Identifier
-
Mp00068:
Permutations
—Simion-Schmidt map⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00012: Binary trees —to Dyck path: up step, left tree, down step, right tree⟶ Dyck paths
St000053: Dyck paths ⟶ ℤ (values match St000015The number of peaks of a Dyck path., St001068Number of torsionless simple modules in the corresponding Nakayama algebra., St001169Number of simple modules with projective dimension at least two in the corresponding Nakayama algebra.)
Values
[1] => [1] => [.,.] => [1,0] => 0
[1,2] => [1,2] => [.,[.,.]] => [1,0,1,0] => 1
[2,1] => [2,1] => [[.,.],.] => [1,1,0,0] => 0
[1,2,3] => [1,3,2] => [.,[[.,.],.]] => [1,0,1,1,0,0] => 1
[1,3,2] => [1,3,2] => [.,[[.,.],.]] => [1,0,1,1,0,0] => 1
[2,1,3] => [2,1,3] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[2,3,1] => [2,3,1] => [[.,[.,.]],.] => [1,1,0,1,0,0] => 1
[3,1,2] => [3,1,2] => [[.,.],[.,.]] => [1,1,0,0,1,0] => 1
[3,2,1] => [3,2,1] => [[[.,.],.],.] => [1,1,1,0,0,0] => 0
[1,2,3,4] => [1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => 1
[1,2,4,3] => [1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => 1
[1,3,2,4] => [1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => 1
[1,3,4,2] => [1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => 1
[1,4,2,3] => [1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => 1
[1,4,3,2] => [1,4,3,2] => [.,[[[.,.],.],.]] => [1,0,1,1,1,0,0,0] => 1
[2,1,3,4] => [2,1,4,3] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 1
[2,1,4,3] => [2,1,4,3] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 1
[2,3,1,4] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[2,3,4,1] => [2,4,3,1] => [[.,[[.,.],.]],.] => [1,1,0,1,1,0,0,0] => 1
[2,4,1,3] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[2,4,3,1] => [2,4,3,1] => [[.,[[.,.],.]],.] => [1,1,0,1,1,0,0,0] => 1
[3,1,2,4] => [3,1,4,2] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 1
[3,1,4,2] => [3,1,4,2] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 1
[3,2,1,4] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 1
[3,2,4,1] => [3,2,4,1] => [[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0] => 1
[3,4,1,2] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [1,1,0,1,0,0,1,0] => 2
[3,4,2,1] => [3,4,2,1] => [[[.,[.,.]],.],.] => [1,1,1,0,1,0,0,0] => 1
[4,1,2,3] => [4,1,3,2] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 1
[4,1,3,2] => [4,1,3,2] => [[.,.],[[.,.],.]] => [1,1,0,0,1,1,0,0] => 1
[4,2,1,3] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 1
[4,2,3,1] => [4,2,3,1] => [[[.,.],[.,.]],.] => [1,1,1,0,0,1,0,0] => 1
[4,3,1,2] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,1,1,0,0,0,1,0] => 1
[4,3,2,1] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,1,1,1,0,0,0,0] => 0
[1,2,3,4,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,2,3,5,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,2,4,3,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,2,4,5,3] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,2,5,3,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,2,5,4,3] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,3,2,4,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,3,2,5,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,3,4,2,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,3,4,5,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,3,5,2,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,3,5,4,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,4,2,3,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,4,2,5,3] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,4,3,2,5] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,4,3,5,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,4,5,2,3] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,4,5,3,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,5,2,3,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,5,2,4,3] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,5,3,2,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,5,3,4,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,5,4,2,3] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,5,4,3,2] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [1,0,1,1,1,1,0,0,0,0] => 1
[2,1,3,4,5] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[2,1,3,5,4] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[2,1,4,3,5] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[2,1,4,5,3] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[2,1,5,3,4] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[2,1,5,4,3] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[2,3,1,4,5] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[2,3,1,5,4] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[2,3,4,1,5] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 2
[2,3,4,5,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => 1
[2,3,5,1,4] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 2
[2,3,5,4,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => 1
[2,4,1,3,5] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[2,4,1,5,3] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[2,4,3,1,5] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 2
[2,4,3,5,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => 1
[2,4,5,1,3] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 2
[2,4,5,3,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => 1
[2,5,1,3,4] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[2,5,1,4,3] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[2,5,3,1,4] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 2
[2,5,3,4,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => 1
[2,5,4,1,3] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 2
[2,5,4,3,1] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,0] => 1
[3,1,2,4,5] => [3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[3,1,2,5,4] => [3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[3,1,4,2,5] => [3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[3,1,4,5,2] => [3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[3,1,5,2,4] => [3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[3,1,5,4,2] => [3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[3,2,1,4,5] => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[3,2,1,5,4] => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[3,2,4,1,5] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[3,2,4,5,1] => [3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 1
[3,2,5,1,4] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[3,2,5,4,1] => [3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 1
[3,4,1,2,5] => [3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[3,4,1,5,2] => [3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[3,4,2,1,5] => [3,5,2,1,4] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => 2
[3,4,2,5,1] => [3,5,2,4,1] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => 2
[3,4,5,1,2] => [3,5,4,1,2] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 2
[3,4,5,2,1] => [3,5,4,2,1] => [[[.,[[.,.],.]],.],.] => [1,1,1,0,1,1,0,0,0,0] => 1
[3,5,1,2,4] => [3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[3,5,1,4,2] => [3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
>>> Load all 5913 entries. <<<[3,5,2,1,4] => [3,5,2,1,4] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => 2
[3,5,2,4,1] => [3,5,2,4,1] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => 2
[3,5,4,1,2] => [3,5,4,1,2] => [[.,[[.,.],.]],[.,.]] => [1,1,0,1,1,0,0,0,1,0] => 2
[3,5,4,2,1] => [3,5,4,2,1] => [[[.,[[.,.],.]],.],.] => [1,1,1,0,1,1,0,0,0,0] => 1
[4,1,2,3,5] => [4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[4,1,2,5,3] => [4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[4,1,3,2,5] => [4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[4,1,3,5,2] => [4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[4,1,5,2,3] => [4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[4,1,5,3,2] => [4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[4,2,1,3,5] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[4,2,1,5,3] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[4,2,3,1,5] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[4,2,3,5,1] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 1
[4,2,5,1,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[4,2,5,3,1] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 1
[4,3,1,2,5] => [4,3,1,5,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[4,3,1,5,2] => [4,3,1,5,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[4,3,2,1,5] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 1
[4,3,2,5,1] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => 1
[4,3,5,1,2] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[4,3,5,2,1] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0] => 1
[4,5,1,2,3] => [4,5,1,3,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[4,5,1,3,2] => [4,5,1,3,2] => [[.,[.,.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,0] => 2
[4,5,2,1,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => 2
[4,5,2,3,1] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.] => [1,1,1,0,1,0,0,1,0,0] => 2
[4,5,3,1,2] => [4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [1,1,1,0,1,0,0,0,1,0] => 2
[4,5,3,2,1] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.] => [1,1,1,1,0,1,0,0,0,0] => 1
[5,1,2,3,4] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[5,1,2,4,3] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[5,1,3,2,4] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[5,1,3,4,2] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[5,1,4,2,3] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[5,1,4,3,2] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [1,1,0,0,1,1,1,0,0,0] => 1
[5,2,1,3,4] => [5,2,1,4,3] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[5,2,1,4,3] => [5,2,1,4,3] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[5,2,3,1,4] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[5,2,3,4,1] => [5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 1
[5,2,4,1,3] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[5,2,4,3,1] => [5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [1,1,1,0,0,1,1,0,0,0] => 1
[5,3,1,2,4] => [5,3,1,4,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[5,3,1,4,2] => [5,3,1,4,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[5,3,2,1,4] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,3,2,4,1] => [5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => 1
[5,3,4,1,2] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,1,1,0,0,1,0,0,1,0] => 2
[5,3,4,2,1] => [5,3,4,2,1] => [[[[.,.],[.,.]],.],.] => [1,1,1,1,0,0,1,0,0,0] => 1
[5,4,1,2,3] => [5,4,1,3,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[5,4,1,3,2] => [5,4,1,3,2] => [[[.,.],.],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,0] => 1
[5,4,2,1,3] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,4,2,3,1] => [5,4,2,3,1] => [[[[.,.],.],[.,.]],.] => [1,1,1,1,0,0,0,1,0,0] => 1
[5,4,3,1,2] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,1,1,1,0,0,0,0,1,0] => 1
[5,4,3,2,1] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,1,1,1,1,0,0,0,0,0] => 0
[1,2,3,4,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,3,4,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,3,5,4,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,3,5,6,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,3,6,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,3,6,5,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,4,3,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,4,3,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,4,5,3,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,4,5,6,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,4,6,3,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,4,6,5,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,5,3,4,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,5,3,6,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,5,4,3,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,5,4,6,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,5,6,3,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,5,6,4,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,6,3,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,6,3,5,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,6,4,3,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,6,4,5,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,6,5,3,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,2,6,5,4,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,2,4,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,2,4,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,2,5,4,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,2,5,6,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,2,6,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,2,6,5,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,4,2,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,4,2,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,4,5,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,4,5,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,4,6,2,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,4,6,5,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,5,2,4,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,5,2,6,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,5,4,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,5,4,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,5,6,2,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,5,6,4,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,6,2,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,6,2,5,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,6,4,2,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,6,4,5,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,6,5,2,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,3,6,5,4,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,2,3,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,2,3,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,2,5,3,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,2,5,6,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,2,6,3,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,2,6,5,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,3,2,5,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,3,2,6,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,3,5,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,3,5,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,3,6,2,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,3,6,5,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,5,2,3,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,5,2,6,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,5,3,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,5,3,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,5,6,2,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,5,6,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,6,2,3,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,6,2,5,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,6,3,2,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,6,3,5,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,6,5,2,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,4,6,5,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,2,3,4,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,2,3,6,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,2,4,3,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,2,4,6,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,2,6,3,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,2,6,4,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,3,2,4,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,3,2,6,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,3,4,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,3,4,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,3,6,2,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,3,6,4,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,4,2,3,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,4,2,6,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,4,3,2,6] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,4,3,6,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,4,6,2,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,4,6,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,6,2,3,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,6,2,4,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,6,3,2,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,6,3,4,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,6,4,2,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,5,6,4,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,2,3,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,2,3,5,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,2,4,3,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,2,4,5,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,2,5,3,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,2,5,4,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,3,2,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,3,2,5,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,3,4,2,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,3,4,5,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,3,5,2,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,3,5,4,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,4,2,3,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,4,2,5,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,4,3,2,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,4,3,5,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,4,5,2,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,4,5,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,5,2,3,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,5,2,4,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,5,3,2,4] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,5,3,4,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,5,4,2,3] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,6,5,4,3,2] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,4,5,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,3,4,6,5] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,3,5,4,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,3,5,6,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,3,6,4,5] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,3,6,5,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,4,3,5,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,4,3,6,5] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,4,5,3,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,4,5,6,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,4,6,3,5] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,4,6,5,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,5,3,4,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,5,3,6,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,5,4,3,6] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,5,4,6,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,5,6,3,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,5,6,4,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,6,3,4,5] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,6,3,5,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,6,4,3,5] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,6,4,5,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,6,5,3,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,1,6,5,4,3] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[2,3,1,4,5,6] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,3,1,4,6,5] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,3,1,5,4,6] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,3,1,5,6,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,3,1,6,4,5] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,3,1,6,5,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,3,4,1,5,6] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,3,4,1,6,5] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,3,4,5,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,3,4,5,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,3,4,6,1,5] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,3,4,6,5,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,3,5,1,4,6] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,3,5,1,6,4] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,3,5,4,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,3,5,4,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,3,5,6,1,4] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,3,5,6,4,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,3,6,1,4,5] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,3,6,1,5,4] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,3,6,4,1,5] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,3,6,4,5,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,3,6,5,1,4] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,3,6,5,4,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,4,1,3,5,6] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,4,1,3,6,5] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,4,1,5,3,6] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,4,1,5,6,3] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,4,1,6,3,5] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,4,1,6,5,3] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,4,3,1,5,6] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,4,3,1,6,5] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,4,3,5,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,4,3,5,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,4,3,6,1,5] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,4,3,6,5,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,4,5,1,3,6] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,4,5,1,6,3] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,4,5,3,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,4,5,3,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,4,5,6,1,3] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,4,5,6,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,4,6,1,3,5] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,4,6,1,5,3] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,4,6,3,1,5] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,4,6,3,5,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,4,6,5,1,3] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,4,6,5,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,5,1,3,4,6] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,5,1,3,6,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,5,1,4,3,6] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,5,1,4,6,3] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,5,1,6,3,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,5,1,6,4,3] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,5,3,1,4,6] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,5,3,1,6,4] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,5,3,4,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,5,3,4,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,5,3,6,1,4] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,5,3,6,4,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,5,4,1,3,6] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,5,4,1,6,3] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,5,4,3,1,6] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,5,4,3,6,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,5,4,6,1,3] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,5,4,6,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,5,6,1,3,4] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,5,6,1,4,3] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,5,6,3,1,4] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,5,6,3,4,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,5,6,4,1,3] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,5,6,4,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,6,1,3,4,5] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,6,1,3,5,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,6,1,4,3,5] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,6,1,4,5,3] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,6,1,5,3,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,6,1,5,4,3] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,6,3,1,4,5] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,6,3,1,5,4] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,6,3,4,1,5] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,6,3,4,5,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,6,3,5,1,4] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,6,3,5,4,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,6,4,1,3,5] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,6,4,1,5,3] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,6,4,3,1,5] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,6,4,3,5,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,6,4,5,1,3] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,6,4,5,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,6,5,1,3,4] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,6,5,1,4,3] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[2,6,5,3,1,4] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,6,5,3,4,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[2,6,5,4,1,3] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,6,5,4,3,1] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,4,5,6] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,2,4,6,5] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,2,5,4,6] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,2,5,6,4] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,2,6,4,5] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,2,6,5,4] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,4,2,5,6] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,4,2,6,5] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,4,5,2,6] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,4,5,6,2] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,4,6,2,5] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,4,6,5,2] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,5,2,4,6] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,5,2,6,4] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,5,4,2,6] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,5,4,6,2] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,5,6,2,4] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,5,6,4,2] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,6,2,4,5] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,6,2,5,4] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,6,4,2,5] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,6,4,5,2] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,6,5,2,4] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,1,6,5,4,2] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,4,5,6] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[3,2,1,4,6,5] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[3,2,1,5,4,6] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[3,2,1,5,6,4] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[3,2,1,6,4,5] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[3,2,1,6,5,4] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[3,2,4,1,5,6] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,2,4,1,6,5] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,2,4,5,1,6] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,2,4,5,6,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[3,2,4,6,1,5] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,2,4,6,5,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[3,2,5,1,4,6] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,2,5,1,6,4] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,2,5,4,1,6] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,2,5,4,6,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[3,2,5,6,1,4] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,2,5,6,4,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[3,2,6,1,4,5] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,2,6,1,5,4] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[3,2,6,4,1,5] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,2,6,4,5,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[3,2,6,5,1,4] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[3,2,6,5,4,1] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[3,4,1,2,5,6] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,4,1,2,6,5] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,4,1,5,2,6] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,4,1,5,6,2] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,4,1,6,2,5] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,4,1,6,5,2] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,4,2,1,5,6] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[3,4,2,1,6,5] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[3,4,2,5,1,6] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,4,2,5,6,1] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[3,4,2,6,1,5] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,4,2,6,5,1] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[3,4,5,1,2,6] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,4,5,1,6,2] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,4,5,2,1,6] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[3,4,5,2,6,1] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[3,4,5,6,1,2] => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[3,4,5,6,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => 1
[3,4,6,1,2,5] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,4,6,1,5,2] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,4,6,2,1,5] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[3,4,6,2,5,1] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[3,4,6,5,1,2] => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[3,4,6,5,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => 1
[3,5,1,2,4,6] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,5,1,2,6,4] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,5,1,4,2,6] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,5,1,4,6,2] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,5,1,6,2,4] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,5,1,6,4,2] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,5,2,1,4,6] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[3,5,2,1,6,4] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[3,5,2,4,1,6] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,5,2,4,6,1] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[3,5,2,6,1,4] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,5,2,6,4,1] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[3,5,4,1,2,6] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,5,4,1,6,2] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,5,4,2,1,6] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[3,5,4,2,6,1] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[3,5,4,6,1,2] => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[3,5,4,6,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => 1
[3,5,6,1,2,4] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,5,6,1,4,2] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,5,6,2,1,4] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[3,5,6,2,4,1] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[3,5,6,4,1,2] => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[3,5,6,4,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => 1
[3,6,1,2,4,5] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,1,2,5,4] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,1,4,2,5] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,1,4,5,2] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,1,5,2,4] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,1,5,4,2] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,2,1,4,5] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[3,6,2,1,5,4] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[3,6,2,4,1,5] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,6,2,4,5,1] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[3,6,2,5,1,4] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[3,6,2,5,4,1] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[3,6,4,1,2,5] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,6,4,1,5,2] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,6,4,2,1,5] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[3,6,4,2,5,1] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[3,6,4,5,1,2] => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[3,6,4,5,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => 1
[3,6,5,1,2,4] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,6,5,1,4,2] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[3,6,5,2,1,4] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[3,6,5,2,4,1] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[3,6,5,4,1,2] => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[3,6,5,4,2,1] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [1,1,1,0,1,1,1,0,0,0,0,0] => 1
[4,1,2,3,5,6] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,2,3,6,5] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,2,5,3,6] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,2,5,6,3] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,2,6,3,5] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,2,6,5,3] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,3,2,5,6] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,3,2,6,5] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,3,5,2,6] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,3,5,6,2] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,3,6,2,5] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,3,6,5,2] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,5,2,3,6] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,5,2,6,3] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,5,3,2,6] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,5,3,6,2] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,5,6,2,3] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,5,6,3,2] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,6,2,3,5] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,6,2,5,3] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,6,3,2,5] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,6,3,5,2] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,6,5,2,3] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,1,6,5,3,2] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,3,5,6] => [4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,2,1,3,6,5] => [4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,2,1,5,3,6] => [4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,2,1,5,6,3] => [4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,2,1,6,3,5] => [4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,2,1,6,5,3] => [4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,2,3,1,5,6] => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,2,3,1,6,5] => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,2,3,5,1,6] => [4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,2,3,5,6,1] => [4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[4,2,3,6,1,5] => [4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,2,3,6,5,1] => [4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[4,2,5,1,3,6] => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,2,5,1,6,3] => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,2,5,3,1,6] => [4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,2,5,3,6,1] => [4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[4,2,5,6,1,3] => [4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,2,5,6,3,1] => [4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[4,2,6,1,3,5] => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,2,6,1,5,3] => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,2,6,3,1,5] => [4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,2,6,3,5,1] => [4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[4,2,6,5,1,3] => [4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,2,6,5,3,1] => [4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[4,3,1,2,5,6] => [4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,3,1,2,6,5] => [4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,3,1,5,2,6] => [4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,3,1,5,6,2] => [4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,3,1,6,2,5] => [4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,3,1,6,5,2] => [4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[4,3,2,1,5,6] => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[4,3,2,1,6,5] => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[4,3,2,5,1,6] => [4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[4,3,2,5,6,1] => [4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[4,3,2,6,1,5] => [4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[4,3,2,6,5,1] => [4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[4,3,5,1,2,6] => [4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,3,5,1,6,2] => [4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,3,5,2,1,6] => [4,3,6,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[4,3,5,2,6,1] => [4,3,6,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[4,3,5,6,1,2] => [4,3,6,5,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,3,5,6,2,1] => [4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 1
[4,3,6,1,2,5] => [4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,3,6,1,5,2] => [4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[4,3,6,2,1,5] => [4,3,6,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[4,3,6,2,5,1] => [4,3,6,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[4,3,6,5,1,2] => [4,3,6,5,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[4,3,6,5,2,1] => [4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 1
[4,5,1,2,3,6] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,1,2,6,3] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,1,3,2,6] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,1,3,6,2] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,1,6,2,3] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,1,6,3,2] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,2,1,3,6] => [4,6,2,1,5,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[4,5,2,1,6,3] => [4,6,2,1,5,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[4,5,2,3,1,6] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,5,2,3,6,1] => [4,6,2,5,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[4,5,2,6,1,3] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,5,2,6,3,1] => [4,6,2,5,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[4,5,3,1,2,6] => [4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[4,5,3,1,6,2] => [4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[4,5,3,2,1,6] => [4,6,3,2,1,5] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
[4,5,3,2,6,1] => [4,6,3,2,5,1] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[4,5,3,6,1,2] => [4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,5,3,6,2,1] => [4,6,3,5,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => 2
[4,5,6,1,2,3] => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[4,5,6,1,3,2] => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[4,5,6,2,1,3] => [4,6,5,2,1,3] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[4,5,6,2,3,1] => [4,6,5,2,3,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[4,5,6,3,1,2] => [4,6,5,3,1,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[4,5,6,3,2,1] => [4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0] => 1
[4,6,1,2,3,5] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,6,1,2,5,3] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,6,1,3,2,5] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,6,1,3,5,2] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,6,1,5,2,3] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,6,1,5,3,2] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,6,2,1,3,5] => [4,6,2,1,5,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[4,6,2,1,5,3] => [4,6,2,1,5,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[4,6,2,3,1,5] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,6,2,3,5,1] => [4,6,2,5,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[4,6,2,5,1,3] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,6,2,5,3,1] => [4,6,2,5,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[4,6,3,1,2,5] => [4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[4,6,3,1,5,2] => [4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[4,6,3,2,1,5] => [4,6,3,2,1,5] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
[4,6,3,2,5,1] => [4,6,3,2,5,1] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[4,6,3,5,1,2] => [4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,6,3,5,2,1] => [4,6,3,5,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => 2
[4,6,5,1,2,3] => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[4,6,5,1,3,2] => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[4,6,5,2,1,3] => [4,6,5,2,1,3] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[4,6,5,2,3,1] => [4,6,5,2,3,1] => [[[.,[[.,.],.]],[.,.]],.] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[4,6,5,3,1,2] => [4,6,5,3,1,2] => [[[.,[[.,.],.]],.],[.,.]] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[4,6,5,3,2,1] => [4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.] => [1,1,1,1,0,1,1,0,0,0,0,0] => 1
[5,1,2,3,4,6] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,2,3,6,4] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,2,4,3,6] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,2,4,6,3] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,2,6,3,4] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,2,6,4,3] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,3,2,4,6] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,3,2,6,4] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,3,4,2,6] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,3,4,6,2] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,3,6,2,4] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,3,6,4,2] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,4,2,3,6] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,4,2,6,3] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,4,3,2,6] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,4,3,6,2] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,4,6,2,3] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,4,6,3,2] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,6,2,3,4] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,6,2,4,3] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,6,3,2,4] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,6,3,4,2] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,6,4,2,3] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,1,6,4,3,2] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,3,4,6] => [5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,2,1,3,6,4] => [5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,2,1,4,3,6] => [5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,2,1,4,6,3] => [5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,2,1,6,3,4] => [5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,2,1,6,4,3] => [5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,2,3,1,4,6] => [5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,2,3,1,6,4] => [5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,2,3,4,1,6] => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,2,3,4,6,1] => [5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[5,2,3,6,1,4] => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,2,3,6,4,1] => [5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[5,2,4,1,3,6] => [5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,2,4,1,6,3] => [5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,2,4,3,1,6] => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,2,4,3,6,1] => [5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[5,2,4,6,1,3] => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,2,4,6,3,1] => [5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[5,2,6,1,3,4] => [5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,2,6,1,4,3] => [5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,2,6,3,1,4] => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,2,6,3,4,1] => [5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[5,2,6,4,1,3] => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,2,6,4,3,1] => [5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[5,3,1,2,4,6] => [5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,3,1,2,6,4] => [5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,3,1,4,2,6] => [5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,3,1,4,6,2] => [5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,3,1,6,2,4] => [5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,3,1,6,4,2] => [5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,3,2,1,4,6] => [5,3,2,1,6,4] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[5,3,2,1,6,4] => [5,3,2,1,6,4] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[5,3,2,4,1,6] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[5,3,2,4,6,1] => [5,3,2,6,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[5,3,2,6,1,4] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[5,3,2,6,4,1] => [5,3,2,6,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[5,3,4,1,2,6] => [5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,3,4,1,6,2] => [5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,3,4,2,1,6] => [5,3,6,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[5,3,4,2,6,1] => [5,3,6,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[5,3,4,6,1,2] => [5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,3,4,6,2,1] => [5,3,6,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 1
[5,3,6,1,2,4] => [5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,3,6,1,4,2] => [5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,3,6,2,1,4] => [5,3,6,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[5,3,6,2,4,1] => [5,3,6,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[5,3,6,4,1,2] => [5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[5,3,6,4,2,1] => [5,3,6,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 1
[5,4,1,2,3,6] => [5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,4,1,2,6,3] => [5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,4,1,3,2,6] => [5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,4,1,3,6,2] => [5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,4,1,6,2,3] => [5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,4,1,6,3,2] => [5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[5,4,2,1,3,6] => [5,4,2,1,6,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[5,4,2,1,6,3] => [5,4,2,1,6,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[5,4,2,3,1,6] => [5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[5,4,2,3,6,1] => [5,4,2,6,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[5,4,2,6,1,3] => [5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[5,4,2,6,3,1] => [5,4,2,6,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[5,4,3,1,2,6] => [5,4,3,1,6,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[5,4,3,1,6,2] => [5,4,3,1,6,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[5,4,3,2,1,6] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[5,4,3,2,6,1] => [5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => 1
[5,4,3,6,1,2] => [5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[5,4,3,6,2,1] => [5,4,3,6,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => 1
[5,4,6,1,2,3] => [5,4,6,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,4,6,1,3,2] => [5,4,6,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[5,4,6,2,1,3] => [5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[5,4,6,2,3,1] => [5,4,6,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[5,4,6,3,1,2] => [5,4,6,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[5,4,6,3,2,1] => [5,4,6,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0] => 1
[5,6,1,2,3,4] => [5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,6,1,2,4,3] => [5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,6,1,3,2,4] => [5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,6,1,3,4,2] => [5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,6,1,4,2,3] => [5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,6,1,4,3,2] => [5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,6,2,1,3,4] => [5,6,2,1,4,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[5,6,2,1,4,3] => [5,6,2,1,4,3] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[5,6,2,3,1,4] => [5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,6,2,3,4,1] => [5,6,2,4,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[5,6,2,4,1,3] => [5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,6,2,4,3,1] => [5,6,2,4,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [1,1,1,0,1,0,0,1,1,0,0,0] => 2
[5,6,3,1,2,4] => [5,6,3,1,4,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[5,6,3,1,4,2] => [5,6,3,1,4,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[5,6,3,2,1,4] => [5,6,3,2,1,4] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
[5,6,3,2,4,1] => [5,6,3,2,4,1] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[5,6,3,4,1,2] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[5,6,3,4,2,1] => [5,6,3,4,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [1,1,1,1,0,1,0,0,1,0,0,0] => 2
[5,6,4,1,2,3] => [5,6,4,1,3,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[5,6,4,1,3,2] => [5,6,4,1,3,2] => [[[.,[.,.]],.],[[.,.],.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[5,6,4,2,1,3] => [5,6,4,2,1,3] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
[5,6,4,2,3,1] => [5,6,4,2,3,1] => [[[[.,[.,.]],.],[.,.]],.] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[5,6,4,3,1,2] => [5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
[5,6,4,3,2,1] => [5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.] => [1,1,1,1,1,0,1,0,0,0,0,0] => 1
[6,1,2,3,4,5] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,2,3,5,4] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,2,4,3,5] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,2,4,5,3] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,2,5,3,4] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,2,5,4,3] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,3,2,4,5] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,3,2,5,4] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,3,4,2,5] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,3,4,5,2] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,3,5,2,4] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,3,5,4,2] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,4,2,3,5] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,4,2,5,3] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,4,3,2,5] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,4,3,5,2] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,4,5,2,3] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,4,5,3,2] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,5,2,3,4] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,5,2,4,3] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,5,3,2,4] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,5,3,4,2] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,5,4,2,3] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,1,5,4,3,2] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,1,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,3,4,5] => [6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,2,1,3,5,4] => [6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,2,1,4,3,5] => [6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,2,1,4,5,3] => [6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,2,1,5,3,4] => [6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,2,1,5,4,3] => [6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,2,3,1,4,5] => [6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,2,3,1,5,4] => [6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,2,3,4,1,5] => [6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,2,3,4,5,1] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[6,2,3,5,1,4] => [6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,2,3,5,4,1] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[6,2,4,1,3,5] => [6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,2,4,1,5,3] => [6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,2,4,3,1,5] => [6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,2,4,3,5,1] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[6,2,4,5,1,3] => [6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,2,4,5,3,1] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[6,2,5,1,3,4] => [6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,2,5,1,4,3] => [6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,2,5,3,1,4] => [6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,2,5,3,4,1] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[6,2,5,4,1,3] => [6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,2,5,4,3,1] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,1,1,0,0,1,1,1,0,0,0,0] => 1
[6,3,1,2,4,5] => [6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,3,1,2,5,4] => [6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,3,1,4,2,5] => [6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,3,1,4,5,2] => [6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,3,1,5,2,4] => [6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,3,1,5,4,2] => [6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,3,2,1,4,5] => [6,3,2,1,5,4] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,3,2,1,5,4] => [6,3,2,1,5,4] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,3,2,4,1,5] => [6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,3,2,4,5,1] => [6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[6,3,2,5,1,4] => [6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,3,2,5,4,1] => [6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[6,3,4,1,2,5] => [6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,3,4,1,5,2] => [6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,3,4,2,1,5] => [6,3,5,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[6,3,4,2,5,1] => [6,3,5,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[6,3,4,5,1,2] => [6,3,5,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,3,4,5,2,1] => [6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 1
[6,3,5,1,2,4] => [6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,3,5,1,4,2] => [6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,3,5,2,1,4] => [6,3,5,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[6,3,5,2,4,1] => [6,3,5,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[6,3,5,4,1,2] => [6,3,5,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,1,1,0,0,1,1,0,0,0,1,0] => 2
[6,3,5,4,2,1] => [6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,1,1,1,0,0,1,1,0,0,0,0] => 1
[6,4,1,2,3,5] => [6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,4,1,2,5,3] => [6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,4,1,3,2,5] => [6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,4,1,3,5,2] => [6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,4,1,5,2,3] => [6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,4,1,5,3,2] => [6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,4,2,1,3,5] => [6,4,2,1,5,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,4,2,1,5,3] => [6,4,2,1,5,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,4,2,3,1,5] => [6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,4,2,3,5,1] => [6,4,2,5,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[6,4,2,5,1,3] => [6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,4,2,5,3,1] => [6,4,2,5,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[6,4,3,1,2,5] => [6,4,3,1,5,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,4,3,1,5,2] => [6,4,3,1,5,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,4,3,2,1,5] => [6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,4,3,2,5,1] => [6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => 1
[6,4,3,5,1,2] => [6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,4,3,5,2,1] => [6,4,3,5,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => 1
[6,4,5,1,2,3] => [6,4,5,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,4,5,1,3,2] => [6,4,5,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[6,4,5,2,1,3] => [6,4,5,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[6,4,5,2,3,1] => [6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[6,4,5,3,1,2] => [6,4,5,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[6,4,5,3,2,1] => [6,4,5,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [1,1,1,1,1,0,0,1,0,0,0,0] => 1
[6,5,1,2,3,4] => [6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,5,1,2,4,3] => [6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,5,1,3,2,4] => [6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,5,1,3,4,2] => [6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,5,1,4,2,3] => [6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,5,1,4,3,2] => [6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,1,1,0,0,0,1,1,1,0,0,0] => 1
[6,5,2,1,3,4] => [6,5,2,1,4,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,5,2,1,4,3] => [6,5,2,1,4,3] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,5,2,3,1,4] => [6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,5,2,3,4,1] => [6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[6,5,2,4,1,3] => [6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,5,2,4,3,1] => [6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,1,1,1,0,0,0,1,1,0,0,0] => 1
[6,5,3,1,2,4] => [6,5,3,1,4,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,5,3,1,4,2] => [6,5,3,1,4,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,5,3,2,1,4] => [6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,5,3,2,4,1] => [6,5,3,2,4,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => 1
[6,5,3,4,1,2] => [6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[6,5,3,4,2,1] => [6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,1,1,1,1,0,0,0,1,0,0,0] => 1
[6,5,4,1,2,3] => [6,5,4,1,3,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,5,4,1,3,2] => [6,5,4,1,3,2] => [[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => 1
[6,5,4,2,1,3] => [6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,5,4,2,3,1] => [6,5,4,2,3,1] => [[[[[.,.],.],.],[.,.]],.] => [1,1,1,1,1,0,0,0,0,1,0,0] => 1
[6,5,4,3,1,2] => [6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
[6,5,4,3,2,1] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,2,3,4,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,4,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,4,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,4,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,4,7,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,4,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,5,4,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,5,4,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,5,6,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,5,6,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,5,7,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,5,7,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,6,4,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,6,4,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,6,5,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,6,5,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,6,7,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,6,7,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,7,4,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,7,4,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,7,5,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,7,5,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,7,6,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,3,7,6,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,3,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,3,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,3,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,3,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,3,7,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,3,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,5,3,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,5,3,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,5,6,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,5,6,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,5,7,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,5,7,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,6,3,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,6,3,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,6,5,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,6,5,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,6,7,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,6,7,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,7,3,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,7,3,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,7,5,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,7,5,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,7,6,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,4,7,6,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,3,4,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,3,4,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,3,6,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,3,6,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,3,7,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,3,7,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,4,3,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,4,3,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,4,6,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,4,6,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,4,7,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,4,7,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,6,3,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,6,3,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,6,4,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,6,4,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,6,7,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,6,7,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,7,3,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,7,3,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,7,4,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,7,4,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,7,6,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,5,7,6,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,3,4,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,3,4,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,3,5,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,3,5,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,3,7,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,3,7,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,4,3,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,4,3,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,4,5,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,4,5,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,4,7,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,4,7,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,5,3,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,5,3,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,5,4,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,5,4,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,5,7,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,5,7,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,7,3,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,7,3,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,7,4,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,7,4,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,7,5,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,6,7,5,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,3,4,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,3,4,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,3,5,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,3,5,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,3,6,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,3,6,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,4,3,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,4,3,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,4,5,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,4,5,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,4,6,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,4,6,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,5,3,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,5,3,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,5,4,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,5,4,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,5,6,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,5,6,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,6,3,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,6,3,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,6,4,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,6,4,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,6,5,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,2,7,6,5,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,4,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,4,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,4,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,4,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,4,7,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,4,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,5,4,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,5,4,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,5,6,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,5,6,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,5,7,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,5,7,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,6,4,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,6,4,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,6,5,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,6,5,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,6,7,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,6,7,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,7,4,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,7,4,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,7,5,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,7,5,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,7,6,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,2,7,6,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,2,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,2,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,2,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,2,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,2,7,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,2,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,5,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,5,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,5,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,5,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,5,7,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,5,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,6,2,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,6,2,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,6,5,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,6,5,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,6,7,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,6,7,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,7,2,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,7,2,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,7,5,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,7,5,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,7,6,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,4,7,6,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,2,4,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,2,4,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,2,6,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,2,6,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,2,7,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,2,7,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,4,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,4,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,4,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,4,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,4,7,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,4,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,6,2,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,6,2,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,6,4,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,6,4,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,6,7,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,6,7,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,7,2,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,7,2,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,7,4,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,7,4,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,7,6,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,5,7,6,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,2,4,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,2,4,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,2,5,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,2,5,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,2,7,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,2,7,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,4,2,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,4,2,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,4,5,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,4,5,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,4,7,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,4,7,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,5,2,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,5,2,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,5,4,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,5,4,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,5,7,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,5,7,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,7,2,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,7,2,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,7,4,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,7,4,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,7,5,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,6,7,5,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,2,4,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,2,4,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,2,5,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,2,5,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,2,6,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,2,6,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,4,2,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,4,2,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,4,5,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,4,5,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,4,6,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,4,6,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,5,2,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,5,2,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,5,4,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,5,4,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,5,6,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,5,6,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,6,2,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,6,2,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,6,4,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,6,4,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,6,5,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,3,7,6,5,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,3,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,3,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,3,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,3,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,3,7,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,3,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,5,3,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,5,3,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,5,6,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,5,6,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,5,7,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,5,7,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,6,3,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,6,3,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,6,5,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,6,5,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,6,7,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,6,7,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,7,3,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,7,3,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,7,5,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,7,5,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,7,6,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,2,7,6,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,2,5,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,2,5,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,2,6,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,2,6,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,2,7,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,2,7,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,5,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,5,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,5,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,5,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,5,7,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,5,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,6,2,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,6,2,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,6,5,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,6,5,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,6,7,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,6,7,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,7,2,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,7,2,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,7,5,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,7,5,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,7,6,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,3,7,6,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,2,3,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,2,3,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,2,6,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,2,6,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,2,7,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,2,7,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,3,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,3,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,3,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,3,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,3,7,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,3,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,6,2,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,6,2,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,6,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,6,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,6,7,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,6,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,7,2,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,7,2,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,7,3,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,7,3,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,7,6,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,5,7,6,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,2,3,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,2,3,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,2,5,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,2,5,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,2,7,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,2,7,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,3,2,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,3,2,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,3,5,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,3,5,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,3,7,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,3,7,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,5,2,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,5,2,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,5,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,5,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,5,7,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,5,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,7,2,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,7,2,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,7,3,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,7,3,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,7,5,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,6,7,5,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,2,3,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,2,3,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,2,5,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,2,5,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,2,6,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,2,6,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,3,2,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,3,2,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,3,5,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,3,5,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,3,6,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,3,6,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,5,2,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,5,2,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,5,3,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,5,3,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,5,6,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,5,6,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,6,2,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,6,2,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,6,3,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,6,3,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,6,5,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,4,7,6,5,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,3,4,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,3,4,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,3,6,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,3,6,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,3,7,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,3,7,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,4,3,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,4,3,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,4,6,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,4,6,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,4,7,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,4,7,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,6,3,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,6,3,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,6,4,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,6,4,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,6,7,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,6,7,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,7,3,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,7,3,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,7,4,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,7,4,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,7,6,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,2,7,6,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,2,4,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,2,4,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,2,6,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,2,6,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,2,7,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,2,7,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,4,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,4,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,4,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,4,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,4,7,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,4,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,6,2,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,6,2,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,6,4,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,6,4,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,6,7,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,6,7,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,7,2,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,7,2,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,7,4,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,7,4,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,7,6,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,3,7,6,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,2,3,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,2,3,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,2,6,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,2,6,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,2,7,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,2,7,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,3,2,6,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,3,2,7,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,3,6,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,3,6,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,3,7,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,3,7,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,6,2,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,6,2,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,6,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,6,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,6,7,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,6,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,7,2,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,7,2,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,7,3,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,7,3,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,7,6,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,4,7,6,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,2,3,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,2,3,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,2,4,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,2,4,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,2,7,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,2,7,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,3,2,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,3,2,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,3,4,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,3,4,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,3,7,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,3,7,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,4,2,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,4,2,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,4,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,4,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,4,7,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,4,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,7,2,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,7,2,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,7,3,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,7,3,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,7,4,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,6,7,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,2,3,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,2,3,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,2,4,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,2,4,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,2,6,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,2,6,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,3,2,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,3,2,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,3,4,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,3,4,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,3,6,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,3,6,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,4,2,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,4,2,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,4,3,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,4,3,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,4,6,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,4,6,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,6,2,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,6,2,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,6,3,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,6,3,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,6,4,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,5,7,6,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,3,4,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,3,4,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,3,5,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,3,5,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,3,7,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,3,7,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,4,3,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,4,3,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,4,5,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,4,5,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,4,7,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,4,7,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,5,3,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,5,3,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,5,4,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,5,4,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,5,7,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,5,7,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,7,3,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,7,3,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,7,4,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,7,4,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,7,5,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,2,7,5,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,2,4,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,2,4,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,2,5,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,2,5,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,2,7,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,2,7,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,4,2,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,4,2,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,4,5,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,4,5,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,4,7,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,4,7,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,5,2,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,5,2,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,5,4,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,5,4,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,5,7,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,5,7,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,7,2,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,7,2,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,7,4,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,7,4,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,7,5,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,3,7,5,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,2,3,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,2,3,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,2,5,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,2,5,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,2,7,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,2,7,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,3,2,5,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,3,2,7,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,3,5,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,3,5,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,3,7,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,3,7,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,5,2,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,5,2,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,5,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,5,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,5,7,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,5,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,7,2,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,7,2,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,7,3,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,7,3,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,7,5,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,4,7,5,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,2,3,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,2,3,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,2,4,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,2,4,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,2,7,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,2,7,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,3,2,4,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,3,2,7,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,3,4,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,3,4,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,3,7,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,3,7,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,4,2,3,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,4,2,7,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,4,3,2,7] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,4,3,7,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,4,7,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,4,7,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,7,2,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,7,2,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,7,3,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,7,3,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,7,4,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,5,7,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,2,3,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,2,3,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,2,4,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,2,4,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,2,5,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,2,5,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,3,2,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,3,2,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,3,4,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,3,4,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,3,5,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,3,5,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,4,2,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,4,2,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,4,3,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,4,3,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,4,5,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,4,5,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,5,2,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,5,2,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,5,3,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,5,3,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,5,4,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,6,7,5,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,3,4,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,3,4,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,3,5,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,3,5,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,3,6,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,3,6,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,4,3,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,4,3,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,4,5,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,4,5,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,4,6,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,4,6,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,5,3,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,5,3,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,5,4,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,5,4,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,5,6,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,5,6,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,6,3,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,6,3,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,6,4,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,6,4,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,6,5,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,2,6,5,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,2,4,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,2,4,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,2,5,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,2,5,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,2,6,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,2,6,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,4,2,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,4,2,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,4,5,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,4,5,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,4,6,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,4,6,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,5,2,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,5,2,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,5,4,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,5,4,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,5,6,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,5,6,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,6,2,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,6,2,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,6,4,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,6,4,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,6,5,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,3,6,5,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,2,3,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,2,3,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,2,5,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,2,5,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,2,6,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,2,6,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,3,2,5,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,3,2,6,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,3,5,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,3,5,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,3,6,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,3,6,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,5,2,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,5,2,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,5,3,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,5,3,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,5,6,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,5,6,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,6,2,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,6,2,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,6,3,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,6,3,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,6,5,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,4,6,5,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,2,3,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,2,3,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,2,4,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,2,4,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,2,6,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,2,6,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,3,2,4,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,3,2,6,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,3,4,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,3,4,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,3,6,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,3,6,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,4,2,3,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,4,2,6,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,4,3,2,6] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,4,3,6,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,4,6,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,4,6,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,6,2,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,6,2,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,6,3,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,6,3,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,6,4,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,5,6,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,2,3,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,2,3,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,2,4,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,2,4,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,2,5,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,2,5,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,3,2,4,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,3,2,5,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,3,4,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,3,4,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,3,5,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,3,5,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,4,2,3,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,4,2,5,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,4,3,2,5] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,4,3,5,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,4,5,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,4,5,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,5,2,3,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,5,2,4,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,5,3,2,4] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,5,3,4,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,5,4,2,3] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,1,3,4,5,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,4,5,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,4,6,5,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,4,6,7,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,4,7,5,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,4,7,6,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,5,4,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,5,4,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,5,6,4,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,5,6,7,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,5,7,4,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,5,7,6,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,6,4,5,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,6,4,7,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,6,5,4,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,6,5,7,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,6,7,4,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,6,7,5,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,7,4,5,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,7,4,6,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,7,5,4,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,7,5,6,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,7,6,4,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,3,7,6,5,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,3,5,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,3,5,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,3,6,5,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,3,6,7,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,3,7,5,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,3,7,6,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,5,3,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,5,3,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,5,6,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,5,6,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,5,7,3,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,5,7,6,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,6,3,5,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,6,3,7,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,6,5,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,6,5,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,6,7,3,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,6,7,5,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,7,3,5,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,7,3,6,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,7,5,3,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,7,5,6,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,7,6,3,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,4,7,6,5,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,3,4,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,3,4,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,3,6,4,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,3,6,7,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,3,7,4,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,3,7,6,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,4,3,6,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,4,3,7,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,4,6,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,4,6,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,4,7,3,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,4,7,6,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,6,3,4,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,6,3,7,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,6,4,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,6,4,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,6,7,3,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,6,7,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,7,3,4,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,7,3,6,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,7,4,3,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,7,4,6,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,7,6,3,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,5,7,6,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,3,4,5,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,3,4,7,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,3,5,4,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,3,5,7,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,3,7,4,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,3,7,5,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,4,3,5,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,4,3,7,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,4,5,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,4,5,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,4,7,3,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,4,7,5,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,5,3,4,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,5,3,7,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,5,4,3,7] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,5,4,7,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,5,7,3,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,5,7,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,7,3,4,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,7,3,5,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,7,4,3,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,7,4,5,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,7,5,3,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,6,7,5,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,3,4,5,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,3,4,6,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,3,5,4,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,3,5,6,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,3,6,4,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,3,6,5,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,4,3,5,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,4,3,6,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,4,5,3,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,4,5,6,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,4,6,3,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,4,6,5,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,5,3,4,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,5,3,6,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,5,4,3,6] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,5,4,6,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,5,6,3,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,5,6,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,6,3,4,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,6,3,5,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,6,4,3,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,6,4,5,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,6,5,3,4] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[2,3,1,4,5,6,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,4,5,7,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,4,6,5,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,4,6,7,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,4,7,5,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,4,7,6,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,5,4,6,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,5,4,7,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,5,6,4,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,5,6,7,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,5,7,4,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,5,7,6,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,6,4,5,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,6,4,7,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,6,5,4,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,6,5,7,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,6,7,4,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,6,7,5,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,7,4,5,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,7,4,6,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,7,5,4,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,7,5,6,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,7,6,4,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,7,6,5,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,4,1,5,6,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,4,1,5,7,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,4,1,6,5,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,4,1,6,7,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,4,1,7,5,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,4,1,7,6,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,4,5,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,4,5,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,4,5,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,4,5,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,4,5,7,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,4,5,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,4,6,1,5,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,4,6,1,7,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,4,6,5,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,4,6,5,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,4,6,7,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,4,6,7,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,4,7,1,5,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,4,7,1,6,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,4,7,5,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,4,7,5,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,4,7,6,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,4,7,6,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,5,1,4,6,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,5,1,4,7,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,5,1,6,4,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,5,1,6,7,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,5,1,7,4,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,5,1,7,6,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,5,4,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,4,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,4,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,5,4,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,5,4,7,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,5,4,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,5,6,1,4,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,6,1,7,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,6,4,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,5,6,4,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,5,6,7,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,5,6,7,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,5,7,1,4,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,7,1,6,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,5,7,4,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,5,7,4,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,5,7,6,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,5,7,6,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,6,1,4,5,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,6,1,4,7,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,6,1,5,4,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,6,1,5,7,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,6,1,7,4,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,6,1,7,5,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,6,4,1,5,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,6,4,1,7,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,6,4,5,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,6,4,5,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,6,4,7,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,6,4,7,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,6,5,1,4,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,6,5,1,7,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,6,5,4,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,6,5,4,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,6,5,7,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,6,5,7,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,6,7,1,4,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,6,7,1,5,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,6,7,4,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,6,7,4,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,6,7,5,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,6,7,5,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,7,1,4,5,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,7,1,4,6,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,7,1,5,4,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,7,1,5,6,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,7,1,6,4,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,7,1,6,5,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,3,7,4,1,5,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,7,4,1,6,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,7,4,5,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,7,4,5,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,7,4,6,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,7,4,6,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,7,5,1,4,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,7,5,1,6,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,7,5,4,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,7,5,4,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,7,5,6,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,7,5,6,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,7,6,1,4,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,7,6,1,5,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,3,7,6,4,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,7,6,4,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,3,7,6,5,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,3,7,6,5,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,1,3,5,6,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,3,5,7,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,3,6,5,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,3,6,7,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,3,7,5,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,3,7,6,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,5,3,6,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,5,3,7,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,5,6,3,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,5,6,7,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,5,7,3,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,5,7,6,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,6,3,5,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,6,3,7,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,6,5,3,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,6,5,7,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,6,7,3,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,6,7,5,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,7,3,5,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,7,3,6,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,7,5,3,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,7,5,6,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,7,6,3,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,1,7,6,5,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,4,3,1,5,6,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,3,1,5,7,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,3,1,6,5,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,3,1,6,7,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,3,1,7,5,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,3,1,7,6,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,3,5,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,3,5,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,3,5,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,3,5,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,3,5,7,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,3,5,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,3,6,1,5,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,3,6,1,7,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,3,6,5,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,3,6,5,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,3,6,7,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,3,6,7,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,3,7,1,5,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,3,7,1,6,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,3,7,5,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,3,7,5,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,3,7,6,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,3,7,6,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,5,1,3,6,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,5,1,3,7,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,5,1,6,3,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,5,1,6,7,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,5,1,7,3,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,5,1,7,6,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,5,3,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,5,3,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,5,3,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,5,3,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,5,3,7,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,5,3,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,5,6,1,3,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,5,6,1,7,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,5,6,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,5,6,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,5,6,7,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,5,6,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,5,7,1,3,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,5,7,1,6,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,5,7,3,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,5,7,3,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,5,7,6,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,5,7,6,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,6,1,3,5,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,6,1,3,7,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,6,1,5,3,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,6,1,5,7,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,6,1,7,3,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,6,1,7,5,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,6,3,1,5,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,6,3,1,7,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,6,3,5,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,6,3,5,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,6,3,7,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,6,3,7,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,6,5,1,3,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,6,5,1,7,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,6,5,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,6,5,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,6,5,7,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,6,5,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,6,7,1,3,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,6,7,1,5,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,6,7,3,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,6,7,3,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,6,7,5,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,6,7,5,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,7,1,3,5,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,7,1,3,6,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,7,1,5,3,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,7,1,5,6,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,7,1,6,3,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,7,1,6,5,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,4,7,3,1,5,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,7,3,1,6,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,7,3,5,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,7,3,5,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,7,3,6,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,7,3,6,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,7,5,1,3,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,7,5,1,6,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,7,5,3,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,7,5,3,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,7,5,6,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,7,5,6,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,7,6,1,3,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,7,6,1,5,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,4,7,6,3,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,7,6,3,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,4,7,6,5,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,4,7,6,5,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,1,3,4,6,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,3,4,7,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,3,6,4,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,3,6,7,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,3,7,4,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,3,7,6,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,4,3,6,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,4,3,7,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,4,6,3,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,4,6,7,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,4,7,3,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,4,7,6,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,6,3,4,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,6,3,7,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,6,4,3,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,6,4,7,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,6,7,3,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,6,7,4,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,7,3,4,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,7,3,6,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,7,4,3,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,7,4,6,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,7,6,3,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,1,7,6,4,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,3,1,4,6,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,3,1,4,7,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,3,1,6,4,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,3,1,6,7,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,3,1,7,4,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,3,1,7,6,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,3,4,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,3,4,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,3,4,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,3,4,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,3,4,7,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,3,4,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,3,6,1,4,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,3,6,1,7,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,3,6,4,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,3,6,4,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,3,6,7,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,3,6,7,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,3,7,1,4,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,3,7,1,6,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,3,7,4,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,3,7,4,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,3,7,6,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,3,7,6,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,4,1,3,6,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,4,1,3,7,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,4,1,6,3,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,4,1,6,7,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,4,1,7,3,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,4,1,7,6,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,4,3,1,6,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,4,3,1,7,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,4,3,6,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,4,3,6,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,4,3,7,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,4,3,7,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,4,6,1,3,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,4,6,1,7,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,4,6,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,4,6,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,4,6,7,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,4,6,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,4,7,1,3,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,4,7,1,6,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,4,7,3,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,4,7,3,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,4,7,6,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,4,7,6,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,6,1,3,4,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,6,1,3,7,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,6,1,4,3,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,6,1,4,7,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,6,1,7,3,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,6,1,7,4,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,6,3,1,4,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,6,3,1,7,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,6,3,4,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,6,3,4,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,6,3,7,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,6,3,7,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,6,4,1,3,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,6,4,1,7,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,6,4,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,6,4,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,6,4,7,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,6,4,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,6,7,1,3,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,6,7,1,4,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,6,7,3,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,6,7,3,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,6,7,4,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,6,7,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,7,1,3,4,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,7,1,3,6,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,7,1,4,3,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,7,1,4,6,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,7,1,6,3,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,7,1,6,4,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,5,7,3,1,4,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,7,3,1,6,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,7,3,4,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,7,3,4,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,7,3,6,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,7,3,6,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,7,4,1,3,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,7,4,1,6,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,7,4,3,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,7,4,3,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,7,4,6,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,7,4,6,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,7,6,1,3,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,7,6,1,4,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,5,7,6,3,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,7,6,3,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,5,7,6,4,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,5,7,6,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,1,3,4,5,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,3,4,7,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,3,5,4,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,3,5,7,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,3,7,4,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,3,7,5,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,4,3,5,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,4,3,7,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,4,5,3,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,4,5,7,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,4,7,3,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,4,7,5,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,5,3,4,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,5,3,7,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,5,4,3,7] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,5,4,7,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,5,7,3,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,5,7,4,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,7,3,4,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,7,3,5,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,7,4,3,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,7,4,5,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,7,5,3,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,1,7,5,4,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,6,3,1,4,5,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,3,1,4,7,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,3,1,5,4,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,3,1,5,7,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,3,1,7,4,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,3,1,7,5,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,3,4,1,5,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,3,4,1,7,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,3,4,5,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,3,4,5,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,3,4,7,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,3,4,7,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,3,5,1,4,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,3,5,1,7,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,3,5,4,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,3,5,4,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,3,5,7,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,3,5,7,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,3,7,1,4,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,3,7,1,5,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,3,7,4,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,3,7,4,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,3,7,5,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,3,7,5,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,4,1,3,5,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,4,1,3,7,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,4,1,5,3,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,4,1,5,7,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,4,1,7,3,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,4,1,7,5,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,4,3,1,5,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,4,3,1,7,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,4,3,5,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,4,3,5,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,4,3,7,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,4,3,7,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,4,5,1,3,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,4,5,1,7,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,4,5,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,4,5,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,4,5,7,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,4,5,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,4,7,1,3,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,4,7,1,5,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,4,7,3,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,4,7,3,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,4,7,5,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,4,7,5,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,5,1,3,4,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,5,1,3,7,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,5,1,4,3,7] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,5,1,4,7,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,5,1,7,3,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,5,1,7,4,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,5,3,1,4,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,5,3,1,7,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,5,3,4,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,5,3,4,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,5,3,7,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,5,3,7,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,5,4,1,3,7] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,5,4,1,7,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,5,4,3,1,7] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,5,4,3,7,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,5,4,7,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,5,4,7,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,5,7,1,3,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,5,7,1,4,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,5,7,3,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,5,7,3,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,5,7,4,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,5,7,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,7,1,3,4,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,7,1,3,5,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,7,1,4,3,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,7,1,4,5,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,7,1,5,3,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,7,1,5,4,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,6,7,3,1,4,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,7,3,1,5,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,7,3,4,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,7,3,4,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,7,3,5,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,7,3,5,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,7,4,1,3,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,7,4,1,5,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,7,4,3,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,7,4,3,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,7,4,5,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,7,4,5,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,7,5,1,3,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,7,5,1,4,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,6,7,5,3,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,7,5,3,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,6,7,5,4,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,6,7,5,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,1,3,4,5,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,3,4,6,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,3,5,4,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,3,5,6,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,3,6,4,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,3,6,5,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,4,3,5,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,4,3,6,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,4,5,3,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,4,5,6,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,4,6,3,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,4,6,5,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,5,3,4,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,5,3,6,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,5,4,3,6] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,5,4,6,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,5,6,3,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,5,6,4,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,6,3,4,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,6,3,5,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,6,4,3,5] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,6,4,5,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,6,5,3,4] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,1,6,5,4,3] => [2,7,1,6,5,4,3] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,7,3,1,4,5,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,3,1,4,6,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,3,1,5,4,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,3,1,5,6,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,3,1,6,4,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,3,1,6,5,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,3,4,1,5,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,3,4,1,6,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,3,4,5,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,3,4,5,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,3,4,6,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,3,4,6,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,3,5,1,4,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,3,5,1,6,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,3,5,4,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,3,5,4,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,3,5,6,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,3,5,6,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,3,6,1,4,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,3,6,1,5,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,3,6,4,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,3,6,4,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,3,6,5,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,3,6,5,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,4,1,3,5,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,4,1,3,6,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,4,1,5,3,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,4,1,5,6,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,4,1,6,3,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,4,1,6,5,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,4,3,1,5,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,4,3,1,6,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,4,3,5,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,4,3,5,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,4,3,6,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,4,3,6,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,4,5,1,3,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,4,5,1,6,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,4,5,3,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,4,5,3,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,4,5,6,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,4,5,6,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,4,6,1,3,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,4,6,1,5,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,4,6,3,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,4,6,3,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,4,6,5,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,4,6,5,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,5,1,3,4,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,5,1,3,6,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,5,1,4,3,6] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,5,1,4,6,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,5,1,6,3,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,5,1,6,4,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,5,3,1,4,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,5,3,1,6,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,5,3,4,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,5,3,4,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,5,3,6,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,5,3,6,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,5,4,1,3,6] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,5,4,1,6,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,5,4,3,1,6] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,5,4,3,6,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,5,4,6,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,5,4,6,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,5,6,1,3,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,5,6,1,4,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,5,6,3,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,5,6,3,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,5,6,4,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,5,6,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,6,1,3,4,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,6,1,3,5,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,6,1,4,3,5] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,6,1,4,5,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,6,1,5,3,4] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,6,1,5,4,3] => [2,7,6,1,5,4,3] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[2,7,6,3,1,4,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,6,3,1,5,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,6,3,4,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,6,3,4,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,6,3,5,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,6,3,5,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,6,4,1,3,5] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,6,4,1,5,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,6,4,3,1,5] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,6,4,3,5,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,6,4,5,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,6,4,5,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,6,5,1,3,4] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,6,5,1,4,3] => [2,7,6,5,1,4,3] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[2,7,6,5,3,1,4] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,6,5,3,4,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[2,7,6,5,4,1,3] => [2,7,6,5,4,1,3] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,6,5,4,3,1] => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[3,1,2,4,5,6,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,4,5,7,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,4,6,5,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,4,6,7,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,4,7,5,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,4,7,6,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,5,4,6,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,5,4,7,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,5,6,4,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,5,6,7,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,5,7,4,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,5,7,6,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,6,4,5,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,6,4,7,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,6,5,4,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,6,5,7,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,6,7,4,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,6,7,5,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,7,4,5,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,7,4,6,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,7,5,4,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,7,5,6,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,7,6,4,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,2,7,6,5,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,2,5,6,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,2,5,7,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,2,6,5,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,2,6,7,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,2,7,5,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,2,7,6,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,5,2,6,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,5,2,7,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,5,6,2,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,5,6,7,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,5,7,2,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,5,7,6,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,6,2,5,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,6,2,7,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,6,5,2,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,6,5,7,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,6,7,2,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,6,7,5,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,7,2,5,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,7,2,6,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,7,5,2,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,7,5,6,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,7,6,2,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,4,7,6,5,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,2,4,6,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,2,4,7,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,2,6,4,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,2,6,7,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,2,7,4,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,2,7,6,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,4,2,6,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,4,2,7,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,4,6,2,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,4,6,7,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,4,7,2,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,4,7,6,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,6,2,4,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,6,2,7,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,6,4,2,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,6,4,7,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,6,7,2,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,6,7,4,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,7,2,4,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,7,2,6,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,7,4,2,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,7,4,6,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,7,6,2,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,5,7,6,4,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,2,4,5,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,2,4,7,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,2,5,4,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,2,5,7,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,2,7,4,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,2,7,5,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,4,2,5,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,4,2,7,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,4,5,2,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,4,5,7,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,4,7,2,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,4,7,5,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,5,2,4,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,5,2,7,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,5,4,2,7] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,5,4,7,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,5,7,2,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,5,7,4,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,7,2,4,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,7,2,5,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,7,4,2,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,7,4,5,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,7,5,2,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,6,7,5,4,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,2,4,5,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,2,4,6,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,2,5,4,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,2,5,6,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,2,6,4,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,2,6,5,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,4,2,5,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,4,2,6,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,4,5,2,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,4,5,6,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,4,6,2,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,4,6,5,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,5,2,4,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,5,2,6,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,5,4,2,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,5,4,6,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,5,6,2,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,5,6,4,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,6,2,4,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,6,2,5,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,6,4,2,5] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,6,4,5,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,6,5,2,4] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,1,7,6,5,4,2] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[3,2,1,4,5,6,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,4,5,7,6] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,4,6,5,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,4,6,7,5] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,4,7,5,6] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,4,7,6,5] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,5,4,6,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,5,4,7,6] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,5,6,4,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,5,6,7,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,5,7,4,6] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,5,7,6,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,6,4,5,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,6,4,7,5] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,6,5,4,7] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,6,5,7,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,6,7,4,5] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,6,7,5,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,7,4,5,6] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,7,4,6,5] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,7,5,4,6] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,7,5,6,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,7,6,4,5] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[3,2,4,1,5,6,7] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,4,1,5,7,6] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,4,1,6,5,7] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,4,1,6,7,5] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,4,1,7,5,6] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,4,1,7,6,5] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,4,5,1,6,7] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,4,5,1,7,6] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,4,5,6,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,4,5,6,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,4,5,7,1,6] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,4,5,7,6,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,4,6,1,5,7] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,4,6,1,7,5] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,4,6,5,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,4,6,5,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,4,6,7,1,5] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,4,6,7,5,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,4,7,1,5,6] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,4,7,1,6,5] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,4,7,5,1,6] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,4,7,5,6,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,4,7,6,1,5] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,4,7,6,5,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,5,1,4,6,7] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,5,1,4,7,6] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,5,1,6,4,7] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,5,1,6,7,4] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,5,1,7,4,6] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,5,1,7,6,4] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,5,4,1,6,7] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,5,4,1,7,6] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,5,4,6,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,5,4,6,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,5,4,7,1,6] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,5,4,7,6,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,5,6,1,4,7] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,5,6,1,7,4] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,5,6,4,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,5,6,4,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,5,6,7,1,4] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,5,6,7,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,5,7,1,4,6] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,5,7,1,6,4] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,5,7,4,1,6] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,5,7,4,6,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,5,7,6,1,4] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,5,7,6,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,6,1,4,5,7] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,6,1,4,7,5] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,6,1,5,4,7] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,6,1,5,7,4] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,6,1,7,4,5] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,6,1,7,5,4] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,6,4,1,5,7] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,6,4,1,7,5] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,6,4,5,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,6,4,5,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,6,4,7,1,5] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,6,4,7,5,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,6,5,1,4,7] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,6,5,1,7,4] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,6,5,4,1,7] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,6,5,4,7,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,6,5,7,1,4] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,6,5,7,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,6,7,1,4,5] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,6,7,1,5,4] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,6,7,4,1,5] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,6,7,4,5,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,6,7,5,1,4] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,6,7,5,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,7,1,4,5,6] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,7,1,4,6,5] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,7,1,5,4,6] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,7,1,5,6,4] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,7,1,6,4,5] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,7,1,6,5,4] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,7,4,1,5,6] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,7,4,1,6,5] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,7,4,5,1,6] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,7,4,5,6,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,7,4,6,1,5] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,7,4,6,5,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,7,5,1,4,6] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,7,5,1,6,4] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,7,5,4,1,6] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,7,5,4,6,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,7,5,6,1,4] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,7,5,6,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,7,6,1,4,5] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,7,6,1,5,4] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[3,2,7,6,4,1,5] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,7,6,4,5,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,2,7,6,5,1,4] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[3,2,7,6,5,4,1] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[3,4,1,2,5,6,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,2,5,7,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,2,6,5,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,2,6,7,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,2,7,5,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,2,7,6,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,5,2,6,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,5,2,7,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,5,6,2,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,5,6,7,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,5,7,2,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,5,7,6,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,6,2,5,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,6,2,7,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,6,5,2,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,6,5,7,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,6,7,2,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,6,7,5,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,7,2,5,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,7,2,6,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,7,5,2,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,7,5,6,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,7,6,2,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,7,6,5,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,2,1,5,6,7] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,2,1,5,7,6] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,2,1,6,5,7] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,2,1,6,7,5] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,2,1,7,5,6] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,2,1,7,6,5] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,2,5,1,6,7] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,4,2,5,1,7,6] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,4,2,5,6,1,7] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,4,2,5,6,7,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,4,2,5,7,1,6] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,4,2,5,7,6,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,4,2,6,1,5,7] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,4,2,6,1,7,5] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,4,2,6,5,1,7] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,4,2,6,5,7,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,4,2,6,7,1,5] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,4,2,6,7,5,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,4,2,7,1,5,6] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,4,2,7,1,6,5] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,4,2,7,5,1,6] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,4,2,7,5,6,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,4,2,7,6,1,5] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,4,2,7,6,5,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,4,5,1,2,6,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,5,1,2,7,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,5,1,6,2,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,5,1,6,7,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,5,1,7,2,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,5,1,7,6,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,5,2,1,6,7] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,5,2,1,7,6] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,5,2,6,1,7] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,4,5,2,6,7,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,4,5,2,7,1,6] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,4,5,2,7,6,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,4,5,6,1,2,7] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,5,6,1,7,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,5,6,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,5,6,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,4,5,6,7,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,5,6,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,4,5,7,1,2,6] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,5,7,1,6,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,5,7,2,1,6] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,5,7,2,6,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,4,5,7,6,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,5,7,6,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,4,6,1,2,5,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,6,1,2,7,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,6,1,5,2,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,6,1,5,7,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,6,1,7,2,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,6,1,7,5,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,6,2,1,5,7] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,2,1,7,5] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,2,5,1,7] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,4,6,2,5,7,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,4,6,2,7,1,5] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,4,6,2,7,5,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,4,6,5,1,2,7] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,5,1,7,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,5,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,6,5,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,4,6,5,7,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,6,5,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,4,6,7,1,2,5] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,7,1,5,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,6,7,2,1,5] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,6,7,2,5,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,4,6,7,5,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,6,7,5,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,4,7,1,2,5,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,7,1,2,6,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,7,1,5,2,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,7,1,5,6,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,7,1,6,2,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,7,1,6,5,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,4,7,2,1,5,6] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,7,2,1,6,5] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,7,2,5,1,6] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,4,7,2,5,6,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,4,7,2,6,1,5] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,4,7,2,6,5,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,4,7,5,1,2,6] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,7,5,1,6,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,7,5,2,1,6] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,7,5,2,6,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,4,7,5,6,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,7,5,6,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,4,7,6,1,2,5] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,7,6,1,5,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,4,7,6,2,1,5] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,7,6,2,5,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,4,7,6,5,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,4,7,6,5,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,5,1,2,4,6,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,2,4,7,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,2,6,4,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,2,6,7,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,2,7,4,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,2,7,6,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,4,2,6,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,4,2,7,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,4,6,2,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,4,6,7,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,4,7,2,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,4,7,6,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,6,2,4,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,6,2,7,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,6,4,2,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,6,4,7,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,6,7,2,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,6,7,4,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,7,2,4,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,7,2,6,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,7,4,2,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,7,4,6,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,7,6,2,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,1,7,6,4,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,5,2,1,4,6,7] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,2,1,4,7,6] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,2,1,6,4,7] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,2,1,6,7,4] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,2,1,7,4,6] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,2,1,7,6,4] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,2,4,1,6,7] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,2,4,1,7,6] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,2,4,6,1,7] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,2,4,6,7,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,5,2,4,7,1,6] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,2,4,7,6,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,5,2,6,1,4,7] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,2,6,1,7,4] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,2,6,4,1,7] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,2,6,4,7,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,5,2,6,7,1,4] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,2,6,7,4,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,5,2,7,1,4,6] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,2,7,1,6,4] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,2,7,4,1,6] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,2,7,4,6,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,5,2,7,6,1,4] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,2,7,6,4,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,5,4,1,2,6,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,4,1,2,7,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,4,1,6,2,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,4,1,6,7,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,4,1,7,2,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,4,1,7,6,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,4,2,1,6,7] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,4,2,1,7,6] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,4,2,6,1,7] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,5,4,2,6,7,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,5,4,2,7,1,6] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,5,4,2,7,6,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,5,4,6,1,2,7] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,4,6,1,7,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,4,6,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,4,6,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,4,6,7,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,4,6,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,5,4,7,1,2,6] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,4,7,1,6,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,4,7,2,1,6] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,4,7,2,6,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,4,7,6,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,4,7,6,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,5,6,1,2,4,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,6,1,2,7,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,6,1,4,2,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,6,1,4,7,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,6,1,7,2,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,6,1,7,4,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,6,2,1,4,7] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,6,2,1,7,4] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,6,2,4,1,7] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,5,6,2,4,7,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,5,6,2,7,1,4] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,5,6,2,7,4,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,5,6,4,1,2,7] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,6,4,1,7,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,6,4,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,6,4,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,6,4,7,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,6,4,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,5,6,7,1,2,4] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,6,7,1,4,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,6,7,2,1,4] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,6,7,2,4,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,6,7,4,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,6,7,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,5,7,1,2,4,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,7,1,2,6,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,7,1,4,2,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,7,1,4,6,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,7,1,6,2,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,7,1,6,4,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,5,7,2,1,4,6] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,7,2,1,6,4] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,7,2,4,1,6] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,5,7,2,4,6,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,5,7,2,6,1,4] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,5,7,2,6,4,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,5,7,4,1,2,6] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,7,4,1,6,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,7,4,2,1,6] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,7,4,2,6,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,7,4,6,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,7,4,6,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,5,7,6,1,2,4] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,7,6,1,4,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,5,7,6,2,1,4] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,7,6,2,4,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,5,7,6,4,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,5,7,6,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,6,1,2,4,5,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,2,4,7,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,2,5,4,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,2,5,7,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,2,7,4,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,2,7,5,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,4,2,5,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,4,2,7,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,4,5,2,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,4,5,7,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,4,7,2,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,4,7,5,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,5,2,4,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,5,2,7,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,5,4,2,7] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,5,4,7,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,5,7,2,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,5,7,4,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,7,2,4,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,7,2,5,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,7,4,2,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,7,4,5,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,7,5,2,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,1,7,5,4,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,6,2,1,4,5,7] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,2,1,4,7,5] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,2,1,5,4,7] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,2,1,5,7,4] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,2,1,7,4,5] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,2,1,7,5,4] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,2,4,1,5,7] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,2,4,1,7,5] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,2,4,5,1,7] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,2,4,5,7,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,6,2,4,7,1,5] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,2,4,7,5,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,6,2,5,1,4,7] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,2,5,1,7,4] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,2,5,4,1,7] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,2,5,4,7,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,6,2,5,7,1,4] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,2,5,7,4,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,6,2,7,1,4,5] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,2,7,1,5,4] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,6,2,7,4,1,5] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,2,7,4,5,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,6,2,7,5,1,4] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,2,7,5,4,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,6,4,1,2,5,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,4,1,2,7,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,4,1,5,2,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,4,1,5,7,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,4,1,7,2,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,4,1,7,5,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,4,2,1,5,7] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,4,2,1,7,5] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,4,2,5,1,7] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,6,4,2,5,7,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,6,4,2,7,1,5] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,6,4,2,7,5,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,6,4,5,1,2,7] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,4,5,1,7,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,4,5,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,4,5,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,4,5,7,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,4,5,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,6,4,7,1,2,5] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,4,7,1,5,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,4,7,2,1,5] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,4,7,2,5,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,4,7,5,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,4,7,5,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,6,5,1,2,4,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,5,1,2,7,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,5,1,4,2,7] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,5,1,4,7,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,5,1,7,2,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,5,1,7,4,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,5,2,1,4,7] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,5,2,1,7,4] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,5,2,4,1,7] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,6,5,2,4,7,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,6,5,2,7,1,4] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,6,5,2,7,4,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,6,5,4,1,2,7] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,5,4,1,7,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,5,4,2,1,7] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,5,4,2,7,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,5,4,7,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,5,4,7,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,6,5,7,1,2,4] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,5,7,1,4,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,5,7,2,1,4] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,5,7,2,4,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,5,7,4,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,5,7,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,6,7,1,2,4,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,7,1,2,5,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,7,1,4,2,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,7,1,4,5,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,7,1,5,2,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,7,1,5,4,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,6,7,2,1,4,5] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,7,2,1,5,4] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,7,2,4,1,5] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,6,7,2,4,5,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,6,7,2,5,1,4] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,6,7,2,5,4,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,6,7,4,1,2,5] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,7,4,1,5,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,7,4,2,1,5] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,7,4,2,5,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,7,4,5,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,7,4,5,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,6,7,5,1,2,4] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,7,5,1,4,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,6,7,5,2,1,4] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,7,5,2,4,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,6,7,5,4,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,6,7,5,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,7,1,2,4,5,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,2,4,6,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,2,5,4,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,2,5,6,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,2,6,4,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,2,6,5,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,4,2,5,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,4,2,6,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,4,5,2,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,4,5,6,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,4,6,2,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,4,6,5,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,5,2,4,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,5,2,6,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,5,4,2,6] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,5,4,6,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,5,6,2,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,5,6,4,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,6,2,4,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,6,2,5,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,6,4,2,5] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,6,4,5,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,6,5,2,4] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,1,6,5,4,2] => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,7,2,1,4,5,6] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,2,1,4,6,5] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,2,1,5,4,6] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,2,1,5,6,4] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,2,1,6,4,5] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,2,1,6,5,4] => [3,7,2,1,6,5,4] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,2,4,1,5,6] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,2,4,1,6,5] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,2,4,5,1,6] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,7,2,4,5,6,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,7,2,4,6,1,5] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,7,2,4,6,5,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,7,2,5,1,4,6] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,2,5,1,6,4] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,2,5,4,1,6] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,7,2,5,4,6,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,7,2,5,6,1,4] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,7,2,5,6,4,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,7,2,6,1,4,5] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,2,6,1,5,4] => [3,7,2,6,1,5,4] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,7,2,6,4,1,5] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,7,2,6,4,5,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,7,2,6,5,1,4] => [3,7,2,6,5,1,4] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,7,2,6,5,4,1] => [3,7,2,6,5,4,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[3,7,4,1,2,5,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,4,1,2,6,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,4,1,5,2,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,4,1,5,6,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,4,1,6,2,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,4,1,6,5,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,4,2,1,5,6] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,4,2,1,6,5] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,4,2,5,1,6] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,4,2,5,6,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,7,4,2,6,1,5] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,4,2,6,5,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,7,4,5,1,2,6] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,4,5,1,6,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,4,5,2,1,6] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,4,5,2,6,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,7,4,5,6,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,4,5,6,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,7,4,6,1,2,5] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,4,6,1,5,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,4,6,2,1,5] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,4,6,2,5,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,7,4,6,5,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,4,6,5,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,7,5,1,2,4,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,5,1,2,6,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,5,1,4,2,6] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,5,1,4,6,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,5,1,6,2,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,5,1,6,4,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,5,2,1,4,6] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,5,2,1,6,4] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,5,2,4,1,6] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,5,2,4,6,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,7,5,2,6,1,4] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,5,2,6,4,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,7,5,4,1,2,6] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,5,4,1,6,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,5,4,2,1,6] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,5,4,2,6,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,7,5,4,6,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,5,4,6,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,7,5,6,1,2,4] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,5,6,1,4,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,5,6,2,1,4] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,5,6,2,4,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,7,5,6,4,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,5,6,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,7,6,1,2,4,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,6,1,2,5,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,6,1,4,2,5] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,6,1,4,5,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,6,1,5,2,4] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,6,1,5,4,2] => [3,7,6,1,5,4,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[3,7,6,2,1,4,5] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,6,2,1,5,4] => [3,7,6,2,1,5,4] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,6,2,4,1,5] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,6,2,4,5,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,7,6,2,5,1,4] => [3,7,6,2,5,1,4] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[3,7,6,2,5,4,1] => [3,7,6,2,5,4,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[3,7,6,4,1,2,5] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,6,4,1,5,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,6,4,2,1,5] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,6,4,2,5,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,7,6,4,5,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,6,4,5,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[3,7,6,5,1,2,4] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,6,5,1,4,2] => [3,7,6,5,1,4,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[3,7,6,5,2,1,4] => [3,7,6,5,2,1,4] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,6,5,2,4,1] => [3,7,6,5,2,4,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[3,7,6,5,4,1,2] => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[3,7,6,5,4,2,1] => [3,7,6,5,4,2,1] => [[[.,[[[[.,.],.],.],.]],.],.] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[4,1,2,3,5,6,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,3,5,7,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,3,6,5,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,3,6,7,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,3,7,5,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,3,7,6,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,5,3,6,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,5,3,7,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,5,6,3,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,5,6,7,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,5,7,3,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,5,7,6,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,6,3,5,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,6,3,7,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,6,5,3,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,6,5,7,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,6,7,3,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,6,7,5,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,7,3,5,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,7,3,6,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,7,5,3,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,7,5,6,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,7,6,3,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,2,7,6,5,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,2,5,6,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,2,5,7,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,2,6,5,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,2,6,7,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,2,7,5,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,2,7,6,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,5,2,6,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,5,2,7,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,5,6,2,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,5,6,7,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,5,7,2,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,5,7,6,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,6,2,5,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,6,2,7,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,6,5,2,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,6,5,7,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,6,7,2,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,6,7,5,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,7,2,5,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,7,2,6,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,7,5,2,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,7,5,6,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,7,6,2,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,3,7,6,5,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,2,3,6,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,2,3,7,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,2,6,3,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,2,6,7,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,2,7,3,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,2,7,6,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,3,2,6,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,3,2,7,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,3,6,2,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,3,6,7,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,3,7,2,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,3,7,6,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,6,2,3,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,6,2,7,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,6,3,2,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,6,3,7,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,6,7,2,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,6,7,3,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,7,2,3,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,7,2,6,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,7,3,2,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,7,3,6,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,7,6,2,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,5,7,6,3,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,2,3,5,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,2,3,7,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,2,5,3,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,2,5,7,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,2,7,3,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,2,7,5,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,3,2,5,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,3,2,7,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,3,5,2,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,3,5,7,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,3,7,2,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,3,7,5,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,5,2,3,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,5,2,7,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,5,3,2,7] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,5,3,7,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,5,7,2,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,5,7,3,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,7,2,3,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,7,2,5,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,7,3,2,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,7,3,5,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,7,5,2,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,6,7,5,3,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,2,3,5,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,2,3,6,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,2,5,3,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,2,5,6,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,2,6,3,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,2,6,5,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,3,2,5,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,3,2,6,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,3,5,2,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,3,5,6,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,3,6,2,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,3,6,5,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,5,2,3,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,5,2,6,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,5,3,2,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,5,3,6,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,5,6,2,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,5,6,3,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,6,2,3,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,6,2,5,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,6,3,2,5] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,6,3,5,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,6,5,2,3] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,1,7,6,5,3,2] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[4,2,1,3,5,6,7] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,3,5,7,6] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,3,6,5,7] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,3,6,7,5] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,3,7,5,6] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,3,7,6,5] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,5,3,6,7] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,5,3,7,6] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,5,6,3,7] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,5,6,7,3] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,5,7,3,6] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,5,7,6,3] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,6,3,5,7] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,6,3,7,5] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,6,5,3,7] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,6,5,7,3] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,6,7,3,5] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,6,7,5,3] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,7,3,5,6] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,7,3,6,5] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,7,5,3,6] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,7,5,6,3] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,7,6,3,5] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,1,7,6,5,3] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,2,3,1,5,6,7] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,3,1,5,7,6] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,3,1,6,5,7] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,3,1,6,7,5] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,3,1,7,5,6] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,3,1,7,6,5] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,3,5,1,6,7] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,3,5,1,7,6] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,3,5,6,1,7] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,3,5,6,7,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,3,5,7,1,6] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,3,5,7,6,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,3,6,1,5,7] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,3,6,1,7,5] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,3,6,5,1,7] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,3,6,5,7,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,3,6,7,1,5] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,3,6,7,5,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,3,7,1,5,6] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,3,7,1,6,5] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,3,7,5,1,6] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,3,7,5,6,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,3,7,6,1,5] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,3,7,6,5,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,5,1,3,6,7] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,5,1,3,7,6] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,5,1,6,3,7] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,5,1,6,7,3] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,5,1,7,3,6] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,5,1,7,6,3] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,5,3,1,6,7] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,5,3,1,7,6] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,5,3,6,1,7] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,5,3,6,7,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,5,3,7,1,6] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,5,3,7,6,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,5,6,1,3,7] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,5,6,1,7,3] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,5,6,3,1,7] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,5,6,3,7,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,5,6,7,1,3] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,5,6,7,3,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,5,7,1,3,6] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,5,7,1,6,3] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,5,7,3,1,6] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,5,7,3,6,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,5,7,6,1,3] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,5,7,6,3,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,6,1,3,5,7] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,6,1,3,7,5] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,6,1,5,3,7] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,6,1,5,7,3] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,6,1,7,3,5] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,6,1,7,5,3] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,6,3,1,5,7] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,6,3,1,7,5] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,6,3,5,1,7] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,6,3,5,7,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,6,3,7,1,5] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,6,3,7,5,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,6,5,1,3,7] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,6,5,1,7,3] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,6,5,3,1,7] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,6,5,3,7,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,6,5,7,1,3] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,6,5,7,3,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,6,7,1,3,5] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,6,7,1,5,3] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,6,7,3,1,5] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,6,7,3,5,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,6,7,5,1,3] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,6,7,5,3,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,7,1,3,5,6] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,7,1,3,6,5] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,7,1,5,3,6] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,7,1,5,6,3] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,7,1,6,3,5] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,7,1,6,5,3] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,7,3,1,5,6] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,7,3,1,6,5] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,7,3,5,1,6] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,7,3,5,6,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,7,3,6,1,5] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,7,3,6,5,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,7,5,1,3,6] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,7,5,1,6,3] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,7,5,3,1,6] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,7,5,3,6,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,7,5,6,1,3] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,7,5,6,3,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,7,6,1,3,5] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,7,6,1,5,3] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,2,7,6,3,1,5] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,7,6,3,5,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,2,7,6,5,1,3] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,2,7,6,5,3,1] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[4,3,1,2,5,6,7] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,2,5,7,6] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,2,6,5,7] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,2,6,7,5] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,2,7,5,6] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,2,7,6,5] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,5,2,6,7] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,5,2,7,6] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,5,6,2,7] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,5,6,7,2] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,5,7,2,6] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,5,7,6,2] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,6,2,5,7] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,6,2,7,5] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,6,5,2,7] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,6,5,7,2] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,6,7,2,5] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,6,7,5,2] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,7,2,5,6] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,7,2,6,5] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,7,5,2,6] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,7,5,6,2] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,7,6,2,5] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,1,7,6,5,2] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[4,3,2,1,5,6,7] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[4,3,2,1,5,7,6] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[4,3,2,1,6,5,7] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[4,3,2,1,6,7,5] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[4,3,2,1,7,5,6] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[4,3,2,5,1,6,7] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,3,2,5,1,7,6] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,3,2,5,6,1,7] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[4,3,2,5,6,7,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[4,3,2,5,7,1,6] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[4,3,2,5,7,6,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[4,3,2,6,1,5,7] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,3,2,6,1,7,5] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,3,2,6,5,1,7] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[4,3,2,6,5,7,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[4,3,2,6,7,1,5] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[4,3,2,6,7,5,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[4,3,2,7,1,5,6] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,3,2,7,1,6,5] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[4,3,2,7,5,1,6] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[4,3,2,7,5,6,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[4,3,2,7,6,1,5] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[4,3,2,7,6,5,1] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[4,3,5,1,2,6,7] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,5,1,2,7,6] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,5,1,6,2,7] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,5,1,6,7,2] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,5,1,7,2,6] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,5,1,7,6,2] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,5,2,1,6,7] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[4,3,5,2,1,7,6] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[4,3,5,2,6,1,7] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[4,3,5,2,6,7,1] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[4,3,5,2,7,1,6] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[4,3,5,2,7,6,1] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[4,3,5,6,1,2,7] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,5,6,1,7,2] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,5,6,2,1,7] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[4,3,5,6,2,7,1] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,3,5,6,7,1,2] => [4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,3,5,6,7,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[4,3,5,7,1,2,6] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,5,7,1,6,2] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,5,7,2,1,6] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[4,3,5,7,2,6,1] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,3,5,7,6,1,2] => [4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,3,5,7,6,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[4,3,6,1,2,5,7] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,6,1,2,7,5] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,6,1,5,2,7] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,6,1,5,7,2] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,6,1,7,2,5] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,6,1,7,5,2] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,6,2,1,5,7] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[4,3,6,2,1,7,5] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[4,3,6,2,5,1,7] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[4,3,6,2,5,7,1] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[4,3,6,2,7,1,5] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[4,3,6,2,7,5,1] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[4,3,6,5,1,2,7] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,6,5,1,7,2] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,6,5,2,1,7] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[4,3,6,5,2,7,1] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,3,6,5,7,1,2] => [4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,3,6,5,7,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[4,3,6,7,1,2,5] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,6,7,1,5,2] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,6,7,2,1,5] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[4,3,6,7,2,5,1] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,3,6,7,5,1,2] => [4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,3,6,7,5,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[4,3,7,1,2,5,6] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,7,1,2,6,5] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,7,1,5,2,6] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,7,1,5,6,2] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,7,1,6,2,5] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,7,1,6,5,2] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,7,2,1,5,6] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[4,3,7,2,1,6,5] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[4,3,7,2,5,1,6] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[4,3,7,2,5,6,1] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[4,3,7,2,6,1,5] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[4,3,7,2,6,5,1] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[4,3,7,5,1,2,6] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,7,5,1,6,2] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,7,5,2,1,6] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[4,3,7,5,2,6,1] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,3,7,5,6,1,2] => [4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,3,7,5,6,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[4,3,7,6,1,2,5] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,7,6,1,5,2] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[4,3,7,6,2,1,5] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[4,3,7,6,2,5,1] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[4,3,7,6,5,1,2] => [4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[4,3,7,6,5,2,1] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[4,5,1,2,3,6,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,2,3,7,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,2,6,3,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,2,6,7,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,2,7,3,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,2,7,6,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,3,2,6,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,3,2,7,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,3,6,2,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,3,6,7,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,3,7,2,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,3,7,6,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,6,2,3,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,6,2,7,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,6,3,2,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,6,3,7,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,6,7,2,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,6,7,3,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,7,2,3,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,7,2,6,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,7,3,2,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,7,3,6,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,7,6,2,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,1,7,6,3,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,5,2,1,3,6,7] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,2,1,3,7,6] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,2,1,6,3,7] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,2,1,6,7,3] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,2,1,7,3,6] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,2,1,7,6,3] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,2,3,1,6,7] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,2,3,1,7,6] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,2,3,6,1,7] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,5,2,3,6,7,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,5,2,3,7,1,6] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,5,2,3,7,6,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,5,2,6,1,3,7] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,2,6,1,7,3] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,2,6,3,1,7] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,5,2,6,3,7,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,5,2,6,7,1,3] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,5,2,6,7,3,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,5,2,7,1,3,6] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,2,7,1,6,3] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,2,7,3,1,6] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,5,2,7,3,6,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,5,2,7,6,1,3] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,5,2,7,6,3,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,5,3,1,2,6,7] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,3,1,2,7,6] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,3,1,6,2,7] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,3,1,6,7,2] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,3,1,7,2,6] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,3,1,7,6,2] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,3,2,1,6,7] => [4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[4,5,3,2,1,7,6] => [4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[4,5,3,2,6,1,7] => [4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[4,5,3,2,6,7,1] => [4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[4,5,3,2,7,1,6] => [4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[4,5,3,2,7,6,1] => [4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[4,5,3,6,1,2,7] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,3,6,1,7,2] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,3,6,2,1,7] => [4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[4,5,3,6,2,7,1] => [4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[4,5,3,6,7,1,2] => [4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,5,3,6,7,2,1] => [4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[4,5,3,7,1,2,6] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,3,7,1,6,2] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,5,3,7,2,1,6] => [4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[4,5,3,7,2,6,1] => [4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[4,5,3,7,6,1,2] => [4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,5,3,7,6,2,1] => [4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[4,5,6,1,2,3,7] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,6,1,2,7,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,6,1,3,2,7] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,6,1,3,7,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,6,1,7,2,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,6,1,7,3,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,6,2,1,3,7] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,6,2,1,7,3] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,6,2,3,1,7] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,5,6,2,3,7,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,5,6,2,7,1,3] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,5,6,2,7,3,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,5,6,3,1,2,7] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,6,3,1,7,2] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,6,3,2,1,7] => [4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[4,5,6,3,2,7,1] => [4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[4,5,6,3,7,1,2] => [4,7,6,3,5,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,5,6,3,7,2,1] => [4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[4,5,6,7,1,2,3] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,6,7,1,3,2] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,6,7,2,1,3] => [4,7,6,5,2,1,3] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,5,6,7,2,3,1] => [4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[4,5,6,7,3,1,2] => [4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,5,6,7,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1
[4,5,7,1,2,3,6] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,7,1,2,6,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,7,1,3,2,6] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,7,1,3,6,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,7,1,6,2,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,7,1,6,3,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,5,7,2,1,3,6] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,7,2,1,6,3] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,7,2,3,1,6] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,5,7,2,3,6,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,5,7,2,6,1,3] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,5,7,2,6,3,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,5,7,3,1,2,6] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,7,3,1,6,2] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,7,3,2,1,6] => [4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[4,5,7,3,2,6,1] => [4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[4,5,7,3,6,1,2] => [4,7,6,3,5,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,5,7,3,6,2,1] => [4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[4,5,7,6,1,2,3] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,7,6,1,3,2] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,5,7,6,2,1,3] => [4,7,6,5,2,1,3] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,5,7,6,2,3,1] => [4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[4,5,7,6,3,1,2] => [4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,5,7,6,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1
[4,6,1,2,3,5,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,2,3,7,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,2,5,3,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,2,5,7,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,2,7,3,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,2,7,5,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,3,2,5,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,3,2,7,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,3,5,2,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,3,5,7,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,3,7,2,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,3,7,5,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,5,2,3,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,5,2,7,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,5,3,2,7] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,5,3,7,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,5,7,2,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,5,7,3,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,7,2,3,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,7,2,5,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,7,3,2,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,7,3,5,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,7,5,2,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,1,7,5,3,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,6,2,1,3,5,7] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,2,1,3,7,5] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,2,1,5,3,7] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,2,1,5,7,3] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,2,1,7,3,5] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,2,1,7,5,3] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,2,3,1,5,7] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,2,3,1,7,5] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,2,3,5,1,7] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,6,2,3,5,7,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,6,2,3,7,1,5] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,6,2,3,7,5,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,6,2,5,1,3,7] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,2,5,1,7,3] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,2,5,3,1,7] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,6,2,5,3,7,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,6,2,5,7,1,3] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,6,2,5,7,3,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,6,2,7,1,3,5] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,2,7,1,5,3] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,2,7,3,1,5] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,6,2,7,3,5,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,6,2,7,5,1,3] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,6,2,7,5,3,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,6,3,1,2,5,7] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,3,1,2,7,5] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,3,1,5,2,7] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,3,1,5,7,2] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,3,1,7,2,5] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,3,1,7,5,2] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,3,2,1,5,7] => [4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[4,6,3,2,1,7,5] => [4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[4,6,3,2,5,1,7] => [4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[4,6,3,2,5,7,1] => [4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[4,6,3,2,7,1,5] => [4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[4,6,3,2,7,5,1] => [4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[4,6,3,5,1,2,7] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,3,5,1,7,2] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,3,5,2,1,7] => [4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[4,6,3,5,2,7,1] => [4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[4,6,3,5,7,1,2] => [4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,6,3,5,7,2,1] => [4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[4,6,3,7,1,2,5] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,3,7,1,5,2] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,6,3,7,2,1,5] => [4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[4,6,3,7,2,5,1] => [4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[4,6,3,7,5,1,2] => [4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,6,3,7,5,2,1] => [4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[4,6,5,1,2,3,7] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,5,1,2,7,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,5,1,3,2,7] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,5,1,3,7,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,5,1,7,2,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,5,1,7,3,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,5,2,1,3,7] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,5,2,1,7,3] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,5,2,3,1,7] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,6,5,2,3,7,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,6,5,2,7,1,3] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,6,5,2,7,3,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,6,5,3,1,2,7] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,5,3,1,7,2] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,5,3,2,1,7] => [4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[4,6,5,3,2,7,1] => [4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[4,6,5,3,7,1,2] => [4,7,6,3,5,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,6,5,3,7,2,1] => [4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[4,6,5,7,1,2,3] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,5,7,1,3,2] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,5,7,2,1,3] => [4,7,6,5,2,1,3] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,6,5,7,2,3,1] => [4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[4,6,5,7,3,1,2] => [4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,6,5,7,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1
[4,6,7,1,2,3,5] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,7,1,2,5,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,7,1,3,2,5] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,7,1,3,5,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,7,1,5,2,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,7,1,5,3,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,6,7,2,1,3,5] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,7,2,1,5,3] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,7,2,3,1,5] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,6,7,2,3,5,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,6,7,2,5,1,3] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,6,7,2,5,3,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,6,7,3,1,2,5] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,7,3,1,5,2] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,7,3,2,1,5] => [4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[4,6,7,3,2,5,1] => [4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[4,6,7,3,5,1,2] => [4,7,6,3,5,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,6,7,3,5,2,1] => [4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[4,6,7,5,1,2,3] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,7,5,1,3,2] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,6,7,5,2,1,3] => [4,7,6,5,2,1,3] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,6,7,5,2,3,1] => [4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[4,6,7,5,3,1,2] => [4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,6,7,5,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1
[4,7,1,2,3,5,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,2,3,6,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,2,5,3,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,2,5,6,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,2,6,3,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,2,6,5,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,3,2,5,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,3,2,6,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,3,5,2,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,3,5,6,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,3,6,2,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,3,6,5,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,5,2,3,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,5,2,6,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,5,3,2,6] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,5,3,6,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,5,6,2,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,5,6,3,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,6,2,3,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,6,2,5,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,6,3,2,5] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,6,3,5,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,6,5,2,3] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,1,6,5,3,2] => [4,7,1,6,5,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,7,2,1,3,5,6] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,2,1,3,6,5] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,2,1,5,3,6] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,2,1,5,6,3] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,2,1,6,3,5] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,2,1,6,5,3] => [4,7,2,1,6,5,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,2,3,1,5,6] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,2,3,1,6,5] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,2,3,5,1,6] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,3,5,6,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,7,2,3,6,1,5] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,3,6,5,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,7,2,5,1,3,6] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,2,5,1,6,3] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,2,5,3,1,6] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,5,3,6,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,7,2,5,6,1,3] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,5,6,3,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,7,2,6,1,3,5] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,2,6,1,5,3] => [4,7,2,6,1,5,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,2,6,3,1,5] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,6,3,5,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,7,2,6,5,1,3] => [4,7,2,6,5,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,6,5,3,1] => [4,7,2,6,5,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[4,7,3,1,2,5,6] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,3,1,2,6,5] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,3,1,5,2,6] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,3,1,5,6,2] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,3,1,6,2,5] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,3,1,6,5,2] => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,3,2,1,5,6] => [4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[4,7,3,2,1,6,5] => [4,7,3,2,1,6,5] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[4,7,3,2,5,1,6] => [4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[4,7,3,2,5,6,1] => [4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[4,7,3,2,6,1,5] => [4,7,3,2,6,1,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[4,7,3,2,6,5,1] => [4,7,3,2,6,5,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[4,7,3,5,1,2,6] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,3,5,1,6,2] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,3,5,2,1,6] => [4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[4,7,3,5,2,6,1] => [4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[4,7,3,5,6,1,2] => [4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,3,5,6,2,1] => [4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[4,7,3,6,1,2,5] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,3,6,1,5,2] => [4,7,3,6,1,5,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,3,6,2,1,5] => [4,7,3,6,2,1,5] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[4,7,3,6,2,5,1] => [4,7,3,6,2,5,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[4,7,3,6,5,1,2] => [4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,3,6,5,2,1] => [4,7,3,6,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[4,7,5,1,2,3,6] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,5,1,2,6,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,5,1,3,2,6] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,5,1,3,6,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,5,1,6,2,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,5,1,6,3,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,5,2,1,3,6] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,5,2,1,6,3] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,5,2,3,1,6] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,7,5,2,3,6,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,7,5,2,6,1,3] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,7,5,2,6,3,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,7,5,3,1,2,6] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,5,3,1,6,2] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,5,3,2,1,6] => [4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[4,7,5,3,2,6,1] => [4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[4,7,5,3,6,1,2] => [4,7,6,3,5,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,7,5,3,6,2,1] => [4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[4,7,5,6,1,2,3] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,5,6,1,3,2] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,5,6,2,1,3] => [4,7,6,5,2,1,3] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,7,5,6,2,3,1] => [4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[4,7,5,6,3,1,2] => [4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,7,5,6,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1
[4,7,6,1,2,3,5] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,6,1,2,5,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,6,1,3,2,5] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,6,1,3,5,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,6,1,5,2,3] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,6,1,5,3,2] => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[4,7,6,2,1,3,5] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,6,2,1,5,3] => [4,7,6,2,1,5,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,6,2,3,1,5] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,7,6,2,3,5,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,7,6,2,5,1,3] => [4,7,6,2,5,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,7,6,2,5,3,1] => [4,7,6,2,5,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[4,7,6,3,1,2,5] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,6,3,1,5,2] => [4,7,6,3,1,5,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,6,3,2,1,5] => [4,7,6,3,2,1,5] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[4,7,6,3,2,5,1] => [4,7,6,3,2,5,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[4,7,6,3,5,1,2] => [4,7,6,3,5,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[4,7,6,3,5,2,1] => [4,7,6,3,5,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[4,7,6,5,1,2,3] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,6,5,1,3,2] => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[4,7,6,5,2,1,3] => [4,7,6,5,2,1,3] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,7,6,5,2,3,1] => [4,7,6,5,2,3,1] => [[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 2
[4,7,6,5,3,1,2] => [4,7,6,5,3,1,2] => [[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 2
[4,7,6,5,3,2,1] => [4,7,6,5,3,2,1] => [[[[.,[[[.,.],.],.]],.],.],.] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1
[5,1,2,3,4,6,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,3,4,7,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,3,6,4,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,3,6,7,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,3,7,4,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,3,7,6,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,4,3,6,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,4,3,7,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,4,6,3,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,4,6,7,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,4,7,3,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,4,7,6,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,6,3,4,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,6,3,7,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,6,4,3,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,6,4,7,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,6,7,3,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,6,7,4,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,7,3,4,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,7,3,6,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,7,4,3,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,7,4,6,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,7,6,3,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,2,7,6,4,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,2,4,6,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,2,4,7,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,2,6,4,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,2,6,7,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,2,7,4,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,2,7,6,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,4,2,6,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,4,2,7,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,4,6,2,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,4,6,7,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,4,7,2,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,4,7,6,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,6,2,4,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,6,2,7,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,6,4,2,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,6,4,7,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,6,7,2,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,6,7,4,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,7,2,4,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,7,2,6,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,7,4,2,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,7,4,6,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,7,6,2,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,3,7,6,4,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,2,3,6,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,2,3,7,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,2,6,3,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,2,6,7,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,2,7,3,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,2,7,6,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,3,2,6,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,3,2,7,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,3,6,2,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,3,6,7,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,3,7,2,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,3,7,6,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,6,2,3,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,6,2,7,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,6,3,2,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,6,3,7,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,6,7,2,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,6,7,3,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,7,2,3,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,7,2,6,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,7,3,2,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,7,3,6,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,7,6,2,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,4,7,6,3,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,2,3,4,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,2,3,7,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,2,4,3,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,2,4,7,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,2,7,3,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,2,7,4,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,3,2,4,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,3,2,7,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,3,4,2,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,3,4,7,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,3,7,2,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,3,7,4,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,4,2,3,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,4,2,7,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,4,3,2,7] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,4,3,7,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,4,7,2,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,4,7,3,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,7,2,3,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,7,2,4,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,7,3,2,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,7,3,4,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,7,4,2,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,6,7,4,3,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,2,3,4,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,2,3,6,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,2,4,3,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,2,4,6,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,2,6,3,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,2,6,4,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,3,2,4,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,3,2,6,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,3,4,2,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,3,4,6,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,3,6,2,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,3,6,4,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,4,2,3,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,4,2,6,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,4,3,2,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,4,3,6,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,4,6,2,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,4,6,3,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,6,2,3,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,6,2,4,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,6,3,2,4] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,6,3,4,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,6,4,2,3] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,1,7,6,4,3,2] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[5,2,1,3,4,6,7] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,3,4,7,6] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,3,6,4,7] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,3,6,7,4] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,3,7,4,6] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,3,7,6,4] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,4,3,6,7] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,4,3,7,6] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,4,6,3,7] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,4,6,7,3] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,4,7,3,6] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,4,7,6,3] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,6,3,4,7] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,6,3,7,4] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,6,4,3,7] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,6,4,7,3] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,6,7,3,4] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,6,7,4,3] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,7,3,4,6] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,7,3,6,4] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,7,4,3,6] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,7,4,6,3] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,7,6,3,4] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,1,7,6,4,3] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,2,3,1,4,6,7] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,3,1,4,7,6] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,3,1,6,4,7] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,3,1,6,7,4] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,3,1,7,4,6] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,3,1,7,6,4] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,3,4,1,6,7] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,3,4,1,7,6] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,3,4,6,1,7] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,3,4,6,7,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,3,4,7,1,6] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,3,4,7,6,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,3,6,1,4,7] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,3,6,1,7,4] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,3,6,4,1,7] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,3,6,4,7,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,3,6,7,1,4] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,3,6,7,4,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,3,7,1,4,6] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,3,7,1,6,4] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,3,7,4,1,6] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,3,7,4,6,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,3,7,6,1,4] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,3,7,6,4,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,4,1,3,6,7] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,4,1,3,7,6] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,4,1,6,3,7] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,4,1,6,7,3] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,4,1,7,3,6] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,4,1,7,6,3] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,4,3,1,6,7] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,4,3,1,7,6] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,4,3,6,1,7] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,4,3,6,7,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,4,3,7,1,6] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,4,3,7,6,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,4,6,1,3,7] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,4,6,1,7,3] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,4,6,3,1,7] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,4,6,3,7,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,4,6,7,1,3] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,4,6,7,3,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,4,7,1,3,6] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,4,7,1,6,3] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,4,7,3,1,6] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,4,7,3,6,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,4,7,6,1,3] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,4,7,6,3,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,6,1,3,4,7] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,6,1,3,7,4] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,6,1,4,3,7] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,6,1,4,7,3] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,6,1,7,3,4] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,6,1,7,4,3] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,6,3,1,4,7] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,6,3,1,7,4] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,6,3,4,1,7] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,6,3,4,7,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,6,3,7,1,4] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,6,3,7,4,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,6,4,1,3,7] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,6,4,1,7,3] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,6,4,3,1,7] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,6,4,3,7,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,6,4,7,1,3] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,6,4,7,3,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,6,7,1,3,4] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,6,7,1,4,3] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,6,7,3,1,4] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,6,7,3,4,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,6,7,4,1,3] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,6,7,4,3,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,7,1,3,4,6] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,7,1,3,6,4] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,7,1,4,3,6] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,7,1,4,6,3] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,7,1,6,3,4] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,7,1,6,4,3] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,7,3,1,4,6] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,7,3,1,6,4] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,7,3,4,1,6] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,7,3,4,6,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,7,3,6,1,4] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,7,3,6,4,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,7,4,1,3,6] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,7,4,1,6,3] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,7,4,3,1,6] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,7,4,3,6,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,7,4,6,1,3] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,7,4,6,3,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,7,6,1,3,4] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,7,6,1,4,3] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,2,7,6,3,1,4] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,7,6,3,4,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,2,7,6,4,1,3] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,2,7,6,4,3,1] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[5,3,1,2,4,6,7] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,2,4,7,6] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,2,6,4,7] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,2,6,7,4] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,2,7,4,6] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,2,7,6,4] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,4,2,6,7] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,4,2,7,6] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,4,6,2,7] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,4,6,7,2] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,4,7,2,6] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,4,7,6,2] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,6,2,4,7] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,6,2,7,4] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,6,4,2,7] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,6,4,7,2] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,6,7,2,4] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,6,7,4,2] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,7,2,4,6] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,7,2,6,4] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,7,4,2,6] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,7,4,6,2] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,7,6,2,4] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,1,7,6,4,2] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,3,2,1,4,6,7] => [5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,3,2,1,4,7,6] => [5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,3,2,1,6,4,7] => [5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,3,2,1,6,7,4] => [5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,3,2,1,7,4,6] => [5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,3,2,1,7,6,4] => [5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,3,2,4,1,6,7] => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,3,2,4,1,7,6] => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,3,2,4,6,1,7] => [5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,3,2,4,6,7,1] => [5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,3,2,4,7,1,6] => [5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,3,2,4,7,6,1] => [5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,3,2,6,1,4,7] => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,3,2,6,1,7,4] => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,3,2,6,4,1,7] => [5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,3,2,6,4,7,1] => [5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,3,2,6,7,1,4] => [5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,3,2,6,7,4,1] => [5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,3,2,7,1,4,6] => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,3,2,7,1,6,4] => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,3,2,7,4,1,6] => [5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,3,2,7,4,6,1] => [5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,3,2,7,6,1,4] => [5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,3,2,7,6,4,1] => [5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,3,4,1,2,6,7] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,4,1,2,7,6] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,4,1,6,2,7] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,4,1,6,7,2] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,4,1,7,2,6] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,4,1,7,6,2] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,4,2,1,6,7] => [5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,3,4,2,1,7,6] => [5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,3,4,2,6,1,7] => [5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,3,4,2,6,7,1] => [5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,3,4,2,7,1,6] => [5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,3,4,2,7,6,1] => [5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,3,4,6,1,2,7] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,4,6,1,7,2] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,4,6,2,1,7] => [5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,3,4,6,2,7,1] => [5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[5,3,4,6,7,1,2] => [5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,3,4,6,7,2,1] => [5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[5,3,4,7,1,2,6] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,4,7,1,6,2] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,4,7,2,1,6] => [5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,3,4,7,2,6,1] => [5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[5,3,4,7,6,1,2] => [5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,3,4,7,6,2,1] => [5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[5,3,6,1,2,4,7] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,6,1,2,7,4] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,6,1,4,2,7] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,6,1,4,7,2] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,6,1,7,2,4] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,6,1,7,4,2] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,6,2,1,4,7] => [5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,3,6,2,1,7,4] => [5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,3,6,2,4,1,7] => [5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,3,6,2,4,7,1] => [5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,3,6,2,7,1,4] => [5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,3,6,2,7,4,1] => [5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,3,6,4,1,2,7] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,6,4,1,7,2] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,6,4,2,1,7] => [5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,3,6,4,2,7,1] => [5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[5,3,6,4,7,1,2] => [5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,3,6,4,7,2,1] => [5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[5,3,6,7,1,2,4] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,6,7,1,4,2] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,6,7,2,1,4] => [5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,3,6,7,2,4,1] => [5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[5,3,6,7,4,1,2] => [5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,3,6,7,4,2,1] => [5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[5,3,7,1,2,4,6] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,7,1,2,6,4] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,7,1,4,2,6] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,7,1,4,6,2] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,7,1,6,2,4] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,7,1,6,4,2] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,7,2,1,4,6] => [5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,3,7,2,1,6,4] => [5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,3,7,2,4,1,6] => [5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,3,7,2,4,6,1] => [5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,3,7,2,6,1,4] => [5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,3,7,2,6,4,1] => [5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,3,7,4,1,2,6] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,7,4,1,6,2] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,7,4,2,1,6] => [5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,3,7,4,2,6,1] => [5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[5,3,7,4,6,1,2] => [5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,3,7,4,6,2,1] => [5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[5,3,7,6,1,2,4] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,7,6,1,4,2] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,3,7,6,2,1,4] => [5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,3,7,6,2,4,1] => [5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[5,3,7,6,4,1,2] => [5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[5,3,7,6,4,2,1] => [5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[5,4,1,2,3,6,7] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,2,3,7,6] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,2,6,3,7] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,2,6,7,3] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,2,7,3,6] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,2,7,6,3] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,3,2,6,7] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,3,2,7,6] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,3,6,2,7] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,3,6,7,2] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,3,7,2,6] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,3,7,6,2] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,6,2,3,7] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,6,2,7,3] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,6,3,2,7] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,6,3,7,2] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,6,7,2,3] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,6,7,3,2] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,7,2,3,6] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,7,2,6,3] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,7,3,2,6] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,7,3,6,2] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,7,6,2,3] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,1,7,6,3,2] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[5,4,2,1,3,6,7] => [5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,2,1,3,7,6] => [5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,2,1,6,3,7] => [5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,2,1,6,7,3] => [5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,2,1,7,3,6] => [5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,2,1,7,6,3] => [5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,2,3,1,6,7] => [5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,2,3,1,7,6] => [5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,2,3,6,1,7] => [5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,4,2,3,6,7,1] => [5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,4,2,3,7,1,6] => [5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,4,2,3,7,6,1] => [5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,4,2,6,1,3,7] => [5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,2,6,1,7,3] => [5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,2,6,3,1,7] => [5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,4,2,6,3,7,1] => [5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,4,2,6,7,1,3] => [5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,4,2,6,7,3,1] => [5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,4,2,7,1,3,6] => [5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,2,7,1,6,3] => [5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,2,7,3,1,6] => [5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,4,2,7,3,6,1] => [5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,4,2,7,6,1,3] => [5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,4,2,7,6,3,1] => [5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[5,4,3,1,2,6,7] => [5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,3,1,2,7,6] => [5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,3,1,6,2,7] => [5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,3,1,6,7,2] => [5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,3,1,7,2,6] => [5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,3,1,7,6,2] => [5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[5,4,3,2,1,6,7] => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[5,4,3,2,6,1,7] => [5,4,3,2,7,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[5,4,3,2,6,7,1] => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[5,4,3,2,7,1,6] => [5,4,3,2,7,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[5,4,3,2,7,6,1] => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[5,4,3,6,1,2,7] => [5,4,3,7,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,3,6,1,7,2] => [5,4,3,7,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,3,6,2,1,7] => [5,4,3,7,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[5,4,3,6,2,7,1] => [5,4,3,7,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[5,4,3,6,7,1,2] => [5,4,3,7,6,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,4,3,6,7,2,1] => [5,4,3,7,6,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[5,4,3,7,1,2,6] => [5,4,3,7,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,3,7,1,6,2] => [5,4,3,7,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[5,4,3,7,2,1,6] => [5,4,3,7,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[5,4,3,7,2,6,1] => [5,4,3,7,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[5,4,3,7,6,1,2] => [5,4,3,7,6,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[5,4,3,7,6,2,1] => [5,4,3,7,6,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[5,4,6,1,2,3,7] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,6,1,2,7,3] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,6,1,3,2,7] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,6,1,3,7,2] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,6,1,7,2,3] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,6,1,7,3,2] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,6,2,1,3,7] => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,4,6,2,1,7,3] => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,4,6,2,3,1,7] => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,4,6,2,3,7,1] => [5,4,7,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,4,6,2,7,1,3] => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,4,6,2,7,3,1] => [5,4,7,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,4,6,3,1,2,7] => [5,4,7,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,4,6,3,1,7,2] => [5,4,7,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,4,6,3,2,1,7] => [5,4,7,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[5,4,6,3,2,7,1] => [5,4,7,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[5,4,6,3,7,1,2] => [5,4,7,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,4,6,3,7,2,1] => [5,4,7,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[5,4,6,7,1,2,3] => [5,4,7,6,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,4,6,7,1,3,2] => [5,4,7,6,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,4,6,7,2,1,3] => [5,4,7,6,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,4,6,7,2,3,1] => [5,4,7,6,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[5,4,6,7,3,1,2] => [5,4,7,6,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,4,6,7,3,2,1] => [5,4,7,6,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1
[5,4,7,1,2,3,6] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,7,1,2,6,3] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,7,1,3,2,6] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,7,1,3,6,2] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,7,1,6,2,3] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,7,1,6,3,2] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,7,2,1,3,6] => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,4,7,2,1,6,3] => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,4,7,2,3,1,6] => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,4,7,2,3,6,1] => [5,4,7,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,4,7,2,6,1,3] => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,4,7,2,6,3,1] => [5,4,7,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[5,4,7,3,1,2,6] => [5,4,7,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,4,7,3,1,6,2] => [5,4,7,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[5,4,7,3,2,1,6] => [5,4,7,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[5,4,7,3,2,6,1] => [5,4,7,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[5,4,7,3,6,1,2] => [5,4,7,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[5,4,7,3,6,2,1] => [5,4,7,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[5,4,7,6,1,2,3] => [5,4,7,6,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,4,7,6,1,3,2] => [5,4,7,6,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[5,4,7,6,2,1,3] => [5,4,7,6,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,4,7,6,2,3,1] => [5,4,7,6,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[5,4,7,6,3,1,2] => [5,4,7,6,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[5,4,7,6,3,2,1] => [5,4,7,6,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1
[5,6,1,2,3,4,7] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,2,3,7,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,2,4,3,7] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,2,4,7,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,2,7,3,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,2,7,4,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,3,2,4,7] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,3,2,7,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,3,4,2,7] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,3,4,7,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,3,7,2,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,3,7,4,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,4,2,3,7] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,4,2,7,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,4,3,2,7] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,4,3,7,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,4,7,2,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,4,7,3,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,7,2,3,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,7,2,4,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,7,3,2,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,7,3,4,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,7,4,2,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,1,7,4,3,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,6,2,1,3,4,7] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,2,1,3,7,4] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,2,1,4,3,7] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,2,1,4,7,3] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,2,1,7,3,4] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,2,1,7,4,3] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,2,3,1,4,7] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,3,1,7,4] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,3,4,1,7] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,2,3,4,7,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,6,2,3,7,1,4] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,2,3,7,4,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,6,2,4,1,3,7] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,4,1,7,3] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,4,3,1,7] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,2,4,3,7,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,6,2,4,7,1,3] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,2,4,7,3,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,6,2,7,1,3,4] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,7,1,4,3] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,7,3,1,4] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,2,7,3,4,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,6,2,7,4,1,3] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,2,7,4,3,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,6,3,1,2,4,7] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,3,1,2,7,4] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,3,1,4,2,7] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,3,1,4,7,2] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,3,1,7,2,4] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,3,1,7,4,2] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,3,2,1,4,7] => [5,7,3,2,1,6,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,6,3,2,1,7,4] => [5,7,3,2,1,6,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,6,3,2,4,1,7] => [5,7,3,2,6,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,6,3,2,4,7,1] => [5,7,3,2,6,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,6,3,2,7,1,4] => [5,7,3,2,6,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,6,3,2,7,4,1] => [5,7,3,2,6,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,6,3,4,1,2,7] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,3,4,1,7,2] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,3,4,2,1,7] => [5,7,3,6,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,6,3,4,2,7,1] => [5,7,3,6,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[5,6,3,4,7,1,2] => [5,7,3,6,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,3,4,7,2,1] => [5,7,3,6,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[5,6,3,7,1,2,4] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,3,7,1,4,2] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,3,7,2,1,4] => [5,7,3,6,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,6,3,7,2,4,1] => [5,7,3,6,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[5,6,3,7,4,1,2] => [5,7,3,6,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,6,3,7,4,2,1] => [5,7,3,6,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[5,6,4,1,2,3,7] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,4,1,2,7,3] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,4,1,3,2,7] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,4,1,3,7,2] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,4,1,7,2,3] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,4,1,7,3,2] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,4,2,1,3,7] => [5,7,4,2,1,6,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,6,4,2,1,7,3] => [5,7,4,2,1,6,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,6,4,2,3,1,7] => [5,7,4,2,6,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,6,4,2,3,7,1] => [5,7,4,2,6,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,6,4,2,7,1,3] => [5,7,4,2,6,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,6,4,2,7,3,1] => [5,7,4,2,6,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,6,4,3,1,2,7] => [5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,6,4,3,1,7,2] => [5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,6,4,3,2,1,7] => [5,7,4,3,2,1,6] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[5,6,4,3,2,7,1] => [5,7,4,3,2,6,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[5,6,4,3,7,1,2] => [5,7,4,3,6,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,6,4,3,7,2,1] => [5,7,4,3,6,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[5,6,4,7,1,2,3] => [5,7,4,6,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,4,7,1,3,2] => [5,7,4,6,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,4,7,2,1,3] => [5,7,4,6,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,6,4,7,2,3,1] => [5,7,4,6,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[5,6,4,7,3,1,2] => [5,7,4,6,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,6,4,7,3,2,1] => [5,7,4,6,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[5,6,7,1,2,3,4] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,7,1,2,4,3] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,7,1,3,2,4] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,7,1,3,4,2] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,7,1,4,2,3] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,7,1,4,3,2] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,6,7,2,1,3,4] => [5,7,6,2,1,4,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,7,2,1,4,3] => [5,7,6,2,1,4,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,7,2,3,1,4] => [5,7,6,2,4,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[5,6,7,2,3,4,1] => [5,7,6,2,4,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[5,6,7,2,4,1,3] => [5,7,6,2,4,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[5,6,7,2,4,3,1] => [5,7,6,2,4,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[5,6,7,3,1,2,4] => [5,7,6,3,1,4,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,7,3,1,4,2] => [5,7,6,3,1,4,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,7,3,2,1,4] => [5,7,6,3,2,1,4] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[5,6,7,3,2,4,1] => [5,7,6,3,2,4,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[5,6,7,3,4,1,2] => [5,7,6,3,4,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[5,6,7,3,4,2,1] => [5,7,6,3,4,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[5,6,7,4,1,2,3] => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,7,4,1,3,2] => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,6,7,4,2,1,3] => [5,7,6,4,2,1,3] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[5,6,7,4,2,3,1] => [5,7,6,4,2,3,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[5,6,7,4,3,1,2] => [5,7,6,4,3,1,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[5,6,7,4,3,2,1] => [5,7,6,4,3,2,1] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1
[5,7,1,2,3,4,6] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,2,3,6,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,2,4,3,6] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,2,4,6,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,2,6,3,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,2,6,4,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,3,2,4,6] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,3,2,6,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,3,4,2,6] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,3,4,6,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,3,6,2,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,3,6,4,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,4,2,3,6] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,4,2,6,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,4,3,2,6] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,4,3,6,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,4,6,2,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,4,6,3,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,6,2,3,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,6,2,4,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,6,3,2,4] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,6,3,4,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,6,4,2,3] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,1,6,4,3,2] => [5,7,1,6,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[5,7,2,1,3,4,6] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,2,1,3,6,4] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,2,1,4,3,6] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,2,1,4,6,3] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,2,1,6,3,4] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,2,1,6,4,3] => [5,7,2,1,6,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,2,3,1,4,6] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,2,3,1,6,4] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,2,3,4,1,6] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,7,2,3,4,6,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,7,2,3,6,1,4] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,7,2,3,6,4,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,7,2,4,1,3,6] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,2,4,1,6,3] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,2,4,3,1,6] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,7,2,4,3,6,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,7,2,4,6,1,3] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,7,2,4,6,3,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,7,2,6,1,3,4] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,2,6,1,4,3] => [5,7,2,6,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,2,6,3,1,4] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,7,2,6,3,4,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,7,2,6,4,1,3] => [5,7,2,6,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,7,2,6,4,3,1] => [5,7,2,6,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[5,7,3,1,2,4,6] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,3,1,2,6,4] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,3,1,4,2,6] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,3,1,4,6,2] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,3,1,6,2,4] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,3,1,6,4,2] => [5,7,3,1,6,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,3,2,1,4,6] => [5,7,3,2,1,6,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,7,3,2,1,6,4] => [5,7,3,2,1,6,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,7,3,2,4,1,6] => [5,7,3,2,6,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,7,3,2,4,6,1] => [5,7,3,2,6,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,7,3,2,6,1,4] => [5,7,3,2,6,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,7,3,2,6,4,1] => [5,7,3,2,6,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,7,3,4,1,2,6] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,3,4,1,6,2] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,3,4,2,1,6] => [5,7,3,6,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,7,3,4,2,6,1] => [5,7,3,6,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[5,7,3,4,6,1,2] => [5,7,3,6,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,7,3,4,6,2,1] => [5,7,3,6,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[5,7,3,6,1,2,4] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,3,6,1,4,2] => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,3,6,2,1,4] => [5,7,3,6,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,7,3,6,2,4,1] => [5,7,3,6,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[5,7,3,6,4,1,2] => [5,7,3,6,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[5,7,3,6,4,2,1] => [5,7,3,6,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[5,7,4,1,2,3,6] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,4,1,2,6,3] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,4,1,3,2,6] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,4,1,3,6,2] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,4,1,6,2,3] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,4,1,6,3,2] => [5,7,4,1,6,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,4,2,1,3,6] => [5,7,4,2,1,6,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,7,4,2,1,6,3] => [5,7,4,2,1,6,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,7,4,2,3,1,6] => [5,7,4,2,6,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,7,4,2,3,6,1] => [5,7,4,2,6,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,7,4,2,6,1,3] => [5,7,4,2,6,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,7,4,2,6,3,1] => [5,7,4,2,6,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[5,7,4,3,1,2,6] => [5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,7,4,3,1,6,2] => [5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[5,7,4,3,2,1,6] => [5,7,4,3,2,1,6] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[5,7,4,3,2,6,1] => [5,7,4,3,2,6,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[5,7,4,3,6,1,2] => [5,7,4,3,6,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[5,7,4,3,6,2,1] => [5,7,4,3,6,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[5,7,4,6,1,2,3] => [5,7,4,6,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,4,6,1,3,2] => [5,7,4,6,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,7,4,6,2,1,3] => [5,7,4,6,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,7,4,6,2,3,1] => [5,7,4,6,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[5,7,4,6,3,1,2] => [5,7,4,6,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[5,7,4,6,3,2,1] => [5,7,4,6,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[5,7,6,1,2,3,4] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,6,1,2,4,3] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,6,1,3,2,4] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,6,1,3,4,2] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,6,1,4,2,3] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,6,1,4,3,2] => [5,7,6,1,4,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 2
[5,7,6,2,1,3,4] => [5,7,6,2,1,4,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,7,6,2,1,4,3] => [5,7,6,2,1,4,3] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,7,6,2,3,1,4] => [5,7,6,2,4,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[5,7,6,2,3,4,1] => [5,7,6,2,4,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[5,7,6,2,4,1,3] => [5,7,6,2,4,1,3] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[5,7,6,2,4,3,1] => [5,7,6,2,4,3,1] => [[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 2
[5,7,6,3,1,2,4] => [5,7,6,3,1,4,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,7,6,3,1,4,2] => [5,7,6,3,1,4,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,7,6,3,2,1,4] => [5,7,6,3,2,1,4] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[5,7,6,3,2,4,1] => [5,7,6,3,2,4,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[5,7,6,3,4,1,2] => [5,7,6,3,4,1,2] => [[[.,[[.,.],.]],[.,.]],[.,.]] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[5,7,6,3,4,2,1] => [5,7,6,3,4,2,1] => [[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 2
[5,7,6,4,1,2,3] => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,7,6,4,1,3,2] => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[5,7,6,4,2,1,3] => [5,7,6,4,2,1,3] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[5,7,6,4,2,3,1] => [5,7,6,4,2,3,1] => [[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 2
[5,7,6,4,3,1,2] => [5,7,6,4,3,1,2] => [[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 2
[5,7,6,4,3,2,1] => [5,7,6,4,3,2,1] => [[[[[.,[[.,.],.]],.],.],.],.] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1
[6,1,2,3,4,5,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,3,4,7,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,3,5,4,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,3,5,7,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,3,7,4,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,3,7,5,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,4,3,5,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,4,3,7,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,4,5,3,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,4,5,7,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,4,7,3,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,4,7,5,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,5,3,4,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,5,3,7,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,5,4,3,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,5,4,7,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,5,7,3,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,5,7,4,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,7,3,4,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,7,3,5,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,7,4,3,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,7,4,5,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,7,5,3,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,2,7,5,4,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,2,4,5,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,2,4,7,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,2,5,4,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,2,5,7,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,2,7,4,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,2,7,5,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,4,2,5,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,4,2,7,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,4,5,2,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,4,5,7,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,4,7,2,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,4,7,5,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,5,2,4,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,5,2,7,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,5,4,2,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,5,4,7,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,5,7,2,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,5,7,4,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,7,2,4,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,7,2,5,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,7,4,2,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,7,4,5,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,7,5,2,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,3,7,5,4,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,2,3,5,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,2,3,7,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,2,5,3,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,2,5,7,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,2,7,3,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,2,7,5,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,3,2,5,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,3,2,7,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,3,5,2,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,3,5,7,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,3,7,2,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,3,7,5,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,5,2,3,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,5,2,7,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,5,3,2,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,5,3,7,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,5,7,2,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,5,7,3,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,7,2,3,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,7,2,5,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,7,3,2,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,7,3,5,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,7,5,2,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,4,7,5,3,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,2,3,4,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,2,3,7,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,2,4,3,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,2,4,7,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,2,7,3,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,2,7,4,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,3,2,4,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,3,2,7,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,3,4,2,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,3,4,7,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,3,7,2,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,3,7,4,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,4,2,3,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,4,2,7,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,4,3,2,7] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,4,3,7,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,4,7,2,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,4,7,3,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,7,2,3,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,7,2,4,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,7,3,2,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,7,3,4,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,7,4,2,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,5,7,4,3,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,2,3,4,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,2,3,5,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,2,4,3,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,2,4,5,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,2,5,3,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,2,5,4,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,3,2,4,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,3,2,5,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,3,4,2,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,3,4,5,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,3,5,2,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,3,5,4,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,4,2,3,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,4,2,5,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,4,3,2,5] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,4,3,5,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,4,5,2,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,4,5,3,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,5,2,3,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,5,2,4,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,5,3,2,4] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,5,3,4,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,5,4,2,3] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,1,7,5,4,3,2] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[6,2,1,3,4,5,7] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,3,4,7,5] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,3,5,4,7] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,3,5,7,4] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,3,7,4,5] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,3,7,5,4] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,4,3,5,7] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,4,3,7,5] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,4,5,3,7] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,4,5,7,3] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,4,7,3,5] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,4,7,5,3] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,5,3,4,7] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,5,3,7,4] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,5,4,3,7] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,5,4,7,3] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,5,7,3,4] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,5,7,4,3] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,7,3,4,5] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,7,3,5,4] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,7,4,3,5] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,7,4,5,3] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,7,5,3,4] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,1,7,5,4,3] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,2,3,1,4,5,7] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,3,1,4,7,5] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,3,1,5,4,7] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,3,1,5,7,4] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,3,1,7,4,5] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,3,1,7,5,4] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,3,4,1,5,7] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,3,4,1,7,5] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,3,4,5,1,7] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,3,4,5,7,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,3,4,7,1,5] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,3,4,7,5,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,3,5,1,4,7] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,3,5,1,7,4] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,3,5,4,1,7] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,3,5,4,7,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,3,5,7,1,4] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,3,5,7,4,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,3,7,1,4,5] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,3,7,1,5,4] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,3,7,4,1,5] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,3,7,4,5,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,3,7,5,1,4] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,3,7,5,4,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,4,1,3,5,7] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,4,1,3,7,5] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,4,1,5,3,7] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,4,1,5,7,3] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,4,1,7,3,5] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,4,1,7,5,3] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,4,3,1,5,7] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,4,3,1,7,5] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,4,3,5,1,7] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,4,3,5,7,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,4,3,7,1,5] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,4,3,7,5,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,4,5,1,3,7] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,4,5,1,7,3] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,4,5,3,1,7] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,4,5,3,7,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,4,5,7,1,3] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,4,5,7,3,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,4,7,1,3,5] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,4,7,1,5,3] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,4,7,3,1,5] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,4,7,3,5,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,4,7,5,1,3] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,4,7,5,3,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,5,1,3,4,7] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,5,1,3,7,4] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,5,1,4,3,7] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,5,1,4,7,3] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,5,1,7,3,4] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,5,1,7,4,3] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,5,3,1,4,7] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,5,3,1,7,4] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,5,3,4,1,7] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,5,3,4,7,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,5,3,7,1,4] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,5,3,7,4,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,5,4,1,3,7] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,5,4,1,7,3] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,5,4,3,1,7] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,5,4,3,7,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,5,4,7,1,3] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,5,4,7,3,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,5,7,1,3,4] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,5,7,1,4,3] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,5,7,3,1,4] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,5,7,3,4,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,5,7,4,1,3] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,5,7,4,3,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,7,1,3,4,5] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,7,1,3,5,4] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,7,1,4,3,5] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,7,1,4,5,3] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,7,1,5,3,4] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,7,1,5,4,3] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,2,7,3,1,4,5] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,7,3,1,5,4] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,7,3,4,1,5] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,7,3,4,5,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,7,3,5,1,4] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,7,3,5,4,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,7,4,1,3,5] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,7,4,1,5,3] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,7,4,3,1,5] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,7,4,3,5,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,7,4,5,1,3] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,7,4,5,3,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,7,5,1,3,4] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,7,5,1,4,3] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,2,7,5,3,1,4] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,7,5,3,4,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,2,7,5,4,1,3] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,7,5,4,3,1] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[6,3,1,2,4,5,7] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,2,4,7,5] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,2,5,4,7] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,2,5,7,4] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,2,7,4,5] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,2,7,5,4] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,4,2,5,7] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,4,2,7,5] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,4,5,2,7] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,4,5,7,2] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,4,7,2,5] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,4,7,5,2] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,5,2,4,7] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,5,2,7,4] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,5,4,2,7] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,5,4,7,2] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,5,7,2,4] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,5,7,4,2] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,7,2,4,5] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,7,2,5,4] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,7,4,2,5] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,7,4,5,2] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,7,5,2,4] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,1,7,5,4,2] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,3,2,1,4,5,7] => [6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,3,2,1,4,7,5] => [6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,3,2,1,5,4,7] => [6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,3,2,1,5,7,4] => [6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,3,2,1,7,4,5] => [6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,3,2,1,7,5,4] => [6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,3,2,4,1,5,7] => [6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,3,2,4,1,7,5] => [6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,3,2,4,5,1,7] => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,3,2,4,5,7,1] => [6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,3,2,4,7,1,5] => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,3,2,4,7,5,1] => [6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,3,2,5,1,4,7] => [6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,3,2,5,1,7,4] => [6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,3,2,5,4,1,7] => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,3,2,5,4,7,1] => [6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,3,2,5,7,1,4] => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,3,2,5,7,4,1] => [6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,3,2,7,1,4,5] => [6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,3,2,7,1,5,4] => [6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,3,2,7,4,1,5] => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,3,2,7,4,5,1] => [6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,3,2,7,5,1,4] => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,3,2,7,5,4,1] => [6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,3,4,1,2,5,7] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,4,1,2,7,5] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,4,1,5,2,7] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,4,1,5,7,2] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,4,1,7,2,5] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,4,1,7,5,2] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,4,2,1,5,7] => [6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,3,4,2,1,7,5] => [6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,3,4,2,5,1,7] => [6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,3,4,2,5,7,1] => [6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,3,4,2,7,1,5] => [6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,3,4,2,7,5,1] => [6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,3,4,5,1,2,7] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,4,5,1,7,2] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,4,5,2,1,7] => [6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,3,4,5,2,7,1] => [6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[6,3,4,5,7,1,2] => [6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,3,4,5,7,2,1] => [6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[6,3,4,7,1,2,5] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,4,7,1,5,2] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,4,7,2,1,5] => [6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,3,4,7,2,5,1] => [6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[6,3,4,7,5,1,2] => [6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,3,4,7,5,2,1] => [6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[6,3,5,1,2,4,7] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,5,1,2,7,4] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,5,1,4,2,7] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,5,1,4,7,2] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,5,1,7,2,4] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,5,1,7,4,2] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,5,2,1,4,7] => [6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,3,5,2,1,7,4] => [6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,3,5,2,4,1,7] => [6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,3,5,2,4,7,1] => [6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,3,5,2,7,1,4] => [6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,3,5,2,7,4,1] => [6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,3,5,4,1,2,7] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,5,4,1,7,2] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,5,4,2,1,7] => [6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,3,5,4,2,7,1] => [6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[6,3,5,4,7,1,2] => [6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,3,5,4,7,2,1] => [6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[6,3,5,7,1,2,4] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,5,7,1,4,2] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,5,7,2,1,4] => [6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,3,5,7,2,4,1] => [6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[6,3,5,7,4,1,2] => [6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,3,5,7,4,2,1] => [6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[6,3,7,1,2,4,5] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,7,1,2,5,4] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,7,1,4,2,5] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,7,1,4,5,2] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,7,1,5,2,4] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,7,1,5,4,2] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,3,7,2,1,4,5] => [6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,3,7,2,1,5,4] => [6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,3,7,2,4,1,5] => [6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,3,7,2,4,5,1] => [6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,3,7,2,5,1,4] => [6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,3,7,2,5,4,1] => [6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,3,7,4,1,2,5] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,7,4,1,5,2] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,7,4,2,1,5] => [6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,3,7,4,2,5,1] => [6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[6,3,7,4,5,1,2] => [6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,3,7,4,5,2,1] => [6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[6,3,7,5,1,2,4] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,7,5,1,4,2] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,3,7,5,2,1,4] => [6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,3,7,5,2,4,1] => [6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[6,3,7,5,4,1,2] => [6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[6,3,7,5,4,2,1] => [6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[6,4,1,2,3,5,7] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,2,3,7,5] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,2,5,3,7] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,2,5,7,3] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,2,7,3,5] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,2,7,5,3] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,3,2,5,7] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,3,2,7,5] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,3,5,2,7] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,3,5,7,2] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,3,7,2,5] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,3,7,5,2] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,5,2,3,7] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,5,2,7,3] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,5,3,2,7] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,5,3,7,2] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,5,7,2,3] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,5,7,3,2] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,7,2,3,5] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,7,2,5,3] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,7,3,2,5] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,7,3,5,2] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,7,5,2,3] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,1,7,5,3,2] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,4,2,1,3,5,7] => [6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,2,1,3,7,5] => [6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,2,1,5,3,7] => [6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,2,1,5,7,3] => [6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,2,1,7,3,5] => [6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,2,1,7,5,3] => [6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,2,3,1,5,7] => [6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,2,3,1,7,5] => [6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,2,3,5,1,7] => [6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,4,2,3,5,7,1] => [6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,4,2,3,7,1,5] => [6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,4,2,3,7,5,1] => [6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,4,2,5,1,3,7] => [6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,2,5,1,7,3] => [6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,2,5,3,1,7] => [6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,4,2,5,3,7,1] => [6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,4,2,5,7,1,3] => [6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,4,2,5,7,3,1] => [6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,4,2,7,1,3,5] => [6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,2,7,1,5,3] => [6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,2,7,3,1,5] => [6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,4,2,7,3,5,1] => [6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,4,2,7,5,1,3] => [6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,4,2,7,5,3,1] => [6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,4,3,1,2,5,7] => [6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,3,1,2,7,5] => [6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,3,1,5,2,7] => [6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,3,1,5,7,2] => [6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,3,1,7,2,5] => [6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,3,1,7,5,2] => [6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,4,3,2,1,5,7] => [6,4,3,2,1,7,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[6,4,3,2,1,7,5] => [6,4,3,2,1,7,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[6,4,3,2,5,1,7] => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,4,3,2,5,7,1] => [6,4,3,2,7,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[6,4,3,2,7,1,5] => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,4,3,2,7,5,1] => [6,4,3,2,7,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[6,4,3,5,1,2,7] => [6,4,3,7,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,3,5,1,7,2] => [6,4,3,7,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,3,5,2,1,7] => [6,4,3,7,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,4,3,5,2,7,1] => [6,4,3,7,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[6,4,3,5,7,1,2] => [6,4,3,7,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,4,3,5,7,2,1] => [6,4,3,7,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[6,4,3,7,1,2,5] => [6,4,3,7,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,3,7,1,5,2] => [6,4,3,7,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,4,3,7,2,1,5] => [6,4,3,7,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,4,3,7,2,5,1] => [6,4,3,7,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[6,4,3,7,5,1,2] => [6,4,3,7,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,4,3,7,5,2,1] => [6,4,3,7,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[6,4,5,1,2,3,7] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,5,1,2,7,3] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,5,1,3,2,7] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,5,1,3,7,2] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,5,1,7,2,3] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,5,1,7,3,2] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,5,2,1,3,7] => [6,4,7,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,5,2,1,7,3] => [6,4,7,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,5,2,3,1,7] => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,4,5,2,3,7,1] => [6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,4,5,2,7,1,3] => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,4,5,2,7,3,1] => [6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,4,5,3,1,2,7] => [6,4,7,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,5,3,1,7,2] => [6,4,7,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,5,3,2,1,7] => [6,4,7,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[6,4,5,3,2,7,1] => [6,4,7,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[6,4,5,3,7,1,2] => [6,4,7,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,4,5,3,7,2,1] => [6,4,7,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[6,4,5,7,1,2,3] => [6,4,7,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,4,5,7,1,3,2] => [6,4,7,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,4,5,7,2,1,3] => [6,4,7,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,4,5,7,2,3,1] => [6,4,7,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[6,4,5,7,3,1,2] => [6,4,7,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,4,5,7,3,2,1] => [6,4,7,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1
[6,4,7,1,2,3,5] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,7,1,2,5,3] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,7,1,3,2,5] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,7,1,3,5,2] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,7,1,5,2,3] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,7,1,5,3,2] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,4,7,2,1,3,5] => [6,4,7,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,7,2,1,5,3] => [6,4,7,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,7,2,3,1,5] => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,4,7,2,3,5,1] => [6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,4,7,2,5,1,3] => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,4,7,2,5,3,1] => [6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,4,7,3,1,2,5] => [6,4,7,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,7,3,1,5,2] => [6,4,7,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,4,7,3,2,1,5] => [6,4,7,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[6,4,7,3,2,5,1] => [6,4,7,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[6,4,7,3,5,1,2] => [6,4,7,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,4,7,3,5,2,1] => [6,4,7,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[6,4,7,5,1,2,3] => [6,4,7,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,4,7,5,1,3,2] => [6,4,7,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[6,4,7,5,2,1,3] => [6,4,7,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,4,7,5,2,3,1] => [6,4,7,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[6,4,7,5,3,1,2] => [6,4,7,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[6,4,7,5,3,2,1] => [6,4,7,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1
[6,5,1,2,3,4,7] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,2,3,7,4] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,2,4,3,7] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,2,4,7,3] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,2,7,3,4] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,2,7,4,3] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,3,2,4,7] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,3,2,7,4] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,3,4,2,7] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,3,4,7,2] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,3,7,2,4] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,3,7,4,2] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,4,2,3,7] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,4,2,7,3] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,4,3,2,7] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,4,3,7,2] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,4,7,2,3] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,4,7,3,2] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,7,2,3,4] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,7,2,4,3] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,7,3,2,4] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,7,3,4,2] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,7,4,2,3] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,1,7,4,3,2] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[6,5,2,1,3,4,7] => [6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,2,1,3,7,4] => [6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,2,1,4,3,7] => [6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,2,1,4,7,3] => [6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,2,1,7,3,4] => [6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,2,1,7,4,3] => [6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,2,3,1,4,7] => [6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,2,3,1,7,4] => [6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,2,3,4,1,7] => [6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,5,2,3,4,7,1] => [6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,5,2,3,7,1,4] => [6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,5,2,3,7,4,1] => [6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,5,2,4,1,3,7] => [6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,2,4,1,7,3] => [6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,2,4,3,1,7] => [6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,5,2,4,3,7,1] => [6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,5,2,4,7,1,3] => [6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,5,2,4,7,3,1] => [6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,5,2,7,1,3,4] => [6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,2,7,1,4,3] => [6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,2,7,3,1,4] => [6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,5,2,7,3,4,1] => [6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,5,2,7,4,1,3] => [6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,5,2,7,4,3,1] => [6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[6,5,3,1,2,4,7] => [6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,3,1,2,7,4] => [6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,3,1,4,2,7] => [6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,3,1,4,7,2] => [6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,3,1,7,2,4] => [6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,3,1,7,4,2] => [6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,3,2,1,4,7] => [6,5,3,2,1,7,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[6,5,3,2,1,7,4] => [6,5,3,2,1,7,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[6,5,3,2,4,1,7] => [6,5,3,2,7,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,5,3,2,4,7,1] => [6,5,3,2,7,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[6,5,3,2,7,1,4] => [6,5,3,2,7,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,5,3,2,7,4,1] => [6,5,3,2,7,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[6,5,3,4,1,2,7] => [6,5,3,7,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,3,4,1,7,2] => [6,5,3,7,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,3,4,2,1,7] => [6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,5,3,4,2,7,1] => [6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[6,5,3,4,7,1,2] => [6,5,3,7,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,5,3,4,7,2,1] => [6,5,3,7,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[6,5,3,7,1,2,4] => [6,5,3,7,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,3,7,1,4,2] => [6,5,3,7,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,3,7,2,1,4] => [6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,5,3,7,2,4,1] => [6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[6,5,3,7,4,1,2] => [6,5,3,7,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[6,5,3,7,4,2,1] => [6,5,3,7,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[6,5,4,1,2,3,7] => [6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,4,1,2,7,3] => [6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,4,1,3,2,7] => [6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,4,1,3,7,2] => [6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,4,1,7,2,3] => [6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,4,1,7,3,2] => [6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[6,5,4,2,1,3,7] => [6,5,4,2,1,7,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[6,5,4,2,1,7,3] => [6,5,4,2,1,7,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[6,5,4,2,3,1,7] => [6,5,4,2,7,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,5,4,2,3,7,1] => [6,5,4,2,7,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[6,5,4,2,7,1,3] => [6,5,4,2,7,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,5,4,2,7,3,1] => [6,5,4,2,7,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[6,5,4,3,1,2,7] => [6,5,4,3,1,7,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[6,5,4,3,1,7,2] => [6,5,4,3,1,7,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[6,5,4,3,2,7,1] => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1
[6,5,4,3,7,1,2] => [6,5,4,3,7,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[6,5,4,3,7,2,1] => [6,5,4,3,7,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1
[6,5,4,7,1,2,3] => [6,5,4,7,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,4,7,1,3,2] => [6,5,4,7,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[6,5,4,7,2,1,3] => [6,5,4,7,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,5,4,7,2,3,1] => [6,5,4,7,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[6,5,4,7,3,1,2] => [6,5,4,7,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[6,5,4,7,3,2,1] => [6,5,4,7,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1
[6,5,7,1,2,3,4] => [6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,5,7,1,2,4,3] => [6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,5,7,1,3,2,4] => [6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,5,7,1,3,4,2] => [6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,5,7,1,4,2,3] => [6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,5,7,1,4,3,2] => [6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[6,5,7,2,1,3,4] => [6,5,7,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,5,7,2,1,4,3] => [6,5,7,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,5,7,2,3,1,4] => [6,5,7,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,5,7,2,3,4,1] => [6,5,7,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,5,7,2,4,1,3] => [6,5,7,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,5,7,2,4,3,1] => [6,5,7,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[6,5,7,3,1,2,4] => [6,5,7,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,5,7,3,1,4,2] => [6,5,7,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,5,7,3,2,1,4] => [6,5,7,3,2,1,4] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[6,5,7,3,2,4,1] => [6,5,7,3,2,4,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[6,5,7,3,4,1,2] => [6,5,7,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[6,5,7,3,4,2,1] => [6,5,7,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[6,5,7,4,1,2,3] => [6,5,7,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,5,7,4,1,3,2] => [6,5,7,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[6,5,7,4,2,1,3] => [6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[6,5,7,4,2,3,1] => [6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[6,5,7,4,3,1,2] => [6,5,7,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[6,5,7,4,3,2,1] => [6,5,7,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1
[6,7,1,2,3,4,5] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,2,3,5,4] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,2,4,3,5] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,2,4,5,3] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,2,5,3,4] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,2,5,4,3] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,3,2,4,5] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,3,2,5,4] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,3,4,2,5] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,3,4,5,2] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,3,5,2,4] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,3,5,4,2] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,4,2,3,5] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,4,2,5,3] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,4,3,2,5] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,4,3,5,2] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,4,5,2,3] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,4,5,3,2] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,5,2,3,4] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,5,2,4,3] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,5,3,2,4] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,5,3,4,2] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,5,4,2,3] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,1,5,4,3,2] => [6,7,1,5,4,3,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[6,7,2,1,3,4,5] => [6,7,2,1,5,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,2,1,3,5,4] => [6,7,2,1,5,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,2,1,4,3,5] => [6,7,2,1,5,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,2,1,4,5,3] => [6,7,2,1,5,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,2,1,5,3,4] => [6,7,2,1,5,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,2,1,5,4,3] => [6,7,2,1,5,4,3] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,2,3,1,4,5] => [6,7,2,5,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,2,3,1,5,4] => [6,7,2,5,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,2,3,4,1,5] => [6,7,2,5,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[6,7,2,3,4,5,1] => [6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[6,7,2,3,5,1,4] => [6,7,2,5,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[6,7,2,3,5,4,1] => [6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[6,7,2,4,1,3,5] => [6,7,2,5,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,2,4,1,5,3] => [6,7,2,5,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,2,4,3,1,5] => [6,7,2,5,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[6,7,2,4,3,5,1] => [6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[6,7,2,4,5,1,3] => [6,7,2,5,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[6,7,2,4,5,3,1] => [6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[6,7,2,5,1,3,4] => [6,7,2,5,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,2,5,1,4,3] => [6,7,2,5,1,4,3] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,2,5,3,1,4] => [6,7,2,5,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[6,7,2,5,3,4,1] => [6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[6,7,2,5,4,1,3] => [6,7,2,5,4,1,3] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[6,7,2,5,4,3,1] => [6,7,2,5,4,3,1] => [[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 2
[6,7,3,1,2,4,5] => [6,7,3,1,5,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,3,1,2,5,4] => [6,7,3,1,5,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,3,1,4,2,5] => [6,7,3,1,5,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,3,1,4,5,2] => [6,7,3,1,5,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,3,1,5,2,4] => [6,7,3,1,5,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,3,1,5,4,2] => [6,7,3,1,5,4,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,3,2,1,4,5] => [6,7,3,2,1,5,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,3,2,1,5,4] => [6,7,3,2,1,5,4] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,3,2,4,1,5] => [6,7,3,2,5,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[6,7,3,2,4,5,1] => [6,7,3,2,5,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[6,7,3,2,5,1,4] => [6,7,3,2,5,1,4] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[6,7,3,2,5,4,1] => [6,7,3,2,5,4,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[6,7,3,4,1,2,5] => [6,7,3,5,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,3,4,1,5,2] => [6,7,3,5,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,3,4,2,1,5] => [6,7,3,5,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[6,7,3,4,2,5,1] => [6,7,3,5,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[6,7,3,4,5,1,2] => [6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[6,7,3,4,5,2,1] => [6,7,3,5,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[6,7,3,5,1,2,4] => [6,7,3,5,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,3,5,1,4,2] => [6,7,3,5,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,3,5,2,1,4] => [6,7,3,5,2,1,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[6,7,3,5,2,4,1] => [6,7,3,5,2,4,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[6,7,3,5,4,1,2] => [6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[6,7,3,5,4,2,1] => [6,7,3,5,4,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[6,7,4,1,2,3,5] => [6,7,4,1,5,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,4,1,2,5,3] => [6,7,4,1,5,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,4,1,3,2,5] => [6,7,4,1,5,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,4,1,3,5,2] => [6,7,4,1,5,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,4,1,5,2,3] => [6,7,4,1,5,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,4,1,5,3,2] => [6,7,4,1,5,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,4,2,1,3,5] => [6,7,4,2,1,5,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,4,2,1,5,3] => [6,7,4,2,1,5,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,4,2,3,1,5] => [6,7,4,2,5,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[6,7,4,2,3,5,1] => [6,7,4,2,5,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[6,7,4,2,5,1,3] => [6,7,4,2,5,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[6,7,4,2,5,3,1] => [6,7,4,2,5,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[6,7,4,3,1,2,5] => [6,7,4,3,1,5,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,4,3,1,5,2] => [6,7,4,3,1,5,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,4,3,2,1,5] => [6,7,4,3,2,1,5] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[6,7,4,3,2,5,1] => [6,7,4,3,2,5,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[6,7,4,3,5,1,2] => [6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[6,7,4,3,5,2,1] => [6,7,4,3,5,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[6,7,4,5,1,2,3] => [6,7,4,5,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,4,5,1,3,2] => [6,7,4,5,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,7,4,5,2,1,3] => [6,7,4,5,2,1,3] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[6,7,4,5,2,3,1] => [6,7,4,5,2,3,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[6,7,4,5,3,1,2] => [6,7,4,5,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[6,7,4,5,3,2,1] => [6,7,4,5,3,2,1] => [[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 2
[6,7,5,1,2,3,4] => [6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,5,1,2,4,3] => [6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,5,1,3,2,4] => [6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,5,1,3,4,2] => [6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,5,1,4,2,3] => [6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,5,1,4,3,2] => [6,7,5,1,4,3,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 2
[6,7,5,2,1,3,4] => [6,7,5,2,1,4,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,5,2,1,4,3] => [6,7,5,2,1,4,3] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,5,2,3,1,4] => [6,7,5,2,4,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[6,7,5,2,3,4,1] => [6,7,5,2,4,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[6,7,5,2,4,1,3] => [6,7,5,2,4,1,3] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[6,7,5,2,4,3,1] => [6,7,5,2,4,3,1] => [[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 2
[6,7,5,3,1,2,4] => [6,7,5,3,1,4,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,5,3,1,4,2] => [6,7,5,3,1,4,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,5,3,2,1,4] => [6,7,5,3,2,1,4] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[6,7,5,3,2,4,1] => [6,7,5,3,2,4,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[6,7,5,3,4,1,2] => [6,7,5,3,4,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[6,7,5,3,4,2,1] => [6,7,5,3,4,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 2
[6,7,5,4,1,2,3] => [6,7,5,4,1,3,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,5,4,1,3,2] => [6,7,5,4,1,3,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[6,7,5,4,2,1,3] => [6,7,5,4,2,1,3] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[6,7,5,4,2,3,1] => [6,7,5,4,2,3,1] => [[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 2
[6,7,5,4,3,1,2] => [6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 2
[6,7,5,4,3,2,1] => [6,7,5,4,3,2,1] => [[[[[[.,[.,.]],.],.],.],.],.] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1
[7,1,2,3,4,5,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,3,4,6,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,3,5,4,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,3,5,6,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,3,6,4,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,3,6,5,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,4,3,5,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,4,3,6,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,4,5,3,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,4,5,6,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,4,6,3,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,4,6,5,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,5,3,4,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,5,3,6,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,5,4,3,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,5,4,6,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,5,6,3,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,5,6,4,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,6,3,4,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,6,3,5,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,6,4,3,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,6,4,5,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,6,5,3,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,2,6,5,4,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,2,4,5,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,2,4,6,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,2,5,4,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,2,5,6,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,2,6,4,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,2,6,5,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,4,2,5,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,4,2,6,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,4,5,2,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,4,5,6,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,4,6,2,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,4,6,5,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,5,2,4,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,5,2,6,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,5,4,2,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,5,4,6,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,5,6,2,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,5,6,4,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,6,2,4,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,6,2,5,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,6,4,2,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,6,4,5,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,6,5,2,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,3,6,5,4,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,2,3,5,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,2,3,6,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,2,5,3,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,2,5,6,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,2,6,3,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,2,6,5,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,3,2,5,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,3,2,6,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,3,5,2,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,3,5,6,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,3,6,2,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,3,6,5,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,5,2,3,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,5,2,6,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,5,3,2,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,5,3,6,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,5,6,2,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,5,6,3,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,6,2,3,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,6,2,5,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,6,3,2,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,6,3,5,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,6,5,2,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,4,6,5,3,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,2,3,4,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,2,3,6,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,2,4,3,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,2,4,6,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,2,6,3,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,2,6,4,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,3,2,4,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,3,2,6,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,3,4,2,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,3,4,6,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,3,6,2,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,3,6,4,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,4,2,3,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,4,2,6,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,4,3,2,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,4,3,6,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,4,6,2,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,4,6,3,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,6,2,3,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,6,2,4,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,6,3,2,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,6,3,4,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,6,4,2,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,5,6,4,3,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,2,3,4,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,2,3,5,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,2,4,3,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,2,4,5,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,2,5,3,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,2,5,4,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,3,2,4,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,3,2,5,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,3,4,2,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,3,4,5,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,3,5,2,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,3,5,4,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,4,2,3,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,4,2,5,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,4,3,2,5] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,4,3,5,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,4,5,2,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,4,5,3,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,5,2,3,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,5,2,4,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,5,3,2,4] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,5,3,4,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,5,4,2,3] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,1,6,5,4,3,2] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[7,2,1,3,4,5,6] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,3,4,6,5] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,3,5,4,6] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,3,5,6,4] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,3,6,4,5] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,3,6,5,4] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,4,3,5,6] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,4,3,6,5] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,4,5,3,6] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,4,5,6,3] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,4,6,3,5] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,4,6,5,3] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,5,3,4,6] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,5,3,6,4] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,5,4,3,6] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,5,4,6,3] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,5,6,3,4] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,5,6,4,3] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,6,3,4,5] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,6,3,5,4] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,6,4,3,5] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,6,4,5,3] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,6,5,3,4] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,1,6,5,4,3] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,2,3,1,4,5,6] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,3,1,4,6,5] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,3,1,5,4,6] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,3,1,5,6,4] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,3,1,6,4,5] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,3,1,6,5,4] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,3,4,1,5,6] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,3,4,1,6,5] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,3,4,5,1,6] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,3,4,5,6,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,3,4,6,1,5] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,3,4,6,5,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,3,5,1,4,6] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,3,5,1,6,4] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,3,5,4,1,6] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,3,5,4,6,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,3,5,6,1,4] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,3,5,6,4,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,3,6,1,4,5] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,3,6,1,5,4] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,3,6,4,1,5] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,3,6,4,5,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,3,6,5,1,4] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,3,6,5,4,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,4,1,3,5,6] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,4,1,3,6,5] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,4,1,5,3,6] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,4,1,5,6,3] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,4,1,6,3,5] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,4,1,6,5,3] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,4,3,1,5,6] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,4,3,1,6,5] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,4,3,5,1,6] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,4,3,5,6,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,4,3,6,1,5] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,4,3,6,5,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,4,5,1,3,6] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,4,5,1,6,3] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,4,5,3,1,6] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,4,5,3,6,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,4,5,6,1,3] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,4,5,6,3,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,4,6,1,3,5] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,4,6,1,5,3] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,4,6,3,1,5] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,4,6,3,5,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,4,6,5,1,3] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,4,6,5,3,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,5,1,3,4,6] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,5,1,3,6,4] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,5,1,4,3,6] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,5,1,4,6,3] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,5,1,6,3,4] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,5,1,6,4,3] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,5,3,1,4,6] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,5,3,1,6,4] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,5,3,4,1,6] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,5,3,4,6,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,5,3,6,1,4] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,5,3,6,4,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,5,4,1,3,6] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,5,4,1,6,3] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,5,4,3,1,6] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,5,4,3,6,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,5,4,6,1,3] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,5,4,6,3,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,5,6,1,3,4] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,5,6,1,4,3] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,5,6,3,1,4] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,5,6,3,4,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,5,6,4,1,3] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,5,6,4,3,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,6,1,3,4,5] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,6,1,3,5,4] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,6,1,4,3,5] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,6,1,4,5,3] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,6,1,5,3,4] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,6,1,5,4,3] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,2,6,3,1,4,5] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,6,3,1,5,4] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,6,3,4,1,5] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,6,3,4,5,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,6,3,5,1,4] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,6,3,5,4,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,6,4,1,3,5] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,6,4,1,5,3] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,6,4,3,1,5] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,6,4,3,5,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,6,4,5,1,3] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,6,4,5,3,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,6,5,1,3,4] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,6,5,1,4,3] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,2,6,5,3,1,4] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,6,5,3,4,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,2,6,5,4,1,3] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,6,5,4,3,1] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1
[7,3,1,2,4,5,6] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,2,4,6,5] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,2,5,4,6] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,2,5,6,4] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,2,6,4,5] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,2,6,5,4] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,4,2,5,6] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,4,2,6,5] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,4,5,2,6] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,4,5,6,2] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,4,6,2,5] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,4,6,5,2] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,5,2,4,6] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,5,2,6,4] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,5,4,2,6] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,5,4,6,2] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,5,6,2,4] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,5,6,4,2] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,6,2,4,5] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,6,2,5,4] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,6,4,2,5] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,6,4,5,2] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,6,5,2,4] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,1,6,5,4,2] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,3,2,1,4,5,6] => [7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,3,2,1,4,6,5] => [7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,3,2,1,5,4,6] => [7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,3,2,1,5,6,4] => [7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,3,2,1,6,4,5] => [7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,3,2,1,6,5,4] => [7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,3,2,4,1,5,6] => [7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,3,2,4,1,6,5] => [7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,3,2,4,5,1,6] => [7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,3,2,4,5,6,1] => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,3,2,4,6,1,5] => [7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,3,2,4,6,5,1] => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,3,2,5,1,4,6] => [7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,3,2,5,1,6,4] => [7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,3,2,5,4,1,6] => [7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,3,2,5,4,6,1] => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,3,2,5,6,1,4] => [7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,3,2,5,6,4,1] => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,3,2,6,1,4,5] => [7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,3,2,6,1,5,4] => [7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,3,2,6,4,1,5] => [7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,3,2,6,4,5,1] => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,3,2,6,5,1,4] => [7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,3,2,6,5,4,1] => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,3,4,1,2,5,6] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,4,1,2,6,5] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,4,1,5,2,6] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,4,1,5,6,2] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,4,1,6,2,5] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,4,1,6,5,2] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,4,2,1,5,6] => [7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,3,4,2,1,6,5] => [7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,3,4,2,5,1,6] => [7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,3,4,2,5,6,1] => [7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,3,4,2,6,1,5] => [7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,3,4,2,6,5,1] => [7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,3,4,5,1,2,6] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,4,5,1,6,2] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,4,5,2,1,6] => [7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,3,4,5,2,6,1] => [7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,3,4,5,6,1,2] => [7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,3,4,5,6,2,1] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[7,3,4,6,1,2,5] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,4,6,1,5,2] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,4,6,2,1,5] => [7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,3,4,6,2,5,1] => [7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,3,4,6,5,1,2] => [7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,3,4,6,5,2,1] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[7,3,5,1,2,4,6] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,5,1,2,6,4] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,5,1,4,2,6] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,5,1,4,6,2] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,5,1,6,2,4] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,5,1,6,4,2] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,5,2,1,4,6] => [7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,3,5,2,1,6,4] => [7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,3,5,2,4,1,6] => [7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,3,5,2,4,6,1] => [7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,3,5,2,6,1,4] => [7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,3,5,2,6,4,1] => [7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,3,5,4,1,2,6] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,5,4,1,6,2] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,5,4,2,1,6] => [7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,3,5,4,2,6,1] => [7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,3,5,4,6,1,2] => [7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,3,5,4,6,2,1] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[7,3,5,6,1,2,4] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,5,6,1,4,2] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,5,6,2,1,4] => [7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,3,5,6,2,4,1] => [7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,3,5,6,4,1,2] => [7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,3,5,6,4,2,1] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[7,3,6,1,2,4,5] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,6,1,2,5,4] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,6,1,4,2,5] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,6,1,4,5,2] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,6,1,5,2,4] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,6,1,5,4,2] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,3,6,2,1,4,5] => [7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,3,6,2,1,5,4] => [7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,3,6,2,4,1,5] => [7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,3,6,2,4,5,1] => [7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,3,6,2,5,1,4] => [7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,3,6,2,5,4,1] => [7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,3,6,4,1,2,5] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,6,4,1,5,2] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,6,4,2,1,5] => [7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,3,6,4,2,5,1] => [7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,3,6,4,5,1,2] => [7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,3,6,4,5,2,1] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[7,3,6,5,1,2,4] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,6,5,1,4,2] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,3,6,5,2,1,4] => [7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,3,6,5,2,4,1] => [7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,3,6,5,4,1,2] => [7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 2
[7,3,6,5,4,2,1] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[7,4,1,2,3,5,6] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,2,3,6,5] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,2,5,3,6] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,2,5,6,3] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,2,6,3,5] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,2,6,5,3] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,3,2,5,6] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,3,2,6,5] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,3,5,2,6] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,3,5,6,2] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,3,6,2,5] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,3,6,5,2] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,5,2,3,6] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,5,2,6,3] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,5,3,2,6] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,5,3,6,2] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,5,6,2,3] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,5,6,3,2] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,6,2,3,5] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,6,2,5,3] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,6,3,2,5] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,6,3,5,2] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,6,5,2,3] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,1,6,5,3,2] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,4,2,1,3,5,6] => [7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,2,1,3,6,5] => [7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,2,1,5,3,6] => [7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,2,1,5,6,3] => [7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,2,1,6,3,5] => [7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,2,1,6,5,3] => [7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,2,3,1,5,6] => [7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,2,3,1,6,5] => [7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,2,3,5,1,6] => [7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,4,2,3,5,6,1] => [7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,4,2,3,6,1,5] => [7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,4,2,3,6,5,1] => [7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,4,2,5,1,3,6] => [7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,2,5,1,6,3] => [7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,2,5,3,1,6] => [7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,4,2,5,3,6,1] => [7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,4,2,5,6,1,3] => [7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,4,2,5,6,3,1] => [7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,4,2,6,1,3,5] => [7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,2,6,1,5,3] => [7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,2,6,3,1,5] => [7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,4,2,6,3,5,1] => [7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,4,2,6,5,1,3] => [7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,4,2,6,5,3,1] => [7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,4,3,1,2,5,6] => [7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,3,1,2,6,5] => [7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,3,1,5,2,6] => [7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,3,1,5,6,2] => [7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,3,1,6,2,5] => [7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,3,1,6,5,2] => [7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,4,3,2,1,5,6] => [7,4,3,2,1,6,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,4,3,2,1,6,5] => [7,4,3,2,1,6,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,4,3,2,5,1,6] => [7,4,3,2,6,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,4,3,2,5,6,1] => [7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,4,3,2,6,1,5] => [7,4,3,2,6,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,4,3,2,6,5,1] => [7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,4,3,5,1,2,6] => [7,4,3,6,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,3,5,1,6,2] => [7,4,3,6,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,3,5,2,1,6] => [7,4,3,6,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,4,3,5,2,6,1] => [7,4,3,6,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[7,4,3,5,6,1,2] => [7,4,3,6,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,4,3,5,6,2,1] => [7,4,3,6,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[7,4,3,6,1,2,5] => [7,4,3,6,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,3,6,1,5,2] => [7,4,3,6,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,4,3,6,2,1,5] => [7,4,3,6,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,4,3,6,2,5,1] => [7,4,3,6,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[7,4,3,6,5,1,2] => [7,4,3,6,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,4,3,6,5,2,1] => [7,4,3,6,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[7,4,5,1,2,3,6] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,5,1,2,6,3] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,5,1,3,2,6] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,5,1,3,6,2] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,5,1,6,2,3] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,5,1,6,3,2] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,5,2,1,3,6] => [7,4,6,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,4,5,2,1,6,3] => [7,4,6,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,4,5,2,3,1,6] => [7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,4,5,2,3,6,1] => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,4,5,2,6,1,3] => [7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,4,5,2,6,3,1] => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,4,5,3,1,2,6] => [7,4,6,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,4,5,3,1,6,2] => [7,4,6,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,4,5,3,2,1,6] => [7,4,6,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[7,4,5,3,2,6,1] => [7,4,6,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[7,4,5,3,6,1,2] => [7,4,6,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,4,5,3,6,2,1] => [7,4,6,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[7,4,5,6,1,2,3] => [7,4,6,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,4,5,6,1,3,2] => [7,4,6,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,4,5,6,2,1,3] => [7,4,6,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,4,5,6,2,3,1] => [7,4,6,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,4,5,6,3,1,2] => [7,4,6,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,4,5,6,3,2,1] => [7,4,6,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1
[7,4,6,1,2,3,5] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,6,1,2,5,3] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,6,1,3,2,5] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,6,1,3,5,2] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,6,1,5,2,3] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,6,1,5,3,2] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,4,6,2,1,3,5] => [7,4,6,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,4,6,2,1,5,3] => [7,4,6,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,4,6,2,3,1,5] => [7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,4,6,2,3,5,1] => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,4,6,2,5,1,3] => [7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,4,6,2,5,3,1] => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,4,6,3,1,2,5] => [7,4,6,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,4,6,3,1,5,2] => [7,4,6,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,4,6,3,2,1,5] => [7,4,6,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[7,4,6,3,2,5,1] => [7,4,6,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[7,4,6,3,5,1,2] => [7,4,6,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,4,6,3,5,2,1] => [7,4,6,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[7,4,6,5,1,2,3] => [7,4,6,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,4,6,5,1,3,2] => [7,4,6,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 2
[7,4,6,5,2,1,3] => [7,4,6,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,4,6,5,2,3,1] => [7,4,6,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[7,4,6,5,3,1,2] => [7,4,6,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[7,4,6,5,3,2,1] => [7,4,6,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1
[7,5,1,2,3,4,6] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,2,3,6,4] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,2,4,3,6] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,2,4,6,3] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,2,6,3,4] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,2,6,4,3] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,3,2,4,6] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,3,2,6,4] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,3,4,2,6] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,3,4,6,2] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,3,6,2,4] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,3,6,4,2] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,4,2,3,6] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,4,2,6,3] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,4,3,2,6] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,4,3,6,2] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,4,6,2,3] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,4,6,3,2] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,6,2,3,4] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,6,2,4,3] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,6,3,2,4] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,6,3,4,2] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,6,4,2,3] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,1,6,4,3,2] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,5,2,1,3,4,6] => [7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,2,1,3,6,4] => [7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,2,1,4,3,6] => [7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,2,1,4,6,3] => [7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,2,1,6,3,4] => [7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,2,1,6,4,3] => [7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,2,3,1,4,6] => [7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,2,3,1,6,4] => [7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,2,3,4,1,6] => [7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,5,2,3,4,6,1] => [7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,5,2,3,6,1,4] => [7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,5,2,3,6,4,1] => [7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,5,2,4,1,3,6] => [7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,2,4,1,6,3] => [7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,2,4,3,1,6] => [7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,5,2,4,3,6,1] => [7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,5,2,4,6,1,3] => [7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,5,2,4,6,3,1] => [7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,5,2,6,1,3,4] => [7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,2,6,1,4,3] => [7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,2,6,3,1,4] => [7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,5,2,6,3,4,1] => [7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,5,2,6,4,1,3] => [7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,5,2,6,4,3,1] => [7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,5,3,1,2,4,6] => [7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,3,1,2,6,4] => [7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,3,1,4,2,6] => [7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,3,1,4,6,2] => [7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,3,1,6,2,4] => [7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,3,1,6,4,2] => [7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,3,2,1,4,6] => [7,5,3,2,1,6,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,5,3,2,1,6,4] => [7,5,3,2,1,6,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,5,3,2,4,1,6] => [7,5,3,2,6,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,5,3,2,4,6,1] => [7,5,3,2,6,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,5,3,2,6,1,4] => [7,5,3,2,6,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,5,3,2,6,4,1] => [7,5,3,2,6,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,5,3,4,1,2,6] => [7,5,3,6,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,3,4,1,6,2] => [7,5,3,6,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,3,4,2,1,6] => [7,5,3,6,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,5,3,4,2,6,1] => [7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[7,5,3,4,6,1,2] => [7,5,3,6,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,5,3,4,6,2,1] => [7,5,3,6,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[7,5,3,6,1,2,4] => [7,5,3,6,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,3,6,1,4,2] => [7,5,3,6,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,3,6,2,1,4] => [7,5,3,6,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,5,3,6,2,4,1] => [7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[7,5,3,6,4,1,2] => [7,5,3,6,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,5,3,6,4,2,1] => [7,5,3,6,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[7,5,4,1,2,3,6] => [7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,4,1,2,6,3] => [7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,4,1,3,2,6] => [7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,4,1,3,6,2] => [7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,4,1,6,2,3] => [7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,4,1,6,3,2] => [7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,5,4,2,1,3,6] => [7,5,4,2,1,6,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,5,4,2,1,6,3] => [7,5,4,2,1,6,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,5,4,2,3,1,6] => [7,5,4,2,6,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,5,4,2,3,6,1] => [7,5,4,2,6,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,5,4,2,6,1,3] => [7,5,4,2,6,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,5,4,2,6,3,1] => [7,5,4,2,6,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,5,4,3,1,2,6] => [7,5,4,3,1,6,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,5,4,3,1,6,2] => [7,5,4,3,1,6,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,5,4,3,2,1,6] => [7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[7,5,4,3,2,6,1] => [7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1
[7,5,4,3,6,1,2] => [7,5,4,3,6,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,5,4,3,6,2,1] => [7,5,4,3,6,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1
[7,5,4,6,1,2,3] => [7,5,4,6,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,4,6,1,3,2] => [7,5,4,6,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,5,4,6,2,1,3] => [7,5,4,6,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,5,4,6,2,3,1] => [7,5,4,6,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[7,5,4,6,3,1,2] => [7,5,4,6,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,5,4,6,3,2,1] => [7,5,4,6,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1
[7,5,6,1,2,3,4] => [7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,5,6,1,2,4,3] => [7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,5,6,1,3,2,4] => [7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,5,6,1,3,4,2] => [7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,5,6,1,4,2,3] => [7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,5,6,1,4,3,2] => [7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 2
[7,5,6,2,1,3,4] => [7,5,6,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,5,6,2,1,4,3] => [7,5,6,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,5,6,2,3,1,4] => [7,5,6,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,5,6,2,3,4,1] => [7,5,6,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,5,6,2,4,1,3] => [7,5,6,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,5,6,2,4,3,1] => [7,5,6,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 2
[7,5,6,3,1,2,4] => [7,5,6,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,5,6,3,1,4,2] => [7,5,6,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,5,6,3,2,1,4] => [7,5,6,3,2,1,4] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[7,5,6,3,2,4,1] => [7,5,6,3,2,4,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[7,5,6,3,4,1,2] => [7,5,6,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[7,5,6,3,4,2,1] => [7,5,6,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 2
[7,5,6,4,1,2,3] => [7,5,6,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,5,6,4,1,3,2] => [7,5,6,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[7,5,6,4,2,1,3] => [7,5,6,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[7,5,6,4,2,3,1] => [7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 2
[7,5,6,4,3,1,2] => [7,5,6,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 2
[7,5,6,4,3,2,1] => [7,5,6,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1
[7,6,1,2,3,4,5] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,2,3,5,4] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,2,4,3,5] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,2,4,5,3] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,2,5,3,4] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,2,5,4,3] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,3,2,4,5] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,3,2,5,4] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,3,4,2,5] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,3,4,5,2] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,3,5,2,4] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,3,5,4,2] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,4,2,3,5] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,4,2,5,3] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,4,3,2,5] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,4,3,5,2] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,4,5,2,3] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,4,5,3,2] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,5,2,3,4] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,5,2,4,3] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,5,3,2,4] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,5,3,4,2] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,5,4,2,3] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,1,5,4,3,2] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[7,6,2,1,3,4,5] => [7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,2,1,3,5,4] => [7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,2,1,4,3,5] => [7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,2,1,4,5,3] => [7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,2,1,5,3,4] => [7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,2,1,5,4,3] => [7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,2,3,1,4,5] => [7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,2,3,1,5,4] => [7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,2,3,4,1,5] => [7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,2,3,4,5,1] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,6,2,3,5,1,4] => [7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,2,3,5,4,1] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,6,2,4,1,3,5] => [7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,2,4,1,5,3] => [7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,2,4,3,1,5] => [7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,2,4,3,5,1] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,6,2,4,5,1,3] => [7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,2,4,5,3,1] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,6,2,5,1,3,4] => [7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,2,5,1,4,3] => [7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,2,5,3,1,4] => [7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,2,5,3,4,1] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,6,2,5,4,1,3] => [7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,2,5,4,3,1] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[7,6,3,1,2,4,5] => [7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,3,1,2,5,4] => [7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,3,1,4,2,5] => [7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,3,1,4,5,2] => [7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,3,1,5,2,4] => [7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,3,1,5,4,2] => [7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,3,2,1,4,5] => [7,6,3,2,1,5,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,3,2,1,5,4] => [7,6,3,2,1,5,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,3,2,4,1,5] => [7,6,3,2,5,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,6,3,2,4,5,1] => [7,6,3,2,5,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,6,3,2,5,1,4] => [7,6,3,2,5,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,6,3,2,5,4,1] => [7,6,3,2,5,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,6,3,4,1,2,5] => [7,6,3,5,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,3,4,1,5,2] => [7,6,3,5,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,3,4,2,1,5] => [7,6,3,5,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,6,3,4,2,5,1] => [7,6,3,5,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[7,6,3,4,5,1,2] => [7,6,3,5,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,3,4,5,2,1] => [7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[7,6,3,5,1,2,4] => [7,6,3,5,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,3,5,1,4,2] => [7,6,3,5,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,3,5,2,1,4] => [7,6,3,5,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,6,3,5,2,4,1] => [7,6,3,5,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[7,6,3,5,4,1,2] => [7,6,3,5,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 2
[7,6,3,5,4,2,1] => [7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[7,6,4,1,2,3,5] => [7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,4,1,2,5,3] => [7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,4,1,3,2,5] => [7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,4,1,3,5,2] => [7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,4,1,5,2,3] => [7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,4,1,5,3,2] => [7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,4,2,1,3,5] => [7,6,4,2,1,5,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,4,2,1,5,3] => [7,6,4,2,1,5,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,4,2,3,1,5] => [7,6,4,2,5,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,6,4,2,3,5,1] => [7,6,4,2,5,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,6,4,2,5,1,3] => [7,6,4,2,5,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,6,4,2,5,3,1] => [7,6,4,2,5,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,6,4,3,1,2,5] => [7,6,4,3,1,5,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,4,3,1,5,2] => [7,6,4,3,1,5,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,4,3,2,1,5] => [7,6,4,3,2,1,5] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[7,6,4,3,2,5,1] => [7,6,4,3,2,5,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1
[7,6,4,3,5,1,2] => [7,6,4,3,5,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,6,4,3,5,2,1] => [7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1
[7,6,4,5,1,2,3] => [7,6,4,5,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,4,5,1,3,2] => [7,6,4,5,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[7,6,4,5,2,1,3] => [7,6,4,5,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,6,4,5,2,3,1] => [7,6,4,5,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 2
[7,6,4,5,3,1,2] => [7,6,4,5,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 2
[7,6,4,5,3,2,1] => [7,6,4,5,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1
[7,6,5,1,2,3,4] => [7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,5,1,2,4,3] => [7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,5,1,3,2,4] => [7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,5,1,3,4,2] => [7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,5,1,4,2,3] => [7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,5,1,4,3,2] => [7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[7,6,5,2,1,3,4] => [7,6,5,2,1,4,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,5,2,1,4,3] => [7,6,5,2,1,4,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,5,2,3,1,4] => [7,6,5,2,4,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,6,5,2,3,4,1] => [7,6,5,2,4,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,6,5,2,4,1,3] => [7,6,5,2,4,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,6,5,2,4,3,1] => [7,6,5,2,4,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1
[7,6,5,3,1,2,4] => [7,6,5,3,1,4,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,5,3,1,4,2] => [7,6,5,3,1,4,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,5,3,2,1,4] => [7,6,5,3,2,1,4] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[7,6,5,3,2,4,1] => [7,6,5,3,2,4,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1
[7,6,5,3,4,1,2] => [7,6,5,3,4,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 2
[7,6,5,3,4,2,1] => [7,6,5,3,4,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1
[7,6,5,4,1,2,3] => [7,6,5,4,1,3,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,5,4,1,3,2] => [7,6,5,4,1,3,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[7,6,5,4,2,1,3] => [7,6,5,4,2,1,3] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[7,6,5,4,2,3,1] => [7,6,5,4,2,3,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1
[7,6,5,4,3,1,2] => [7,6,5,4,3,1,2] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,5 1,20,3 1,84,35 1,409,295,15 1,2365,2359,315
F1=1
F2=1+q
F3=1+5 q
F4=1+20 q+3 q2
F5=1+84 q+35 q2
F6=1+409 q+295 q2+15 q3
F7=1+2365 q+2359 q2+315 q3
Description
The number of valleys of the Dyck path.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a 123-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between 132-avoiding permutations and 123-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between 132-avoiding permutations and 123-avoiding permutations, see [1, Proposition 19].
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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