,1,8] => [[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 9
[10,9,8,7,6,5,4,2,1,3] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[10,9,8,7,6,5,3,2,1,4] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[10,9,8,7,6,4,3,2,1,5] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[10,9,8,7,5,4,3,2,1,6] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[8,5,4,7,3,2,1,6] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[8,7,3,6,5,2,1,4] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[10,9,8,6,5,4,3,2,1,7] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[6,5,8,4,3,2,1,7] => [[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => 7
[8,4,7,6,3,2,1,5] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[9,6,8,5,4,3,2,1,7] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8
[10,9,7,6,5,4,3,2,1,8] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[5,8,7,4,3,2,1,6] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6
[10,8,7,6,5,4,3,2,1,9] => [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => 10
[4,1,7,2,5,8,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[7,8,2,1,5,6,4,3] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,6,2,5,8,4,3,7] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[7,6,4,8,3,2,1,5] => [[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => 7
[8,6,4,7,3,2,5,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[1,8,4,6,3,5,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,8,7,6,3,2,5,4] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,8,7,6,3,2,4,5] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,8,4,5,2,7,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,4,5,2,7,6,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,8,4,3,6,2,5,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,8,4,5,2,6,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,8,5,3,2,1,6] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[1,8,4,5,2,3,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,5,7,4,6,3,2,8] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[5,1,4,6,8,3,2,7] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[5,1,8,4,6,3,2,7] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[8,1,6,4,5,3,2,7] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[8,1,3,5,4,6,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[8,1,6,2,4,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,7,6,2,4,3,5,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[8,2,6,3,4,5,7,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,7,6,3,4,5,2,8] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,7,2,5,4,3,6,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[8,1,6,3,4,5,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,1,2,5,4,3,6,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[5,1,8,6,2,3,4,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,8,2,6,3,4,7,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[8,1,3,6,4,7,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,3,6,4,8,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,3,7,2,5,8,4,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,2,3,5,8,4,6] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[8,1,2,3,5,7,4,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[7,1,2,3,5,8,4,6] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[6,1,2,8,3,4,7,5] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,2,8,3,5,7,4,6] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,8,3,2,5,7,4,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[6,1,7,3,4,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,7,4,2,8,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,6,4,2,3,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,1,7,5,4,2,8,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,1,8,5,4,6,3,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[4,1,8,5,2,3,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,5,3,8,4,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,3,2,8,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,2,8,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,7,1,2,6,3,8,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[7,1,6,4,5,8,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[7,1,5,8,4,3,6,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[7,1,2,5,8,3,4,6] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,4,5,6,8,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[7,1,5,6,4,8,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[7,1,6,5,4,8,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[3,1,4,5,2,8,7,6] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,6,4,5,2,8,7,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,7,4,2,6,3,5,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[8,7,4,5,2,1,6,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[1,7,4,8,6,3,2,5] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,8,3,5,6,7,2,4] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[4,1,3,5,6,7,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,5,8,4,6,7,3,2] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[1,4,8,3,6,7,5,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[1,8,2,5,6,7,4,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[8,1,3,5,6,7,4,2] => [[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 3
[7,1,4,3,6,2,5,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,5,4,8,6,2,1,3] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[7,1,4,8,6,2,3,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,6,4,5,8,2,3,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,7,6,5,8,3,4,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[1,8,5,3,6,7,4,2] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[4,1,8,5,6,7,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,2,8,5,6,7,3,4] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,5,3,8,6,7,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[1,4,5,8,6,7,3,2] => [.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 2
[1,4,8,5,6,7,2,3] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[8,7,6,1,3,2,5,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[10,3,1,2,4,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[10,4,1,2,3,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[10,6,1,2,3,4,5,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[10,7,1,2,3,4,5,6,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[3,6,7,5,2,4,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[7,1,6,8,4,5,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[7,1,5,6,4,2,3,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[8,1,5,7,4,6,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,8,4,6,7,5,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[6,1,8,4,7,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[8,1,4,5,6,7,3,2] => [[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 3
[5,1,8,4,2,6,3,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,8,4,6,2,5,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[6,1,5,2,3,4,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[3,1,8,2,5,6,4,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,5,1,2,8,4,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,8,7,2,3,6,5,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,7,8,2,6,4,3,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,3,8,2,6,4,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,7,3,6,4,5,8] => [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,1,5,8,3,2,4,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,6,2,8,4,3,7,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,3,8,7,2,4,6,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,8,3,7,2,5,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[8,1,4,7,3,2,5,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[7,1,4,2,3,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[2,1,3,8,4,6,7,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,2,3,4,8,5,7,6] => [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,1,8,5,2,7,6,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,8,7,2,6,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,1,7,2,3,6,5,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,1,7,8,2,5,6,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,1,6,5,8,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,8,3,6,1,4,5,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,5,1,2,3,4,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[5,7,1,2,3,6,4,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[4,1,2,5,3,8,7,6] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[3,1,4,8,7,5,2,6] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[6,5,1,2,3,7,8,4] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[6,5,1,2,3,4,8,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,4,6,3,7,2,5,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,8,3,4,2,7,5,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[5,1,4,3,7,2,6,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,1,3,5,7,2,4,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,1,4,7,5,3,6,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,3,6,2,5,4,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,3,6,2,4,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,1,8,3,7,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,8,2,5,6,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,1,5,8,2,7,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[4,5,2,8,1,6,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,3,8,2,5,7,4,6] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,8,6,2,7,3,5] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[2,7,1,3,5,6,4,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,8,1,3,4,6,7,5] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[7,8,1,2,5,3,6,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,2,6,7,5,3,8,4] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,7,5,3,2,8,4,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,6,7,5,3,8,4,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[1,6,5,7,2,3,8,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,8,2,6,5,7,4] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,2,5,7,6,3,4,8] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,4,8,2,5,7,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,5,7,6,2,3,4,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,5,3,8,2,6,4,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,8,3,2,5,7,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,4,8,3,5,7,6,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[1,2,4,8,3,5,7,6] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,8,4,2,6,7,5] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,4,8,2,3,5,7,6] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,7,5,2,8,4,6,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[6,1,4,8,3,2,7,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[3,4,6,8,2,1,5,7] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[3,1,2,8,5,6,4,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,5,6,8,3,4,2,7] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[7,1,3,5,4,8,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,4,5,7,3,8,6,2] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[1,5,3,6,7,8,4,2] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[3,2,5,6,7,8,1,4] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[7,1,8,3,4,2,5,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,7,4,8,5,2,6,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,7,8,5,2,6,4] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,6,4,7,8,2,5,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,1,2,7,8,4,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,6,7,4,8,5,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[1,8,4,5,3,6,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,8,5,3,4,7,2,6] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,8,2,4,6,3,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,8,2,5,4,6,7,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,4,7,5,2,6,8,3] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[5,2,3,4,8,1,6,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,5,7,4,2,8,6,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,3,7,2,8,6,4,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,3,7,8,6,2,5] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[1,5,3,6,8,2,7,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[4,2,3,5,6,8,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[2,1,8,6,4,7,5,3] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[7,1,6,3,5,8,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,6,3,5,2,4,8,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,8,4,6,7,3,5,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[8,1,6,3,4,5,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[8,1,2,4,6,7,3,5] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[3,1,8,2,4,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[8,1,3,7,6,2,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[4,1,6,8,2,3,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,5,1,2,8,3,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[4,1,2,5,8,3,7,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,4,2,3,8,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,2,3,4,8,7,6] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[8,1,2,3,4,6,5,7] => [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,5,6,7,3,4,8,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[8,1,3,7,6,4,2,5] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[3,8,6,5,2,1,7,4] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[6,8,3,4,1,5,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,1,7,6,2,8,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,8,2,5,7,4,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,3,7,5,8,6,4,2] => [.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2
[5,7,8,4,3,1,6,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[1,6,5,3,8,4,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,8,3,2,4,7,5,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[8,2,1,3,4,5,7,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[3,1,8,6,5,4,2,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[3,8,1,5,7,4,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,8,5,7,3,1,6,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,5,4,8,3,7,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[3,1,2,7,5,6,8,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[3,6,1,2,7,5,8,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[5,6,1,2,8,7,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[7,8,5,1,6,2,4,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,5,4,8,3,2,7,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[4,5,1,2,7,6,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,3,8,4,5,7,2,6] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[2,6,7,4,5,3,1,8] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,3,7,4,2,8,5,6] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[2,8,1,3,6,5,4,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,7,1,2,4,6,5,8] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,7,2,3,5,6,8,4] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[3,8,2,4,5,6,7,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[3,8,2,4,1,6,7,5] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,8,1,2,4,6,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[5,1,7,2,4,6,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[5,7,6,4,3,1,8,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,8,6,5,4,2,3,7] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,8,7,2,3,5,4,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,8,7,2,5,3,4,6] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[7,1,2,8,3,5,6,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[6,1,7,8,2,5,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[7,1,4,5,8,6,2,3] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[4,1,3,7,8,6,2,5] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[5,1,4,3,6,8,7,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[5,1,6,8,4,2,7,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[7,1,8,3,4,2,6,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,4,8,2,5,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[8,1,7,2,4,5,3,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[8,1,3,6,2,5,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,3,5,4,2,6,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[8,1,5,3,4,2,6,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,5,6,2,3,7,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[8,1,4,5,3,2,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[8,1,4,3,5,2,6,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,7,1,2,8,3,5,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[6,7,1,2,5,4,3,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[6,1,7,5,3,8,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[8,6,7,5,3,1,4,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[8,1,5,7,2,6,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[8,1,7,2,5,6,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[7,1,2,8,5,6,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,7,8,5,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[7,1,3,5,8,6,2,4] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[5,1,3,4,6,8,7,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[5,1,8,6,3,4,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[6,1,8,3,5,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,8,2,3,1,6,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,1,7,6,3,8,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,4,8,7,6,3,5] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[8,1,3,5,7,4,6,2] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[5,1,3,8,6,7,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[8,1,6,3,5,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,3,7,5,2,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,1,4,8,7,5,6,3] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[7,1,5,8,2,6,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[5,1,8,2,6,7,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[8,2,3,4,6,7,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,6,4,3,2,8,7,5] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,5,3,2,8,4,7,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[6,1,2,7,3,8,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,4,3,8,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,4,3,8,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,3,2,8,7,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,8,4,2,7,6,5,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,8,3,7,2,6,5,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,1,4,8,3,7,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,1,6,8,5,4,7,3] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[6,1,5,7,8,2,4,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,5,4,8,3,2,7,6] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,2,6,3,8,5,7,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,5,2,6,8,4,7,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,6,4,8,7,5,3,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[4,7,1,2,5,8,6,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[5,8,2,1,7,3,6,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,8,7,6,2,5,4] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[5,4,1,8,7,3,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[4,7,1,2,8,6,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[7,1,5,8,6,4,3,2] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3
[5,1,8,7,3,6,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[4,1,8,7,6,2,5,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[3,1,8,7,6,5,2,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,6,4,5,2,3,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,7,4,5,2,3,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,7,3,5,2,4,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,6,3,5,2,4,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,6,3,4,2,5,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,7,3,4,2,5,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,8,6,7,3,4,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,8,5,7,3,4,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,7,3,4,2,6,5,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,2,8,4,7,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,4,2,8,5,7,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,7,3,5,2,6,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,4,7,3,5,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,7,3,6,2,5,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,3,6,2,4,5,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,7,4,6,2,3,5,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,8,5,6,2,3,4,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,8,5,6,2,4,3,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,3,2,8,5,6,4,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,4,2,8,5,6,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,5,2,8,4,6,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,6,2,8,4,5,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[8,1,2,4,5,3,6,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,6,4,7,2,8,3,5] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,7,3,5,8,2,6] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,7,5,3,4,8,2,6] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,7,6,4,8,2,3,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[6,1,3,7,4,8,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[4,1,7,3,5,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,6,4,8,2,3,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,8,5,7,2,3,4,6] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[6,1,5,8,2,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,1,7,3,8,2,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,1,5,7,8,2,3,4] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,7,6,1,2,4,5,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[4,7,6,1,2,3,5,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,6,5,8,2,3,4,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,5,7,4,8,2,3,6] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,2,8,6,3,4,5] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,4,8,7,2,3,5,6] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,5,8,7,2,3,4,6] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,1,5,8,6,2,3,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[6,1,8,2,7,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,1,8,7,2,3,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[5,1,8,7,2,3,4,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,8,7,6,4,5,3,2] => [.,[[[[[[.,.],.],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,8,7,3,6,5,4,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[7,1,5,8,3,4,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[7,1,4,3,2,5,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,4,6,5,2,3,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,4,6,5,8,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,4,6,3,8,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[7,1,4,3,2,5,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[7,1,4,6,5,2,8,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,1,4,6,5,3,8,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[7,1,4,6,5,3,2,8] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[7,4,3,8,5,2,1,6] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[3,2,1,8,7,5,4,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[3,2,1,8,6,5,4,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[3,2,1,8,7,6,4,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[6,7,2,1,8,3,5,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,8,5,6,4,3,7] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[2,1,7,8,6,4,3,5] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[2,1,6,4,3,7,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,3,7,5,2,1,8] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,5,3,7,4,2,8,6] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,6,7,3,4,2,8,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,6,3,4,2,8,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,8,6,3,2,5,7,4] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[4,1,3,7,5,2,8,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[5,1,7,3,4,2,8,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,1,6,3,2,5,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,2,7,4,3,6,8,5] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[6,1,8,2,4,5,7,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[5,1,8,3,2,6,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[4,8,2,7,1,5,6,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,7,8,2,4,5,6,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,6,8,3,2,5,7,4] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,5,3,8,2,6,7,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,3,2,4,7,8,6] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[4,6,2,1,5,3,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,7,1,2,4,5,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,8,2,3,5,6,7,4] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[7,8,1,2,4,5,6,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[4,1,3,2,5,7,8,6] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[5,1,2,4,3,7,8,6] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,4,7,6,3,2,5,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[4,1,8,7,3,2,5,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[3,4,2,7,1,6,8,5] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,1,7,8,4,2,5,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,3,6,4,7,2,5,8] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,2,6,4,7,5,8,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[3,1,7,5,4,2,6,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,6,2,5,4,7,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,8,2,5,6,3,7,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,6,4,8,5,7,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[4,8,1,5,2,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,8,6,4,3,2,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[5,1,6,3,8,7,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,2,5,8,3,7,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[6,1,8,7,4,3,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[7,1,2,5,4,8,6,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,2,7,5,8,3,6,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,1,6,3,7,5,2,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,3,6,7,8,5,2,4] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,2,6,4,7,8,5,3] => [.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 2
[4,1,6,3,7,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,1,6,4,8,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,6,3,8,7,2,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,5,1,8,4,3,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[6,5,1,7,4,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[4,1,8,5,2,3,7,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[4,1,6,8,3,7,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,3,5,7,4,6,8,2] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,3,5,4,7,2,6,8] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,3,5,4,7,8,2,6] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,3,5,4,7,2,8,6] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,3,5,7,4,8,2,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,3,5,7,4,8,6,2] => [.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 2
[1,3,5,7,8,4,2,6] => [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,6,3,2,7,4,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,7,2,5,4,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,7,5,2,4,8,6] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[3,5,2,7,8,4,1,6] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,5,7,4,8,3,2,6] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[1,5,7,2,4,8,6,3] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,4,7,3,8,6,2,5] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[5,1,6,8,2,4,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,2,4,6,8,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[8,1,5,7,3,2,4,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,1,7,4,2,8,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[8,1,6,4,2,3,7,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[4,7,8,6,2,3,1,5] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[7,1,6,4,2,3,8,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,1,7,6,4,2,8,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[4,1,6,5,3,8,7,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[4,6,1,5,8,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,1,6,5,8,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,4,6,5,8,3,7,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[4,1,6,5,8,7,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[4,1,6,8,5,7,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,4,6,8,5,7,3,2] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[1,4,6,8,5,3,7,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[4,6,3,8,1,5,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,1,3,6,8,7,5,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3
[4,6,3,1,8,7,5,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,6,3,8,7,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,4,6,3,8,7,5,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,1,6,8,3,7,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[6,1,4,8,7,5,3,2] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,6,4,8,7,3,5,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[2,3,4,5,6,8,9,7,1] => [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => 3
[2,6,1,3,7,8,5,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,5,3,2,6,4,7,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,3,2,6,7,4,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,3,2,8,5,4,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,3,2,7,5,4,8,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,6,2,8,5,3,4,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,5,2,6,8,4,3,7] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,5,7,2,8,4,3,6] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,8,2,7,4,3,6] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,2,3,4,8,6,5] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,1,8,2,3,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[7,1,2,3,4,6,8,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[6,1,2,3,4,8,7,5] => [[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,8,2,3,4,7,6,5] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[8,1,2,3,4,6,7,5] => [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 3
[2,8,1,3,5,4,7,6] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,7,8,3,5,4,2,6] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,8,7,3,5,4,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,1,8,2,7,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,7,2,8,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,2,8,5,3,4,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,8,3,5,4,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,7,2,3,4,6,8,5] => [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,6,2,3,4,8,7,5] => [.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[8,1,7,3,5,4,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[5,8,1,2,4,7,6,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,8,7,6,4,2,3,5] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,8,7,6,2,4,3,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,8,7,6,3,4,2,5] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[2,1,7,3,6,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,7,2,6,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,2,8,5,7,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,3,8,5,2,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,3,7,2,6,8,5,4] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,2,7,5,6,3,8,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,8,7,6,2,1,5,4] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[3,8,7,6,4,2,1,5] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 4
[5,1,4,6,8,2,3,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,7,6,3,5,4,8,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,6,8,5,7,3,4,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[4,6,1,2,5,8,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,3,6,5,7,8,2,4] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[2,3,1,6,8,5,7,4] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[7,1,4,2,3,6,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,5,8,3,4,6,7,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[8,1,4,7,2,5,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,5,2,4,1,7,8,6] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,1,2,7,5,3,8,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,7,8,4,6,3,1,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,4,5,7,2,6,8,3] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[8,1,6,3,5,7,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,2,8,7,3,6,5,4] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,5,8,7,3,2,6,4] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,8,7,3,2,1,6] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 5
[1,5,8,3,7,2,6,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,8,4,2,7,5,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,5,8,4,2,7,6,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,5,8,2,3,7,6,4] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,1,8,4,3,7,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,8,4,3,2,7,5] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,6,8,4,3,2,1,7] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 6
[7,1,2,8,6,5,4,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[7,1,4,8,6,2,5,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,1,4,8,3,2,6,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,6,2,8,7,5,4,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,6,4,8,7,2,5,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,1,5,8,7,2,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,4,8,7,2,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,6,4,8,2,7,5,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,4,5,8,2,7,6,3] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,4,8,3,2,7,5] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,4,5,8,3,2,7,6] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[1,6,5,4,8,2,7,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,6,5,3,8,2,7,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,6,3,4,8,2,7,5] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,5,4,8,2,7,6] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[7,1,5,4,2,8,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[7,1,5,2,3,8,6,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[7,1,2,4,3,8,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[7,1,5,4,3,2,8,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[4,7,1,2,8,5,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[4,8,1,2,7,5,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,7,1,3,6,8,4,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[2,7,1,3,6,5,4,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[6,1,4,2,7,5,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,1,9,7,6,5,4,3,2] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[4,8,7,6,5,3,1,2] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 4
[7,8,6,1,5,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[9,1,10,8,7,6,5,4,3,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3
[8,1,7,5,3,2,4,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[8,1,7,4,3,2,6,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[8,1,5,7,3,2,6,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[8,1,6,4,7,2,3,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,8,4,3,6,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[7,3,1,8,6,4,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[5,2,4,6,8,1,3,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[5,1,3,4,6,8,2,7] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[4,6,3,5,1,7,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,5,6,4,1,7,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,1,5,6,7,4,8,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[5,1,6,7,3,4,8,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,6,7,3,4,5,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[3,5,2,6,1,7,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,2,4,6,8,1,3,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[7,1,3,4,6,8,2,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[4,7,1,2,5,6,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,5,4,6,2,7,8,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[5,6,4,7,1,3,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,7,3,4,1,5,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,7,8,5,6,3,4,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[1,7,5,8,6,3,4,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[1,5,7,8,6,3,4,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[1,5,7,8,3,6,4,2] => [.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 2
[7,8,1,5,6,3,4,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[7,1,8,5,6,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[7,1,5,8,6,3,4,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[5,1,7,8,3,6,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,1,7,8,5,6,4,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,3,7,8,5,6,4,2] => [.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 2
[3,1,7,5,8,6,4,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[5,1,7,3,8,6,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[7,1,5,3,8,6,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[7,1,5,8,3,6,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,7,5,3,8,6,4,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[5,7,3,1,8,6,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,7,5,8,3,6,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,7,8,5,3,6,4,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[1,7,8,3,5,6,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[1,7,3,8,5,6,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[1,7,3,5,8,6,4,2] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[1,5,3,7,8,6,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[7,8,3,1,5,6,4,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[7,1,8,3,5,6,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[7,1,3,8,5,6,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[7,1,3,5,8,6,4,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3
[3,1,5,7,8,6,4,2] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3
[6,1,4,3,5,2,8,7] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,2,5,8,3,1,6] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[5,1,4,6,3,2,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,1,8,2,3,4,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[7,1,3,4,6,8,5,2] => [[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,8,4,6,7,3,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[7,4,6,3,2,1,8,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[2,1,7,3,6,8,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[2,1,5,7,8,4,6,3] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[6,1,7,4,3,2,8,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[7,1,4,8,3,5,6,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[6,1,3,8,7,2,5,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,5,6,2,8,7,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,2,4,6,3,8,7,5] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,1,5,2,8,7,6,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,5,3,2,8,7,6] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,5,2,8,7,6,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,6,4,2,8,7,5,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,5,3,6,2,8,7,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,5,8,3,2,7,6,4] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,3,8,2,4,7,6,5] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,5,2,1,7,4,8,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,2,3,8,7,6,4] => [.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,2,8,7,6,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[8,6,4,7,5,3,1,2] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,6,3,7,5,8,4,2] => [.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 2
[1,3,7,4,5,8,6,2] => [.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,6,5,2,8,3,7,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[6,1,3,7,5,8,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[4,1,7,3,6,8,5,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[8,1,6,4,3,7,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[2,1,7,4,8,6,3,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,8,6,3,7,5,4,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[1,8,2,7,3,6,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[2,1,3,8,4,7,5,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[8,1,2,7,4,3,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,3,7,2,8,4,6,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,2,5,8,6,7,3] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,7,5,8,6,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[1,3,8,7,4,6,5,2] => [.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,2,8,7,6,3,5,4] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[8,2,1,7,6,4,3,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[7,1,8,3,6,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[4,1,8,7,5,6,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[2,1,7,8,4,6,3,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,1,6,4,5,8,3,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,6,3,7,5,2,1,4] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,2,3,4,6,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,3,4,6,8,1,7] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[6,8,3,1,5,7,4,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,2,3,4,8,7,5,6] => [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,8,5,3,4,6,7] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,8,4,2,3,5,6,7] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[7,1,8,4,6,5,2,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,6,4,8,5,2,7,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,1,8,5,6,2,3,4] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,1,8,6,2,7,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,8,6,7,5,2,4] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[7,1,8,2,4,6,5,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,6,2,8,4,7,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,3,8,5,7,2,6,4] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,8,3,7,2,5,6,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[7,1,8,2,3,5,6,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,8,7,2,3,6,4,5] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,8,7,2,6,3,4,5] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,8,7,3,6,2,4,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,8,2,7,6,3,4,5] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[8,5,2,1,6,7,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[1,5,2,8,6,7,4,3] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,2,8,6,7,5,3,4] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,8,3,6,7,5,2,4] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[8,1,3,7,5,6,2,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[8,1,4,2,6,7,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,2,8,6,7,3,5,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[8,1,2,7,3,6,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[8,1,7,3,6,2,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,7,2,6,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[8,1,7,2,3,6,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[8,1,3,7,2,5,6,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,8,3,6,7,2,5,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,7,8,2,3,6,5,4] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,1,8,5,7,4,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[4,1,7,6,2,3,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,1,7,6,4,5,2,8] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,1,7,5,8,4,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[3,1,6,8,7,5,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[8,7,4,6,3,2,5,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[5,7,1,4,2,3,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,8,1,3,2,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[9,6,7,5,4,3,2,1,8] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8
[1,7,4,8,6,2,3,5] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[8,1,3,6,7,2,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[8,1,4,2,7,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,7,5,2,8,6,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,8,4,2,6,3,7] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[3,5,7,4,1,6,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,4,2,6,5,7,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,5,2,6,4,7,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,4,3,6,2,7,5,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,3,6,4,7,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,5,3,6,2,7,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,5,7,2,8,3,6,4] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,1,5,6,8,4,3,7] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,3,7,2,8,5,4,6] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,4,3,6,8,2,7] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[2,1,5,6,8,4,7,3] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[2,1,5,6,8,7,3,4] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,5,7,8,4,2,6,3] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[5,1,6,3,2,7,4,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,1,6,3,7,4,2,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,1,3,7,5,4,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,1,6,2,7,4,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,6,4,2,7,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,6,2,5,4,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,1,6,4,3,2,7,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,7,8,2,5,4,3,6] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,5,3,7,8,2,6] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,4,8,2,7,6,3,5] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,6,7,3,5,8,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[8,6,5,1,4,7,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[1,6,3,8,2,7,5,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,7,5,3,8,2,6,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,7,6,4,3,8,2,5] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[5,1,4,3,2,7,8,6] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,7,8,5,2,4,1,6] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,6,8,2,5,7,4,3] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[4,1,7,6,3,2,8,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,5,8,2,7,4,6,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[2,6,8,5,7,4,1,3] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,8,2,7,4,5,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,8,5,6,3,4,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[3,1,6,8,7,4,5,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[6,1,4,8,7,2,5,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,8,4,7,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,5,8,2,7,3,6,4] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,7,4,8,6,2,5,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,1,2,7,4,5,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,6,8,4,7,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,4,5,7,8,2,6,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,4,5,8,7,2,3,6] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,2,5,8,3,6,4,7] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,5,8,6,2,3,7] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,6,7,4,8,2,5,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,5,6,8,2,7,3] => [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,4,5,8,6,2,7,3] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,2,5,8,3,4,7,6] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,6,7,2,3,5,8,4] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[7,8,1,2,3,5,4,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,6,7,2,3,5,4,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,4,5,7,6,2,3,8] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,2,5,7,3,6,4,8] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,7,3,6,8,4] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,6,8,2,3,5,7,4] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,6,8,4,5,2,3,7] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,8,4,5,2,7,3] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,8,2,3,4,7,5] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,8,2,3,7,4,5] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,4,5,7,6,2,8,3] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[7,8,1,2,3,4,6,5] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[7,8,1,2,3,6,4,5] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,6,7,2,3,8,5,4] => [.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,5,6,3,8,7,4] => [.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[6,8,2,1,4,3,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,6,4,8,5,7,3] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[7,1,8,4,3,5,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,7,8,4,3,5,2,6] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[7,1,4,8,3,5,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[7,1,8,4,3,5,6,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[6,7,1,4,8,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,6,7,8,4,3,2,5] => [.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 2
[2,6,7,4,8,3,1,5] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,2,7,8,6,3,4,5] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,7,2,8,4,5,6,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[6,7,1,2,8,5,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,6,7,8,4,2,5,3] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[3,1,2,7,6,5,8,4] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[6,1,2,4,7,3,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,7,5,3,6,4,8,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[5,1,2,6,7,4,8,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,1,5,7,3,2,6,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[4,1,7,8,6,2,3,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,6,5,7,8,3,4,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[1,6,5,8,7,3,4,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,1,8,7,6,2,3,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[6,1,2,3,7,5,4,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,5,7,3,4,8,6,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[1,5,8,3,4,7,6,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[7,1,2,3,5,6,4,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[8,1,2,3,5,6,4,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[8,1,2,3,5,4,7,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[7,1,8,4,6,3,2,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[3,8,1,2,4,5,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,6,4,3,7,5,8,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[3,1,2,6,7,5,8,4] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[8,1,7,4,6,3,2,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[8,1,7,6,5,3,2,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,5,7,3,4,6,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[7,1,2,3,5,4,8,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[6,1,2,3,5,8,4,7] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[6,1,2,3,5,7,4,8] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[5,1,2,3,7,6,4,8] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,1,2,3,8,6,4,7] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,5,6,3,4,7,8,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[8,2,3,4,5,7,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[2,1,7,6,8,5,3,4] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[7,1,3,6,4,8,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[8,2,3,5,7,1,4,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,8,3,2,4,5,7,6] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,5,3,8,7,6,4,2] => [.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 2
[1,2,8,7,5,6,3,4] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[3,1,8,6,7,5,2,4] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,4,8,6,5,7,2,3] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,6,5,4,8,2,3,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[5,1,6,8,3,4,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,2,1,8,7,4,3,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,7,8,5,4,6,3,2] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[1,5,8,4,6,3,7,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[1,8,3,6,5,2,7,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,8,2,4,7,6,5,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[3,8,1,4,6,7,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[8,1,3,4,5,7,6,2] => [[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 3
[6,1,5,2,4,7,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,1,8,5,2,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,8,2,3,7,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[6,7,3,5,1,4,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,7,4,1,6,8,3,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[8,5,4,1,7,6,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,8,2,5,6,3,4,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,7,5,6,2,4,8] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,7,4,3,5,2,8] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[1,8,5,2,3,7,4,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,8,2,5,3,6,7,4] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[7,5,8,3,2,1,6,4] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,6,7,4,3,2,8,5] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,5,2,6,4,7,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,5,4,6,2,3,7,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[6,1,2,8,3,7,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,2,8,5,4,7,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[6,2,5,7,8,1,3,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,5,4,2,6,7,3,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,6,2,7,5,8,4,3] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,3,2,7,8,5,6,4] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,6,2,4,8,7,3,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[5,1,4,2,3,7,8,6] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,5,4,2,6,3,8,7] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[5,1,6,3,8,2,7,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,9,8,7,6,5,3,2,4] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2
[1,8,7,6,2,5,4,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,10,9,8,7,6,5,4,2,3] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[2,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[1,2,9,8,7,6,5,4,3] => [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[1,3,2,9,8,7,6,5,4] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,2,3,4,5,7,6,9,8] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,2,10,9,8,7,6,5,4,3] => [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 2
[5,8,3,4,1,6,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,7,8,4,5,6,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,5,8,4,2,6,7,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,6,3,8,5,2,7,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,7,3,4,8,6,2,5] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[3,4,6,8,2,1,7,5] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[8,1,4,5,3,2,7,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[8,1,4,6,3,7,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[8,1,4,6,3,7,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[8,1,5,6,7,3,4,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[8,1,5,6,7,3,2,4] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,1,3,8,6,7,4,5] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[8,1,3,2,6,7,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[8,1,4,6,2,7,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[3,5,1,6,7,4,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[8,1,5,6,7,4,2,3] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[8,1,5,6,7,4,3,2] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[6,5,8,7,4,3,1,2] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[6,1,4,8,7,5,2,3] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,6,4,8,7,5,2,3] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[1,8,6,2,4,7,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[8,1,6,2,4,7,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[8,1,6,3,4,7,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,8,6,3,4,7,2,5] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,7,2,5,4,8,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[7,1,2,5,4,8,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,2,7,5,4,8,3,6] => [.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[2,5,8,4,7,3,1,6] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[3,1,7,5,4,8,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,3,7,5,4,8,2,6] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,5,8,4,7,3,2,6] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[5,1,8,4,7,3,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[5,8,2,4,7,3,1,6] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[8,7,5,6,2,1,4,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[8,1,5,4,7,3,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,8,5,4,7,3,2,6] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[1,7,3,5,4,8,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[8,6,4,1,7,2,5,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[4,1,3,2,7,8,5,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,4,3,2,7,8,5,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[8,1,7,6,4,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[7,1,8,6,4,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[7,5,8,6,4,2,1,3] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[2,3,5,8,1,4,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,8,7,6,3,1,5,4] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[2,3,6,8,1,4,7,5] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[5,1,8,7,6,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[3,4,8,7,1,2,5,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,1,7,5,3,6,2,8] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,8,4,2,3,6,7,5] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[4,1,7,2,3,6,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[4,5,2,3,1,7,8,6] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,6,2,7,1,4,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,1,2,7,6,8,4,3] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[4,1,8,2,5,7,3,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,7,4,2,6,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,1,7,3,2,4,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,1,5,8,4,7,3,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[6,5,3,1,7,8,4,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[6,4,2,1,7,8,5,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[1,8,6,3,7,4,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,8,6,5,7,2,3,4] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[6,5,3,8,4,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[7,6,3,8,4,2,1,5] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[6,1,5,4,3,2,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[8,1,6,5,7,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[6,1,3,5,2,8,4,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,3,7,4,2,5,6] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[5,7,2,1,6,3,8,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,8,5,6,2,4,7,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[8,1,5,6,2,4,7,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,4,5,2,8,6,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[3,1,2,6,8,4,7,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,3,2,7,8,4,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,5,4,2,7,8,3,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[4,6,7,8,3,1,5,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[5,6,8,4,3,2,7,1] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 6
[2,5,8,3,1,6,7,4] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,8,3,2,6,7,4] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,3,8,6,2,4,7,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[5,1,8,3,4,6,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,4,7,5,6,8,2,3] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,4,7,6,5,8,2,3] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[5,7,3,1,6,8,4,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[4,8,1,2,3,5,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[2,5,1,3,6,8,7,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[3,7,8,4,1,5,6,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,6,1,2,5,8,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,4,5,8,2,3,7,6] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,2,6,4,5,8,3,7] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,5,2,4,6,8,3,7] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,3,7,5,8,2,4,6] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[2,4,1,3,8,6,7,5] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,7,3,5,8,2,6,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,8,4,2,6,7,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[3,1,6,8,7,2,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[3,1,7,6,8,2,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,1,7,2,6,8,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,7,2,3,6,8,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[7,1,2,5,3,6,8,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[8,1,3,2,4,6,7,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[7,3,1,2,4,6,8,5] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,8,3,4,7,2,5,6] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[4,1,3,8,7,2,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,3,7,4,8,2,6,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,6,8,2,3,7,5] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,1,5,8,2,3,7,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,8,3,2,7,5,6,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[3,1,7,2,8,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[5,1,7,8,4,2,6,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,1,8,7,4,2,6,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[4,1,7,8,5,3,6,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[5,1,7,4,8,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[4,1,8,7,5,3,6,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[3,6,8,2,4,5,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[3,6,7,2,4,5,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[5,4,3,1,6,2,8,7] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[2,1,8,7,3,6,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[7,1,6,2,3,8,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[6,1,4,8,5,2,3,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[8,7,4,6,2,1,5,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[2,1,8,6,4,3,7,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,1,7,6,5,3,8,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[3,4,1,7,8,5,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[4,1,3,6,7,5,8,2] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,7,2,4,5,8,3,6] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,7,4,5,8,3,2,6] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[1,2,6,4,7,8,3,5] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[6,1,4,7,8,3,5,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[4,7,2,1,5,3,8,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,3,6,4,7,2,8,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,1,3,4,2,7,8,6] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,6,7,3,8,2,5,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[6,1,4,7,8,5,2,3] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[6,3,2,1,7,8,5,4] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[4,8,1,2,7,3,5,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[6,8,1,2,7,4,5,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[3,7,4,8,5,6,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[7,6,4,8,5,2,1,3] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[2,5,1,3,8,6,7,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[4,5,1,2,8,6,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[6,1,5,7,2,4,8,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,7,2,4,8,6,3,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[3,1,7,2,5,8,4,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[7,8,6,1,3,2,5,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[3,8,1,2,5,7,4,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[4,1,3,8,7,5,6,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[7,1,5,6,3,8,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,1,2,4,7,8,3,6] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[5,1,3,8,4,2,7,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,1,8,4,3,6,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[3,1,6,8,7,4,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,5,8,3,7,4,2,6] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[3,8,2,7,1,5,6,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[2,1,6,5,4,8,3,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,7,8,4,6,5,3] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,1,7,4,3,5,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[6,1,8,2,3,5,4,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,1,3,6,4,2,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[5,1,8,7,4,6,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[6,1,3,4,7,5,8,2] => [[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 3
[7,1,8,3,5,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[7,1,2,4,8,5,6,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[7,1,3,2,4,8,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[7,2,1,3,4,5,8,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[8,7,3,5,4,2,1,6] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,4,6,5,3,2,1,7] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[5,1,6,4,3,2,8,7] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[6,7,2,1,5,8,4,3] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[9,1,8,7,6,5,4,3,2] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[3,1,9,8,7,6,5,4,2] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 3
[10,1,9,8,7,6,5,4,3,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3
[3,1,10,9,8,7,6,5,4,2] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => 3
[1,6,4,8,3,2,5,7] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,8,3,5,6,2,4,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,4,8,5,6,2,3,7] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,2,8,5,3,7,4,6] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[6,1,4,8,2,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,8,2,5,4,7,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,7,4,2,5,3,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[7,1,3,2,8,4,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[2,1,7,4,8,3,5,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,8,3,1,4,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[3,1,8,5,4,7,6,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[4,1,5,8,3,7,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,5,3,8,7,6,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[4,5,2,1,8,7,6,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,6,7,8,3,4,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[4,1,6,8,7,3,5,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[3,1,8,6,7,5,4,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[4,1,6,8,7,5,3,2] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3
[5,1,6,7,4,8,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[5,6,8,7,4,2,1,3] => [[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => 5
[1,4,8,6,3,2,5,7] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[7,6,3,1,5,8,4,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[4,1,5,8,6,3,2,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[8,5,4,1,3,2,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,4,2,3,6,8,7,5] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[8,1,6,7,2,5,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,1,7,6,5,8,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,2,7,5,6,8,3,4] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[6,1,4,7,2,8,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,8,6,5,3,7,2,4] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,6,3,5,7,2,8,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,5,4,6,7,8,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[3,6,4,5,2,1,8,7] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,7,8,3,5,6,2,4] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[3,1,7,8,5,2,6,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,3,7,5,8,2,6,4] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,1,7,5,8,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,3,7,8,4,2,6] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[2,1,5,8,4,3,6,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[4,1,3,8,2,5,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,1,8,3,7,2,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[5,1,8,4,6,2,3,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,5,4,8,3,6,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,1,8,4,2,5,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,3,8,4,1,5,6,7] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,1,4,8,5,3,6,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[4,1,7,5,6,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,7,5,2,8,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,6,7,5,3,8,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[6,1,3,4,8,2,5,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[6,2,3,4,8,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[6,7,4,8,1,3,5,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,5,6,3,4,8,2,7] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,4,3,6,5,8,2,7] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[8,1,3,4,7,2,6,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[5,1,7,3,4,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,8,3,4,7,6,2,5] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[2,1,3,8,4,6,5,7] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,3,2,8,5,4,6,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,5,6,8,7,4,2,3] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2
[1,4,8,5,7,6,2,3] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,1,8,7,5,6,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[4,1,8,6,7,5,2,3] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[5,1,7,8,6,4,2,3] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,4,8,2,6,3,7,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,1,7,5,8,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,2,7,8,5,3,4,6] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[3,1,8,4,5,6,7,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,1,4,8,6,5,3,7] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[4,1,2,8,7,5,3,6] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,4,2,8,7,5,3,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[7,1,6,5,8,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[7,1,2,8,4,5,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,6,5,3,2,4,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,8,7,5,3,2,4,6] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[1,8,7,4,2,5,3,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[7,1,6,4,2,5,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[7,1,5,3,6,4,2,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,3,8,7,4,2,6] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,1,5,3,8,7,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,8,6,3,5,7,4,2] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[8,6,3,7,4,2,1,5] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[5,1,8,6,3,7,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[6,1,8,7,4,2,5,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,8,6,3,2,4,7,5] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[7,5,1,8,6,3,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[6,1,8,7,5,3,2,4] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,7,5,8,6,3,2,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,7,4,2,5,8,6,3] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[5,3,1,8,7,4,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[4,1,8,7,5,3,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[4,1,8,6,3,2,7,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,8,5,2,7,4,6,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[8,6,3,1,5,7,4,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[4,1,7,5,8,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,7,4,6,3,8,5,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[4,1,8,5,7,3,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[5,1,7,4,8,3,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,8,5,4,2,3,7,6] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,8,7,4,2,6,3,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,8,7,5,6,2,3,4] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,8,3,2,7,6,4,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,8,5,7,6,2,3,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,8,6,7,5,2,3,4] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[5,1,6,3,2,8,7,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[8,1,4,2,3,6,7,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,7,6,3,5,8,2,4] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[8,1,5,6,4,7,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,7,4,6,8,2,5,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[3,1,7,4,8,5,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,4,8,5,3,2,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[8,1,2,4,6,7,5,3] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3
[8,1,3,6,7,5,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[3,5,1,6,8,4,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,1,5,7,3,8,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[8,1,5,6,4,7,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[6,1,3,2,4,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[7,1,8,6,2,4,3,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,6,2,7,5,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,2,8,5,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,7,2,3,8,6,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[6,1,8,2,7,5,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,7,4,3,8,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[6,1,7,3,2,8,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,7,2,1,6,3,8,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,5,2,8,4,3,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,5,3,2,8,4,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[7,1,6,3,4,2,8,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,1,3,8,4,2,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,8,3,7,5,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[5,1,8,3,7,4,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,8,4,5,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,1,6,4,5,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,2,7,1,6,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,1,3,7,4,8,5,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,5,2,7,6,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,1,3,7,6,4,8] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,8,5,3,6,4,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,4,8,3,2,5,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[5,4,8,3,2,1,7,6] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[5,7,4,8,1,3,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,1,5,7,3,6,2,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[6,1,2,7,8,3,5,4] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,3,1,8,6,4,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[3,1,8,4,7,5,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,8,6,2,5,3,4] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,8,6,4,3,2,1,7] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6
[8,7,3,6,4,2,1,5] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[4,7,6,5,2,1,8,3] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[1,7,4,2,6,3,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[2,3,4,5,6,7,8,10,9,1] => [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,3,7,4,8,6,2,5] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,1,7,5,8,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,5,6,8,4,7,3,2] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[4,1,3,7,6,5,8,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[8,5,7,4,3,1,6,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[6,8,5,1,7,2,4,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[8,1,7,4,2,3,6,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,8,7,2,3,5,6,4] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[6,3,2,1,8,4,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,2,5,6,7,1,3,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[8,1,4,7,2,5,6,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,2,3,7,4,6,8,5] => [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[2,1,5,3,8,7,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,1,8,2,7,3,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,2,7,5,3,8,4,6] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,3,7,6,8,4,5] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,2,3,6,8,7,4,5] => [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,2,3,7,8,4,6,5] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,6,8,4,7,5] => [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,7,8,6,4,5] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,8,4,3,7,5,6,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,8,5,6,4,7,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[1,8,2,7,4,5,6,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,8,3,5,7,4,6,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[3,7,1,2,5,8,6,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[4,1,7,8,2,3,6,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[5,1,2,8,6,3,4,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[6,1,8,5,2,3,4,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[6,1,7,5,2,3,4,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[6,8,2,7,1,4,5,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,1,8,6,2,3,5,4] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[7,8,1,2,6,5,3,4] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,4,8,2,7,5,3,6] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,8,2,1,6,3,5,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,8,7,5,4,3,6] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[5,1,7,3,6,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,8,3,7,6,4,5,2] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[5,1,2,4,7,6,8,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[4,8,1,2,6,7,3,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,2,4,6,8,7,5] => [[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 3
[4,8,2,1,6,3,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,4,6,7,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,3,4,8,7,5,2,6] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,6,8,4,3,7,2,5] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[3,1,4,7,8,5,2,6] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[6,1,7,4,3,8,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,8,7,4,3,6,2,5] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,7,8,4,2,3,6,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,4,3,6,2,8,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,4,7,3,6,2,8,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,8,3,4,2,6,7,5] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[8,1,4,3,6,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,8,3,4,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,8,6,4,2,3,7,5] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[3,8,6,5,4,2,1,7] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 4
[7,1,4,5,3,2,6,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,8,4,2,6,5,3,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[5,1,4,8,6,3,2,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[7,1,4,2,6,5,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,5,4,8,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[2,1,8,7,5,3,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[6,5,3,7,4,8,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[5,6,3,8,1,4,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,6,3,1,5,2,8,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,6,2,1,5,4,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,5,8,4,3,7,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,1,3,7,2,6,8,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[5,1,7,4,6,8,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[2,1,7,6,4,8,3,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,5,4,8,7,3,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[3,8,5,4,2,1,7,6] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[7,1,5,3,8,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,8,7,4,3,5,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[4,8,1,2,5,3,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[8,1,2,4,3,5,6,7] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,8,7,6,3,5,2,1] => [[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => 5
[6,8,5,4,7,3,2,1] => [[[[[[.,[.,.]],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => 7
[4,8,7,6,3,2,5,1] => [[[[.,[[[.,.],.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => 5
[3,8,7,6,5,2,1,4] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 4
[3,5,7,2,1,4,6,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,5,4,7,2,1,8,6] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[2,1,7,5,8,4,6,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,3,4,5,6,7,1,9,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,1,4,5,6,7,8,9,3] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[8,1,4,6,3,5,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,1,8,2,3,7,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[2,1,8,5,3,4,7,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,6,8,3,4,5,7,2] => [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 2
[6,5,4,8,7,3,1,2] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[7,1,6,3,5,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,5,2,7,8,6,4,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[2,6,8,5,1,4,7,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,4,2,8,6,5,7,3] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[4,1,7,5,2,6,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,4,5,2,6,7,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,5,3,2,4,7,6,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,3,2,7,4,6,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[5,1,3,2,4,7,6,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,1,3,2,7,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[7,1,3,2,5,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,7,3,2,5,4,6,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[7,1,3,5,2,4,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,1,3,7,2,4,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[3,7,5,1,2,4,6,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,5,3,7,2,4,6,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,3,2,7,5,4,6,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,3,7,2,5,4,6,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,3,7,5,2,4,6,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[5,7,1,3,2,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,7,1,5,2,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,7,1,2,5,4,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[3,1,2,7,5,4,6,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,1,7,2,5,4,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,1,7,5,2,4,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,5,3,2,4,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,7,5,3,2,4,6,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,9,2,8,7,6,5,4,3] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,8,7,4,2,6,5,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,8,7,4,3,2,6,5] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,7,2,9,8,6,5,4,3] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,8,5,4,2,7,6,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,7,5,4,8,6,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,5,6,4,8,7,2,3] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,6,4,3,8,5,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,6,4,2,8,5,3,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[7,6,5,8,3,1,4,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[7,1,5,6,3,8,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,5,6,4,8,3,7,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[7,1,3,2,4,8,5,6] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,5,6,8,2,1,7,4] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,5,3,1,7,2,8,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,4,2,6,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[5,1,4,2,3,6,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[5,1,4,3,2,6,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[2,1,4,8,6,3,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,6,7,5,8,2,3,4] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,3,7,2,6,5,8,4] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,3,6,4,2,5,8,7] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,5,4,7,3,6,8,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[1,6,3,7,8,2,4,5] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[3,2,6,7,8,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[5,1,8,3,6,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,5,4,3,7,8,2,6] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[6,3,1,8,7,5,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,8,2,7,6,4,3,5] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,8,2,7,5,3,6,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[7,5,2,1,8,3,6,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,7,4,1,5,2,6,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,6,3,1,4,2,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,3,7,6,5,8,2,4] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[8,6,4,7,5,2,1,3] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,8,2,5,7,6,4,3] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,8,2,6,4,7,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,6,4,7,5,3,8,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[1,4,7,3,5,2,6,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[6,1,3,7,4,2,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,6,8,5,2,4,3,7] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[4,5,6,8,3,1,7,2] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[7,8,1,2,4,3,6,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[6,1,3,4,2,8,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,4,3,5,7,6,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,7,4,3,6,8,2,5] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,8,5,7,4,2,6,3] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[8,1,5,4,7,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,7,6,3,5,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[3,6,8,5,7,4,1,2] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[3,8,7,5,6,4,2,1] => [[[.,[[[[.,.],.],[.,.]],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => 4
[1,8,7,6,5,3,4,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[5,1,8,4,2,7,6,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,7,8,5,4,3,2,6] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[1,2,6,7,8,4,3,5] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[8,1,4,6,7,3,5,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,3,6,7,4,2,8,5] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[8,1,6,7,5,3,2,4] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,7,8,2,6,4,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[8,7,6,1,4,5,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[4,8,1,2,3,7,5,6] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,8,2,3,6,5,4,7] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,8,5,4,6,2,3,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,8,5,4,6,3,2,7] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[1,5,8,4,7,3,6,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[3,6,4,8,7,5,2,1] => [[[.,[[.,.],[[[.,.],.],.]]],.],.] => [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => 4
[1,6,4,3,7,8,5,2] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[7,1,3,4,8,6,5,2] => [[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,4,2,7,8,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,3,8,5,7,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,8,4,7,6,2,3] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[7,1,3,2,5,6,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[7,1,3,8,2,6,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[7,6,1,8,5,4,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[4,1,6,5,8,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,6,5,8,4,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[5,1,6,4,8,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[5,1,6,4,8,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,7,5,2,3,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,1,7,8,6,3,2,5] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,2,6,8,3,7,4,5] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,8,4,3,1,6,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[6,1,2,7,5,8,4,3] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[1,8,3,5,2,6,7,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[6,8,3,5,1,4,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[8,1,3,4,2,6,5,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,3,2,5,6,4,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[8,1,2,4,5,3,7,6] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[3,1,6,8,4,7,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,4,6,7,8,1,5,3] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[7,4,3,8,6,2,1,5] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,4,5,3,2,1,7,6] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[6,7,4,3,2,1,8,5] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[1,5,2,8,4,6,7,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,5,2,7,4,6,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[5,1,2,7,3,6,8,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[5,1,2,8,3,6,7,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[4,1,2,8,3,6,7,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[4,1,2,7,3,6,8,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[7,5,3,8,4,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[8,5,3,7,4,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[5,8,1,2,3,4,7,6] => [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[7,1,2,8,3,6,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,8,2,3,5,7,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[6,1,7,2,3,5,8,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,6,8,2,4,5,7,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,8,2,7,4,6,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[7,1,6,2,3,5,8,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[8,1,6,2,3,5,7,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[8,1,7,2,3,5,6,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,8,7,2,4,5,3,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[8,7,1,2,3,4,6,5] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[8,6,1,2,3,4,7,5] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[8,1,6,2,3,5,4,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,7,6,2,4,5,3,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,8,7,4,6,3,5,2] => [.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[1,8,3,5,7,2,6,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[4,5,1,6,7,3,8,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,7,1,2,3,5,8,4] => [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[3,1,6,7,8,4,2,5] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[3,1,4,8,5,6,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[8,4,1,6,5,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[8,3,1,7,5,4,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[6,1,3,8,7,5,4,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[8,1,3,5,7,6,4,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3
[4,1,8,5,7,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[8,1,7,3,4,6,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,1,7,2,6,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,1,7,5,2,4,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[6,1,8,2,7,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[8,1,7,3,5,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[8,1,5,2,7,6,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[8,1,7,2,4,6,5,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[4,8,2,1,7,6,5,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,8,7,2,6,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,4,8,7,6,3,2] => [[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3
[8,1,4,3,7,6,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[5,8,6,3,2,1,7,4] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[6,7,1,2,5,4,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[6,8,1,2,5,7,4,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[8,1,6,4,2,3,5,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,5,4,8,2,3,7,6] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,7,8,2,3,5,6,4] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,7,4,3,6,8,5,2] => [.,[[[[.,.],.],[[.,[.,.]],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 2
[1,7,6,3,2,8,4,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[4,1,2,8,5,3,6,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,7,6,2,5,8,4,3] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[1,7,6,5,8,4,2,3] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,1,2,6,3,5,4,8] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[6,1,2,5,7,8,4,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[4,1,2,7,8,5,3,6] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[6,1,3,8,5,4,7,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,5,8,6,4,2,3,7] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,6,2,3,5,8,7,4] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[4,7,2,3,1,6,8,5] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,4,6,5,1,2,7,8] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[5,1,8,6,4,7,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[4,1,8,5,6,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[6,7,2,3,1,5,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[8,1,7,5,2,3,4,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[9,2,3,4,5,6,7,8,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[8,2,3,4,5,6,7,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,2,4,6,8,5,7,3] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[2,1,7,5,8,6,3,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,4,5,3,8,2,6,7] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[5,1,8,2,4,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,5,4,8,2,3,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[7,3,4,6,8,1,2,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,5,6,8,3,7,2,4] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[6,1,5,8,3,4,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[8,1,6,3,5,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[7,1,2,5,8,4,6,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,1,7,8,5,4,6,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,6,2,7,4,8,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[5,1,6,8,7,2,3,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,5,7,6,8,2,3,4] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,8,3,2,5,4,7] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,4,7,6,2,8,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,1,5,8,3,2,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[3,1,2,4,8,5,7,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,5,8,4,6,3,1,7] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[7,1,5,4,8,3,2,6] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[6,4,1,7,5,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,7,2,5,3,8,6,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[5,1,8,7,4,3,6,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[8,1,7,4,2,3,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[6,1,8,5,3,7,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[5,1,6,8,3,7,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[8,6,5,1,7,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[5,8,2,6,1,4,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,7,3,4,5,2,8,6] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,7,2,5,4,3,8,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[2,1,5,7,4,3,8,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,1,8,7,5,6,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,5,8,7,4,3,6,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[2,1,7,4,6,8,3,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,7,2,4,6,8,3,5] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,8,6,2,7,3,5,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,7,8,6,2,3,5,4] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[2,1,8,3,5,7,6,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[2,8,1,3,6,7,5,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[8,2,1,3,4,5,6,7,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[3,2,4,5,6,7,8,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[9,2,1,3,4,5,6,7,8,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[8,3,1,2,4,5,6,7,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[4,2,3,5,6,7,8,1,9] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[2,4,7,8,5,3,1,6] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[2,1,4,7,8,5,3,6] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[6,1,4,3,7,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[6,1,2,7,5,8,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,8,7,5,4,6,3] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,8,4,2,5,7,6,3] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[1,8,5,2,4,7,6,3] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[1,4,6,2,8,7,5,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,1,6,8,7,5,3,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,8,2,4,5,7,6,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,2,8,3,5,7,6,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,3,8,2,5,7,6,4] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,6,2,8,7,5,3,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,6,3,8,7,5,2,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,1,8,2,5,7,6,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[3,1,6,8,7,2,5,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,4,5,7,2,3,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[8,1,4,7,6,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,5,8,4,6,2,3,7] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[2,1,6,5,3,8,4,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,6,5,8,7,2,3,4] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[5,1,2,7,6,8,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,7,2,5,8,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,7,6,5,8,2,3,4] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,6,8,5,7,2,3,4] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[6,1,5,2,7,8,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,7,3,2,4,6,8,5] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[3,1,2,7,8,4,6,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[5,1,2,6,8,7,3,4] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,8,6,2,5,7,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[8,1,5,7,6,2,3,4] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,6,8,5,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,5,8,7,6,2,3,4] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,4,8,2,5,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[7,1,8,2,4,6,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[3,1,2,7,6,8,5,4] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[6,1,8,3,5,4,2,7] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,6,4,8,3,5,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,5,4,8,6,3,7,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,1,8,6,5,3,7,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[6,8,1,2,7,4,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,6,1,3,2,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,5,1,3,7,8,6,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[4,6,7,2,1,3,5,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,1,6,4,7,5,2,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[3,1,5,4,7,8,6,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[6,1,4,7,5,3,8,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[6,1,8,4,7,3,2,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[8,6,2,1,5,7,4,3] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[6,1,3,7,5,8,2,4] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[6,1,4,5,8,3,7,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[6,1,8,5,3,4,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[4,1,5,6,8,3,7,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,3,8,5,2,7,4,6] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,3,8,6,7,2,4,5] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,3,8,7,6,2,4,5] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[5,2,6,7,8,1,3,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[4,5,6,8,1,2,7,3] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,4,6,8,7,2,3,5] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,6,5,7,8,2,3,4] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[8,1,2,7,4,5,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,7,4,5,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[8,1,3,7,5,6,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,2,5,3,8,6,7,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[4,1,6,5,7,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[6,1,3,7,4,2,8,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,3,8,2,5,6,7,4] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,8,6,7,2,5,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,7,3,8,5,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,1,6,3,5,2,7,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,1,7,2,5,6,4,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[7,1,5,6,3,2,4,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[7,1,2,5,4,6,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,2,7,5,6,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,2,6,5,4,3,8] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[6,1,4,5,3,2,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,1,6,5,4,2,7,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[3,1,4,6,5,2,7,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[2,1,8,6,3,7,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,8,3,1,7,6,4,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,3,4,2,8,6,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[5,1,7,3,4,6,8,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[5,8,7,4,3,1,6,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[3,1,7,8,2,5,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[2,1,4,8,3,7,5,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,2,7,8,4,3,6,5] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,4,2,6,5,8,7,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,3,2,6,4,8,7,5] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,4,2,5,3,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,5,2,6,4,8,7,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,6,2,5,3,8,7,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,7,3,5,4,8,6,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[1,8,2,6,3,7,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,8,3,6,4,7,5,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[1,7,2,6,4,8,5,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,7,2,6,3,8,5,4] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,5,2,7,4,8,6,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,4,2,8,5,7,6,3] => [.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 2
[1,8,4,7,3,6,5,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[4,8,7,6,5,1,3,2] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[6,8,4,1,5,2,7,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,8,7,6,5,2,1,3] => [[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => 4
[8,6,5,1,7,2,4,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,6,8,3,7,4,2,5] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[5,1,6,3,4,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,1,7,8,6,4,2,5] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[8,1,7,6,4,2,5,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,7,5,8,2,4,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[6,1,5,2,4,8,3,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,5,6,3,8,2,4,7] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,8,7,2,4,6,3] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,4,8,7,3,6,5,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[1,7,8,3,2,6,5,4] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,7,4,8,3,2,6,5] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,7,5,4,8,3,2,6] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,1,5,4,3,8,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,7,4,5,6,8,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,5,6,7,9,8,2] => [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,6,4,2,3,5,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,8,7,2,3,4,5,6] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,5,8,6,2,3,4,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,6,5,7,2,3,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,7,5,6,2,3,4,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,3,2,7,6,4,5,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,2,3,7,6,4,5,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,5,4,2,3,7,6,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,4,2,3,8,6,7] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,3,2,8,6,4,5,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,7,5,8,2,3,4,6] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,8,7,5,2,3,4,6] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[2,1,5,8,6,3,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[5,8,4,6,1,3,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,1,6,3,5,7,8,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[4,6,1,2,5,7,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[4,7,3,1,8,6,5,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,2,8,6,4,5,7,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,8,5,3,4,6,7,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[6,4,1,8,7,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,8,5,4,2,7,3,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[7,1,6,2,3,8,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[5,1,3,8,7,2,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,1,5,2,4,8,3,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,4,5,8,6,3,2,7] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2
[4,5,2,6,7,3,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[8,1,7,5,3,6,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,7,6,8,5,2,4,3] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,6,3,7,1,4,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[11,10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => 12
[1,8,7,6,5,4,3,2,9] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2
[1,9,8,7,6,5,4,3,2,10] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[1,8,4,3,2,6,7,5] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[5,4,3,8,2,1,7,6] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[6,4,8,3,2,1,7,5] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,8,4,3,2,7,6,5] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,8,6,7,3,2,4,5] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,8,4,3,2,7,5,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,8,4,3,2,5,7,6] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[7,2,3,4,5,8,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[2,1,8,6,4,5,7,3] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[4,8,2,5,7,3,1,6] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[8,1,5,2,3,7,6,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[4,1,2,6,5,8,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[4,1,8,3,2,6,7,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,2,7,8,3,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,1,4,5,2,8,7,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,5,4,8,6,3,2,7] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,5,4,8,6,3,1,2] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,8,7,5,3,6,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,7,4,2,6,5,3,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[7,1,4,8,6,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[4,1,8,5,6,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,5,8,3,6,7,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[1,8,2,5,6,7,3,4] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[8,1,4,2,6,5,3,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,3,7,4,8,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[5,1,3,4,7,8,2,6] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[5,1,7,8,3,4,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,8,5,7,2,4,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,5,4,2,3,6,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,3,6,8,5,4,2,7] => [.,[[.,[[[.,[.,.]],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,4,2,7,5,8,3,6] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,8,2,3,6,7,5,4] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[1,3,6,8,2,7,5,4] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,5,4,3,8,2,7] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,8,3,4,5,6,2,7] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,8,3,6,2,4,5,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,4,5,8,3,6,2,7] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,2,7,8,4,5,3,6] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[7,6,3,8,5,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 6
[1,4,7,3,2,6,8,5] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,5,7,3,6,2,8,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,2,5,4,8,3,7,6] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,3,5,8,2,7,6] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,4,3,6,8,7,2,5] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[1,5,3,7,6,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,6,4,5,7,8,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[3,1,8,6,4,7,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,1,6,8,5,4,2,7] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[7,5,4,8,3,2,6,1] => [[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => 7
[4,1,5,8,6,7,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,1,5,8,6,7,4,3] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[3,6,4,7,2,1,8,5] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[5,1,4,6,7,2,8,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,1,6,5,3,7,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,4,7,2,3,8,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,6,2,5,4,8,3,7] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[4,1,2,7,5,8,3,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,1,3,5,8,2,4,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[6,2,3,5,8,1,4,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[4,1,7,5,8,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,6,7,4,3,8,5,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[6,1,7,4,2,8,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,1,6,7,4,3,8,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,2,6,7,4,3,8,5] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[8,2,3,4,7,1,5,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[8,7,3,6,2,1,5,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[8,7,4,6,5,2,1,3] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,6,1,5,4,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,5,6,7,3,8,2,4] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,6,5,4,8,3,2,7] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[1,7,3,5,8,4,6,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[3,1,8,7,6,4,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[3,1,8,7,5,4,2,6] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[3,1,7,6,5,4,2,8] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[8,4,1,7,6,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[5,4,1,8,6,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[5,4,1,7,6,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[6,4,1,8,5,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[8,4,1,7,5,3,2,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[7,4,1,6,5,3,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,8,6,3,4,2,5,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[3,1,6,4,5,8,7,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[3,1,6,4,5,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[7,6,3,8,4,5,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[5,2,3,4,7,1,6,8] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[5,2,3,4,7,8,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,4,7,8,5,2,3,6] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[8,1,2,7,5,4,3,6] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,8,7,5,3,2,6,4] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,7,5,2,6,4,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[7,1,3,6,8,2,4,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,2,5,7,8,4,6,3] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[3,1,2,7,5,4,8,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,7,4,1,3,2,8,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,7,2,8,4,3,5,6] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,6,3,5,7,8,2,4] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,5,3,4,7,8,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[5,1,4,6,7,8,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[4,1,5,3,7,8,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,1,4,6,5,2,7,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,1,5,4,6,3,2,8] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,2,4,7,6,3,8,5] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[8,6,4,1,5,7,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[6,1,5,4,8,3,2,7] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,2,8,7,4,3,6,5] => [.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,6,4,7,8,2,5] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,6,4,3,7,8,2,5] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,5,6,3,7,8,2,4] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,5,2,4,3,8,7,6] => [.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[8,6,5,7,2,1,4,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[1,6,3,8,4,5,7,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[1,4,6,2,7,5,3,8] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,8,5,2,6,3,7] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,8,4,3,6,7,5] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,2,7,5,3,4,6,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,3,2,6,8,4,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,8,4,2,7,6,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[7,1,3,8,6,5,4,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[8,1,3,7,6,5,4,2] => [[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[4,7,5,8,2,1,6,3] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[5,7,4,1,6,2,8,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,1,4,6,8,3,5,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[6,7,1,2,4,8,5,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,6,3,4,7,8,5,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[1,8,2,6,7,3,4,5] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,1,2,6,3,8,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[8,1,2,6,3,7,5,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[8,1,2,7,6,3,5,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,4,3,1,6,2,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[6,1,2,7,4,3,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[5,1,2,6,3,8,7,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[5,1,2,7,3,8,6,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[6,1,2,7,3,5,8,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,5,8,4,7,6,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[5,7,8,4,3,2,1,6] => [[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => 6
[6,4,3,8,5,2,1,7] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,4,3,6,5,2,1,7] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,4,3,7,5,2,1,6] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[6,8,7,4,3,2,1,5] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6
[7,1,6,4,2,8,5,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,8,1,2,4,7,5,3] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[7,1,6,4,8,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[8,1,2,4,5,6,7,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[6,1,4,3,2,7,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,8,3,6,7,2,4,5] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,2,8,3,7,4,6,5] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[4,1,3,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[4,6,8,5,2,7,1,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[3,7,8,5,2,6,1,4] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[6,1,2,4,8,5,3,7] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[9,2,3,4,5,6,7,1,8] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,3,5,8,6,4,7,2] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,3,5,8,6,7,2,4] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[6,1,7,4,8,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[8,6,1,7,5,3,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[5,1,7,6,3,4,2,8] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,2,7,5,3,4,8,6] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,7,8,2,5,3,4,6] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,8,7,3,4,6,5] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[7,1,8,6,4,5,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,6,8,5,3,4,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,2,6,8,5,3,4,7] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[5,1,4,2,6,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,5,8,6,2,4,3,7] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[5,1,8,6,2,4,3,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,2,5,3,6,8,7,4] => [.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,7,2,3,5,8,6,4] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,8,2,3,7,5,6,4] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[1,6,7,8,2,4,3,5] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,1,2,8,5,3,7,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,8,5,6,4,3,2,7] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[4,1,5,7,6,8,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,5,2,7,4,3,6,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[5,7,6,8,2,1,4,3] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,3,6,5,2,7,4,8] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,2,5,6,8,3,4] => [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,7,2,4,8,3,5,6] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,6,2,4,5,3,7,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,2,8,4,5,7,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,6,8,2,4,3,5,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,7,2,5,3,4,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,8,3,6,7,4,5] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,2,5,3,4,8,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[7,1,5,6,2,3,8,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[4,1,3,7,2,5,8,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,7,5,6,2,3,8,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,7,4,3,8,2,5,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[6,1,5,3,4,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,6,7,5,2,8,1,4] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,2,5,4,8,3,6,7] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[7,1,3,8,2,4,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[8,1,3,7,2,4,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,6,4,7,8,2,3,5] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[5,2,3,6,7,8,1,4] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,3,7,8,5,6,2,4] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[8,1,7,4,6,2,3,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,5,8,7,1,2,3,6] => [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => 3
[4,1,8,5,7,2,3,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,8,7,4,6,2,3,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,3,8,7,4,2,6,5] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[8,1,4,5,7,6,3,2] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,8,4,2,3,7,6,5] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[3,1,2,8,7,4,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,3,4,8,7,2,5,6] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[8,1,3,4,6,7,2,5] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[3,1,8,2,7,5,6,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,8,4,7,6,5,2,3] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[8,2,3,4,5,6,9,1,7] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[3,8,1,2,5,6,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,7,1,2,5,6,4,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,8,6,5,2,7,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[7,2,3,4,6,8,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[8,1,6,4,7,5,2,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,4,5,6,8,1,3] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[7,1,3,5,6,2,8,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[7,1,5,8,4,6,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[7,1,4,3,2,8,5,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[5,7,2,1,4,3,8,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,1,8,3,5,2,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,8,4,2,5,6,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[2,1,7,5,8,3,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,5,8,3,7,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[7,4,8,6,5,3,2,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 6
[7,8,3,4,1,5,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,4,8,7,3,2,1,5] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[5,1,6,3,8,2,4,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,1,8,4,7,2,3,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,3,6,5,8,4,2] => [[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[5,1,2,4,6,7,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[2,4,6,8,5,3,1,7] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[6,1,4,7,5,8,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,8,6,5,3,2,7,4] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,6,3,5,8,2,4,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[6,1,2,7,8,4,5,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,1,3,2,7,8,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[8,6,3,1,7,5,4,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[8,4,2,1,7,6,5,3] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,6,4,2,5,3,7,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,8,6,2,7,3,4,5] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,3,2,4,5,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,5,2,6,4,3,7,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,5,2,4,6,3,7,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,8,6,2,3,7,4,5] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,2,8,6,3,4,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,3,6,8,2,7,4,5] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,3,8,2,5,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,7,2,3,8,5,4,6] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,3,8,4,2,5,6,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,6,2,8,5,4,3,7] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,7,2,3,8,6,4,5] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,5,3,8,2,7,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,8,2,5,6,3,7] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,7,3,2,8,4,6] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,7,3,6,8,4,5] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,2,3,6,8,4,5] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,4,8,3,2,5,6,7] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,2,5,8,3,4,6] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[8,2,3,4,5,6,7,9,1] => [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => 4
[1,3,7,5,6,8,4,2] => [.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,3,6,7,4,5,8,2] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,5,6,3,4,2,7,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,3,6,4,2,7,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,5,3,7,4,6,2,8] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,5,7,3,6,4,8,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[8,5,3,6,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[3,6,1,2,4,8,7,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[2,3,1,7,8,5,6,4] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,7,2,1,8,4,6,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,5,4,7,3,6,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,7,3,6,8,4,5,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[1,2,6,4,7,5,3,8] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,7,5,1,4,8,3,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,6,5,7,3,8,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,5,6,8,4,2,7,3] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[7,5,4,1,8,2,6,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,4,2,7,8,6,1,5] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[4,1,5,6,3,2,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[4,1,6,7,5,3,2,8] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,7,5,6,4,3,2,8] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[7,8,6,4,3,1,5,2] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[4,1,7,8,6,5,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[4,1,2,8,5,7,6,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[3,1,5,6,4,7,8,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[3,1,4,6,7,5,8,2] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[3,1,6,4,8,7,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[7,1,3,8,4,5,6,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[3,1,5,7,2,8,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[4,1,8,3,2,7,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,3,7,8,5,2,6] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[5,1,3,2,4,7,8,6] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,3,4,8,6,2,7,5] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,5,2,4,6,7,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[4,2,6,3,5,7,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,4,8,5,6,2,7,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,3,8,5,2,6,7,4] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,6,4,3,2,7,8,5] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,7,5,2,3,6,8,4] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[7,1,5,2,3,6,8,4] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[8,1,2,5,3,6,7,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[8,1,7,2,4,3,5,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,3,8,2,4,7,5,6] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,3,7,2,4,6,5,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,3,2,4,6,5,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,8,3,7,4,2,5,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[4,1,6,5,2,7,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,8,3,6,7,4,2,5] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[1,6,3,5,2,7,8,4] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,7,3,2,6,4,8] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[5,1,3,7,2,6,4,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,6,7,2,4,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[6,1,4,8,2,7,3,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[8,1,7,6,5,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[7,1,5,6,8,2,4,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[7,1,6,3,5,4,2,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,6,7,3,5,4,8,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[1,7,3,5,6,8,4,2] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[1,7,8,3,6,4,5,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[1,8,7,6,4,5,2,3] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[4,1,7,5,6,8,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[5,6,7,4,3,1,8,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[6,7,8,5,3,1,4,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[1,4,6,2,5,3,7,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,3,2,5,4,7,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,8,2,5,4,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,5,4,2,6,3,7,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,6,4,3,5,7,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,6,8,2,7,5,4,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,7,4,3,2,6,8,5] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,5,4,7,2,6,8,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,3,7,6,2,8,5,4] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,7,6,2,8,4,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,2,8,4,3,7,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,2,8,4,3,6,5,7] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,8,5,6,3,4,7] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,3,5,2,8,6,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,7,2,5,8,4,3] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,5,8,3,2,7,4,6] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,4,5,8,2,6,3,7] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,6,4,8,2,5,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,4,8,6,5,2,7,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,8,2,6,5,4,7] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,6,3,8,2,4,5] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,5,2,7,6,4,8,3] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,2,4,3,8,7,5,6] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,3,8,7,2,5,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,8,6,2,4,5,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,3,8,5,4,2,6,7] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,2,4,8,6,5,3] => [.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,6,5,3,2,8,7,4] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,3,2,8,7,5,4,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,2,8,6,5,4,3,7] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[8,1,3,4,6,5,2,7] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[8,1,5,4,2,6,3,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[7,1,4,8,6,3,5,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[8,1,6,5,3,4,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[7,1,4,8,3,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[8,7,3,1,6,2,5,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,1,7,3,5,6,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,1,7,5,4,6,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[5,3,1,7,6,4,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,8,6,4,3,2,7,5] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,8,7,6,4,2,5,3] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,4,8,6,7,5,3,2] => [.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 2
[1,7,3,6,8,5,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[7,1,3,6,8,5,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[1,8,3,6,7,5,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[8,1,7,6,4,5,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[7,1,8,6,4,5,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,6,2,7,4,5,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,8,2,6,4,3,5,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,7,2,6,4,3,5,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,7,2,5,4,6,3,8] => [.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 2
[5,1,8,7,3,4,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[8,2,3,6,7,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[3,1,2,4,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[6,8,7,5,3,1,4,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[8,7,5,6,3,1,4,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[2,1,4,8,7,3,6,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,1,8,7,3,4,6,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[2,8,7,5,3,1,6,4] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[7,1,2,3,5,4,6,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[7,1,2,6,4,5,3,8] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,2,4,3,5,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[3,1,6,8,5,7,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,1,7,3,5,8,6,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[4,5,8,2,1,3,6,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[8,1,3,5,2,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,8,3,5,7,2,4,6] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[8,1,4,2,7,6,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,5,7,3,6,8,2,4] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,3,4,7,6,8,2,5] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[8,1,3,6,7,4,2,5] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,2,4,7,8,5,3,6] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[3,1,4,7,6,8,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[4,1,3,7,6,8,2,5] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[5,1,7,3,6,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,7,1,6,4,3,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,8,2,7,5,4,3,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[6,7,1,2,8,4,3,5] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[2,1,3,8,6,5,4,7] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[8,2,1,7,5,4,3,6] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,3,2,8,6,5,4,7] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,5,7,8,6,3,2,4] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[1,4,8,6,7,3,2,5] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[1,3,8,7,5,4,2,6] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[8,1,7,6,4,3,2,5] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[4,1,8,6,7,3,2,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,5,8,4,3,7,6,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[8,1,7,2,5,6,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[8,1,3,5,2,7,6,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[2,4,1,6,7,5,8,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[8,1,4,5,6,3,7,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[8,1,4,5,6,2,7,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[8,1,4,7,6,2,5,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[2,7,1,3,6,8,5,4] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[2,7,1,3,8,4,6,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[6,5,3,7,4,2,1,8] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,6,3,8,4,2,5,7] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,8,3,4,5,2,6,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,8,6,4,2,5,3,7] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[4,8,7,5,3,1,6,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[6,1,4,8,3,2,5,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[4,1,8,5,3,2,6,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[8,1,6,4,2,7,3,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,7,4,2,5,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,2,7,4,3,5,6,8] => [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 2
[6,1,8,5,2,4,3,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[6,8,2,5,1,4,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,7,8,6,2,4,3,5] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[7,1,2,5,3,4,6,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,6,7,3,2,8,4,5] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,8,6,3,2,7,4,5] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,5,3,7,2,8,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,6,2,8,5,3,7] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,6,2,8,4,3,7] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,4,7,3,6,5,8] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,7,4,6,8,3] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,2,4,7,6,8,3,5] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[1,6,8,5,4,2,7,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,5,8,4,2,1,7,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,7,8,6,5,4,2,3] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[2,1,5,8,6,4,7,3] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[5,7,2,3,4,6,8,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[1,8,7,3,2,5,6,4] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[5,7,1,2,3,8,6,4] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[7,1,5,8,2,3,6,4] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[7,6,4,8,2,1,5,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[6,1,8,4,2,3,5,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,8,6,4,2,5,7,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[5,1,6,4,3,8,7,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,3,8,7,5,4,6,2] => [.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 2
[3,1,7,2,5,6,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[4,1,5,7,3,2,8,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,1,3,4,8,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[6,1,4,5,7,8,2,3] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[7,1,3,4,5,6,8,2] => [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,8,3,5,6,2,7,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,7,8,5,2,6,3,4] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,7,3,8,6,2,4] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[6,7,2,1,5,3,8,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,8,3,1,7,6,5,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,6,7,4,2,5,8,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,6,7,5,8,3,2,4] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[5,1,6,3,2,4,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[6,1,7,2,8,4,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,7,3,8,5,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,8,3,2,5,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,5,1,2,8,7,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,6,1,2,8,3,7,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[2,1,6,4,8,3,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,5,7,8,4,2,3,6] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,3,6,4,2,5,7,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,4,5,7,8,3,6,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[1,5,7,8,3,6,2,4] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,7,8,2,4,3,6] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,4,6,3,2,7,5] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,8,5,3,2,1,7] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[1,6,3,8,4,2,7,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,1,3,2,4,6,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[4,1,8,2,6,7,5,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[3,6,7,8,2,1,4,5] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[8,1,6,2,3,4,7,5] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[6,1,4,2,5,7,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,8,3,4,5,2,7,6] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,8,3,6,4,7,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,4,7,2,5,6,3,8] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,2,5,8,4,3,6] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,4,6,7,8,3,5,2] => [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 2
[4,1,5,3,6,8,7,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,6,8,3,5,2,7,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,6,8,7,3,2,4] => [.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 2
[1,4,8,3,6,5,2,7] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,3,8,6,4,7,2,5] => [.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 2
[4,1,7,6,8,3,2,5] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[8,1,4,5,7,3,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,8,4,7,6,2,3,5] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[6,1,2,8,7,3,4,5] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,5,8,6,2,7,4,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,1,8,5,7,2,6,4] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,4,6,7,8,2,1,5] => [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => 4
[1,2,6,7,8,5,3,4] => [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 2
[1,6,7,4,8,3,2,5] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[1,4,6,7,8,3,2,5] => [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 2
[6,1,8,7,2,3,5,4] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[4,1,2,3,5,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[5,1,2,3,4,6,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[8,1,2,3,4,5,6,7,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[7,1,2,3,4,5,6,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[6,1,2,3,4,5,7,8,9,10] => [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[4,1,8,3,5,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[7,1,4,2,5,6,3,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,7,1,3,5,6,8,4] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[6,8,2,1,5,3,7,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,5,8,2,3,6,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[4,1,2,7,5,6,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[6,8,1,2,5,4,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[7,1,2,8,5,6,4,3] => [[.,.],[.,[[[[.,.],[.,.]],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[3,1,6,8,5,4,7,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[6,1,8,3,5,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,8,2,3,4,6,7,1] => [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => 4
[1,5,7,6,3,2,8,4] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[7,5,2,1,4,3,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,1,7,8,5,4,2,6] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[4,1,6,5,3,8,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,5,4,6,3,8,2,7] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,8,6,4,7,3,2,5] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[1,5,7,6,2,8,4,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,6,5,2,7,8,4,3] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[6,7,8,4,2,1,5,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[6,1,4,7,2,5,8,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[8,2,1,7,6,5,3,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,6,8,5,3,2,4,7] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,7,8,4,6,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[7,1,8,4,6,2,3,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,6,5,4,7,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[4,1,6,8,7,3,2,5] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[5,1,4,6,7,3,8,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[7,1,3,4,6,2,8,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,4,7,5,8,6,3,2] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[6,1,8,3,4,7,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,8,6,3,5,2,7,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,7,1,6,8,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[7,1,8,4,2,5,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,4,8,7,5,2,6,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,5,6,4,2,3,7,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,8,7,3,2,5,4,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,2,5,4,8,7,3,6] => [.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,2,4,8,6,3,5,7] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,5,2,4,7,3,8,6] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,2,7,6,8,4,3,5] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,6,3,2,5,7,8,4] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[1,7,3,4,2,6,8,5] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,6,3,5,8,4,2,7] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[1,5,6,3,2,8,4,7] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,5,8,4,6,3,7] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,5,3,2,7,8,4,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[4,1,8,6,2,3,7,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,8,5,7,6,3,2,4] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,4,7,3,6,8,5,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[1,6,3,5,7,8,4,2] => [.,[[[.,.],[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 2
[1,5,6,3,2,7,8,4] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,2,7,6,8,4,5,3] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,8,4,7,5,3,2,6] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,2,6,8,4,3,7,5] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[8,7,6,1,4,2,5,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,5,3,7,8,4,6,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[1,5,7,3,8,2,6,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,3,7,5,8,6,2,4] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,1,2,7,5,8,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,2,5,7,8,6,4] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3
[3,7,1,2,8,5,6,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[6,1,4,8,5,2,7,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,6,8,5,2,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,1,8,2,3,6,7,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,5,3,8,2,4,6,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[8,1,7,5,3,6,4,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[8,1,5,4,6,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,5,3,2,8,6,7,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,8,5,3,2,6,7,4] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,5,6,7,3,2,8,4] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[1,7,5,2,3,4,8,6] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,7,5,2,4,8,6,3] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[1,6,7,8,3,2,4,5] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,4,8,6,2,3,5,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,8,4,5,6,7,2,3] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,2,8,6,3,5,7,4] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,2,7,8,4,3,5,6] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,8,6,7,4,2,3,5] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,6,7,8,4,2,3,5] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,6,7,8,3,4,2,5] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,7,4,2,3,8,5,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,8,4,2,3,5,6] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,3,5,6,2,8,4] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,7,8,3,4,2,5,6] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,2,3,7,8,5,4,6] => [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,2,7,4,6,3,8,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,8,4,5,2,3,6] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,8,3,4,5,2,6] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,2,8,4,5,6,3,7] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,8,4,5,6,2,3,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[5,1,8,3,6,7,4,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[3,1,8,4,6,2,7,5] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,8,7,6,4,3,5,2] => [.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[6,1,8,7,5,3,4,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[4,8,7,6,3,1,5,2] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[7,6,4,1,8,2,5,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,1,6,7,3,4,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,1,3,4,8,5,7,6] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,2,3,4,5,9,6,8,7] => [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,7,1,2,6,8,3,4] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,5,2,3,6,8,7,4] => [.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[3,1,2,8,5,7,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,3,8,5,7,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[2,1,4,7,6,3,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[5,1,7,6,3,4,8,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[6,1,7,5,4,8,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,5,8,2,4,7,6,3] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[6,8,1,4,7,3,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,6,8,2,7,4,5,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[6,2,4,7,8,1,3,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[6,1,4,3,2,8,5,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,4,7,2,6,8,5,3] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[5,1,8,7,4,6,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,5,3,2,8,7,6,4] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[6,1,4,3,8,7,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[6,3,1,8,7,4,2,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[2,8,6,7,5,4,3,1] => [[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => 3
[8,1,6,3,7,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[6,1,7,8,5,3,2,4] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[6,1,7,4,2,5,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[7,1,5,2,6,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[3,7,1,6,8,4,5,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[7,1,8,4,6,3,5,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[4,3,5,6,7,8,9,1,2] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,3,6,4,7,5,2,8] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,4,7,3,6,5,2,8] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,4,8,3,7,5,2,6] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,3,7,4,8,5,2,6] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,3,6,4,8,5,2,7] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,3,5,4,8,6,2,7] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[1,5,2,4,7,6,3,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,5,2,4,8,6,3,7] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[7,1,3,2,5,6,4,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,5,2,8,7,4,3,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[4,8,3,1,5,2,7,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[7,1,5,3,2,6,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,4,2,7,3,6,8,5] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,7,6,3,2,4,8,5] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[2,1,6,4,7,8,5,3] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,6,3,2,4,7,8,5] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,3,7,5,8,4,6] => [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 2
[1,8,5,3,2,4,7,6] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,3,7,6,2,4,5,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,1,4,3,8,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[6,8,7,9,5,4,3,2,1] => [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => 7
[1,7,2,8,6,3,5,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[3,2,4,6,7,8,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[7,1,5,2,6,4,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,8,5,6,2,7,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,2,1,6,4,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[9,1,3,4,5,6,7,8,2] => [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 3
[7,1,8,6,2,5,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[8,5,1,7,6,4,2,3] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,5,8,2,6,4,7,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,5,7,4,6,8,3,2] => [.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 2
[1,4,7,5,6,8,3,2] => [.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 2
[8,1,2,6,4,5,7,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,7,3,4,5,8,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[7,1,8,4,5,6,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,2,7,4,5,8,3,6] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[6,1,8,4,5,3,7,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[5,1,4,6,2,8,7,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,5,8,7,4,6,3,2] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[1,6,4,5,7,3,8,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[1,5,4,7,8,6,2,3] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[7,1,6,8,5,2,4,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,5,7,8,6,2,4,3] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[2,3,4,5,8,9,1,6,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[8,4,3,5,2,1,7,6] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[8,1,6,3,7,4,2,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,6,4,1,3,2,8,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,1,6,2,8,5,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[7,1,6,3,8,5,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,8,5,3,2,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[7,1,8,2,5,6,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[6,1,5,8,7,2,4,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,5,7,4,8,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[6,1,5,7,8,3,4,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[6,1,4,2,5,8,7,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,5,3,8,4,6,2,7] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,7,6,4,8,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[8,7,4,1,3,2,6,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,1,4,8,3,6,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,1,8,5,7,6,2,3] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,5,8,3,4,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[7,8,4,5,1,3,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,7,8,5,3,4,6,2] => [.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 2
[1,5,8,3,6,4,7,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[4,8,1,5,6,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,8,2,6,5,3,7,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[8,1,4,2,3,5,7,6] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[8,1,2,4,6,5,7,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[5,1,8,3,7,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,7,2,6,3,4,8,5] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[7,1,2,6,3,4,5,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[7,1,6,5,4,2,3,8] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[5,7,8,4,3,2,6,1] => [[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => 6
[1,3,8,4,7,2,6,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,3,2,6,8,4,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[5,4,3,1,7,2,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,3,6,8,7,2,5,4] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[7,6,8,4,3,1,5,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[1,7,6,5,3,2,4,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[9,8,7,6,5,4,2,3,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 9
[1,7,2,8,5,4,3,6] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[8,1,5,2,4,6,3,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,7,8,5,6,4,2,3] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[8,3,1,2,4,6,7,5] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[3,1,7,5,8,2,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,3,2,4,6,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[8,1,5,6,4,2,3,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[8,1,6,5,4,3,2,7] => [[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,5,3,6,8,7,2,4] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[7,4,3,8,5,6,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[3,1,5,8,7,6,2,4] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[3,1,8,6,5,7,2,4] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,2,7,6,4,5,8,3] => [.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[7,8,1,4,2,3,5,6] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[5,1,2,4,3,6,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[4,1,3,6,7,2,8,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[5,6,8,4,1,2,3,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[6,1,5,4,7,2,8,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[3,4,5,6,7,8,2,9,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[1,4,8,6,3,2,7,5] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,1,8,6,2,5,7,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[7,1,3,2,6,5,8,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,3,5,8,7,4,2] => [[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3
[5,1,6,8,4,7,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,3,5,8,4,7,2,6] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[4,1,3,5,6,2,8,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[6,4,8,7,3,5,2,1] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 6
[8,2,3,5,6,1,4,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,7,4,3,5,2,8,6] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[3,1,6,8,2,7,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,5,2,8,7,6,4,3] => [.,[[.,.],[[[[[.,.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[4,7,1,2,6,5,8,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,3,7,8,5,4,6,2] => [.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,3,2,7,8,5,4,6] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,5,7,6,8,3,4,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[2,1,7,4,3,8,5,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,4,8,2,3,6,5,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,4,6,7,3,5,2,8] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,4,8,2,6,7,5,3] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,7,3,2,4,5,6,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,7,3,2,4,5,8,6] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,4,3,2,5,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,3,5,8,6,2,7,4] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,8,5,7,4,2,6] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,2,3,7,5,4,6,8] => [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,4,2,8,6,3,5,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,1,8,2,5,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,5,4,2,3,6,8,7] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,2,4,8,6,7,5] => [[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 3
[3,1,2,5,8,7,4,6] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[5,1,4,7,3,2,8,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,1,8,6,3,5,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[4,1,5,8,6,2,3,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,4,5,3,6,2,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,7,2,4,5,3,6,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,7,4,5,3,2,6,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,6,4,7,3,5,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,6,4,7,5,2,3,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,5,2,6,7,4,3,8] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[3,4,6,7,8,1,5,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[8,1,5,3,2,4,7,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[8,1,4,3,7,5,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,4,8,5,3,2,6,7] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[6,1,2,8,5,3,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[4,1,5,8,3,6,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,1,6,8,3,2,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,1,5,6,8,2,7,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[5,1,2,8,4,3,7,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,2,3,7,8,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,7,6,4,2,3,5,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,3,2,5,8,6,4,7] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[6,1,4,7,2,8,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,6,7,2,4,8,5,3] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,8,4,5,6,2,7,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[7,1,3,2,6,8,4,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,7,3,8,2,4,6,5] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[6,1,3,8,4,2,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,6,1,5,8,4,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[5,8,1,2,4,3,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,5,2,3,8,7,6] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,8,5,3,7,4,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,4,8,5,3,2,1] => [[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => 7
[1,5,7,2,4,3,6,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,5,3,2,4,7,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,7,2,4,6,5,3,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,4,7,2,6,5,3,8] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,6,8,7,4,3,5] => [.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,2,7,4,3,5,8,6] => [.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,6,2,8,7,4,3,5] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,7,4,2,3,5,8,6] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,8,5,2,3,6,4,7] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,4,8,5,2,3,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,4,7,5,2,8,6,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,6,3,7,4,2,8,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,8,5,2,7,4,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,8,7,5,3,2,6] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[1,2,5,8,6,3,7,4] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,2,4,7,5,8,6,3] => [.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 2
[1,5,8,7,6,2,4,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,3,5,8,7,6,2,4] => [.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,5,2,4,3,6,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,6,8,7,5,3,2,4] => [.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[1,2,5,7,4,3,8,6] => [.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,5,3,2,6,8,7,4] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[1,4,2,6,8,7,5,3] => [.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,5,8,6,3,2,7,4] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[1,8,5,2,6,3,4,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,4,6,3,2,8,5] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,6,3,2,8,5,4,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,3,8,6,4,2,5,7] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,5,7,4,2,3,8,6] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[6,1,3,4,7,2,8,5] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,5,8,2,6,7,4,3] => [.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 2
[7,1,3,6,5,2,8,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,4,7,5,2,3,8,6] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[6,1,7,5,4,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,2,4,6,8,5,3,7] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[3,1,5,8,6,2,4,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,5,8,7,4,2,6,3] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[6,8,7,5,4,3,1,2] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6
[5,6,4,7,3,8,2,9,1,10] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[8,1,4,7,2,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[6,1,8,5,2,7,3,4] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,8,7,5,2,4,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,5,3,4,7,8,6,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[5,1,2,4,7,8,6,3] => [[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 3
[5,1,7,8,6,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[6,1,5,2,7,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[7,1,2,6,4,5,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,7,3,6,4,5,8,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[1,8,3,6,4,5,7,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[8,1,6,2,7,3,4,5] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[7,1,6,2,5,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[8,1,6,2,5,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[8,1,7,2,5,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[8,1,2,7,4,5,6,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,8,3,7,4,5,6,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[8,1,6,7,5,2,3,4] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,1,2,8,5,6,7,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[6,1,7,4,2,3,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,7,3,4,6,8,5,2] => [.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 2
[1,7,3,8,4,5,6,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[7,1,8,2,5,3,4,6] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[6,1,7,2,5,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,1,7,2,6,3,4,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[5,1,8,2,6,3,4,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,6,3,7,4,5,8,2] => [.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 2
[8,7,5,1,4,2,6,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,6,7,4,3,2,5,8] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,4,5,7,3,2,6,8] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,7,3,2,5,6,4,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[2,1,7,3,5,6,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,1,6,3,5,7,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,6,3,2,5,7,4,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,6,5,2,7,3,8] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,6,5,3,7,2,4,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,2,5,3,4,8,7,6] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,5,8,3,6,2,7,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,2,6,4,7,3,8,5] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,2,7,8,3,5,6,4] => [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[8,1,7,4,5,6,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,1,7,8,4,5,6,3] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[3,1,8,6,7,2,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,5,3,7,1,6,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,1,4,7,2,6,8,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,8,2,5,6,4,7,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[8,1,7,6,3,4,2,5] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[6,1,3,4,2,5,7,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,5,6,3,2,4,7,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,8,4,5,3,6,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[7,1,8,5,3,4,6,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[5,1,4,7,3,6,2,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[7,4,8,6,3,5,2,1] => [[[[[.,.],[[.,.],.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => 6
[1,6,5,8,7,4,2,3] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,1,3,8,7,5,2,4] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[7,6,2,1,8,3,5,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[7,1,3,6,8,2,5,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,7,5,6,8,2,4,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,7,4,5,2,8,6,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,1,2,4,5,6,3,8] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[2,1,6,4,7,5,3,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,6,8,5,4,1,3,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[7,1,8,4,6,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[7,1,5,6,4,3,2,8] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[4,1,3,8,6,2,7,5] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,1,2,3,6,8,4,5] => [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 3
[3,1,8,4,6,5,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[6,1,2,3,8,4,7,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[8,1,6,7,4,2,3,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[8,1,6,4,5,2,3,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,6,4,5,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,2,3,4,5,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[5,1,2,3,4,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[4,1,2,3,5,6,7,8,9] => [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 3
[5,7,6,8,4,1,3,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,7,3,6,8,4,2,5] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[1,7,8,2,4,3,5,6] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,8,2,4,3,6,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,1,2,8,7,4,5,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[2,1,3,8,7,4,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,3,8,7,4,5,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,6,8,3,2,4,7,5] => [.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 2
[1,3,2,8,7,6,4,5] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[2,1,3,8,7,6,4,5] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,6,3,7,2,5,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,4,6,3,5,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[2,8,1,3,5,7,4,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,4,2,5,7,6,3,8] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,4,2,6,8,5,3,7] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,2,6,8,3,5,4,7] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,8,3,5,4,2,7] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,5,3,2,4,6,8,7] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,5,8,7,6,3,2,4] => [.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[1,5,7,6,3,2,4,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,6,3,2,4,7,5,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,6,3,2,4,8,7,5] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,7,6,4,3,5,8] => [.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,8,7,5,2,4,6,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,7,5,2,4,6,3,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,4,2,5,3,6,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,8,4,7,5,2,6,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,7,5,2,3,6,4,8] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,5,2,6,3,4,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,3,7,4,2,5,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,6,3,2,7,5,4,8] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,7,5,2,6,3,8] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,3,6,4,8,7,5,2] => [.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,3,7,6,4,2,5,8] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,3,2,4,8,5,7,6] => [.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,3,8,7,5,2,4,6] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,4,6,3,2,7,5,8] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,4,6,3,2,8,7,5] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,5,7,6,4,2,3,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,6,3,2,8,4,7,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,3,5,2,7,4,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,3,5,2,8,7,4] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,8,3,7,5,2,4,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,4,2,8,5,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,8,7,3,4,5,2,6] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,8,7,4,5,2,3,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,2,6,8,7,3,4,5] => [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,7,8,4,5,6,2] => [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 2
[1,4,3,7,2,8,6,5] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,8,7,4,5,3,2,6] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,1,7,2,8,4,5,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,4,6,3,8,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[4,5,3,1,8,7,6,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[5,1,8,4,3,7,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,4,8,2,5,6,7,3] => [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[8,1,6,7,2,5,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[8,1,4,6,5,3,2,7] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[8,1,4,7,6,5,2,3] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[8,1,2,7,6,5,4,3] => [[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[6,1,8,7,4,5,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,3,2,6,8,7,4,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,3,8,2,5,4,6,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,2,5,8,7,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,6,8,7,2,3,5,4] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,6,8,7,2,5,3,4] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,2,4,8,3,6,7] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,4,5,8,6,3,7] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,2,8,3,5,4,7,6] => [.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,8,2,5,4,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,7,5,2,4,8,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,5,6,4,7,2,3,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,4,2,5,8,3,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,6,4,3,7,5,2,8] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,6,5,4,7,2,3,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,7,3,2,6,4,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,8,2,3,6,7,4] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,3,2,6,8,5,4,7] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,6,3,2,7,4,5,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,8,5,4,2,3,6] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,8,4,2,3,6,5,7] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,4,2,7,5,3,8,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,5,7,6,2,4,3,8] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,8,4,7,3,2,6,5] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,3,8,4,2,6,5,7] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,4,2,6,5,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,6,5,8,3,7,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[1,7,4,8,3,2,5,6] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,4,8,3,2,7,5,6] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,8,3,6,4,5,2,7] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,6,4,7,3,2,8,5] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[8,1,7,3,4,5,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,8,3,4,5,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,8,7,1,2,4,5,6] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,8,5,3,4,6,2,7] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[7,1,6,5,4,3,8,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[7,1,3,6,4,5,8,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[7,1,5,3,6,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[6,1,5,3,7,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[5,1,7,3,8,6,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,3,2,4,7,8,5] => [[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[6,2,1,3,4,7,8,5] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[3,4,5,6,8,9,1,2,7] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,6,4,8,5,7,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[6,1,4,3,8,7,2,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[5,1,3,2,6,8,7,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[6,1,3,8,7,2,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,2,8,4,5,7,3,6] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[4,2,1,8,7,6,3,5] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,6,2,4,8,5,7,3] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[3,1,6,5,8,7,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,8,5,3,4,7,6,2] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[2,7,1,3,6,4,5,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[8,1,7,3,5,4,6,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,8,6,3,2,5,4,7] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[8,1,2,4,7,5,6,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,3,8,7,6,5,2,4] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,8,7,2,6,3,5,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,5,7,4,8,6,3] => [.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 2
[6,2,1,8,7,5,3,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,5,6,3,8,4,2,7] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[9,7,8,5,4,3,2,1,6] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8
[8,1,4,6,7,5,2,3] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[8,1,2,6,4,7,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[4,8,1,2,6,7,5,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[4,8,2,1,6,7,5,3] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[7,1,4,8,2,3,6,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,4,7,8,3,5,2,6] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[6,1,2,5,4,8,7,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,5,6,3,8,2,7,4] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,5,3,6,2,8,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,5,7,3,4,2,8,6] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,5,3,8,2,7,6] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[5,1,6,8,3,7,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,4,8,2,6,5,3,7] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,5,6,8,7,3,4] => [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,5,6,8,2,7,4,3] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,6,5,7,8,2,4,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,5,6,7,2,8,4,3] => [.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,3,7,2,6,4,8,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,5,8,6,7,3,4,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[1,6,5,8,7,2,4,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,5,7,6,2,8,3,4] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,2,5,8,6,7,4,3] => [.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,2,6,5,7,3,8,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,5,8,6,4,2,3] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[2,5,6,8,1,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[8,7,6,4,2,1,5,3] => [[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => 7
[5,8,3,7,1,4,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,3,4,7,2,6,5,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[2,5,1,4,3,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[4,1,5,8,3,6,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,7,8,5,2,3,1,6] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[2,7,1,3,8,5,4,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[7,1,2,6,3,8,4,5] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[8,1,2,6,5,3,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,7,4,3,2,5,6,8] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,7,4,3,6,2,5,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[5,1,3,4,6,2,8,7] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,8,4,7,5,6,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[4,1,7,6,3,8,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[5,1,4,7,8,2,6,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,8,7,5,2,1,6,4] => [[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => 4
[4,1,5,6,8,7,3,2] => [[.,.],[[[.,[.,[[.,.],.]]],.],.]] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3
[6,1,2,4,5,7,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[8,1,3,7,4,5,6,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[8,1,5,3,6,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[8,1,5,4,7,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[8,1,5,4,7,6,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[3,1,6,5,2,8,7,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,7,2,4,3,5,8,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[8,1,7,4,3,5,6,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,2,8,3,5,6,4,7] => [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[2,8,1,3,5,4,6,7] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,5,2,8,6,4,3,7] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[6,1,5,2,8,7,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,1,3,5,7,4,2,6] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[3,1,8,5,4,7,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,1,6,4,8,5,2,7] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[5,1,3,4,2,6,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,8,4,7,3,2,5,6] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,2,5,4,7,8,3,6] => [.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,8,3,2,6,4,7,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[4,7,1,2,5,3,6,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[8,5,4,1,6,7,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[1,6,2,3,5,7,8,4] => [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,3,4,8,5,2,6,7] => [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,5,7,2,3,6,8,4] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,1,4,8,3,2,7,6] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,8,4,7,6,3,5,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[1,8,3,7,6,5,2,4] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[1,4,3,8,7,2,6,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,1,5,4,6,2,3,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,6,1,5,3,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,5,4,8,6,2,7,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,8,5,1,2,3,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[2,1,6,7,4,8,3,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[7,8,3,1,6,2,5,4] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,7,8,4,3,1,5,2] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[1,7,5,8,2,4,6,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[5,1,6,8,3,4,7,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[7,1,6,8,5,4,3,2] => [[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[4,8,1,2,7,6,5,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[4,6,1,2,8,5,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[3,1,6,2,5,7,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,6,4,5,2,7,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,4,6,8,3,7,5] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,3,5,8,2,6,7,4] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,1,3,7,2,8,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[8,1,4,3,6,7,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,1,5,2,6,4,3,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,7,4,2,8,3,5] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,8,4,3,6,2,5] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[1,4,7,2,3,6,8,5] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,1,2,6,7,8,5,4] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,6,3,4,7,8,2,5] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[3,1,5,7,6,2,8,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,7,6,5,2,8,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,4,7,6,8,3,2,5] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[3,1,5,2,8,7,6,4] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,2,8,4,3,7,6,5] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,1,8,6,3,2,4,7] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,5,4,2,8,6,3,7] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,2,8,5,3,7,6] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,7,4,8,3,5,2,6] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,8,4,2,7,5,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,8,7,6,4,3,5] => [.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[4,1,7,8,6,3,5,2] => [[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,6,5,7,8,4,2,3] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[4,1,8,7,6,3,5,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[4,1,8,5,3,6,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[3,1,5,8,2,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,1,8,5,4,6,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[6,1,8,4,5,3,2,7] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[4,1,8,5,3,6,7,2] => [[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[3,1,6,8,5,7,4,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[2,1,6,8,5,3,7,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,1,8,5,2,6,3,7] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,6,8,5,2,4,7] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[6,5,8,7,4,2,1,3] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[6,1,8,4,5,7,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,5,4,8,6,2,3,7] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,7,4,6,8,3,2,5] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[4,7,2,5,6,3,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,1,5,8,3,7,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,2,6,7,4,3,5,8] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[5,1,2,6,4,8,3,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[8,6,1,2,3,5,7,4] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[5,1,7,8,3,2,4,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[6,1,4,2,8,7,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[5,1,8,6,4,2,7,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[2,1,7,6,8,4,5,3] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,4,8,2,7,6,5,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,3,1,5,2,8,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,2,6,8,3,4,7,5] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,8,2,7,3,5,6,4] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,7,4,8,6,5,3,2] => [.,[[[[.,.],[[[.,.],.],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,6,3,5,7,4,8,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[1,5,4,7,2,8,3,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[8,1,2,6,5,3,4,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,6,8,3,4,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[8,1,2,6,3,5,7,4] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,8,4,3,7,6,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[2,7,8,5,1,4,6,3] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,5,3,8,4,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,8,6,2,5,4,7,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[3,8,5,7,6,4,2,1] => [[[.,[[[.,.],[[.,.],.]],.]],.],.] => [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => 4
[3,1,5,8,6,4,7,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[7,5,3,8,6,4,2,1] => [[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => 6
[5,1,3,8,6,4,2,7] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,5,8,3,6,4,2,7] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,5,8,6,3,4,2,7] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[1,3,7,8,4,2,6,5] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[6,1,2,5,3,4,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,4,6,5,7,2,3,8] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[8,1,6,7,3,5,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,3,2,6,8,4,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[8,1,7,5,4,2,6,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,2,6,4,7,3,5,8] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,4,3,7,2,5,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[7,3,1,8,6,5,2,4] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[3,1,6,5,7,8,4,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,7,2,5,6,8,4,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[4,7,6,8,3,1,5,2] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[7,1,5,4,2,3,6,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,3,6,4,5,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[6,1,3,8,4,5,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[2,1,8,7,3,6,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,5,7,6,3,2,8] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,4,2,6,7,8,5,3] => [.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 2
[1,4,2,5,6,8,7,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,8,6,2,4,3,5,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[3,2,4,5,7,8,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[7,8,5,4,2,1,6,3] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[1,6,2,7,8,4,5,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[1,6,8,2,7,5,3,4] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,7,8,6,4,2,3,5] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,5,3,7,4,2,6,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,7,6,4,3,2,8,5] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,7,6,3,4,2,5,8] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,2,7,4,3,8,6,5] => [.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,5,4,2,3,8,7,6] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,5,3,2,4,6,7,8] => [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 2
[1,5,4,2,3,7,8,6] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,7,6,3,5,8,4] => [.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[8,1,3,2,6,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[8,1,4,3,5,2,7,6] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,7,5,8,4,6,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[7,1,4,2,3,8,6,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[8,1,2,5,3,7,6,4] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[3,6,2,5,1,7,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[7,1,4,2,5,8,6,3] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[4,6,7,8,2,1,3,5] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[6,1,3,4,2,5,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[5,1,3,6,2,4,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,5,7,6,8,2,4,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,6,2,4,3,5,8,7] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,5,6,3,7,8,4,2] => [.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 2
[1,5,7,6,3,8,4,2] => [.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[1,6,3,7,8,5,4,2] => [.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 2
[1,7,8,6,3,5,4,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[7,1,3,8,2,5,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,1,5,4,7,2,6,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[5,1,3,7,6,2,4,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[1,6,3,7,2,4,5,8] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[5,1,4,8,7,3,2,6] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[6,1,3,4,2,7,8,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,5,3,8,4,2,7,6] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,4,2,1,8,3,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[3,1,7,4,2,6,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,7,3,2,5,6,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[3,1,6,8,4,2,7,5] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,4,8,5,3,6,7,2] => [.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 2
[4,5,1,2,7,8,6,3] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[6,1,4,7,3,8,2,5] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[7,1,6,3,4,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,1,3,6,2,5,7,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,5,6,3,8,4,7,2] => [.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 2
[5,6,1,2,8,4,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,7,8,6,3,4,2,5] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[7,1,8,5,6,4,2,3] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[7,1,5,8,6,4,2,3] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[8,1,3,5,6,4,2,7] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,3,8,5,6,4,2,7] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,3,5,8,6,4,2,7] => [.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,5,7,8,6,4,2,3] => [.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 2
[1,8,2,6,5,3,4,7] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,8,1,2,3,7,4,5] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[8,1,3,5,6,7,2,4] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[8,1,2,5,3,4,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[6,8,7,5,2,1,4,3] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,5,8,7,6,3,4,2] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[1,4,7,8,5,6,3,2] => [.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 2
[1,6,4,8,5,7,3,2] => [.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[1,6,8,5,2,7,3,4] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,3,4,8,5,2,7,6] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,1,5,4,6,8,7,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[3,1,6,4,2,5,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,8,4,7,2,3,6,5] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,8,3,7,4,6,5,2] => [.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 2
[3,1,7,8,6,2,5,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,8,1,2,6,5,7,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[2,1,5,7,6,3,8,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[4,1,2,5,7,6,8,3] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,8,5,2,3,4,7,6] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,5,8,2,3,4,7,6] => [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,8,4,5,6,3] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[4,1,5,7,6,8,3,2] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[3,5,6,2,1,4,7,8] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,5,6,4,2,8,1,7] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[5,8,1,4,2,3,6,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,2,5,6,8,3,7,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,1,5,6,8,7,2,3] => [[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,2,5,6,8,4,7,3] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[1,5,6,8,4,7,2,3] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,3,5,6,8,4,7,2] => [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 2
[5,6,8,2,3,4,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[5,1,7,2,8,6,3,4] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,5,3,4,8,7,2] => [[.,.],[[[.,.],[.,[[.,.],.]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,5,6,4,2,8,7,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,1,7,8,4,2,3,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[4,3,1,2,5,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[5,3,1,2,4,6,7,8,9] => [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[4,3,1,2,5,6,7,8,9,10] => [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 4
[1,3,8,2,4,6,7,5] => [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,1,7,3,4,2,5,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,1,7,2,5,8,6,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[7,1,6,8,2,5,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,6,5,7,4,2,3,8] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[6,8,5,1,7,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[4,1,6,2,7,5,3,8] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,1,3,7,5,2,6,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[4,1,6,3,2,7,5,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,8,4,5,3,1,7] => [[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,1,6,3,2,4,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[5,1,6,2,4,3,7,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,8,2,6,7,4,5,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[8,5,3,6,4,7,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[1,2,8,3,4,7,6,5] => [.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[7,6,4,5,2,1,8,3] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[8,7,5,1,4,6,3,2] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[8,1,7,3,6,4,2,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,8,5,3,4,2,6] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,4,5,8,3,2,6,7] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[1,5,2,4,7,8,6,3] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[1,6,3,2,7,5,8,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[4,2,5,3,6,7,8,1] => [[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,6,5,2,4,7,3,8] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,8,7,2,4,6,3,5] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,8,7,2,5,4,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,4,2,7,3,6,8] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[1,5,4,2,8,7,3,6] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,6,8,3,5,2,4,7] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,6,2,3,5,8,4] => [.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,8,3,6,5,4,7] => [.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,3,8,6,5,2,4,7] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,4,7,3,2,8,6,5] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,8,6,5,2,4,7,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,6,8,4,3,2,5,7] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[1,7,5,3,2,6,4,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,2,6,5,3,8,4,7] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,7,3,2,8,4,6,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,5,2,8,4,7,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,8,3,7,2,4,6,5] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,6,4,8,5,3,7,2] => [.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,2,6,7,8,1,3,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[5,1,7,2,6,4,8,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,7,6,5,8,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[4,2,3,6,7,8,1,5] => [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[6,1,2,4,3,7,8,5] => [[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[8,1,5,4,2,3,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,2,4,6,3,8,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[7,1,2,6,5,3,8,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[7,1,4,5,2,3,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[6,1,4,8,7,2,3,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[6,1,8,5,7,2,3,4] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,6,7,5,8,3,4,2] => [.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 2
[6,1,7,5,8,2,3,4] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,1,4,7,8,2,3,5] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[8,1,2,3,7,5,4,6] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,6,8,7,5,3,4,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[6,1,8,7,5,2,3,4] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[8,3,1,2,4,5,7,6] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[6,7,1,4,2,3,5,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,7,4,8,2,3,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,1,5,4,8,2,7,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,7,8,4,6,3,2,5] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[3,1,2,8,6,5,7,4] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[8,1,2,7,5,6,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[6,4,8,7,5,3,2,1] => [[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => 6
[1,5,6,3,2,8,7,4] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,3,7,6,8,4,2,5] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,6,7,3,2,8,5,4] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,3,8,5,2,7,6,4] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,1,5,7,4,8,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,5,8,2,1,4,6,7] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[3,5,8,2,4,6,7,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[5,1,3,8,2,4,6,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,5,8,4,2,3,6,7] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[5,8,2,4,1,6,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,8,2,4,6,3,1,7] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,5,8,4,6,7,2,3] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[5,1,8,4,6,7,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,8,6,4,5,7,2,3] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,8,6,4,2,3,5,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[3,8,1,6,2,4,5,7] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[8,1,3,6,2,4,5,7] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,8,4,6,7,5,2,3] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[8,4,2,1,5,3,7,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,6,2,5,8,4,7,3] => [.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 2
[2,1,5,8,7,3,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,2,5,6,8,1,4,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[8,1,3,6,5,4,2,7] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[7,4,3,6,2,1,8,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[1,2,4,8,6,3,7,5] => [.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[7,1,5,2,4,6,8,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,8,6,4,7,5,3,2] => [.,[[[[[.,.],.],[[.,.],.]],.],.]] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,3,8,7,6,4,2,5] => [.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,8,6,4,7,5,2,3] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,2,8,6,4,7,5,3] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[3,4,5,7,8,9,1,2,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[3,5,6,7,8,9,1,2,4] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[4,1,8,6,3,7,5,2] => [[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[3,1,5,7,8,4,2,6] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[6,1,3,7,4,5,2,8] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,8,6,3,5,4,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,8,2,7,5,3,4,6] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[4,1,5,3,8,6,7,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[7,1,3,2,4,5,6,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[5,1,7,8,2,4,3,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,7,6,4,2,5,3,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[3,5,1,7,8,4,6,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,5,2,4,6,8,7,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[8,1,2,4,7,6,5,3] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3
[6,1,3,2,8,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,3,8,4,7,5,2,6] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,7,2,6,1,4,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,5,1,4,2,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,3,8,4,6,2,5,7] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,8,4,2,3,7,5,6] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,4,8,3,2,7,6,5] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[1,3,7,6,5,2,4,8] => [.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,2,8,6,7,5,4,3] => [.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,7,5,4,3,2,6,8] => [.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 2
[8,5,7,6,4,3,1,2] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[1,4,6,8,2,5,7,3] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,5,2,6,8,3,7,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[5,1,7,8,3,6,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[6,1,7,3,2,8,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[6,7,8,5,2,1,4,3] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[1,4,7,8,6,2,5,3] => [.,[[.,[[.,[.,.]],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,6,7,8,3,2,5,4] => [.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 2
[1,3,2,7,8,4,6,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[9,1,7,8,6,5,4,3,2] => [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 3
[3,1,2,6,5,7,8,4] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,7,6,2,8,3,5,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[4,1,3,8,5,2,7,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,8,5,4,7,2,3,6] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[1,8,3,2,5,4,6,7] => [.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 2
[5,1,7,3,2,8,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,7,4,8,3,6,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,7,5,8,4,3,2,6] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[1,2,5,7,8,3,6,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[7,6,3,4,2,1,8,5] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[7,1,5,4,2,6,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[9,8,7,6,5,3,2,4,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 9
[10,9,8,7,6,5,4,2,3,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 10
[2,3,4,6,8,1,7,5] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,5,7,9,1,8,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,2,4,5,6,7,9,1,8] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[4,2,3,5,6,7,9,1,8] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[3,1,5,6,4,2,8,7] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[8,5,6,4,3,1,7,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[8,3,5,6,7,1,2,4] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[2,1,4,7,3,6,8,5] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,1,5,3,7,8,6,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[5,1,4,7,6,8,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[8,1,4,2,6,5,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,6,4,3,8,2,7,5] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,1,8,4,5,3,6,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[2,1,7,4,3,6,8,5] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[7,1,2,4,5,6,8,3] => [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,7,2,5,4,6,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[1,6,4,2,5,7,8,3] => [.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 2
[5,6,3,4,1,7,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,8,2,3,1,5,7,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[6,4,3,7,5,8,2,1] => [[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => 6
[8,1,4,5,3,6,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,5,4,7,3,8,6,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[2,1,8,4,7,6,3,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,6,2,7,4,5,8,3] => [.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 2
[4,1,2,6,5,3,7,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[4,6,1,2,5,3,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[5,8,4,7,1,3,6,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,1,3,6,7,4,2,8] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[6,1,2,4,7,3,5,8] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[2,4,1,3,7,8,6,5] => [[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[5,1,6,4,7,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,7,1,6,8,4,5,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,5,4,7,2,6,3,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,4,7,5,8,3,6,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[4,7,8,6,2,5,1,3] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,7,6,3,5,4,2,8] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,3,6,2,5,8,7,4] => [.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[8,1,5,6,2,4,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[7,8,5,3,2,1,6,4] => [[[[[.,[.,.]],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => 6
[1,2,6,7,8,4,5,3] => [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 2
[6,1,4,8,2,7,5,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,5,6,7,4,8,2,3] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,7,8,4,6,5,2,3] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,7,3,2,8,6,5,4] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,2,8,6,5,4] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[8,1,5,7,3,4,6,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,8,2,4,7,6,3,5] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,8,2,4,6,7,5,3] => [.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 2
[3,1,8,2,6,7,5,4] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,6,5,2,8,7,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[8,1,7,3,5,2,4,6] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,3,2,7,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[6,1,5,4,7,2,3,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,6,8,4,2,5,7,3] => [.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 2
[1,4,2,8,3,5,7,6] => [.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,6,2,4,8,3,7,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,7,8,5,4,2,6,3] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,5,2,8,6,4,7,3] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,6,5,2,7,4,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[5,1,6,7,4,2,8,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,5,4,2,8,6,7,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,8,5,4,6,2,7,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,7,5,4,6,2,8,3] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,8,4,1,6,2,7,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,7,6,8,3,5,4,2] => [.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,1,6,8,2,5,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,8,6,4,5,3,2] => [.,[[[[[.,[.,.]],.],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[1,6,8,7,4,3,5,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[3,1,2,6,8,7,5,4] => [[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3
[5,6,2,3,1,7,8,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,6,3,4,2,7,5,8] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,2,4,5,6,8,3] => [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,8,3,2,5,6,4,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[5,1,3,8,4,6,7,2] => [[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 3
[5,1,3,2,6,7,8,4] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[5,1,3,4,2,7,6,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[6,1,3,4,2,7,5,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[6,1,5,2,7,8,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[8,1,5,7,3,6,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[8,1,2,3,6,4,7,5] => [[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[3,4,2,8,1,6,7,5] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[4,1,6,3,5,7,2,8] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,1,5,7,4,6,8,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[3,5,4,1,2,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[7,1,3,8,4,5,2,6] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,8,3,4,6,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,5,4,1,3,6,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[4,2,5,6,7,8,9,1,3] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[3,1,6,7,8,4,5,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[3,7,5,6,2,1,8,4] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,7,6,3,8,4,5,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[5,1,8,3,4,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[4,7,2,5,1,6,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[8,7,2,1,5,3,6,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[8,4,1,2,3,6,7,5] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[6,1,2,4,3,5,7,8] => [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,7,6,8,4,3,2,5] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[1,7,6,5,3,8,2,4] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,1,2,4,3,5,8,7] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[4,6,1,3,7,8,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,5,6,3,8,7,2,4] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[8,5,1,2,3,6,7,4] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,8,7,5,4,3,2,6] => [.,[[[[[[.,.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[3,1,4,7,6,2,5,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,5,2,4,6,3,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,1,4,5,2,7,3,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[6,1,5,8,2,7,4,3] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[7,1,2,3,6,4,5,8] => [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 3
[4,1,7,3,8,6,2,5] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,2,7,6,8,4,3] => [.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,3,5,6,8,7,2,4] => [.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[2,8,7,5,4,1,6,3] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[8,1,5,7,4,2,6,3] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[6,1,8,2,4,5,3,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,3,8,4,7,6,2,5] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,1,2,8,7,6,4,5] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[8,3,2,1,6,4,7,5] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[6,7,2,5,8,4,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[4,1,7,8,2,5,6,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,4,5,7,8,1,6,2] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,8,7,4,3,5,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[2,4,5,8,1,3,7,6] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,3,6,4,2,7,5,8] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[8,5,4,7,6,3,1,2] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,5,4,8,7,6,2,3] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,4,5,8,1,6,7] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[3,6,8,4,2,7,1,5] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,3,6,8,2,4,7,5] => [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,6,7,4,3,8,2,5] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[8,5,4,1,6,2,7,3] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[2,1,3,8,7,5,6,4] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[8,1,7,3,6,5,2,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,6,7,5,8,4,9,3,10,2] => [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] => 2
[1,7,6,2,4,8,5,3] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[5,1,4,8,2,6,3,7] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,4,7,8,6,3,5,2] => [.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 2
[6,1,8,2,4,3,5,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,6,8,2,5,3,4,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[4,1,3,8,5,6,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,7,8,6,3,2,5,4] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,7,2,1,5,8] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[7,8,5,1,6,4,3,2] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[8,7,5,1,6,4,3,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,4,6,3,7,5,2,8] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,7,6,3,8,5,2,4] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,3,8,7,4,5,6,2] => [.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,3,2,8,7,4,6,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[8,1,5,4,6,7,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[5,6,4,1,8,2,7,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[6,1,3,5,4,8,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,3,8,7,2,5,6,4] => [.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 2
[5,1,4,8,3,7,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,8,7,3,4,6,5,2] => [.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 2
[5,3,1,2,4,6,8,7] => [[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[3,1,2,8,7,5,4,6] => [[.,.],[.,[[[[.,.],.],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,4,3,8,5,7,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,5,3,7,6,4,8,2] => [.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 2
[1,8,2,4,7,3,6,5] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[8,1,5,7,3,6,4,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,8,4,2,5,7,3,6] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,4,8,5,2,3,6,7] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,4,8,5,2,3,7,6] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[7,1,4,2,6,8,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,5,8,7,2,4,3,6] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,5,4,2,8,3,7,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,8,7,3,5,4,6] => [.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[4,1,6,8,7,2,3,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[6,1,7,3,5,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[2,1,8,7,3,5,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[6,1,8,5,7,4,3,2] => [[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[5,8,1,2,7,4,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[8,1,4,2,7,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[8,6,3,5,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[1,4,7,3,6,8,2,5] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,2,6,7,4,5,8,3] => [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 2
[7,2,3,6,8,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[2,6,1,3,8,5,4,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,5,6,7,2,4,3,8] => [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,7,4,5,1,3,8,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,6,5,3,8,2,4,7] => [.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 2
[4,1,8,7,2,5,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,4,7,5,8,2,3,6] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,8,4,7,3,2,5] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[2,1,5,7,4,6,8,3] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,3,5,7,8,1,6,4] => [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,5,7,4,2,3,6,8] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[8,1,7,2,4,6,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,2,4,7,8,6,3,5] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,3,6,2,5,8,4,7] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,3,6,8,2,4,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[4,8,1,2,6,3,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[5,8,1,2,6,3,7,4] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,6,2,3,7,5,8,4] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[4,1,2,6,5,7,8,3] => [[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,8,4,2,7,3,6,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,7,5,2,3,8,6,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[8,1,4,7,3,5,2,6] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,2,6,3,7,5,8,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[5,1,8,3,2,4,7,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[3,1,5,4,6,7,8,2] => [[.,.],[[[.,.],[.,[.,[.,.]]]],.]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 3
[2,1,7,3,8,6,4,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,7,5,3,2,4,8,6] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,4,2,7,6,5,8,3] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[3,1,8,7,5,2,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,8,6,2,4,3,7,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[4,8,3,1,6,2,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,6,5,2,3,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[7,1,5,2,3,6,4,8] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[4,1,6,3,7,2,5,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[4,6,1,2,8,3,7,5] => [[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 3
[4,1,3,6,7,2,5,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,6,5,1,3,4,7,8] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[5,1,6,7,3,2,4,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,2,5,7,8,6,3,4] => [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 2
[1,2,7,8,4,6,3,5] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 2
[7,4,1,2,3,6,8,5] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[5,4,8,6,3,2,1,7] => [[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => 6
[1,8,5,3,2,4,6,7] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[1,6,7,3,4,2,5,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,6,8,3,4,2,5,7] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,8,7,5,3,4,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,7,8,5,3,4,2,6] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[1,7,6,8,4,2,3,5] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,7,8,6,4,3,2,5] => [.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[9,7,8,6,5,4,3,2,1] => [[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 9
[5,1,7,8,4,2,3,6] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[3,8,2,1,6,7,5,4] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[2,1,6,4,7,8,3,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[3,4,5,8,2,1,6,7] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[7,8,1,2,4,6,3,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[6,1,8,3,4,2,5,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,7,6,3,4,5,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[6,1,5,3,8,2,4,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[2,1,3,8,4,5,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[3,1,2,8,5,4,7,6] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[2,1,3,7,8,4,6,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[2,1,3,8,4,7,6,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[3,1,2,8,4,5,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,2,8,7,5,4,6,3] => [.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[6,1,5,8,4,7,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,4,6,8,5,7,2,3] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[6,1,5,4,2,3,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[8,1,6,3,5,2,4,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[5,1,8,4,6,7,3,2] => [[.,.],[[[[.,.],[.,[.,.]]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[8,1,4,6,5,7,2,3] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[8,1,7,5,6,4,2,3] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[5,1,3,2,4,6,8,7] => [[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[3,8,4,7,2,1,6,5] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[1,7,5,2,6,8,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,5,4,3,8,7,2,6] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,5,8,2,6,4,3,7] => [.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[3,5,6,2,4,7,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[3,2,5,6,7,8,9,1,4] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[6,1,8,4,3,5,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[5,1,6,4,8,2,3,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,1,4,2,5,3,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[4,1,8,3,5,2,6,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,1,8,2,5,4,6,7] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,4,8,6,7,2,5,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,5,7,3,8,2,6] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[3,5,6,8,2,1,4,7] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[1,7,3,6,5,8,2,4] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[7,5,3,8,6,2,1,4] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[5,1,2,8,6,7,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,7,6,8,2,3,4] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,7,6,2,4,3,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[7,1,6,2,4,5,3,8] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,7,1,6,2,3,4,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,5,3,4,8,2,6,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[2,1,3,6,5,8,4,7] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[5,1,2,8,6,3,7,4] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,5,7,8,4,2,3] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[8,1,6,5,2,7,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,7,3,2,4,8,6,5] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,7,5,3,8,6,2,4] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[8,1,2,4,3,5,7,6] => [[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[3,1,7,4,8,6,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,1,8,2,6,5,4,7] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,2,4,8,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[2,1,8,5,3,4,6,7] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,7,8,5,6,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[1,6,2,3,5,8,4,7] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,8,5,6,4,3,7,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[4,6,2,5,1,7,8,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,8,3,6,4,2,7,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[2,1,7,4,8,5,3,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[8,1,7,3,2,5,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,2,5,7,4,6,3] => [[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 3
[6,1,2,4,7,8,3,5] => [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 3
[3,5,2,1,7,8,6,4] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,2,7,8,6,4,5,3] => [.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[4,8,1,2,6,5,3,7] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,3,2,4,8,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[7,1,8,3,2,6,5,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,4,6,8,7,3,5,2] => [.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 2
[1,4,7,5,8,6,2,3] => [.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 2
[2,3,4,7,8,9,1,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,3,6,7,8,9,1,4,5] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[2,5,6,7,8,9,1,3,4] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,7,4,5,8,3,6,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[4,8,2,6,1,5,7,3] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[5,6,2,7,8,3,1,4] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[3,7,8,5,1,4,6,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,2,8,7,4,6,5,3] => [.,[.,[[[[.,.],.],[[.,.],.]],.]]] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[5,1,4,8,7,3,6,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,3,7,6,2,4,8,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,3,8,2,7,4,6,5] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,6,5,3,2,4,8,7] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,7,3,5,2,4,8,6] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,4,3,2,6,8,7] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,6,8,7,5,2,3,4] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,3,6,2,5,4,8,7] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[4,6,7,5,1,3,8,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,6,3,8,4,7,2,5] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[8,1,5,2,4,7,3,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,3,4,8,5,6,2,7] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[7,3,2,1,5,4,8,6] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,3,6,5,2,4,7,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[4,1,2,8,7,3,6,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[6,1,2,4,3,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[8,1,3,7,6,4,5,2] => [[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[5,1,8,4,2,3,7,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[8,1,2,6,7,5,4,3] => [[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[8,1,7,6,4,5,2,3] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[8,1,2,7,6,4,5,3] => [[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[8,1,4,7,3,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,8,2,4,7,5,6,3] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,8,2,3,5,6,4,7] => [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,4,7,6,2,3,5,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,7,6,2,3,8,4,5] => [.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 2
[1,8,2,3,7,6,4,5] => [.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,7,3,8,6,2,5,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,5,6,4,8,2,7] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,7,6,2,5,4,8,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[3,1,5,6,4,2,7,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[8,1,6,4,3,5,2,7] => [[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[2,1,6,5,3,8,7,4] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[6,1,4,3,7,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[4,6,8,5,1,3,7,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,5,1,6,8,3,7,2] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,7,4,5,2,6,8,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,4,2,6,5,3,8,7] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[3,1,5,8,4,6,2,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,4,8,3,5,6,2,7] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,8,7,4,2,3,6,5] => [.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[4,1,6,3,2,5,7,8] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[3,6,1,5,2,4,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[2,7,1,5,3,4,6,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,5,8,7,4,2,3,6] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,2,4,5,8,6,3] => [.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,4,6,8,7,2,5,3] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,6,2,7,5,3,4,8] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,3,7,2,6,4,5,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,7,3,2,8,5,6,4] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,6,5,2,4,8,3,7] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,7,3,8,4,2,5,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[1,6,2,4,7,5,8,3] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,6,2,7,4,3,8,5] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,5,8,2,3,6,4,7] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,7,3,8,5,6,4] => [.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,5,7,4,3,8,6,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[8,4,3,1,7,6,5,2] => [[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => 5
[1,2,6,7,5,3,4,8] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[3,4,5,6,7,9,1,8,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,5,6,8,2,7,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[3,4,5,6,7,9,2,8,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[1,5,6,7,3,4,2,8] => [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 2
[1,6,7,8,2,4,5,3] => [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,5,2,7,8,6,1,3] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[1,3,5,8,7,2,6,4] => [.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 2
[4,1,3,8,7,5,2,6] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[6,8,4,1,5,7,3,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[8,1,6,2,3,7,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,8,7,3,2,6,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,7,8,4,3,6,5,2] => [.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[1,7,8,3,6,5,4,2] => [.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[1,8,5,3,7,6,2,4] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,1,4,2,7,8,3,5] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[5,1,3,2,6,8,4,7] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,4,3,7,6,2,8,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,6,2,5,7,3,8,4] => [.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,4,3,8,2,5,7,6] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,5,7,3,6,4,2,8] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[1,6,7,2,4,8,3,5] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,6,8,4,3,5,7] => [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 2
[8,1,3,5,6,4,7,2] => [[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 3
[5,8,6,4,7,3,2,1] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 6
[8,1,7,4,2,5,3,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,5,3,2,6,7,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,5,2,4,6,7,3] => [[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[2,1,8,5,4,3,7,6] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[9,10,6,7,4,5,2,3,1,8] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[5,2,4,7,8,1,3,6] => [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,7,8,5,4,6,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[1,3,6,4,8,2,7,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,6,2,8,5,3,4] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,5,8,6,4,7,2,3] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[6,8,4,5,1,3,7,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,6,8,3,2,4,5,7] => [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 2
[1,6,5,7,4,2,8,3] => [.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,2,7,4,8,5,6,3] => [.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 2
[8,1,4,7,3,5,6,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[8,1,4,5,7,3,6,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,5,8,2,4,3,7,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,8,5,7,2,3,6] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,8,7,3,2,4,5,6] => [.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 2
[5,1,6,7,8,3,2,4] => [[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,5,6,3,7,2,4,8] => [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,6,7,4,2,3,8] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[5,1,6,7,3,4,2,8] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,7,8,3,6,5,2,4] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[7,1,2,8,4,6,5,3] => [[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,4,3,6,8,5,2,7] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[8,1,5,7,4,6,2,3] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,4,5,7,2,1,6,8] => [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[3,4,5,6,8,9,1,7,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,4,6,7,8,9,1,5,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,5,6,7,8,9,1,4,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[4,5,6,7,8,9,1,3,2] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,2,4,6,5,8,3,7] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[5,1,4,3,8,2,6,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,7,8,6,1,4,5,2] => [[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,7,8,2,1,5,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,1,6,7,8,2,5,3] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[3,1,8,2,4,6,5,7] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[8,1,7,6,2,5,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,8,1,3,6,7,5,2] => [[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[8,1,4,7,5,2,6,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,4,8,6,7,3,5,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[4,1,6,7,8,5,3,2] => [[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[3,8,2,6,7,5,1,4] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[6,7,4,1,8,2,5,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[2,1,4,7,8,6,3,5] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,8,5,6,4,2,3,7] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,8,7,6,2,4,5,3] => [.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,6,4,7,2,5,8,3] => [.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 2
[1,7,5,6,4,8,2,3] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[7,1,3,8,2,6,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,8,5,1,2,4,6,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[8,1,2,4,6,3,7,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[6,1,2,7,8,4,3,5] => [[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 3
[7,8,1,2,5,3,4,6] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,8,4,7,5,2,3,6] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[3,1,6,7,5,2,4,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[4,1,7,5,2,6,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[7,1,5,3,6,8,2,4] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[5,1,8,6,7,3,4,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,4,8,3,2,6,5,7] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[1,3,8,4,2,7,5,6] => [.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 2
[8,1,3,2,7,5,4,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[8,9,6,10,5,7,2,4,1,3] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[6,7,4,8,3,5,2,10,1,9] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[10,11,7,8,6,12,5,9,2,4,1,3] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[8,9,5,6,4,10,3,7,2,12,1,11] => [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 7
[1,7,5,4,8,6,2,3] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,6,3,7,2,4,8,5] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[8,6,7,5,4,3,2,1,9] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8
[8,7,9,6,5,4,3,1,2] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8
[9,7,8,6,5,4,3,1,2] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8
[7,1,6,5,4,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[7,1,8,4,2,3,6,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[4,5,6,8,2,1,7,3] => [[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[4,5,8,3,2,1,7,6] => [[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => 5
[4,5,1,3,2,6,7,8] => [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[6,1,3,4,5,2,7,8] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[7,1,3,4,5,6,2,8] => [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[7,5,3,6,4,2,1,8] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,3,6,7,5,2,4,8] => [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 2
[1,5,2,6,8,7,3,4] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,5,7,4,8,6,2,3] => [.,[[[.,[.,.]],[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 2
[6,1,5,7,3,8,2,4] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,2,7,8,6,4,3,5] => [.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[5,6,4,7,3,8,2,10,1,9] => [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] => 6
[1,6,4,2,7,3,8,5] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[5,8,1,2,4,6,3,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[5,1,7,3,6,4,2,8] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,3,1,7,5,4,2,8] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,4,7,5,6,2,8,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,4,8,3,5,6,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[8,1,5,7,6,3,2,4] => [[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,8,6,7,5,3,2,4] => [.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[6,1,4,2,3,5,7,8] => [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 3
[7,1,4,3,8,6,5,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,3,7,6,8,4,5,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[6,1,5,7,2,8,3,4] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,8,7,2,5,6,3,4] => [.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 2
[1,8,2,6,7,4,3,5] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,8,7,6,3,5,4,2] => [.,[[[[[.,.],.],.],[[.,.],.]],.]] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 2
[1,8,5,7,6,4,3,2] => [.,[[[[[.,.],[[.,.],.]],.],.],.]] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 2
[1,4,7,2,5,3,6,8] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[4,1,5,3,2,7,6,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[6,1,5,3,7,2,4,8] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,8,7,5,4,2,1,3] => [[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => 6
[1,8,2,6,7,5,4,3] => [.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[3,8,6,1,2,4,5,7] => [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => 3
[1,8,5,3,2,7,4,6] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,8,4,7,2,3,5,6] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[7,1,5,6,2,3,4,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,6,8,2,7,3,4,5] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,6,8,7,3,4,2,5] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[4,1,2,6,7,8,5,3] => [[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 3
[3,7,8,2,1,4,5,6] => [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => 4
[1,5,4,7,8,3,6,2] => [.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 2
[5,1,4,7,8,3,6,2] => [[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,7,4,5,6,8,3,2] => [.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 2
[1,4,3,5,6,8,2,7] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[1,4,6,5,8,2,7,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,3,6,4,2,8,5] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,6,4,2,3,5,8,7] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,8,4,7,5,3,2] => [.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[7,1,8,2,4,5,3,6] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[7,8,4,6,1,3,5,2] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,5,4,8,7,3,2,6] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,1,5,2,8,7,4,3] => [[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 3
[1,4,7,2,6,5,8,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,5,7,2,6,4,8,3] => [.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,2,7,8,3,5,4,6] => [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,7,6,2,8,5,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,7,8,3,4,6,5] => [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,7,6,8,3,4,2,5] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[5,1,3,4,8,2,7,6] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,1,5,6,3,8,7,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,8,7,3,5,2,6,4] => [.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[3,1,8,2,6,5,7,4] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,7,2,1,8,6,5,3] => [[[.,[.,.]],.],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => 4
[1,7,3,4,8,5,2,6] => [.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 2
[1,7,3,8,5,4,2,6] => [.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[2,8,6,4,3,1,7,5] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[1,7,3,4,8,2,5,6] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,5,8,3,4,6,2,7] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[1,3,8,4,2,5,7,6] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,4,7,6,2,3,8,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,8,4,6,7,2,3,5] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[1,4,2,3,7,8,6,5] => [.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 2
[1,4,3,6,2,5,8,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,6,5,8,2,4,7] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,4,6,3,2,8,5,7] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[8,1,4,6,2,5,7,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,1,4,8,5,3,7,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,5,8,3,4,7,2,6] => [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 2
[4,1,3,8,5,7,6,2] => [[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,3,7,2,8,6,5] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[4,6,3,1,7,2,8,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[1,6,3,2,8,7,4,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,9,8,7,6,4,3,2,5] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2
[1,9,8,7,5,4,3,2,6] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2
[1,9,8,6,5,4,3,2,7] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2
[1,9,7,6,5,4,3,2,8] => [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 2
[1,10,9,8,7,6,5,3,2,4] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[1,10,9,8,7,6,4,3,2,5] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[1,10,9,8,7,5,4,3,2,6] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[1,10,9,8,6,5,4,3,2,7] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[1,8,4,5,6,3,2,7] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[1,10,9,7,6,5,4,3,2,8] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[1,10,8,7,6,5,4,3,2,9] => [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 2
[1,3,7,8,4,6,2,5] => [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 2
[1,7,4,6,3,5,2,8] => [.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 2
[1,3,6,5,7,2,4,8] => [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,7,2,5,6,4,3,8] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,6,8,5,4,3,7,2] => [.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[1,6,8,5,3,2,7,4] => [.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,3,7,6,8,5,2,4] => [.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 2
[4,1,7,8,6,5,2,3] => [[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,7,6,2,3,8,5,4] => [.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,5,4,3,8,6,2,7] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,3,7,5,8,4,6,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[5,8,1,2,7,6,4,3] => [[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,6,7,4,5,3,2,8] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[1,4,2,6,7,5,3,8] => [.,[[.,.],[[[.,[.,.]],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 2
[1,8,2,4,6,5,3,7] => [.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,4,8,7,2,3,6,5] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[4,1,3,6,5,8,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,8,6,5,2,7,4,3] => [.,[[[[.,.],.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,8,6,2,7,4,3,5] => [.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[4,5,8,7,3,6,2,1] => [[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => 5
[8,1,6,3,7,5,4,2] => [[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[6,1,3,5,7,2,8,4] => [[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,6,7,5,8,4,2,3] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[5,8,7,3,2,1,6,4] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,6,5,7,8,3,2,4] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[1,5,7,2,4,3,8,6] => [.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,7,5,8,4,3,6] => [.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[5,1,3,8,2,7,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[7,1,6,3,2,8,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[8,1,7,2,3,6,5,4] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[7,1,2,6,4,3,8,5] => [[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,4,7,8,3,2,5,6] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[8,1,6,3,2,4,7,5] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,8,2,7,6,3,5,4] => [.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[8,1,6,3,2,7,4,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[2,8,1,3,5,6,4,7] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,6,4,7,8,5,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[4,1,3,6,2,5,8,7] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[7,1,4,6,3,2,5,8] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[1,8,3,7,5,2,6,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[8,1,3,6,5,2,7,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[7,1,3,8,5,2,6,4] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,6,7,5,2,8,4] => [[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[8,6,7,5,2,1,4,3] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[7,1,4,5,2,6,8,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[4,1,6,2,3,8,7,5] => [[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[4,1,7,6,5,2,8,3] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,5,4,8,3,2,6,7] => [.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 2
[1,5,7,6,3,8,2,4] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[2,1,7,8,3,5,4,6] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,5,8,6,7,4,2,3] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[4,8,6,3,2,1,7,5] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[5,1,4,7,6,8,3,2] => [[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[4,1,5,7,8,6,3,2] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3
[3,6,4,7,5,8,2,1] => [[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[8,1,7,3,2,4,5,6] => [[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 3
[1,6,5,2,8,7,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,4,5,7,8,1,9,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[2,3,4,5,7,9,1,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[7,1,4,3,6,8,2,5] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[8,5,1,6,4,3,2,7] => [[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,7,2,8,5,4,6,3] => [.,[[.,.],[[[[.,.],.],[.,.]],.]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[4,1,7,3,2,8,5,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,2,6,3,7,8,5,4] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[6,1,3,7,8,5,4,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[2,8,1,3,7,5,6,4] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,8,7,2,5,6,4,3] => [.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 2
[1,4,7,5,2,3,6,8] => [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[3,1,6,7,2,8,5,4] => [[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,5,3,6,8,4,7,2] => [.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 2
[1,7,4,8,5,3,2,6] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,8,7,5,2,6,3,4] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,7,6,3,4,5,8,2] => [.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 2
[1,8,7,4,5,6,2,3] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[1,8,7,3,6,4,2,5] => [.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[1,4,7,5,8,2,6,3] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,4,7,2,3,6,5,8] => [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,7,2,5,6,3,4,8] => [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,2,6,5,8,3,4,7] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[1,5,8,2,6,3,4,7] => [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[4,1,5,7,2,6,3,8] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,5,6,4,8,3,2,7] => [.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 2
[2,1,5,6,4,8,3,7] => [[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,1,4,7,8,6,2,3] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,6,7,2,8,5,4,3] => [.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,3,2,1,7,8,6,4] => [[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => 5
[1,4,3,2,7,5,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,8,3,5,2,6,4,7] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,8,3,5,7,4,2,6] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[7,1,2,6,4,3,5,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,2,6,5,3,4,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[7,1,2,4,8,6,5,3] => [[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3
[3,5,1,2,6,8,7,4] => [[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[3,1,2,4,8,7,5,6] => [[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 3
[5,4,1,2,3,7,8,6] => [[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,6,7,2,5,8,3,4] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[8,1,2,7,5,3,4,6] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[8,1,6,2,3,7,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[7,1,8,2,3,6,4,5] => [[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[3,5,7,4,2,8,1,6] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[7,1,8,5,3,2,4,6] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[6,8,7,4,5,3,2,1] => [[[[[.,[[.,.],.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => 6
[5,6,1,2,4,7,8,3] => [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[3,8,6,7,5,4,2,1] => [[[.,[[[[.,.],[.,.]],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => 4
[5,8,4,1,3,2,7,6] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,5,2,1,6,3,8,7] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[4,1,2,5,7,6,3,8] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[2,1,3,6,4,8,7,5] => [[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[4,8,1,2,7,5,6,3] => [[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,6,4,3,8,7,5,2] => [.,[[[[.,.],.],[[[.,.],.],.]],.]] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[8,7,5,6,4,1,3,2] => [[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => 6
[3,7,4,6,2,1,8,5] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[5,1,4,8,2,3,7,6] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,2,8,3,4,6,5,7] => [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[8,1,2,7,3,5,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[5,7,1,2,6,3,4,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,2,7,5,6,3,4,8] => [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 2
[5,1,4,7,2,3,6,8] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[4,8,1,2,3,6,5,7] => [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[5,1,6,3,2,7,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[7,1,3,5,4,2,8,6] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,4,8,3,6,2,7,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[6,1,8,5,7,4,2,3] => [[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[7,1,4,3,6,5,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[7,1,5,6,3,4,8,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[6,1,8,5,4,7,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[5,1,6,8,7,2,4,3] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[4,6,5,7,2,1,8,3] => [[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => 4
[3,5,6,7,8,9,2,4,1] => [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[3,4,6,7,8,2,5,1] => [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => 4
[2,4,6,7,8,9,1,3,5] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,6,8,3,4,2,7,5] => [.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 2
[4,1,7,6,2,8,3,5] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[4,1,8,2,7,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[4,1,7,2,8,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,3,5,4,8,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[8,1,5,2,7,4,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,4,2,8,5,3,6] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,4,6,5,3,8,2,7] => [.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 2
[3,1,6,8,7,5,4,2] => [[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3
[3,1,8,7,5,6,4,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[5,1,8,7,6,3,4,2] => [[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,8,7,2,6,4,5,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,8,4,7,6,2,5,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,4,8,7,6,2,5,3] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,4,2,8,5,6,3] => [.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 2
[1,5,3,4,7,2,6,8] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[3,1,8,7,6,2,5,4] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,3,8,6,7,2,5,4] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,5,7,6,8,4,2,3] => [.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 2
[7,1,3,8,6,2,4,5] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[8,1,5,2,6,4,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,8,5,7,2,6,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[4,1,8,2,7,5,6,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,2,4,8,5,7,3,6] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[7,1,4,6,8,5,3,2] => [[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3
[2,7,1,5,6,4,8,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,5,7,8,4,6,3,2] => [.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 2
[1,4,8,5,7,6,3,2] => [.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[2,8,1,5,6,4,7,3] => [[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[3,7,2,8,1,5,6,4] => [[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[3,6,2,1,8,4,7,5] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[3,7,6,5,4,1,8,2] => [[.,[[[[.,.],.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => 3
[8,6,7,4,3,1,5,2] => [[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => 6
[6,1,5,4,2,7,3,8] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[3,1,2,7,6,4,5,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[5,1,2,7,6,3,4,8] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[3,5,6,8,1,2,7,4] => [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,6,1,3,5,4,7,8] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[6,1,5,4,2,7,8,3] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[5,1,8,6,2,7,4,3] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[5,6,4,1,7,2,8,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[8,1,6,3,4,2,5,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[8,7,9,6,5,4,2,1,3] => [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => 8
[1,6,4,5,7,3,2,8] => [.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 2
[1,6,4,5,7,2,8,3] => [.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 2
[1,7,5,6,4,8,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[1,5,6,7,3,2,4,8] => [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 2
[7,1,6,8,3,2,4,5] => [[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 3
[7,6,4,8,5,3,1,2] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[1,3,8,6,5,2,7,4] => [.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,2,8,5,7,4,6,3] => [.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,6,8,5,4,7,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[8,1,5,3,4,7,2,6] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[6,1,8,7,4,5,3,2] => [[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,5,8,6,4,3,7,2] => [.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[5,8,6,4,2,1,7,3] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[5,1,4,6,2,7,8,3] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,2,5,3,7,8,6,4] => [.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[6,1,3,7,2,8,4,5] => [[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[3,1,5,8,2,6,7,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[2,1,3,7,5,8,4,6] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,2,3,4,5,6,9,1,8] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[6,1,7,3,8,4,5,2] => [[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,8,7,2,3,4,6,5] => [.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 2
[1,8,3,7,6,2,5,4] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[1,3,8,2,5,6,4,7] => [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,2,7,4,6,8,5] => [.,[[.,.],[[.,.],[[.,[.,.]],.]]]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,3,8,4,6,2,7,5] => [.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,7,8,4,2,6,3,5] => [.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 2
[4,1,7,8,3,6,5,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,4,6,7,8,9,1,2] => [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,7,5,8,4,3,6,2] => [.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[7,8,1,2,5,4,3,6] => [[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[3,1,5,7,4,8,6,2] => [[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,7,6,8,2,5,3] => [[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,2,6,5,8,3,7,4] => [.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,8,3,1,6,7,4,2] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,7,3,8,2,5,4,6] => [.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 2
[1,6,4,8,2,3,5,7] => [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 2
[1,4,7,3,5,8,6,2] => [.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 2
[5,1,8,6,7,2,3,4] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[6,1,2,4,8,3,7,5] => [[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,6,4,7,5,3,2,8] => [.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,6,5,3,2,7,4,8] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,6,8,7,4,5,3,2] => [.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[1,4,7,5,3,2,6,8] => [.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 2
[1,7,5,4,3,2,8,6] => [.,[[[[[.,.],.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,4,7,5,3,2,8,6] => [.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[1,7,4,6,8,5,3,2] => [.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[8,1,3,6,4,5,2,7] => [[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,4,2,9,8,7,6,5,3] => [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[7,1,2,4,8,3,5,6] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[7,1,5,8,2,3,4,6] => [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,2,4,7,8,5,6,3] => [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 2
[2,1,6,5,8,7,3,4] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,5,4,7,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[3,1,8,4,2,7,6,5] => [[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,3,6,5,2,8,7] => [[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[8,1,6,2,5,4,7,3] => [[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,3,2,5,8,7,4] => [[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[8,1,4,6,5,3,7,2] => [[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[4,6,7,2,3,5,8,1] => [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => 4
[1,8,5,6,2,3,7,4] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,6,8,7,4,5,2] => [.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,5,3,8,4,7,2,6] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[1,7,5,8,6,2,4,3] => [.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,1,2,6,4,8,3,5] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[9,8,7,6,4,3,2,5,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 9
[9,8,7,6,4,3,5,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 9
[9,8,7,6,5,3,4,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 9
[1,8,7,5,4,6,2,3] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[8,1,6,7,4,5,3,2] => [[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[8,1,6,4,7,5,3,2] => [[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 3
[1,6,4,3,5,8,2,7] => [.,[[[[.,.],.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 2
[5,1,4,3,7,8,6,2] => [[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,1,3,7,6,5,2,8] => [[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[8,1,6,2,5,7,4,3] => [[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,8,6,2,4,7,5,3] => [.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 2
[9,8,6,5,4,3,7,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 9
[2,1,3,8,5,4,6,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,7,8,6,3,2,4,5] => [.,[[[[.,[.,.]],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 2
[7,1,2,5,3,8,4,6] => [[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,8,3,4,5,7,2,6] => [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 2
[8,1,5,3,4,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,7,2,4,8,5,6,3] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[1,7,6,8,4,5,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[6,1,7,3,8,2,4,5] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,8,6,4,2,3,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[4,1,3,5,8,2,6,7] => [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 3
[1,8,5,7,4,6,3,2] => [.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[1,4,7,6,8,3,5,2] => [.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 2
[1,7,2,8,6,5,3,4] => [.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,7,6,2,5,3,8,4] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,7,5,2,4,3,8,6] => [.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[9,7,6,5,4,3,2,8,1] => [[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => 9
[3,1,2,5,7,6,8,4] => [[.,.],[.,[[.,[[.,.],[.,.]]],.]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 3
[5,1,7,3,2,6,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,1,2,4,7,3,5,6] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[4,1,7,5,6,8,2,3] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,6,8,7,2,5,4,3] => [.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,4,8,7,6,3,5,2] => [.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[4,6,7,5,2,3,1,8] => [[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,6,4,5,8,7,3,2] => [.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[6,7,2,4,5,3,1,8] => [[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => 4
[8,1,6,2,5,7,3,4] => [[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[6,8,1,2,4,7,3,5] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[8,1,5,3,2,7,4,6] => [[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[10,8,9,7,6,5,4,3,2,1] => [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => 10
[1,6,2,3,8,5,7,4] => [.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 2
[6,8,1,2,7,3,4,5] => [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,6,2,8,7,3,4,5] => [.,[[.,.],[[[.,.],.],[.,[.,.]]]]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,6,8,5,7,4,3,2] => [.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[3,8,1,2,4,7,6,5] => [[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,4,5,7,3,6,8,2] => [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 2
[3,1,8,4,6,2,5,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[3,1,8,4,5,6,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,4,2,8,6,3,5] => [[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,3,5,8,7,4,2] => [.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 2
[4,1,5,7,8,6,2,3] => [[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[6,1,4,8,2,3,7,5] => [[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[2,5,7,8,6,4,1,3] => [[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[8,1,5,3,7,4,2,6] => [[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,2,6,7,8,3,5,4] => [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,2,4,8,6,7,3,5] => [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 2
[8,1,2,6,5,7,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[7,1,2,6,5,8,3,4] => [[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 3
[3,1,5,7,2,6,8,4] => [[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[3,1,7,5,2,6,8,4] => [[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[8,7,4,6,5,3,1,2] => [[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => 6
[8,1,4,3,6,2,5,7] => [[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,6,3,7,8,4,2,5] => [.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 2
[1,4,3,5,8,2,6,7] => [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 2
[2,1,3,8,6,4,5,7] => [[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,3,6,4,5,8,2,7] => [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 2
[6,1,4,3,5,8,2,7] => [[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,4,3,8,6,2,5,7] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[4,1,3,8,6,2,5,7] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,5,4,6,3,8,2] => [[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,7,5,4,3,8,2,6] => [.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[1,6,7,5,4,8,2,3] => [.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 2
[1,8,5,4,2,6,3,7] => [.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[10,8,7,6,5,4,3,2,9,1] => [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => 10
[4,1,5,7,3,6,8,2] => [[.,.],[[[.,[.,.]],[.,[.,.]]],.]] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,4,5,7,6,8,2,3] => [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 2
[5,7,2,1,6,8,4,3] => [[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[5,7,6,3,2,1,8,4] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[1,7,3,5,4,2,6,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[7,1,5,3,2,4,8,6] => [[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[7,1,5,2,4,3,6,8] => [[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,8,3,6,2,4,7,5] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,8,7,5,6,4,2,3] => [.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[1,5,2,4,7,6,8,3] => [.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 2
[8,1,2,4,6,3,5,7] => [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,3,8,6,7,4,5,2] => [.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 2
[8,1,7,6,4,2,3,5] => [[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,8,6,3,7,4,5,2] => [.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 2
[1,4,3,8,5,6,2,7] => [.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 2
[7,8,6,1,4,2,5,3] => [[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => 4
[5,1,3,6,4,2,7,8] => [[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 3
[6,1,2,4,7,5,3,8] => [[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 3
[8,6,2,1,7,3,5,4] => [[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => 5
[1,6,5,7,3,4,8,2] => [.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 2
[7,1,8,4,3,2,6,5] => [[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 3
[1,8,5,2,7,6,4,3] => [.,[[[.,.],.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,7,6,8,2,5,4,3] => [.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[1,7,8,6,2,5,4,3] => [.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[9,7,6,5,4,3,8,2,1] => [[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => 9
[1,6,3,4,2,5,8,7] => [.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 2
[1,5,7,6,2,3,8,4] => [.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,4,3,7,6,2,5,8] => [.,[[[.,.],[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 2
[5,8,6,4,3,1,7,2] => [[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => 5
[4,1,3,7,8,6,5,2] => [[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 2,3,1 6,11,6,1 24,50,35,10,1 120,274,225,85,15,1 720,1764,1624,735,175,21,1
F1=q2
F2=q2+q3
F3=2 q2+3 q3+q4
F4=6 q2+11 q3+6 q4+q5
F5=24 q2+50 q3+35 q4+10 q5+q6
F6=120 q2+274 q3+225 q4+85 q5+15 q6+q7
F7=720 q2+1764 q3+1624 q4+735 q5+175 q6+21 q7+q8
Description
The position of the first down step of a Dyck path.
Map
to Dyck path: up step, left tree, down step, right tree
Description
Return the associated Dyck path, using the bijection 1L0R.
This is given recursively as follows:
This is given recursively as follows:
- a leaf is associated to the empty Dyck Word
- a tree with children l,r is associated with the Dyck path described by 1L0R where L and R are respectively the Dyck words associated with the trees l and r.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length 0 to the empty tree, and sending a permutation σ of length n≥1 to a root node with two subtrees L and R by splitting σ at the index σ−1(1), normalizing both sides again to permutations and sending the permutations on the left and on the right of σ−1(1) to the trees L and R, respectively.
This tree is recursively obtained by sending the unique permutation of length 0 to the empty tree, and sending a permutation σ of length n≥1 to a root node with two subtrees L and R by splitting σ at the index σ−1(1), normalizing both sides again to permutations and sending the permutations on the left and on the right of σ−1(1) to the trees L and R, respectively.
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