Identifier
-
Mp00229:
Dyck paths
—Delest-Viennot⟶
Dyck paths
Mp00103: Dyck paths —peeling map⟶ Dyck paths
St000011: Dyck paths ⟶ ℤ
Values
[1,0] => [1,0] => [1,0] => 1
[1,0,1,0] => [1,1,0,0] => [1,0,1,0] => 2
[1,1,0,0] => [1,0,1,0] => [1,0,1,0] => 2
[1,0,1,0,1,0] => [1,1,0,1,0,0] => [1,0,1,0,1,0] => 3
[1,0,1,1,0,0] => [1,1,0,0,1,0] => [1,0,1,0,1,0] => 3
[1,1,0,0,1,0] => [1,0,1,1,0,0] => [1,0,1,0,1,0] => 3
[1,1,0,1,0,0] => [1,1,1,0,0,0] => [1,0,1,0,1,0] => 3
[1,1,1,0,0,0] => [1,0,1,0,1,0] => [1,0,1,0,1,0] => 3
[1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0] => 4
[1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0] => 3
[1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0] => 4
[1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0] => 4
[1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0] => 4
[1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0] => 4
[1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0] => 4
[1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => 4
[1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => 4
[1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 3
[1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
>>> Load all 1820 entries. <<<[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 5
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 5
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 3
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 7
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 3
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 7
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 4
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 7
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => 3
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => 3
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,1,0,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 8
[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 11
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 9
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10
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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:
1,13 2,6,34 5,13,25,89 14,34,58,90,233
F1=q
F2=2 q2
F3=5 q3
F4=q3+13 q4
F5=2 q3+6 q4+34 q5
F6=5 q3+13 q4+25 q5+89 q6
F7=14 q3+34 q4+58 q5+90 q6+233 q7
Description
The number of touch points (or returns) of a Dyck path.
This is the number of points, excluding the origin, where the Dyck path has height 0.
This is the number of points, excluding the origin, where the Dyck path has height 0.
Map
Delest-Viennot
Description
Return the Dyck path corresponding to the parallelogram polyomino obtained by applying Delest-Viennot's bijection.
Let D be a Dyck path of semilength n. The parallelogram polyomino γ(D) is defined as follows: let ˜D=d0d1…d2n+1 be the Dyck path obtained by prepending an up step and appending a down step to D. Then, the upper path of γ(D) corresponds to the sequence of steps of ˜D with even indices, and the lower path of γ(D) corresponds to the sequence of steps of ˜D with odd indices.
The Delest-Viennot bijection β returns the parallelogram polyomino, whose column heights are the heights of the peaks of the Dyck path, and the intersection heights between columns are the heights of the valleys of the Dyck path.
This map returns the Dyck path (γ(−1)∘β)(D).
Let D be a Dyck path of semilength n. The parallelogram polyomino γ(D) is defined as follows: let ˜D=d0d1…d2n+1 be the Dyck path obtained by prepending an up step and appending a down step to D. Then, the upper path of γ(D) corresponds to the sequence of steps of ˜D with even indices, and the lower path of γ(D) corresponds to the sequence of steps of ˜D with odd indices.
The Delest-Viennot bijection β returns the parallelogram polyomino, whose column heights are the heights of the peaks of the Dyck path, and the intersection heights between columns are the heights of the valleys of the Dyck path.
This map returns the Dyck path (γ(−1)∘β)(D).
Map
peeling map
Description
Send a Dyck path to its peeled Dyck path.
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