Identifier
-
Mp00143:
Dyck paths
—inverse promotion⟶
Dyck paths
Mp00143: Dyck paths —inverse promotion⟶ Dyck paths
St001032: Dyck paths ⟶ ℤ
Values
[1,0,1,0] => [1,1,0,0] => [1,0,1,0] => 2
[1,1,0,0] => [1,0,1,0] => [1,1,0,0] => 0
[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] => [1,1,1,0,0,0] => [1,1,0,0,1,0] => 1
[1,1,0,0,1,0] => [1,0,1,1,0,0] => [1,1,1,0,0,0] => 1
[1,1,0,1,0,0] => [1,0,1,0,1,0] => [1,1,0,1,0,0] => 1
[1,1,1,0,0,0] => [1,1,0,0,1,0] => [1,0,1,1,0,0] => 1
[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] => [1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,0] => 0
[1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0] => 2
[1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0] => 2
[1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0] => 2
[1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0] => 2
[1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0] => 2
[1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0] => 2
[1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0] => 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] => 5
[1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => 3
[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] => 3
[1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => 1
[1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => 1
[1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0] => 1
[1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,0] => 1
[1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0] => 1
[1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0] => 1
[1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0] => 1
[1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0] => 1
[1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0] => 3
[1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0] => 3
[1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0] => 1
[1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0] => 1
[1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0] => 1
[1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0] => 1
[1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0] => 1
[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] => [1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => 2
>>> Load all 1200 entries. <<<[1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => [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] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0] => 4
[1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0] => 2
[1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0] => 2
[1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0] => 4
[1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0] => 4
[1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0] => 4
[1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0] => 4
[1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [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] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 1
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 3
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
[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] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 5
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 3
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 5
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 1
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 3
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 5
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 5
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 5
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 5
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 3
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 3
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 3
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 5
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 5
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 5
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 5
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 3
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 5
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 5
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 5
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 3
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 3
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 5
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 5
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 5
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 5
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 5
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 3
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 1
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 3
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 3
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 1
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 3
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 3
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 3
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 3
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 3
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 3
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 3
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1
[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] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 4
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 2
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 4
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 4
[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 4
[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 2
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 4
[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 6
[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 6
[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 4
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 6
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 2
[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 4
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 2
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 2
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 4
[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 6
[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 4
[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] => [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 6
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] => [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] => [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] => [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0] => [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] => [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] => [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 4
[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 4
[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 4
[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0] => [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 4
[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 4
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] => [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 4
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0] => [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 4
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0] => [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 2
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] => [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 2
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0] => [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] => [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] => [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] => [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] => [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0] => [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] => [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] => [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 2
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0] => [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 2
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] => [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0] => [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 4
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
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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:
1,0,1 4,0,1 2,0,11,0,1 15,0,26,0,1 5,0,69,0,57,0,1 56,0,252,0,120,0,1
$F_{2} = 1 + q^{2}$
$F_{3} = 4\ q + q^{3}$
$F_{4} = 2 + 11\ q^{2} + q^{4}$
$F_{5} = 15\ q + 26\ q^{3} + q^{5}$
$F_{6} = 5 + 69\ q^{2} + 57\ q^{4} + q^{6}$
$F_{7} = 56\ q + 252\ q^{3} + 120\ q^{5} + q^{7}$
Description
The number of horizontal steps in the bicoloured Motzkin path associated with the Dyck path.
In other words, this is the number of valleys and peaks whose first step is in odd position, the initial position equal to 1.
The generating function is given in [1].
In other words, this is the number of valleys and peaks whose first step is in odd position, the initial position equal to 1.
The generating function is given in [1].
Map
inverse promotion
Description
The inverse promotion of a Dyck path.
This is the bijection obtained by applying the inverse of Schützenberger's promotion to the corresponding two rowed standard Young tableau.
This is the bijection obtained by applying the inverse of Schützenberger's promotion to the corresponding two rowed standard Young tableau.
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